rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009...

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Transcript of rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009...

Page 1: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,
Page 2: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,
Page 3: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

i

rdZ'kfDr (Reasoning)

n`f"V ifCyds'kUl641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009

nwjHkk"k% 011-47532596, 87501 87501

Website:www.drishtipublications.com, www.drishtiias.com

E-mail :[email protected]

Page 4: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

izFke laLdj.k& ebZ 2018

ewY; % ` 340

izdk'kd

n`f"VifCyds'kUl] (A Unit of VDK Publications Pvt. Ltd.)

641]izFkery]

MkW-eq[kthZuxj]

fnYyh&110009

fofèkd?kks"k.kk,¡

bl iqLrd eas izdkf'kr lwpuk,¡] lekpkj] Kku ,oa rF; iwjh rjg ls lR;kfir fd;s x, gSaA fiQj Hkh] ;fn dksbZ

tkudkjh ;k rF; xyr izdkf'kr gks x;k gks rks izdk'kd] laiknd ;k eqnzd mlls fdlh O;fDr&fo'ks"k ;k laLFkk

dks igq¡ph {kfr ds fy;s f”kEesnkj ugha gSA

ge fo'okl djrs gSa fd bl iqLrd esa Nih lkexzh ys[kdksa }kjk ekSfyd :i ls fy[kh xbZ gSA vxj dkWihjkbV

mYya?ku dk dksbZ ekeyk lkeus vkrk gS rks izdk'kd dks f”kEesnkj ugha Bgjk;k tk,xkA

lHkh fooknksa dk fuiVkjk fnYyh U;kf;d {ks=k esa gksxkA

© dkWihjkbV% n`f"V ifCyds'kUl (A Unit of VDK Publications Pvt. Ltd.)] lokZfèkdkj lqjf{krA bl izdk'ku

ds fdlh Hkh va'k dk izdk'ku vFkok mi;ksx] izfrfyihdj.k] ,sls ;a=k esa HkaMkj.k ftlls bls iqu% izkIr fd;k

tk ldrk gks ;k LFkkukUrj.k] fdlh Hkh :i esa ;k fdlh Hkh fofèk ls (bysDVªkWfud] ;kaf=kd] iQksVks&izfrfyfi]

fjdkWfM±x ;k fdlh vU; izdkj ls) izdk'kd dh iwokZuqefr ds fcuk ugha fd;k tk ldrkA

,e-ih- fizaVlZ] ch&220] isQ”k&2] uks,Mk (mÙkj izns'k) ls eqfnzrA

Page 5: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

fç; ikBdks]fdlh Hkh çfr;ksxh ijh{kk esa liQyrk ds fy;s dBksj ifjJe] vuq'kklu] mRÑ"V vè;;u lkexzh dk p;u o iBu vkSj

y{; ds çfr lgh j.kuhfr vko';d 'krs± gksrh gSaA tks vH;FkhZ bu vko';d 'krks± dks larqfyr rjhds ls lkèk ysrk gS] og liQyrk lwph esa viuk uke vafdr djok ysrk gSA lkekU;r% vafre liQyrk lwph esa fganh ekè;e ds vH;fFkZ;ksa dh la[;k vaxzs”kh ekè;e ds vH;fFkZ;ksa dh vis{kk de jgrh gSA bldk ,d çeq[k dkj.k fganh esa mRÑ"V ,oa fo'oluh; vè;;u lkexzh dk vHkko gksuk gSA fganh ekè;e ds vH;fFkZ;ksa dh bl xaHkhj leL;k dk mfpr lekèkku fd;k tk lds] blh mís'; ds lkFk ^n`f"V ifCyds'kUl* dh LFkkiuk dh xbZ gSA è;krO; gS fd bldh LFkkiuk ds le; ls gh ;g ckr gekjs ”ksgu esa Fkh fd ^rdZ'kfDr (Reasoning)* ds fy;s 450–500 i`"Bksa dh ,d ,slh iqLrd gksuh pkfg;s tks leLr çfr;ksxh ijh{kkvksa (IAS, PCS lfgr NDA, CDS, CAPF, Banking, SSC, Railway bR;kfn) ds fy;s mi;ksxh lkfcr gks ldsA vius blh mís'; dks è;ku esa j[kdj ;g ,slh iqLrd çdkf'kr dj jgs gSa tks xq.koÙkk esa vaxzs”kh dh fdlh Hkh iqLrd ls derj ugha gSA ^rdZ'kfDr* dh ;g iqLrd bl çdkj rS;kj dh xbZ gS fd lHkh çfr;ksxh ijh{kkvksa esa ;g vkèkkj xazFk dk dk;Z djsxhA

iqLrd ys[ku ls iwoZ geus ck”kkj esa miyCèk jh”k¯ux dh iqLrdksa dk voyksdu djus ds nkSjku geus ;g ik;k fd fganh esa rdZ'kfDr ls lacafèkr iqLrdksa dh dksbZ deh ugha gS] ysfdu ^dkWih&isLV* i¼fr ij fy[kh xbZ bu iqLrdksa esa u dsoy vR;fèkd v'kqf¼;k¡ gSa] oju~ v|rurk (Updation) dk Hkh vHkko gSA fu%lansg xSj&ijh{kksi;ksxh rF;ksa ls ;qDr bu iqLrdksa dh Lrjghurk dk [kkfe;k”kk varr% vH;£Fk;ksa dks gh Hkqxruk iM+rk gS] ifj.kkeLo:i muds le{k fodYighurk dh fLFkfr mRiUu gks tkrh gSA

blh fodYighurk dks [+kRe djus dh dfBu pqukSrh gekjh 10 lnL;h; dq'ky Vhe us Lohdkj dhA fofHkUu ,d fnolh; ijh{kkvksa dk lqnh?kZ vuqHko j[kus okyh bl Vhe ds lnL;ksa us fnu&jkr ,d djds bl egÙoiw.kZ dk;Z dks vius vatke rd igq¡pk;kA rhu [kaMksa esa rS;kj dh xbZ bl iqLrd dks =kqfVjfgr ,oa çkekf.kd cukus ds fy;s bldk dbZ pj.kksa esa lw{e fujh{k.k fd;k x;kA ge iqLrd dh xq.koÙkk ds lkFk dksbZ le>kSrk ugha djuk pkgrs Fks] blh dkj.k iqLrd ds i`"Bksa dh la[;k ,oa çdk'ku dh frfFk r; lhek ls vkxs c<+kuh iM+hA

tc vki bl iqLrd dks i<+saxs rks ik,axs fd blds çR;sd [kaM esa iz'uksa dks lgt ,oa ljy Hkk"kk esa le>krs gq, fy[kk x;k gS] rkfd fo"k; ls lacafèkr vo/kj.kkvksa dks vklkuh ls vkRelkr~ fd;k tk ldsA iqLrd fy[kus ds Øe esa fd;s x, 'kksèk esa geus ik;k fd fofHkUu vk;ksxksa dh cnyrh ijh{kk i¼fr esa Hkkf"kd] vHkkf"kd rFkk fo'ys"k.kkRed rdZ'kfDr tSls [kaMksa dk egÙo vc igys ls dgha vfèkd c<+ x;k gS] ysfdu ck”kkj esa miyCèk ijaijkxr rjhdksa ls fy[kh xbZ rdZ'kfDr dh iqLrdksa esa ;k rks ;s [kaM iw.kZ :i ls lekfgr ugha gSa ;k vO;ofLFkr rjhds ls fn;s x, gSa] blfy;s bu [kaMksa dks O;ofLFkr rjhds ls çLrqr djuk gekjh çkFkfedrkvksa esa 'kkfey Fkk vkSj gesa [kq'kh gS fd ge ,slk dj ikus esa liQy jgs gSaA

vH;£Fk;ksa dh lqfoèkk dks è;ku esa j[krs gq, bl iqLrd esa tfVy 'kCnksa ds i;kZ; vaxzs”kh esa Hkh fn;s x, gSa rkfd ekufodh ds fo|kfFkZ;ksa dks fo"k; dks le>us esa dksbZ ijs'kkuh u gksA blds fy;s fp=kksa ,oa ÝykspkVZ dk Hkh leqfpr ç;ksx fd;k x;k gSA vH;kl gsrq O;k[;k lfgr egÙoiw.kZ ç'u Hkh fn;s x, gSa] rkfd vH;FkhZ ijh{kk ls iwoZ LoewY;kadu dj ldsaA izR;sd vè;k; ds var esa fofHkUu ijh{kkvksa esa iwNs x, iz'uksa dks mÙkj lfgr fn;k x;k gS] rkfd vH;FkhZ fofHkUu ijh{kkvksa ls lac¼ iz'u iwNus dh i¼fr dks le> ldsaA vius bZekunkjhiw.kZ ç;klksa ,oa iqLrd esa lfEefyr mRÑ"V ,oa ijh{kksi;ksxh vè;;u lkexzh ds vkèkkj ij ge iwjs nkos ds lkFk dg ldrs gSa fd fganh ekè;e ds fo|kfFkZ;ksa ds fy;s ^rdZ'kfDr* dh ;g iqLrd ^ehy dk iRFkj* lkfcr gksxhA

gesa Hkjkslk gS fd ;g iqLrd vkidh mEehnksa ij [kjk mrjsxhA esjk fuosnu gS fd vki bl iqLrd dks ikBd ds lkFk&lkFk vkykspd dh u”kj ls Hkh i<+saA vxj vkidks dksbZ Hkh deh fn[ks rks csf>>d 8130392355 uacj ij okV~l,i eSlst ls Hkst nsaA vkidh fVIif.k;ksa vkSj lq>koksa ds vkèkkj ij gh ge bls lq#fpdj o izkekf.kd cuk ldsaxsA

lkHkkj]

izèkku laiknd n`f"V ifCyds'kUl

nks 'kCn---

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vuqØe

Hkkf"kd rdZ'kfDr (Verbal Reasoning) 1-248

fo'ys"k.kkRed rdZ'kfDr (Analytical Reasoning) 411-490

vHkkf"kd rdZ'kfDr (Non-Verbal Reasoning) 249-410

1. dksfMax&fMdksfMax ----------------------------------3–27

2. la[;k rFkk v{kj Ük`a[kyk ----------------------28–44

3. lkn`';rk ijh{k.k --------------------------------45–55

4. oxhZdj.k ------------------------------------------56–64

5. jDr&lacaèk ----------------------------------------65–81

6. fn'kk ijh{k.k -----------------------------------82–106

7. js[kh;] o`Ùkh; rFkk tfVy ;k fefJr O;oLFkk,¡ --- ------------------------------------------------- 107–127

8. Js.khØe vkSj vuqØe ---------------------- 128–152

9. buiqV & vkmViqV ----------------------------- 153–165

10. xf.krh; lafØ;k,¡ ---------------------------- 166–182

11. rk£dd osu vkjs[k -------------------------- 183–209

12. U;k; fuxeu ---------------------------------- 210–242

13. rk£dd igsfy;k¡ ----------------------------- 243–248

fo'ys"k.kkRed rdZ'kfDr dk ifjp; -------------413–415

1. dFku vkSj rdZ ------------------------------ 416–429

2. dFku vkSj iwoZ/kkj.kk,¡ --------------------- 430–443

3. dFku vkSj fu"d"kZ -------------------------- 444–456

4. dFku vkSj dk;Zokgh ------------------------ 457–470

5. vfHkdFku vkSj dkj.k ---------------------- 471–478

6. dkj.k rFkk izHkko --------------------------- 479–490

1. Ük`a[kyk ----------------------------------------- 251–265

2. lkn`';rk --------------------------------------- 266–275

3. oxhZdj.k -------------------------------------- 276–281

4. iklk -------------------------------------------- 282–301

5. ?ku rFkk ?kukHk ------------------------------- 302–312

6. ?kfM+;k¡ ------------------------------------------ 313–323

7. dSysaMj ----------------------------------------- 324–335

8. niZ.k izfrfcac --------------------------------- 336–348

9. ty izfrfcac ---------------------------------- 349–357

10. layXu vkjs[k --------------------------------- 358–368

11. fp=k dks iw.kZ djuk ------------------------- 369–382

12. dkx”k dks dkVuk] tksM+uk vkSj eksM+uk -------------- ------------------------------------------------- 383–396

13. fp=kksa dks fxuuk------------------------------ 397–410

Page 8: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

1. dksfMax &fMdksfMax (Coding-Decoding)

2. la[;k rFkk v{kj Ük`a[kyk (Numbers and Letters Series)

3. lkn`';rk ijh{k.k (Analogy Test)

4. oxhZdj.k (Classifications)

5. jDr&laca/k (Blood-Relations)

6. fn'kk ijh{k.k (Direction Test)

7. js[kh;] o`Ùkh; rFkk tfVy ;k fefJr O;oLFkk,¡ (Linear, Circular and Complex Arrangements)

8. Js.khØe vkSj vuqØe (Ranking Order & Sequence)

9. buiqV & vkmViqV (Input-Output)

10. xf.krh; lafØ;k,¡ (Mathematical Operations)

11. rkfdZd osu vkjs[k (Logical Venn Diagrams)

12. U;k; fuxeu (Syllogism)

13. rk£dd igsfy;k¡ (Logical Puzzles)

[kaM&1Hkkf"kd rdZ'kfDrVerbal reasoning

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fdlh lwpuk dks lkekU; Hkk"kk esa u fy[kdj oqQN laosQrksa osQ ekè;e ls xqIr :i esa fy[kuk gh ^dks¯Mx* dgykrk gSA lwpuk] 'kCn] v{kj] la[;k okD; ;k vU; fdlh :i esa gks ldrh gS rFkk mls cnyus osQ fy;s ,d fof'k"V iSVuZ osQ vkèkkj ij fdlh la[;k] v{kj] 'kCn ;k vU; laosQrksa dk iz;ksx fd;k tk ldrk gSA

dksfMax@dwVys[ku (Coding)

tc fdlh lkekU; vFkZiw.kZ lwpuk dks fdlh fo'ks"k fu;e osQ }kjk vFkZfoghu 'kCn] v{kj] laosQrksa ;k vU; fdlh ekè;e esa cny fn;k tkrk gS rks bl izfØ;k dks ^dks¯Mx* ;k ^owQVys[ku* dgrs gSaA

tSlsµ MOHAN = 13, 15, 8, 1, 14tgk¡ MOHAN 'kCn osQ izR;sd v{kj dks mudh vaxzs”kh o.kZekyk

dh Øe la[;k osQ }kjk n'kkZ;k x;k gS D;ksafd vaxzs”kh o.kZekyk esa M dk Øekad 13, O dk 15, H dk 8, A dk 1 rFkk N dk 14 gSA

fMdksfMax@dwVokpu (Decoding)

tc fdlh vFkZfoghu 'kCn] v{kj] laosQrksa ;k vU; dks fdlh fo'ks"k fu;e osQ }kjk iqu% vFkZiw.kZ lwpuk] 'kCn vkSj v{kj esa cnyk tkrk gS rks bl izfØ;k dks ^fMdks¯Mx* ;k ^owQVokpu* dgrs gSaA

tSlsµ 13, 15, 8, 1, 14 = MOHANtgk¡ la[;kvksa 13, 15, 8, 1, 14 ls vaxzs”kh o.kZekyk esa muosQ Øe

ij vkus okys v{kjksa }kjk vFkZiw.kZ 'kCn ‘MOHAN’ izkIr fd;k x;k gSAvHkh rd bl vè;k; esa mi;qZDr ckrksa ls ;g Li"V gS fd iz'uksa

dks gy djus esa lcls egÙoiw.kZ Hkwfedk ml fo'ks"k fu;e dh igpku djus dh gS] ftlosQ ekè;e ls ^dks¯Mx* ;k ^fMdks¯Mx* dh xbZ gksA

^dks¯Mx* ;k fMdks¯Mx osQ fy;s fu;eksa dh la[;k vlhfer gS] ftudks ;kn fd;k tkuk ,d vlaHko dk;Z gS fiQj Hkh izeq[k :i ls mi;ksxh vkSj iz'uksa dks vklkuh ls gy djus esa enn osQ fy;s fuEu ckrksa dk è;ku j[kk tk ldrk gSµ

1. vaxzs”kh o.kZekyk ds lHkh v{kjksa dh Øe la[;k

v{kj A B C D E F G H I J K L M

Øe la[;k

1 2 3 4 5 6 7 8 9 10 11 12 13

v{kj Z Y X W V U T S R Q P O N

Øe la[;k

26 25 24 23 22 21 20 19 18 17 16 15 14

vr% MOHAN = 13, 15, 8, 1, 14 dks vklkuh ls Kkr fd;k tk ldrk gSA

vaxzs”kh o.kZekyk dks ;kn j[kus osQ ljy rjhosQ 'kCn ‘EJOTY’ (bZtksVh) dks ;kn j[kdj ge lHkh v{kjksa dh

Øe la[;k Kkr dj ldrs gSaA 'kCn EJOTY osQ v{kjksa dh Øe la[;k,¡ fuEufyf[kr gksrh gS&

E J O T Y↓ ↓ ↓ ↓ ↓

5 10 15 20 25(;s 5 ds xq.kt ds :i esa gSa)

mnkgj.k% 1. vaxzs”kh o.kZekyk esa ck,¡ ls 17ok¡ v{kj dkSu&lk gS\ gy% 'kCn EJOTY (bZtksVh) ls Kkr gS fd O = 15 15 + 2 = 17 ∴ O + 2 = Q vr% vaxzs”kh o.kZekyk esa ck,¡ rjiQ ls 17ok¡ v{kj Q gksxkA 2. vaxzs”kh o.kZekyk esa R dh ck,¡ ls LFkku la[;k fdruh gS\ gy% EJOTY esa R dk fudVre v{kj O gS] ftldk gesa irk gS

fd LFkku la[;k 15 gS vFkkZr~ O + 3 = R ⇒ 15 + 3 = 18 vr% vaxzs”kh o.kZekyk esa R dh ck,¡ ls LFkku la[;k 18 gSA

vaxzs”kh o.kZekyk osQ v{kjksa dh Øe la[;k dks ;kn djus dk ,d vU; ljy rjhdk ‘CFILORUX’ ('kiQhyksjDl) gSA ;g 3 osQ xq.kt osQ :i esa gS tSls&

C F I L O R U X↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓

3 6 9 12 15 18 21 24

mnkgj.k%

1. vaxzs”kh o.kZekyk esa ck,¡ ls 23ok¡ v{kj dkSu&lk gS\ gy% ‘CFILORUX’ dh enn ls ge tkurs gSa fd% ‘X’ = 24 24 – 1 = 23 ∴ X – 1 = W

vr% vaxzs”kh o.kZekyk esa ck,¡ rjiQ ls 23ok¡ v{kj ‘W’ gksxkA 2. vaxzs”kh o.kZekyk esa K dh ck,¡ ls LFkku la[;k fdruh gS\ gy% CFILORUX esa K osQ nks LFkku igys v{kj I gS] ftldk LFkku

la[;k 9 gksrk gS vFkkZr~ I + 2 = K ⇒ 9 + 2 = 11 vr% vaxzs”kh o.kZekyk esa K dh ck,¡ ls LFkku la[;k 11 gSA

dksfMax &fMdksfMax(Coding – Decoding)1

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dksfMax&fMdksfMax jhT+kfuax

1. ;fn fdlh lkaosQfrd Hkk"kk esa 'kCn ‘STUDENT’ dks ‘TUVEFOU’ fy[kk tkrk gS rks mlh Hkk"kk esa ‘TEACHER’ dks D;k fy[kk tk,xk\

(a) REHCAET (b) UFBDIFS (c) UFDBFIS (d) ETCAEHR 2. ;fn fdlh lkaosQfrd Hkk"kk esa 'kCn ‘VERBAL’ dks ‘WFSCBM’

fy[kk tkrk gS rks mlh Hkk"kk esa ‘CHAPTER’ dks D;k fy[kk tk,xk\

(a) DIQBUFS (b) RETPAHC (c) DIBQUFS (d) DIBUQFS 3. ;fn fdlh lkaosQfrd Hkk"kk esa 'kCn ‘STABILISE’ dks

‘UVCDKNKUG’ fy[kk tkrk gS rk s mlh Hkk"kk es a ‘MONUMENT’ dks D;k fy[kk tk,xk\

(a) OQPWOGPV (b) QPOWOGPV (c) NPOVNFOU (d) buesa ls dksbZ ugha 4. ;fn fdlh lkaosQfrd Hkk"kk esa 'kCn ‘MAYOR’ dks ‘OCAQT’

fy[kk tkrk gS rks mlh lkaosQfrd Hkk"kk esa ‘GOLDEN’ dks D;k fy[kk tk,xk\

(a) IQNFGP (b) HPMEFO (c) INQFGP (d) NEDLOG 5. ;fn fdlh lkaosQfrd Hkk"kk esa ‘PLATE’ dks ‘SODWH’ fy[kk

tkrk gS rks mlh lkaosQfrd Hkk"kk esa ‘NOBLE’ dks D;k fy[kk tk,xk\

(a) OPCMF (b) QEROH (c) PQDNG (d) QREOH 6. ;fn fdlh lkaosQfrd Hkk"kk esa ‘HOUSE’ dks ‘LSYWI’ fy[kk

tkrk gS rks mlh Hkk"kk esa 'kCn ‘BOARD’ dks D;k fy[kk tk,xk\

(a) ERDUG (b) FSEVH (c) CPBSE (d) buesa ls dksbZ ugha

7. ;fn fdlh owQVHkk"kk esa ‘ORANGE’ dks ‘TWFSLJ’ fy[kk tkrk gS rks mlh owQVHkk"kk esa 'kCn ‘MANGOS’ dks D;k fy[kk tk,xk\

(a) RFRLTW (b) RFSLTX (c) SFRKTX (d) buesa ls dksbZ ugha

8. ;fn fdlh lkaosQfrd Hkk"kk esa ‘HORSE’ dks ‘HPTVI’ fy[kk tkrk gS rks mlh lkaosQfrd Hkk"kk esa ‘LIONS’ dks D;k fy[kk tk,xk\

(a) LJQQW (b) MJPOT (c) ILOSN (d) buesa ls dksbZ ugha

9. ;fn fdlh lkaosQfrd Hkk"kk esa ‘SATYAM’ dks ‘RZSXZL’ fy[kk tkrk gS rks mlh lkaosQfrd Hkk"kk esa ‘INFOSYS’ dks D;k fy[kk tk,xk\

(a) JOGPTJT (b) HMNEHRX (c) HMFNXHR (d) buesa ls dksbZ ugha

10. ;fn fdlh lkaosQfrd Hkk"kk esa ‘BHOPAL’ dks ‘AGNOZK’ fy[kk tkrk gS rks mlh lkaosQfrd Hkk"kk esa ‘JAIPUR’ dks D;k fy[kk tk,xk\

(a) IZHOTQ (b) IZHOQT

(c) KBJQVS (d) buesa ls dksbZ ugha

11. ;fn fdlh lkaosQfrd Hkk"kk esa ‘TIGER’ dks ‘RGECP’ fy[kk tkrk gS rks mlh lkaosQfrd Hkk"kk esa ‘FOREST’ dks D;k fy[kk tk,xk\

(a) ENQDRS (b) DMCPQR (c) DMPCQR (d) DMPQCR

12. ;fn fdlh lkaosQfrd Hkk"kk esa ‘WATER’ dks ‘UWRAP’ fy[kk tkrk gS rks mlh Hkk"kk esa ‘JUICE’ dks D;k fy[kk tk,xk\

(a) HSGYC (b) HQGAC (c) QHCGY (d) HQGYC

13. ;fn fdlh lkaosQfrd Hkk"kk esa ‘FRIDAY’ dks ‘COFAXV’ fy[kk tkrk gS rks mlh Hkk"kk esa ‘SUNDAY’ dks D;k fy[kk tk,xk\

(a) QQKADV (b) PRKAXV

(c) TVOEBZ (d) buesa ls dksbZ ugha

14. ;fn fdlh lkaosQfrd Hkk"kk esa ‘INPUT’ dks ‘EJLQP’ fy[kk tkrk gS rks mlh lkaosQfrd Hkk"kk esa ‘METHOD’ dks D;k fy[kk tk,xk\

(a) IAPDKA (b) JAPDKZ (c) IAPDKZ (d) IBQCKA

15. ;fn fdlh lkaosQfrd Hkk"kk esa ‘STOP’ dks ‘NOJK’ fy[kk tkrk gS rks mlh Hkk"kk esa ‘PINK’ dks D;k fy[kk tk,xk\

(a) KDIE (b) KEIF

(c) LDIF (d) buesa ls dksbZ ugha

16. ;fn fdlh lkaosQfrd Hkk"kk esa ‘ZOOLOGY‘ dks ‘ZNMIKBS’ fy[kk tkrk gS rks mlh Hkk"kk esa ‘HISTORY’ dks D;k fy[kk tk,xk\

(a) QQHHKMS (b) HHQQKMS (c) HQHQKMS (d) GHQQKMS

17. ;fn fdlh lkaosQfrd Hkk"kk esa ‘NUMBER’ dks ‘PSOZGP’ fy[kk tkrk gS rks mlh Hkk"kk esa 'kCn ‘DIGITS’ dks D;k fy[kk tk,xk\

(a) FIGIVQ (b) EGIGVQ (c) FGIGVQ (d) FGHGUR

18. ;fn fdlh lkaosQfrd Hkk"kk esa ‘MOTHER’ dks ‘OMHTRE’ fy[kk tkrk gS] rks mlh Hkk"kk esa 'kCn ‘FAVOUR’ dks D;k fy[kk tk,xk\

(a) AFWPVR (b) AFOVRU (c) RUOVAF (d) VAFRUO

vH;kl iz'u

Page 11: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

13

dksfMax&fMdksfMax jhT+kfuax

funsZ'k (iz-la-71–75): uhps izR;sd iz'u esa v{kjksa dk ,d lewg vkSj mlosQ ckn vadksa@izrhdksa osQ pkj la;kstu (a), (b), (c), (d)] fn;s x, gSaA fuEufyf[kr dks¯Mx flLVe vkSj 'krks± osQ vkèkkj ij vkidks irk yxkuk gS fd dkSu&lk la;kstu v{kj lewg dks lgh <ax ls fu:fir djrk gSA vkidks ml la;kstu osQ dksM dks vius mÙkj osQ :i esa fn[kkuk gSA

v{kj R A S J P D X E I L O N C B K

vad@izrhd dksM

4 6 # 8 b 2 $ 3 5 @ 7 1 9 p w

'krs±& 1. ;fnrhljkLojvkSjPkkSFkkO;atugSrkspkSFksrÙodksnwljsrÙoosQdksMlsdksMdjukgSA

2. ;fnigykvkSjik¡pok¡rÙonksuksaghLojgSarksbunksuksaosQdksMijLijcnynsusgSaA

3. ;fnv{kjksaosQlewgesadksbZLojughagSrksigysvkSjvafrerÙoosQdksMijLijcnynsusgSaA

71.‘RXISCN’dkdksMD;kgksxk\ (a) 4$$519 (b) 4$$951 (c) $45$91 (d) 4$5$91

72.‘EPBCOK’dkdksMD;kgksxk\ (a) 7pb39w (b) 7bp93w

(c) 7bp3w9 (d) buesalsdksbZugha

73.‘JDRALS’dkdksMD;kgksxk\ (a) 8@426# (b) 8462#@ (c) 8246@# (d) 8642@#

74.‘JRXPDB’dkdksMD;kgksxk\ (a) p4$b28 (b) 84$b2p (c) p4b$28 (d) p4b$28

75.‘ORNKEL’dkdksMD;kgksxk\ (a) 741w3@ (b) 34$w3@ (c) @3417w (d) 341w7@

funsZ'k (iz-la-76–78): uhps nks vkO;wg (MATRIX) fn;s gSa] ftuesa ls izR;sd esa 25 dks"Bd vkSj nks izdkj dh v{kjekyk nh xbZ gSA vkO;wg I osQ LraHkksa ,oa iafDr;ksa dks 0 ls 4 Øekafdr fd;k x;k gS vkSj vkO;wg II esa 5 ls 9 roaQ bu vkO;wgksa dk dksbZ v{kj igys bldh iafDr la[;k vkSj fiQj bldh LraHk la[;k }kjk iznf'kZr fd;k tk ldrk gS] ;Fkk] 'A' dks 01 rFkk 41 vkfn ls iznf'kZr dj ldrs gSaA blh rjg R dks 59, 78 vkfn }kjk iznf'kZr dj ldrs gSaA fuEukafdr izR;sd iz'u esa la[;kvksa osQ ,d tksM+s dh igpku (a), (b), (c) vkSj (d) esa ls djsa] tks fd fn;s gq, 'kCn dks iznf'kZr djrk gSA

vkO;wg–I vkO;wg–II0 1 2 3 4 5 6 7 8 9

0 E A C S E 5 P V T M R1 J D E G I 6 K R O Z X2 G F S A B 7 W P Y R T3 S C H J D 8 N Z M W V4 B A G I S 9 L X P T O

76. ‘F R A N K’ (a) 21, 66, 01, 85, 56 (b) 04, 66, 10, 58, 65 (c) 04, 78, 01, 58, 66 (d) 21, 78, 41, 85, 65 77. ‘G V R X’ (a) 24, 56, 87, 96 (b) 42, 56, 78, 69 (c) 13, 65, 78, 69 (d) 31, 56, 87, 96 78. ‘S T E M’ (a) 22, 57, 21, 85 (b) 22, 57, 21, 58 (c) 03, 57, 12, 87 (d) 22, 79, 41, 58 79.uhpsfn;sx,xq.kkosQiz'uesa'PQ' vkSj'QP' izR;sdv{kj,d

vyxla[;kdkizfrfufèkRodjrkgS‘T'dkekuKkrdjsaAP Q

× Q PQ R

S P Q RS T R R

(a) 5 (b) 4 (c) 3 (d) 2 80.mijksDriz'uesaPdkekuKkrdjsaA (a) 5 (b) 4 (c) 3 (d) 2 81.mijksDriz'u(79)esaRdkekuKkrdjsaA (a) 0 (b) 5 (c) 3 (d) 4 82.fdlhoaQiuhdkoaQI;wVjdh&cksMZvfrfof'k"VgSAtcdHkh

dksbZ,dv{kjVkbidjukgksrksmlv{kjlsBhdigykv{kjLØhuijvktkrkgSvkSjtcdHkhdksbZla[;kVkbidjukgksrksmldhBhdvxyhokyhla[;kLØhuijvkrhgS]tcfd‘Z’vkSj‘0’('kwU;)BhdrjhosQlsdkedjrsgSaAvc ;fn ge LØhu ij ‘Z200PQRW20’ ns[krs gSa rcfuEufyf[kresalsfdUgsaVkbifd;kx;kFkk\

(a) W312 ORQV32 (b) Z302OPQV32 (c) W120RQV32 (d) buesalsdksbZugha

mÙkjekyk 1. (b) 2. (c) 3. (a) 4. (a) 5. (d) 6. (b) 7. (b) 8. (a) 9. (d) 10. (a) 11. (c) 12. (d) 13. (b) 14. (c) 15. (d) 16. (b) 17. (c) 18. (b) 19. (a) 20. (c) 21. (a) 22. (b) 23. (d) 24. (c) 25. (d) 26. (a) 27. (d) 28. (b) 29. (c) 30. (a) 31. (d) 32. (b) 33. (a) 34. (b) 35 (d) 36. (b) 37. (c) 38. (a) 39. (b) 40. (d) 41. (b) 42. (c) 43. (c) 44. (a) 45. (a) 46. (d) 47. (b) 48. (b) 49. (a) 50. (d) 51. (b) 52. (c) 53. (c) 54. (d) 55. (b) 56. (c) 57. (c) 58. (d) 59. (b) 60. (a) 61. (b) 62. (c) 63. (c) 64. (c) 65. (a) 66. (b) 67. (a) 68. (c) 69. (d) 70. (b) 71. (d) 72. (b) 73. (c) 74. (a) 75. (d) 76. (d) 77. (b) 78. (c) 79. (c) 80. (d) 81. (a) 82. (d)

Page 12: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

14

dksfMax&fMdksfMaxn`fÔ ifCydsÓkUl

1. 19S 20T→20T 21U21U 22V4D 5E5E 6F14N 15O20T 21U+1+1+1+1+1+1+1

;gk¡ ge ns[krs gSa fd ‘STUDENT’ 'kCn osQ v{kjksa dks Øe'k% + 1, + 1, + 1.........osQ Øe ls c<+kdj ‘TUVEFOU’ osQ :i esa laosQrc¼ fd;k x;k gSA blh izdkj]

20T 21U→5E 6F1A 2B3C 4D8H 9I5E 6F18R 19S+1+1+1+1+1+1+1

vr% TEACHER dks UFBDIFS fy[kk tk,xkA 2. 22V 23W5E 6F18R 19S2B 3C1A 2B12L → 13M

+1+1+1+1+1+1

;gk¡ ge ns[k jgs gaS fd 'VERBAL' 'kCn osQ v{kjksa dks vaxzs”kh o.kZekyk esa viuh Øekad la[;k ls Øe'k% +1, +1...osQ Øe ls c<+kdj 'WFSCBM' osQ :i esa laosQrc¼ fd;k x;k gSA blh izdkj]

3C 21U→8H 17Q1A 2B16P 4D20T 9I5E 6F18R 19S+1+1+1+1+1+1+1

vr% CHAPTER dks ‘DIBQUFS’ fy[kk tk,xkA 3. 19S 20T 1A 2B 9I 12L 9I 19S 5E → 21U 22V 3C 4D 11K 14N 11K 21U 7G

+2+2+2+2+2+2+2+2+2

;gk¡ ge ns[k jgs gSa fd 'STABILISE' 'kCn osQ v{kjksa dks mudh vaxsz”kh o.kZekyk esa Øekad la[;k ls Øe'k% + 2, + 2, + 2.... c<+kdj fy[kk x;k gS] ftlls ‘UVCDKNKUG’ izkIr gqvk gSA blh izdkj]

+2+2+2+2+2+2+2+2

13M 15O 14N 21U 13M 5E 14N 20T → 15O 17Q 16P 23W 15O 7G 16P 22V

vr% MONUMENT dks OQPWOGPV fy[kk tk,xkA 4. 13M 1A 25Y 15O 18R → 15O 3C 1A 17Q 20T

+2+2+2+2+2

;gk¡ ge ns[k jgs gSa fd MAYOR 'kCn osQ v{kjksa dks vaxzs”kh o.kZekyk esa viuh Øekad la[;k ls Øe'k% + 2, + 2, + 2.... osQ Øe ls c<+kdj OCAQT esa laosQrc¼ fd;k x;k gSA ;gk¡ è;ku nsus ;ksX; ckr ;g gS fd v{kj ‘Y’ ftldk Øekad 25 esa + 2 djus ij o.kZekyk osQ oqQy 26 Øekad iwjs gksus ij iqu% 'kq: ls fxurh 'kq: gksxhA

blh izdkj]

7G 15O 12L 4D 5E 14N → 9I 17Q 14N 6F 7G 16P+2+2+2+2+2+2

vr% ‘GOLDEN’ dks ‘IQNFGP’ fy[kk tk,xkA 5. 16P 12L 1A 20T 5E → 19S 15O 4D 23W 8H

+3+3+3+3+3

;gk¡ 'kCn ‘PLATE’ osQ v{kjksa dks mudh o.kZekyk dh Øekad la[;k esa Øe'k% + 3, + 3, + 3...... tksM+dj 'kCn SODWH izkIr fd;k x;k gSA

blh izdkj]

14N 15O 2B 12L 5E → 17Q 18R 5E 15O 8H+3+3+3+3+3

vr% NOBLE dks QREOH fy[kk tk,xkA 6. 8H 15O 21U 19S 5E → 12L 19S 25Y 23W 9I

+4+4+4+4+4

;gk¡ ge ns[k jgs gSa fd ‘HOUSE’ 'kCn osQ v{kjksa dks Øe'k% + 4, + 4, + 4 osQ Øe ls c<+kdj ‘LSYWI’ osQ :i esa dksM fd;k x;k gSA blh izdkj]

2B 15O 1A 18R 4D → 6F 19S 5E 22V 8H+4+4+4+4+4

vr% BOARD dks FSEVH fy[kk tk,xkA

O;k[;k

Page 13: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

23

dksfMax&fMdksfMax jhT+kfuax

fofHkUu ijh{kkvksa esa iwNs x, iz'u

1. ;fn‘HOUSE’dks‘FQSUC’fy[kktkrkgSrks‘CHAIR’ dksoSQlsfy[kldrsgSa\ SSC - CGL, 2016

(1) DIBJS (2) SBJID (3) SHBGD (4) AJYKP 2. ;fnfdlhdksMesa‘GOODNESS’ dks‘HNPCODTR’fy[kk

tkrk gS rks ml dksM esa ‘GREATNESS’ dks oSQls fy[kktk,xk\ SSC - CGL, 2016

(1) HQZFBMFRT (2) HPFZUMERT (3) HQEZUMFRT (4) HQFZUMFRT 3. ;fndksMesa‘GO HOME’dks‘TA NA’ vkSj‘NICE LITTLE

HOME’ dks‘NA JA PA’fy[kktkrkgSrksmlhdksMesa‘GO’dksoSQlsfy[kktk,xk\ SSC - CGL, 2016

(1) TA (2) NA (3) JA (4) NA OR TA 4. ;fnfdlhdksMesa‘AMOUNT’dks‘BNPTMS’fy[krsgSa

rksmlhdksMesa‘AROUNT’ dksD;kfy[ksaxs\ SSC - CGL, 2016

(1) BSPUNT (2) BSUPTN (3) BSPTMS (4) ZSPVOE 5. ;fn‘DECEMBER’dks‘EDECBMRE’fy[kktkrkgS]rks

mlhdksMesa‘FEBRUARY’ dksoSQlsfy[kktk,xk\ SSC - CGL, 2016 (1) EFRBUAYR (2) EFBRAUYR (3) EFRBUARY (4) EFRBAUYR 6.fuEufyf[kriz'uksaesafodYiksaesafn;sx,la[;klewg,oav{kjksa

dksnksoxks±}kjkn'kkZ;kx;kgSAtSlkfduhps fn;sx,nksvkO;wgksaesan'kkZ;kx;kgSAvkO;wg&IosQLraHkvkSjiafDrdhla[;k0ls4rdnhxbZgSvkSjvkO;wg&IIosQ5ls9roQbuvkO;wgksals,dv{kjdksigysmldhiafDrvkSjcknesaLraHkla[;k}kjkn'kkZ;ktkldrkgSA

mnkgj.kosQfy;s‘S’dks02, 11vkfn}kjkn'kkZ;ktkldrkgSrFkkLdks65, 86vkfn}kjkn'kkZ;ktkldrkgSAblhrjglsvkidksfn;s'kCn‘GATE’osQfy;slewgesaigpkuukgSA SSC - CGL, 2016

vkO;wg&I vkO;wg&II0 1 2 3 4 5 6 7 8 9

0 D T S G N 5 A E L K I1 T S G N O 6 L K I A E2 S G N D T 7 K I A E L

3 G N D T S 8 E L K I A4 N D T S G 9 I A E L K

(1) 30, 89, 11, 57 (2) 21, 68, 34, 78 (3) 21, 96, 24, 78 (4) 12, 89, 42, 68 7.,d'kCnosQoy,dla[;k&lewg}kjkn'kkZ;kx;kgS]tSlkfd

fodYiksaesalsfdlh,desafn;kx;kgSAfodYiksaesafn;sx,

la[;k&lewgv{kjksaosQnksoxks±}kjkn'kkZ,x,gSa]tSlkfduhpsfn;sx,nksvkO;wgksaesagSAvkO;wg&IosQLraHkvkSjiafDrdhla[;k0ls4esanhxbZgSvkSjvkO;wg&IIdh5ls9 esaAbuvkO;wgksals,dv{kjdksigysmldhiafDrvkSjcknesaLraHkla[;k}kjkn'kkZ;ktkldrkgSAmnkgj.kosQfy;s‘R’dks13, 22vkfn}kjkn'kkZ;ktkldrkgSrFkk‘B’dks67, 76vkfn}kjkn'kkZ;ktkldrkgSAblhrjglsvkidksiz'uesafn;sx,'kCnSHRIosQfy;slewgdksigpkuukgSA

SSC - CGL, 2012

vkO;wg&I vkO;wg&II0 1 2 3 4 5 6 7 8 9

0 R H E L I 5 B S N A D1 I E L R H 6 D N B S A2 H L R I E 7 A B D N S3 E R I H L 8 S D A B N4 L I H E` R 9 N A S D B

(1) 58, 02, 13, 01 (2) 85, 42, 31, 14 (3) 68, 20, 13, 32 (4) 85, 02, 44, 30 8. ;fn‘CLOCK’dksowQVHkk"kkesa‘34235’fy[kktk,vkSj

‘TIME’ dks‘8679’fy[kktk,rks‘MOLEK’dksoSQlsfy[kktk,xk\ SSC - CPO, 2006

(1) 62495 (2) 62945 (3) 72495 (4) 72945 9. ,d'kCnosQoy,dla[;k&lewg}kjkn'kkZ;kx;kgS]tSlkfd

fodYiksaesalsfdlh,desafn;kx;kgSAfodYiksaesafn;sx,la[;k&lewgv{kjksaosQnksoxks±}kjkn'kkZ,x,gSa]tSlkfduhpsfn;sx,nksvkO;wgksaesagSAvkO;wg&IosQLraHkvkSjiafDrdhla[;k0ls4esanhxbZgSvkSjvkO;wg&IIdh5ls9 esaAbuvkO;wgksals,dv{kjdksigysmldhiafDrvkSjcknesaLraHkla[;k}kjkn'kkZ;ktkldrkgSAmnkgj.kosQfy;s1dks23, 32vkfn}kjkn'kkZ;ktkldrkgSrFkkAdks56, 65vkfn}kjkn'kkZ;ktkldrkgSAblhrjglsvkidksiz'uesafn;s'kCnRIMosQfy;slewgdksigpkuukgSA SSC - CHSL, 2015

vkO;wg&I vkO;wg&II0 1 2 3 4 5 6 7 8 9

0 I M W S Q 5 O A R D N1 M W S Q I 6 A R D N O2 W S Q I M 7 R D N O A3 S Q I M W 8 D N O A R4 I M W S 9 9 N O A R D

(1) 58, 43, 34 (2) 75, 14, 24 (3) 76, 41, 34 (4) 58, 43, 11

Page 14: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

28

la[;k rFkk v{kj Ük`a[kyk(Numbers and Letters Series)2

bl vè;k; osQ varxZr oqQN vadksa@la[;kvksa ;k v{kjksa osQ lewgksa dh ,d Ük`a[kyk nh xbZ gSA ;g Ük`a[kyk fdlh fuf'pr izfr:i (Pattern) ij vkèkkfjr gksrh gS] ftlesa vxys in ;k fdlh yqIr in dks Kkr djuk gksrk gS] tks fd mlh iSVuZ ij vkèkkfjr gksrk gS] ftl iSVuZ ij Ük`a[kyk osQ vU; in vkèkkfjr gaSA

Ük`a[kyk vkèkkfjr iz'uksa dk eq[; mís'; fo|kFkhZ dh rs”kh ls x.kuk djus dh {kerk dk ijh{k.k djuk rFkk fofHkUu v{kjksa osQ chp lacaèkksa dk fuèkkZj.k djus dh rhozrk dh tk¡p djuk gksrk gSA Ük`a[kyk vkèkkfjr iz'uksa dks fuEufyf[kr oxks± esa foHkkftr fd;k tk ldrk gSA 1- vad@la[;k Ük`a[kyk 2- v{kj Ük`a[kyk 3- fofoèk@fefJr Ük`a[kyk

oxZ&1: vad@la[;k Ük`a[kyk (Number Series)

vad@la[;k Ük`a[kyk esa iwNs tkus okys iz'uksa esa vadksa dh ,d Ük`a[kyk nh tkrh gS] ftlesa fofHkUUk xf.krh; lafØ;k,¡ (operations) varfuZfgr gksrh gSaA bu lafØ;kvksa esa tksM+] ?kVko] xq.kk] Hkkx] oxZ] oxZewy] ?ku] ?kuewy vkfn 'kkfey gks ldrs gSaA Ük`a[kyk esa dksbZ ,d in yqIr gksrk gS vkSj og in dkSu&lk gS] ;g fo|kFkhZ dks fn;s x, fodYiksa esa ls Kkr djuk gksrk gSA tSls& 1. 1, 4, 9, 16, 25, 36 Ük`a[kyk Øekxr izkÑr la[;kvksa osQ oxks± dks n'kkZrh gSA 2. 2, 3, 5, 7, 11, 13, 17, 19 Ük`a[kyk 2 ls 'kq: gksdj Øekxr vHkkT; la[;kvksa dks fn[kk

jgh gSAfdlh nh xbZ Ük`a[kyk esa yqIr in Kkr djus osQ fy;s igys gesa

ml fu;e dks igpkuuk gksrk gS] ftl ij Ük`a[kyk vkèkkfjr gksrh gSA ml fu;e dks igpkuus esa fuEufyf[kr fcanq lgk;d gks ldrs gSa&zz ;fn Ük`a[kyk osQ vad ;k la[;k,¡ lkèkkj.k nj ls c<+ jgh gSa rks ;g tksM+ ij vkèkkfjr Ük`a[kyk gksrh gSA

zz ;fn Ük`a[kyk osQ vad ;k la[;k,¡ lkèkkj.k nj ls ?kV jgh gSa rks ;g ?kVko ij vkèkkfjr Ük`a[kyk gksrh gSA

zz ;fn Ük`a[kyk osQ vad dkiQh rhozrk ls c<+ jgs gSa rks fuf'pr :i ls xq.kk dk dk;Z gks jgk gSA (;k oxZ ;k dksbZ Hkh èkukRed ?kkr) blosQ vykok lkFk esa tksM+ ;k ?kVko Hkh gks ldrk gSA

zz ;fn Ük`a[kyk osQ vad dkiQh rhozrk ls ?kV jgs gSa rks ;gk¡ Hkkx dk dk;Z gks ldrk gSA blosQ lkFk ?kVko dk dk;Z Hkh gks ldrk gSA

zz ;fn Ük`a[kyk rhozrk osQ lkFk igys c<+rh gks rFkk ckn esa ?kVrh gks] rks ogk¡ Øe'k% xq.kk rFkk Hkkx dh fØ;k dh tk jgh gSA

zz ;fn Ük`a[kyk esa vadksa dk eku igys c<+s fiQj ?kVs] ysfdu de varj ls rks ogk¡ tksM+ rFkk ?kVko dk dk;Z cny&cny dj py jgk gks ldrk gSA

fofHkUu izfr;ksxh ijh{kkvksa esa vad@la[;k Ük`a[kyk esa dbZ izdkj osQ iz'u iwNs tkrs gSa] ftUgsa le>us osQ fy;s iz'uksa dks fuEufyf[kr izdkjksa esa foHkkftr dj ldrs gSaA

izdkj&1:fdlhÜk`a[kykdksiwjkdjuk

bl izdkj osQ iz'uksa esa Ük`a[kyk esa ,d in dks fjDr NksM+ fn;k tkrk gS ;k iz'uokpd fpÉ (?) ls fu:fir dj fn;k tkrk gS fiQj gesa fjDr in ;k iz'uokpd fpÉ ls fu:fir in osQ LFkku ij mfpr fodYi dk p;u djus dks dgk tkrk gSA

mnkgj.k%

1. nh xbZ vadksa@la[;kvksa dh Ük`a[kyk esa iz'uokpd fpÉ (?) osQ LFkku ij dkSu&lh la[;k vk,xh\

1, 5, 10, 16, 23, 31, ? (a) 50 (b) 38 (c) 40 (d) 32

gy% nh xbZ vad Ük`a[kyk dk è;ku ls voyksdu djus ij Kkr gksrk gS fd Ük`a[kyk Øe'k% +4, +5, +6, +7, +8, +9 ....... osQ Øe esa c<+ jgh gS] ftls fuEu izdkj ls vklkuh ls le>k tk ldrk gSA

1 5 10 16 23 31

+4 +5 +6 +7 +8 +9

40

vr% iz'uokpd fPkÉ osQ LFkku ij vkus okyh mfpr la[;k ‘40’ gksxhA

2. fuEufyf[kr vad Ük`a[kyk esa iz'uokpd fpÉ (?) osQ LFkku ij dkSu&lh la[;k vk,xh\

4, 5, 9, 18, 34, ? (a) 43 (b) 49 (c) 53 (d) 59

gy% nh xbZ Ük`a[kyk dk è;kuiwoZd voyksdu djus ij ge ikrs gSa fd Ük`a[kyk izkÑr la[;kvksa osQ oxZ dks tksM+dj cukbZ xbZ gS] tks fuEufyf[kr gSa&

4 5 9 18 34 59

+12 +22 +32 +42 +52

vr% iz'uokpd fpÉ osQ LFkku ij vkus okyh mi;qDr la[;k ‘59’ gksxhA

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lkn`';rk ijh{k.k

lkn`';rk ls rkRi;Z gS&lekurk ;k le:irkA bl ijh{k.k dk mís';] fn;s x, rÙoksa@lewgksa osQ chp lekurk dks igpkuuk vFkok iznÙk rÙoksa vFkok lewgksa osQ chp varfuZfgr lacaèkksa dks le>uk ,oa fo'ys"k.k djuk gksrk gSA

lkn`';rk ls lacafèkr iz'uksa esa fofHkUu rÙoksa] oLrqvksa] ?kVukvksa] fØ;kvksa vkfn osQ chp lacaèkksa dks le>us dh ;ksX;rk dk ijh{k.k fd;k tkrk gSA blls lacafèkr iz'uksa dks gy djus esa fuEufyf[kr nks dk;Z djus gksrs gSaµ 1.iz'u esa fn;s x, nks 'kCnksa@v{kj lewgksa@la[;kvksa osQ chp osQ

lacaèk dks igpkuuk rFkkµ 2.fn;s x, rhljs 'kCn@v{kj lewg@la[;k osQ lkFk fo'ks"k lacaèk dks

ykxw dj lgh fodYi dks pquukAlkn`';rk ls lacafèkr dbZ izdkj osQ iz'u fofHkUu ijh{kkvksa esa iwNs

tkrs gSaA bldks vklkuh ls le>us osQ fy;s bl vè;k; esa fofHkUu izdkj osQ iz'uksa dk vyx&vyx oxZ esa foHkktu fd;k x;k gS] tks fuEukafdr gS &

izdkj&1:'kCnle:irklslacafèkrbl izdkj osQ iz'uksa esa nks 'kCn tks vkil esa fdlh izdkj lacafèkr

gksrs gSa vkSj fiQj ,d rhljk 'kCn vkSj oqQN fodYi fn;s jgrs gSa] gesa mu oSdfYid mÙkjksa esa ls ,d ,slk oSdfYid mÙkj pquuk gksrk gS] tks rhljs 'kCn ls ogh lacaèk j[krk gS] tks igys vkSj nwljs 'kCnksa esa gksrk gSA

ek=kd ,oa bdkbZ ls lacafèkr iz'u %

1. cy % U;wVu %% dk;Z % ? (a) ikLdy (b) vkse (c) twy (d) okVgy% ftl izdkj cy dk ek=kd U;wVu gksrk gSS] mlh izdkj dk;Z dk

ek=kd twy gksrk gSA 2. nkc % ikLdy %% 'kfDr % ? (a) okV (b) U;wVu (c) twy (d) buesa ls dksbZ ughagy%ftl izdkj nkc dk ek=kd ikLdy gksrk gS] mlh izdkj 'kfDr

dk ek=kd okV gksrk gSA

leku 'kCnksa ls lacafèkr iz'u %

1.vtuch % vifjfpr %% vucu % ? (a) >xM+k (b) [kViV (c) izfr}a} (d) buesa ls dksbZ ughagy% ftl izdkj vtuch dk lekukFkhZ 'kCn vifjfpr gS] mlh izdkj

vucu dk lekukFkhZ 'kCn [kViV gSA

2.ve`r % eèkq %% vuqeku % ? (a) vVdy (b) bPNk (c) dM+ok (d) fuf'prgy% ftl izdkj ve`r dk lekukFkhZ eèkq gS] mlh izdkj vuqeku dk

lekukFkhZ vVdy gSA

foijhrkFkZd 'kCn ls lacafèkr iz'u %

1.'kkafr % v'kkafr %% mYykl % ? (a) g"kZ (b) izlUurk (c) fo"kkn (d) u`R;gy% ftl izdkj 'kkafr dk foijhr v'kkafr gS] mlh izdkj mYykl

dk foijhr fo"kkn gSA

2.laU;klh % x`gLFk %% vieku % ? (a) csb””kr (b) 'keZ (c) izfr"Bk (d) lEekugy% ftl izdkj laU;klh dk foijhr x`gLFk gS] mlh izdkj vieku

dk foijhr lEeku gSA

tkuoj@oLrq rFkk muds j[kus ds LFkku ls lacafèkr iz'u %

1.tkuoj % fpfM+;k?kj %% dkj % ? (a) lM+d (b) ?kj (c) ikdZ (d) xSjstgy% ftl izdkj tkuoj dks fpfM+;k?kj esa j[kk tkrk gS] mlh izdkj

dkj dks xSjst esa j[kk tkrk gSA

2.diM+s % vyekjh %% fpfM+;k % ? (a) isM+ (b) fpfM+;k[kkuk (c) ?kj (d) buesa ls dksbZ ugha

gy% ftl izdkj diM+s dks vyekjh esa j[kk tkrk gS mlh izdkj fpfM+;k dks fpfM+;k[kkuk esa j[kk tkrk gSA

HkkSfrd jkf'k rFkk mlds ekid ;a=k ls lacafèkr iz'u %

1. FkekZehVj % rkieku %% vkehVj % ? (a) fo|qrèkkjk (b) 'kfDr (c) foHkokarj (d) buesa ls dksbZ ugha

gy% ftl izdkj FkekZehVj ls rkieku dks ekik tkrk gS] mlh izdkj vkehVj ls fo|qr èkkjk dks ekik tkrk gSA

2.XywdksehVj % jDr 'kdZjk %% gkbxzksehVj % ? (a) rkieku (b) lkanzrk (c) vknzZrk (d) buesa ls dksbZ ugha

lkn`';rk ijh{k.k(Analogy Test)3

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oxhZdj.k dk vFkZ gksrk gSµ ^fotkrh; ijh{k.k*A bl ijh{k.k dk mís';] fn;s x, lewg] Js.kh ;k oxks± osQ rÙoksa dks lkekU; lacaèkksa osQ vkèkkj ij lewgc¼ djuk rFkk cps gq, 'kCnksa] v{kjksa ;k vadksa dks vyx djuk gksrk gSA blosQ varxZr vaxzs”kh o.kZekyk] oLrqvksa osQ lacaèk ,oa leku xq.kksa okyh la[;k ij vkèkkfjr iz'u iwNs tkrs gSaA bl çdkj osQ iz'uksa dks vklkuh ls le>us osQ fy;s] ;gk¡ Hkh fofHkUu izdkj osQ iz'uksa dk vyx&vyx laxzg fd;k x;k gS] tks fuEukafdr gSaA

mnkgj.k %funsZ'k (iz-la- 1–15): uhps fn;s x, izR;sd iz'u esa pkj fodYi

fn;s x, gSa] ftuesa ls rhu ,d leku gSa] tcfd pkSFkk rhuksa ls fHkUu gSA fHkUu fodYi dks pqfu;sA 1-(a) vke (b) ukjaxh (c) ekSleh (d) v[kjksV gy% (d) v[kjksV lw[kk iQy gS] tcfd vU; lHkh jlnkj iQy gSaA 2- (a) iQwyxksHkh (b) yhph (c) ijoy (d) cSaxugy% (b) yhph iQy gS] tcfd vU; lHkh lfC”k;k¡ gSaA 3-(a) ikyd (b) cFkqvk (c) esFkh (d) eVjgy% (d) Hkkstu osQ :i esa eVj osQ cht dk tcfd vU; dh ifÙk;ksa

dk mi;ksx fd;k tkrk gSA 4- (a) xsgw¡ (b) puk (c) pkoy (d) tkS gy% (c) pkoy [kjhiQ iQly osQ varxZr vkrk gS] tcfd vU; rhuksa

jch iQly osQ varxZr vkrs gSaA 5- (a) HksfM+;k (b) 'ksj (c) ck?k (d) phrk gy%(a) HksfM+;k] oqQÙkk oxZ osQ varxZr vkrk gS] tcfd vU; lHkh

fcYyh oxZ osQ varxZr vkrs gSaA 6- (a) xk; (b) ?kksM+k (c) phrk (d) oqQÙkk gy% (c) phrk taxyh tkuoj gS] tcfd vU; lHkh ikyrw tkuoj gSaA 7- (a) cÙk[k (b) rksrk (c) dcwrj (d) eSukgy% (a) cÙk[k ikuh esa rSj ldrh gS] tcfd vU; lHkh i{kh ikuh

esa ugha rSj ldrsA 8- (a) tuojh (b) twu (c) vxLr (d) ekpZ

gy% (b) twu dk eghuk 30 fnu dk gksrk gS] tcfd vU; rhuksa eghus 31 fnu osQ gksrs gSaA

9- (a) iVuk (b) y[kuÅ (c) ubZ fnYyh (d) Hkksiky gy% (c) ubZ fnYyh ns'k dh jktèkkuh rFkk osaQnz 'kkflr izns'k gS] tcfd

vU; lHkh jkT;ksa dh jktèkkfu;k¡ gSaA 10- (a) mTtSu (b) vgenkckn (c) vkxjk (d) Hkksiky gy% (a) mTtSu ,d èkkfeZd rhFkZLFky gS] tcfd vU; lHkh izeq[k

'kgjksa osQ uke gSaA 11- (a) vyhx<+ (b) eukyh (c) vgenkckn (d) te'ksniqj gy% (b) ;gk¡ eukyh ioZrh; i;ZVu LFky gS] tcfd vU; lHkh

vkS|ksfxd uxj gSaA 12- (a) eaxy (b) panzek (c) 'kqØ (d) 'kfu gy% (b) panzek ,d mixzg gS] tcfd vU; lHkh xzg gSaA 13- (a) czksehu (b) rk¡ck (c) vk;ksMhu (d) lksfM;e gy% (b) rk¡ck ,d èkkrq gS] tcfd vU; lHkh vèkkrq gSaA 14- (a) thHk (b) xnZu (c) ?kqVuk (d) dku gy% (c) ?kqVuk dej osQ uhps dk Hkkx gS] tcfd vU; lHkh dej

osQ Åij osQ Hkkx gSaA 15- (a) iQsiQM+k (b) vXU;k'k; (c) xqnkZ (d) ukdgy%(d) ukd 'kjhj dk cká vax gS] tcfd vU; lHkh 'kjhj osQ

vkarfjd vax gSaAfunsZ'k (iz-la- 16–17): uhps fn;s x, iz'uksa esa pkj fodYi fn;s x,

gSa] ftuesa ls rhu ,d leku gSa] tcfd pkSFkk fHkUu gS] fHkUu fodYi dks pqfu;sA 16- (a) 15 (b) 17 (c) 25 (d) 29 gy% (c) 25 ,d iw.kZ oxZ la[;k gS] tcfd vU; iw.kZ oxZ la[;k

ugha gSaA 17- (a) 12 (b) 22 (c) 21 (d) 29 gy% (d) 29 ,d vHkkT; la[;k gS tcfd vU; lHkh HkkT; la[;k,¡ gSaA

oxhZdj.k(Classifications)4

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^jDr&lacaèk* ;g vè;k; ifjokj] oa'k ls tqM+k gqvk gSA jDr&lacaèk fdlh Hkh izfr;ksfxrk ijh{kk osQ fy;s vR;fèkd egÙoiw.kZ gS pkgs og SSC, BANK, UPSC (CSAT) vkSj RAILWAY dh ijh{kk gks ;k vU; jkT;Lrjh; ijh{kkA bl vè;k; ls tqM+s iz'u yxHkx gj rjg dh ijh{kk esa u fliQZ iwNs tkrs gSa cfYd buesa Ldksj djuk Hkh cgqr vklku gksrk gSA

bl vè;k; esa ge oa'k&Øe (Family Tree), fofHkUu jDr&lacaèk tks ekrk dh rjiQ (Maternal Side) ls vkSj firk dh rjiQ (Paternal Side) ls tqMs+ gq, gSa] mudks rFkk mu ij vkèkkfjr iz'uksa ,oa muosQ mÙkj dks O;k[;k lfgr tkusaxsA

ge bl vè;k; esa fpÉksa dk lgh iz;ksx crk,axs] tks dkiQh ljy :i esa gSa vkSj ftls vklkuh ls le>k tk ldrk gS] rkfd bu fpÉksa dk iz;ksx dj ge Hkk"kk fy[kus esa tks le; O;FkZ djrs gSa] mls Hkh cpk losaQ rFkk de le; esa lVhd mÙkj ns ik,¡A

zz ‘+’ dk fpÉ iq#"k (Male) dks n'kkZrk gSAzz ‘–’ dk fpÉ L=kh (Female) dks n'kkZrk gSAzz ‘—’ dk fpÉ HkkbZ&cgu] HkkbZ&HkkbZ] cgu&cgu ;k cgu&HkkbZ dks n'kkZrk gSAzz ‘’ dk fpÉ ih<+h ifjorZu dks n'kkZrk gS] ftlesa mQij okyk ekrk&firk rFkk uhps okyk mldh larku dks n'kkZrk gSA

zz ‘ ’ dk fpÉ Hkh ekrk&firk rFkk larku dks n'kkZrk gS] ijarq bldk vFkZ ekrk&firk dh 2 larkusa gSaAzz ‘↔’ dk fpÉ ifr&iRuh osQ lacaèk dks n'kkZrk gSA

laosQr osQ :i esaP+

R+

T– V+

S–

U– W–X–

Q–

Hkk"kk osQ :i esa%

P rFkk Q ifr&iRuh (↔) gSa] ftuesa P ifr (+) rFkk Q iRuh (–) gSA mlosQ ckn dh ih<+h esa R rFkk S nks larkusa ( ) gSaA R iq=k (+) rFkk S iq=kh (–) gSA bl izdkj R rFkk S HkkbZ&cgu (—) gSaA R dh nks larkusa T rFkk U ( ) gSa] ftlesa T rFkk U nksuksa cgusa (–) gaS] vc S dh rhu larkusa V, X rFkk W ( ) gSa] ftlesa V iq=k (+) rFkk X ,oa W iqf=k;k¡ (–) gSaA V, X rFkk W vkil esa HkkbZ&cgu gSaA

fu"d"kZ%zz P, T rFkk U osQ nknk (firk osQ firk) gaSAzz Q, T rFkk U dh nknh (firk dh ek¡) gSaAzz P (V, X,W) osQ ukuk (ek¡ osQ firk) gSaAzz Q (V, X, W) dh ukuh (ek¡ dh ek¡) gSaAzz R (V, X, W) osQ ekek (ek¡ osQ HkkbZ) gSaAzz S (T rFkk U) dh cqvk (firk dh cgu) gSaAzz (T, U) (V, X, W) dh eesjh cgusa (d”ku) gSaAzz (V, X, W) (T, U) osQ iQqiQsjs HkkbZ&cgu (d”ku) gSaAzz S osQ ifr (T rFkk U) osQ iwQiQk th gSaAzz R dh iRuh (V, X,W) dh ekeh gSa bR;kfnA

oqQN 'kCnksa dks fganh esa vyx&vyx] ijarq vaxzs”kh esa ,d gh cksyk tkrk gS tSls& dtu] vady] vkaV---------bR;kfnA

d”ku → ppsjk@eesjk@iqQiQsjk@ekSlsjk HkkbZ ;k cgu flLVj&bu&ykW → uun] HkkHkh] lkyh] lygt] nsojkuh] tsBkuh] cznj&bu&ykW → nsoj] tsB] lkyk] lk<w iQknj&bu&ykW → llqjenj&bu&ykW → lkllu&bu&ykW → nkeknMkWVj&bu&ykW → cgw@iq=koèkw ;k ikS=koèkwusÝ;w → Hkrhtk ;k Hkkatkuhl → Hkrhth ;k Hkkathvady → ekSlk] iwQiQk] rkmQ] dkdk@pkpk] ekek vkaV → ekSlh] cqvk] rkbZ] dkdh@pkph] ekeh

oa'kkoyh (Family Tree) dks lkj.khc¼ djus ij%

ih<+h iq#"k efgyknks ih<+h Åij

nknk (xSzaMiQknj@iSVuZy xSzaMiQknj)ukuk (xzSaMiQknj@eSVuZy xSzaMiQknj)

nknh (xzSaMenj@iSVuZy xzSaMenj)ukuh (xSzaMenj@eSVuZy xzSaMenj)

,d ih<+h Åij

firk] iQknj&bu&ykW (llqj)] vady (iwQiQk] ekSlk] rkmQ] pkpk@dkdk)

ekrk] enj&bu&ykW (lkl)] vkaV (cqvk] ekSlh] rkbZ] pkph@dkdh)

esjh ih<+h ifr@eSa] HkkbZ] d”ku (ppsjk@eesjk@iqQiQsjk@ekSlsjk HkkbZ)] cznj&bu&ykW (thtk] lkyk] lk<+w] nsoj] tsB] uanksbZ] cguksbZ)

iRuh@eSa] cgu] dtu (ppsjh@eesjh@iqQiQsjh@ekSlsjh cgu)] flLVj&bu&ykW (uun] HkkHkh] lkyh] nsojkuh] tsBkuh)

,d ih<+h uhps

iq=k] usÝ;w (Hkrhtk] Hkkatk) lu&bu&ykW (nkekn)

iq=kh] uhl (Hkrhth] Hkkath) MkWVj&bu&ykW (cgw@iq=koèkw)

nks ih<+h uhps

ikS=k (iksrk)] ukrh] iksrh dk ifr] ufruh dk ifr

iksrh] ukfru] iksrk dh iRuh (ikS=koèkw)] ukrh dh iRuh

jDr&laca/k(Blood–Relations)5

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fn'kk

fn'kk okLro esaa ,d ekud ifjdYiuk gS ftldh enn ls fdlh

oLrq dh lkisf{kd fLFkfr crkbZ tkrh gSA ;g ekud ifjdYiuk lw;Z

dh vofLFkfr osQ vkèkkj ij dh tkrh gSA bl ifjdYiuk osQ vuqlkj

lw;Z ftl vksj mn; gksrk gS og iwoZ fn'kk gksrh gS rFkk ftl vksj vLr

gksrk gS og if'pe fn'kk gksrh gSA ;fn ge lw;ksZn; osQ le;] lw;Z dh

vksj eq[k djosQ [kM+s gksa vFkkZr~ iwoZ dh vksj [kM+s gksa rks gekjs nk,¡

gkFk dh rjiQ nf{k.k rFkk ck,¡ gkFk dh rjiQ mÙkj gksxkA

lw;Z

mÙkj nf{k.k

iwoZ

if'pe

pkj izeq[k fn'kk,¡ (Four Main Directions)

if'pe (West) iwoZ (East)

mÙkj (North)

nf{k.k (South)

dkx”k ij lnSo Åij dh vksj mÙkj fn'kk] uhps dh vksj nf{k.k

fn'kk] nkb± vksj iwoZ fn'kk rFkk ckb± vksj if'pe fn'kk ekuh tkrh gS]

ijarq ;fn iz'u esaa fn'kk dks vyx LFkku ij ekuk tk, rks ,slh fLFkfr

esaa gy iz'u esaa ekuh xbZ fn'kk osQ vuqlkj gh gksxkA

pkj dk£Muy fn'kk,¡ (Four Cardinal Directions)

mÙkj&if'pe (North-West)

mÙkj&iwoZ (North-East)

iwoZif'pe

mÙkj

nf{k.knf{k.k&iwoZ

(South-East)nf{k.k&if'pe (South-West)

mÙkj&iwoZ dks iwoksZÙkj rFkk mÙkj&if'pe dks if'peksÙkj Hkh dgrs gSaA

fn'kk ijh{k.k(Direction Test)6fofHkUu fn'kkvksa esa ck,¡ rFkk nk,¡ dh fLFkfr (Left and Right Position in Various Directions)

nk;k¡ (Right)nk;k¡ (Right)

nk;k¡ (Right)

nk;k¡ (Right)

ck;k¡ (Left)ck;k¡ (Left)

ck;k¡ (Left)

ck;k¡ (Left)

mÙkj dh vksj

iwoZ dh vksj

nf{k.k dh vksj

if'pe dh vksj

nk;k¡ eqM+uk (Right Turn) ck;k¡ eqM+uk (Left Turn)

90° 90°

90° 90°

90° 90°

90° 90°

izkjafHkd fcanq dks fpÉ ls rFkk vafre fcanq ;k fLFkfr dks fpÉ ls lwfpr djsaxsA ;fn vafre fLFkfr rFkk izkjafHkd fLFkfr leku gks rks fpÉ dk iz;ksx djsaxsA ,slk djus ls [khapk x;k js[kkfp=k vfèkd Li"V gksxk rFkk iz'u dks gy djus esa de le; yxsxkA

iz'u esa ;fn ;g Li"V u gks fd nk,¡ ;k ck,¡ fdrus fMxzh ij eqM+uk gS rks lnSo 90° osQ dks.k ij nk,¡ ;k ck,¡ eqM+k tk,xkA tSlk fd Åij cus nksuksa fp=kksa esa Li"V gSA

12 123

4567

8910

11

nk;k¡ eqM+uk vFkkZr~ ?kM+h dh lwbZ dh fn'kk esa (nf{k.kkorZ)

12 123

4567

8910

11

ck;k¡ eqM+uk vFkkZr~ ?kM+h dh lwbZ ds foijhr fn'kk esa (okekorZ)

Nk;k@ijNkbZ

Nk;k ;k ijNkbZ osQoy rc curh gS tc jks'kuh miyCèk gks] lkFk gh lkFk ge lHkh tkurs gSa fd ijNkbZ ges'kk jks'kuh osQ foijhr fn'kk esa curh gSA ;fn dksbZ O;fDr viuh ijNkbZ dks lkeus ns[k ikrk gS rks

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bl vè;k; esa gesa oqQN O;fDr;ksa] oLrqvksa ;k lewgkas dks fdlh fuf'pr fu;ekuqlkj Øe esa ltkuk gksrk gS ;k oqQN lwpuk,¡ Kkr djuh gksrh gSA iz'u esa nh xbZ lwpuk dbZ ckj Li"V rks dbZ ckj Nqih gqbZ jgrh gS] ftlls Hkze dh fLFkrh iSnk gksrh gS] ijarq ;fn iz'u dks 'kkar eu ls ,dkxzfpr gksdj i<+k tk, rFkk èkhjs&èkhjs iafDr dk fo'ys"k.k djrs gq, mls lgh Øe esa O;ofLFkr fd;k tk, rks iz'uksa osQ mÙkj ljyrk ls fn;s tk ldrs gSaA O;oLFkk eq[;r% js[kh;] o`Ùkh; rFkk tfVy ;k fefJr gksrh gSA

js[kh; O;oLFkk (Linear Arrangement)

blesa pkj fLFkfr;k¡ gks ldrh gS%

(a) tc eq¡g mÙkj dh vksj gks

ck;k¡ nk;k¡

(b)tc eq¡g nf{k.k dh vksj gks

nk;k¡ ck;k¡

(c)tc eq¡g iwoZ dh vksj gks

ck;k¡

nk;k¡

(d)tc eq¡g if'pe dh vksj gks

ck;k¡

nk;k¡

mnkgj.k% 1. 5 yM+fd;k¡ nf{k.k dh vksj eq¡g djosQ [kM+h gSaA P, Q rFkk R osQ

chp esa gS tcfd Q, S osQ ck,¡ gSA S rFkk T Nksjksa ij gSa] rks Bhd chp esa dkSu gS\

(a) R (b) P (c) Q (d) buesa ls dksbZ ughaA gy% izFkepj.k% 5 yM+fd;ksa dks O;ofLFkr djuk gS ftudk eq¡g

nf{k.k dh vksj gSA

nf{k.k

nwljkpj.k% 1. fLFkfr&I fLFkfr&II

Q P R ;k R P Q (laHko ugha)

2. Q, S osQ ck,¡ gS vFkkZr~ S Q

ck,¡

(eq¡g nf{k.k dh vksj gS)

bl dFku ls Kkr gksrk gS fd IokbaV 1 dh nwljh fLFkfr laHko ugha gSA vr% nwljh fLFkfr dks gVk nsrs gSaA

js[kh;] o`Ùkh; rFkk tfVy ;k fefJr O;oLFkk,¡(Linear, Circular and Complex Arrangements)7

nksuksa dks feykus ij& ⇒ S Q P R 3. S vkSj T Nksjksa ij gSaA

S/T T/S

rhljkpj.k% nwljs pj.k osQ lHkh IokbaV~l dks feykus ij] S osQ ckn Øe'k% Q, P vkSj R cSBh gS vkSj S ;k T Nksj ij gSa vFkkZr~ T, S osQ igys (igys Nksj ij) ugha vk ldrkA vr% og vafre Nksj ij vk,xkA

TRPQS

bl izdkj] mi;qZDr O;oLFkk ls Kkr gksrk gS fd Bhd chp esa P cSBh gSA vr% fodYi (b) lgh gSA

2. J, K, L, M, N rFkk O Ng yM+osQ gSa tks fdlh lhèkh js[kk esa [kM+s gSaA L, K osQ Bhd ckb± vksj [kM+k gS tcfd og O osQ nkb± vksj [kM+k gSA M ckb± vksj ls ik¡posa LFkku ij gSA Nksjksa ij J rFkk N gSaA nkb± vksj ls O dk LFkku D;k gksxk\

(a) rhljk (b) ik¡poka (c) nwljk (d) buesa ls dksbZ ugha gy% izFkepj.k% 6 yM+dksa dks O;ofLFkr djuk gS tks lhèkh js[kk esa

[kM+s gSaA ( ;gk¡ fn'kk Li"V ugha gS vr%

ekuk fd os mÙkj fn'kk dh vksj eq¡g djosQ [kM+s gSaA)

nwljkpj.k% 1. L K 2. O L 3. __ ___ __ __ M 4. J/N __ __ __ __ J/N rhljkpj.k% nwljs pj.k osQ lHkh dks feykus ij] J O L K M N vFkok N O L K M J izkIr gksrk gSA iz'u esa nkb± vksj ls O dk LFkku iwNk tk jgk gS] vr% J ;k N

dksbZ Hkh izFke ;k vafre LFkku ij gks mlls iz'u dk mÙkj nsus esa fdlh Hkh izdkj dh leL;k ugha gksxhA

O L K M J/NJ/N

1

1

2

2

3

3

4

4

5

5

6

6

ck;k¡

ckb± vksj ls

nkb± vksj ls

nk;k¡

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bl vè;k; ds varxZr iwNs tkus okys iz'uksa esa dqN la[;kvksa] v{kjksa] 'kCnksa] oLrqvksa] LFkkuksa] O;fDr;ksa bR;kfn dk ,d lewg fn;k gksrk gSA fdarq lewg ds rÙo fdlh fuf'pr Øe esa ugha gksrsA rÙoksa dh fo'ks"krk ds vkèkkj ij rqyukRed :i ls dqN rF; fn;s gksrs gSa] ftuds vkèkkj ij iz'u iwNs tkrs gSaA

vuqØe.k (Sequencing)

fdlh fn;s x, lewg ds rÙoksa dks fdlh fof'k"V xq.k ds vkèkkj ij O;ofLFkr djuk gh ^vuqØe.k* dgykrk gS] ftldk izR;sd rÙo vius ls igys rFkk vius ls ckn okys rÙo ls fdlh Hkh xq.k ds dkj.k lacaèk j[krk gSA

tSls& fdlh ifjokj esa 4 lnL; gSa] ftuesa P rFkk Q ifr&iRuh gSa] iRuh P dh vk;q ifr ls de gS rFkk muds nks cPps R rFkk S gSa] ftuesa ls NksVk yM+dk S, 5 o"kZ dk gSA

mi;qZDr tkudkjh ds vkèkkj ij ge ifjokj ds pkjksa lnL;ksa dh vk;q esa lacaèk LFkkfir dj ldrs gSa rFkk vk;q dks ?kVrs Øe esa j[kdj fuEu vuqØe izkIr gksxkA

Q > P > R > Sijh{kk esa iwNs tkus okys iz'uksa ds vkèkkj ij ge vuqØe.k dks

pkj Hkkxksa esa ck¡V ldrs gSa& 1. la[;k vuqØe.k (Number Sequencing) 2. v{kj ;k 'kCn vuqØe.k (Letter or Word Sequencing) 3. inkuqØe (Ranking) 4. fofoèk (Miscellaneous)

1. la[;k vuqØe.k (Number Sequencing)bl izdkj ds iz'uksa esa dqN la[;kvksa ;k izrhdksa dk lewg vFkok

Js.kh nh tkrh gSA dqN nh xbZ 'krks± ds vuqlkj muesa cnyko fd;k tkrk gS ;k fdlh vU; xq.k ds vkèkkj ij fdlh la[;k@izrhd dh fLFkfr ds ckjs esa tkudkjh iwNh tkrh gSA bl izdkj ds iz'uksa dks gy djus dk dksbZ lhèkk fu;e ugha gSA fujarj vH;kl ds }kjk iz'uksa dh izÑfr dks le>k tk ldrk gSA

mnkgj.k%

1. fuEufyf[kr Js.kh esa dqy fdrus ^5* ,sls gSa] ftuds Bhd igys dksbZ fo"ke la[;k ugha gS\

4 7 3 2 5 1 6 7 9 8 5 2 3 4 1 5 7 8 9 5 6 4 3 5 gy% bl iz'u dks gy djus ds fy;s lcls igys gesa nh xbZ Js.kh

esa lHkh ‘5’ <¡w<+us gksaxsA × × ×4 7 3 2 5 1 6 7 9 8 5 2 3 4 1 5 7 8 9 5 6 4 3 5

vc dsoy mUgha 5 dks fxusaxs] ftuds Bhd igys dksbZ le la[;k gks] bl izdkj ds ^5* dsoy 2 gSaA

2. nh xbZ Js.kh esa ;fn igys vad dks pkSFks vad ls rFkk nwljs vad dks 8osa vad ls foLFkkfir dj fn;k tk, rks ck,¡ ls nwljs vad ds nk,¡ LFkku ij D;k gksxk\

5 7 3 9 8 1 4 2 5 9 6 gy% 1 2 3 4 5 6 7 8 9 10 ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ 5 7 3 9 8 1 4 2 5 6

= 9 2 3 5 8 1 4 7 5 6 ck,¡ ls nwljs vad ds Bhd nk,¡ 3 gksxkA

2. v{kj ;k 'kCn vuqØe.k (Letter or Word Sequencing): 1. bl izdkj ds iz'uksa esa vaxzs”kh ds dqN v{kj ;k 'kCn fn;s tkrs

gSa] ftUgsa fMD'kujh iQkeZ esa ltkdj iz'uksa ds mÙkj rd igq¡pk tk ldrk gSA

mnkgj.k% fuEufyf[kr 'kCnksa dks vaxzs”kh o.kZekyk ds Øe ds vuqlkj O;ofLFkr dhft;sA

disprin, dispensary, dispute, display gy% izkjaHk ds pkj v{kj lHkh 'kCnksa esa leku gSaA blfy;s ge

izkjaHk ds pkj v{kj NksM+ nsrs gSa rFkk ckdh cps v{kjksa ds vkèkkj ij lHkh 'kCnksa dks o.kZekyk ds vuqlkj j[krs gSaA

dispensary display disprin dispute 2. dqN iz'u lhèks vaxzs”kh o.kZekyk ij vkèkkfjr gksrs gSaA fdlh o.kZ

(v{kj) dh fLFkfr nk,¡ vFkok ck,¡ LFkku ls crkbZ tkrh gS rFkk iwNk tkrk gS fd og o.kZ dkSu&lk gS\

mnkgj.k% vaxzs”kh o.kZekyk esa D ds nk;ha vksj nwljk v{kj D;k gksxk\

gy%

A B C D E F G H I J K ......

F

ck,¡ nk,¡

mnkgj.k% vaxzs”kh o.kZekyk ds ck;ha vksj ls NBs v{kj ds ck,¡ rhljk v{kj D;k gksxk\

gy% A B C D E F G H I J K ......

6th

3rd

C

Js.khØe vkSj vuqØe(Ranking Order & Sequence)8

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lkekU; :i esa ^buiqV&vkmViqV* e'khuh ;k daI;wVj 'kCnkoyh gSA tks Hkh funsZ'k ;k lwpuk e'khu vFkok daI;wVj esa nh tkrh gS] mls ^buiqV* dgrs gSa rFkk ml buiqV dks izkslsl djus ds ckn tks ifj.kke (result) izkIr gksrk gS] mls ^vkmViqV* dgrs gSaA

bl vè;k; ds iz'uksa esa e'khu ;k daI;wVj dh dk;Ziz.kkyh dks le>kus ds fy;s ,d fuf'pr izfØ;k ds rgr buiqV fn;k tkrk gS rFkk blds lkFk gh bl buiqV dks vkmViqV esa cnyus ds fy;s fofHkUu pj.k Hkh fn;s tkrs gSaA gesa izfØ;k dks le>us ds ckn bl ij vkèkkfjr iwNs x, iz'uksa dk mÙkj nsuk gksrk gSA bl vè;k; ds iz'u rkfdZd iz.kkyh fodflr djus rFkk bl izdkj ls lacafèkr leL;kvksa dks gy djus esa lgk;d gksrs gSaA

e'khuh vFkok daI;wVj ds dk;Z djus dh izÑfr dks le>us ds fy;s dqN mnkgj.k uhps fn;s tk jgs gSaA 1. buiqV “wants bodies stop can” vc igys ls r; fu;e ds

vkèkkj ij e'khu }kjk igys nks 'kCnksa dks vkil esa cny fn;k x;k rFkk ckdh nksuksa 'kCnksa dks T;ksa dk R;ksa jgus fn;kA bl izdkj igyk vkmViqV ;g gksxkA

vkmViqV&I: “bodies wants stop can” ekuk fd e'khu ;gk¡ ugha :drh gS rFkk vxyk pj.k iwjk djrh gS rks bl pj.k ds fy;s vkmViqV&I bl ckj buiqV ekuk tk,xkA bl ckj r; fu;e ds vkèkkj ij vafre nks 'kCnksa dks cnyk tkrk gS rks vkmViqV ;g gksxk&

vkmViqV&II: “bodies wants can stop” ;fn e'khu fiQj Hkh ugha #drh gS rFkk igys ls r; fu;e] ftlesa fd çR;sd 'kCn ds izFke o vafre v{kj dks gVk;k tkrk gS ds vk/kj ij ;g vkmViqV&III gksxk

vkmViqV&III: “odie ant a to” e'khu dks fiQj vxyk pj.k djuk gS] ftlesa 'kCnksa dks vaxzs”kh 'kCndks'k (Dictionary) ds vuqlkj yxkuk gS rc vkmViqV&III dks bl in ds fy;s buiqV ekuk tk,xk rFkk fuEu vkmViqV gksxk&

vkmViqV&IV: “a ant odie to” vr% e'khu }kjk cuk, x, pj.kksa dks fuEufyf[kr izdkj ls fy[kk tk ldrk gSA

buiqV: wants bodies stop can pj.k&I: bodies wants stop can pj.k&II: bodies wants can stop pj.k&III: odie ant a to pj.k&IV: a ant odie to 2. buiqV % “tom went great brown” ekuk fd e'khu bl buiqV

dks LdSu djrh gS rFkk vaxzs”kh 'kCndks'k ds vuqlkj izFke 'kCn dks izFke LFkku ij j[krh gSA rc izFke vkmViqV gksxk&

pj.k&I: “brown tom went great” D;ksafd brown vaxzs”kh fMD'kujh esa lHkh 'kCnksa ls igys vk,xkA blhfy;s brown izFke LFkku ij vk,xk ckdh 'kCn T;ksa ds R;ksa jgsaxsA e'khu blh izdkj vxyk pj.k iwjk djrh gSA rc&

pj.k&II: “brown great tom went” D;ksafd vaxzs”kh 'kCndks'k (Dictionary) ds vuqlkj nwljk 'kCn great gksxk] ckdh 'kCn T;ksa ds R;ksa jgsaxsA vxj e'khu fiQj ls ;gh dk;Z djuk pkgsxh rks og leku gksxk] D;ksafd pj.k&III esa izkIr lHkh 'kCn vaxzs”kh 'kCndks'k ds vuqlkj gh yxs gq, gSaA vr% e'khu ds pj.k bl izdkj gksaxsA

buiqV: tom went great brown pj.k&I: brown tom went great pj.k&II: brown great tom went 3. buiqV % “wicket peacock 21 9 bird 14 tune 36” ekuk fd

e'khu bl buiqV dks LdSu djrh gS rFkk la[;kvksa esa lcls cM+h la[;k dks izFke LFkku ij j[krh gSA bl izdkj pj.k&I izkIr gksxkA

pj.k&I: “36 Wicket Peacock 21 9 bird 14 tune” (D;ksafd 36 lcls cM+h la[;k gS blfy;s izFke LFkku ij vk,xh rFkk ckdh rÙo mlds ckn T;ksa ds R;ksa vk,axsA e'khu vxys pj.k esa vaxzs”kh 'kCndks'k ds vuqlkj izFke 'kCn dks 36 ds ckn j[krh gSA bl izdkj pj.k&II izkIr gksrk gSA)

pj.k&II: “36 bird wicket peacock 21 9 14 tune” (‘bird’ vaxzs”kh 'kCndks'k esa lcls igys vk,xkA blfy;s mls nwljs LFkku ij j[kk tk,xk] ckdh rÙo T;ksa ds R;ksa jgsaxs) bl ckj e'khu fiQj nwljh lcls cM+h la[;k ysrh gS rFkk pj.k&III izkIr gksrk gSA)

pj.k&III: “36 bird 21 wicket peacock 9 14 tune” blh izdkj e'khu }kjk vU; pj.k Hkh iwjs fd;s tk,axs] tks fuEufyf[kr gS&

pj.k&IV: 36 bird 21 peacock wicket 9 14 tune pj.k&V: 36 bird 21 peacock 14 wicket 9 tune pj.k&VI: 36 bird 21 peacock 14 tune wicket 9 pj.k&VII: 36 bird 21 peacock 14 tune 9 wicket bl izdkj pj.k VII fn;s x, buiqV dk vafre pj.k gSA 4. buiqV% 14 19 5 9 17 vkmViqV ds pj.k bl izdkj gSa% pj.k&I% 5 10 5 9 8 pj.k&II% 56 76 20 36 68 pj.k&III% 225 400 36 100 324 pj.k&IV% 41 56 14 26 50

buiqV & vkmViqV(Input – Output)9

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fdlh fn;s x, xf.krh; O;atd dks fofHkUu xf.krh; fpÉksa (+, –, ×, ÷, <, > vkfn) ds vuqlkj gy djus dh izfØ;k dks xf.krh; lafØ;k (Mathematical Operation) dgrs gSaA xf.krh; lafØ;kvksa dks gy djus ds fy;s ge BODMAS fu;e dk iz;ksx djrs gSaA ftlds vuqlkj fdlh xf.krh; O;atd esa loZizFke dks"Bd (Bracket) dks gy djrs gSa rFkk mlds ckn Øe'k% ^dk* (of)] Hkkx (Division)] xq.kk (Multiplication)] tksM+ (Addition) rFkk ?kVko (Subtraction) dh fØ;k djrs gSaA

rdZ'kfDr ijh{k.k esa xf.krh; lafØ;kvksa dks lhèks&lhèks u iwNdj xf.krh; fpÉksa esa dqN ifjorZu djus ds i'pkr~ iz'u iwNk tkrk gSA blds varxZr iwNs x, iz'uksa esa fn;s x, funsZ'k ds vuqlkj fpÉksa dks ifjofrZr dj lkèkkj.k rjhds ls gy fd;k tkrk gSA

mnkgj.k% 1. ;fn ‘÷’ dk vFkZ ‘+’, ‘–’ dk vFkZ ‘×’, ‘+’ dk vFkZ ‘÷’ rFkk

‘×’ dk vFkZ ‘–’ gks] rks 20 ÷ 12 × 4 + 8 – 6 dk eku D;k gksxk\

(a) 30 (b) 29 (c) 20 (d) buesa ls dksbZ ughaAgy%pj.k–I: loZizFke fdl fpÉ dk vFkZ D;k gS mls lqO;ofLFkr

Øe esa fy[ksaxs rkfd gy djrs le; fdlh izdkj dh my>u u gksA

‘÷’ → ‘+’‘–’ → ‘×’‘+’ → ‘÷’‘×’ → ‘–’

pj.k–II: iz'u dks bl vkèkkj ij ifjofrZr djds fy[ksaxsA 20 ÷ 12 × 4 + 8 – 6 = 20 + 12 – 4 ÷ 8 × 6 pj.k–III: bl izdkj cus u, iz'u dks BODMAS fu;e dh

lgk;rk ls gy djsaxsA 20 + 12 – 4 ÷ 8 × 6

= 20 + 12 – 21 × 6

= 20 + 12 – 3 = 32 – 3 = 29 ;gk¡ 29 fodYi (b) esa ekStwn gS] blfy;s lgh fodYi (b)

gksxkA 2. ;fn ‘+’ dk vFkZ ‘–’ gks] ‘×’ dk vFkZ ‘÷’ gks] ‘÷’ dk vFkZ

‘+’ gks rFkk ‘–’ dk vFkZ ‘×’ gks] rks 4 + 50 × 10 ÷ 4 – 2 = ? (a) 6 (b) 8 (c) 10 (d) buesa ls dksbZ ughaA

gy%pj.k–I: ‘+’ → ‘–’ ‘×’ → ‘÷’ ‘÷’ → ‘+’ ‘–’ → ‘×’

pj.k–II: 4 + 50 × 10 ÷ 4 – 2 → 4 – 50 ÷ 10 + 4 × 2pj.k–III: (BODMAS Rule ls)4 – 50 ÷ 10 + 4 × 2

= 4 – 5 + 4 × 2 = 4 – 5 + 8 = 12 – 5 = 7 7 fdlh Hkh fodYi esa ekStwn ugha gSA vr% fodYi (d) lgh gksxkA 3. ;fn @ dk vFkZ ‘×’ gks, # dk vFkZ ‘÷’ gks] % dk vFkZ ‘+’

gks rFkk * dk vFkZ ‘–’ gks rks fn;s x, lehdj.k esa x dk eku D;k gksxk\

8 @ 57 # 19% 4 * 1 = x (a) 65 (b) 72 (c) 27 (d) 56gy% pj.k–I: ‘@’ → ‘×’ ‘#’ → ‘÷’ ‘%’ → ‘+’ ‘*’ → ‘–’ pj.k–II: 8 @ 57 # 19 % 4 * 1 = x ⇒ 8 × 57 ÷ 19 + 4 – 1 = x pj.k–III: 8 × 57 ÷ 19 + 4 – 1 = x ⇒ 8 × 3 + 4 – 1 = x ⇒ 24 + 4 – 1 = x ⇒ 28 –1 = x \ x = 27 vr% lgh fodYi (c) gSA 4. ;fn ‘+’ dk vFkZ ‘–’ gks] ‘–’ dk vFkZ ‘+’ gks] ‘×’ dk vFkZ

‘÷’ gks rFkk ‘÷’ dk vFkZ ‘×’ gks rks fuEufyf[kr lehdj.k esa iz'u fpÉ ds LFkku ij D;k gksxk\

81 × 9 ÷ (6 + 3) – 2 = ? (a) 29 (b) 15 (c) 18 (d) 5gy%pj.k–I: ‘+’ → ‘–’ ‘–’ → ‘+’ ‘×’ → ‘÷’ ‘÷’ → ‘×’ pj.k–II: 81 × 9 ÷ (6 + 3) – 2 → 81 ÷ 9 × (6 – 3) + 2 pj.k–III: BODMAS Rule ls] 81 ÷ 9 × (6 – 3) + 2 = 81 ÷ 9 × 3 + 2 = 9 × 3 + 2 = 27 + 2 = 29 vr% lgh fodYi (a) gksxkA

xf.krh; lafØ;k,¡(Mathematical Operations)10

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osu vkjs[k] fdlh ”;kferh; vkÑfr ls cus os fp=k (vkjs[k) gksrs gSa ftuesa fofHkUu lewgksa ;k leqPp;ksa ds chp fdlh rk£dd lacaèk dks n'kkZ;k tkrk gSA fdlh fuf'pr lewg dks HkyhHkk¡fr le>us] mldk lacaèk LFkkfir djus rFkk mldh vkjs[kh; O;k[;k djus dh ;ksX;rk dh tk¡p ds mís'; ls osu vkjs[k ij vkèkkfjr iz'u izk;% ekufld ;ksX;rk ijh{k.k esa iwNs tkrs gSaA

bl vè;k; esa ge osu vkjs[k vkSj muls lacafèkr iz'uksa dks gy djuk lh[ksaxsA

osu vkjs[k dks i<+us ls igys ge leqPp; fl¼kar (Set Theory)ds dqN vkèkkjHkwr fcanqvksa dks tku ysrs gSaA

leqPp; (Set)

fofHkUu oLrqvksa (Objects) ds lqifjHkkf"kr (Welldefined) lewg ;k laxzg dks leqPp; dgrs gSaA ftu oLrqvksa ls leqPp; dk fuekZ.k gksrk gS mUgsa rÙo (Element) dgrs gSaA rÙo dqN Hkh gks ldrs gSa] tSlsµ vad] la[;k,¡] v{kj] 'kCn] O;fDr] dksbZ oLrq] vU; dksbZ leqPp; ;k og dqN Hkh ftls ifjHkkf"kr fd;k tk ldsA leqPp; dks vaxzs”kh o.kZekyk ds cM+s v{kjksa }kjk fu:fir fd;k tkrk gS rFkk leqPp; ds izR;sd rÙo dks e¡>yk dks"Bd (Curly Bracket) { } esa fy[krs gSaA

tSls& lHkh izkÑr la[;kvksa dk leqPp; N = {1, 2, 3, 4, ......∞} lHkh le la[;kvksa dk leqPp; E = {2, 4, 6, ...... 2n}, n ∈ N

lkoZHkkSfed leqPp; (Universal Set),d ,slk leqPp; ftlesa fn;s x, fofHkUu leqPp;ksa ds lHkh

rÙo fo|eku gksa] ;wfuolZy ;k lkoZHkkSfed leqPp; dgykrk gSA bls ‘U’ ls izn£'kr djrs gSaA

tSls& lHkh le la[;kvksa dk leqPp;] lHkh vHkkT; la[;kvksa dk leqPp; rFkk lHkh ifjes; la[;kvksa ds leqPp; dk ;wfuolZy leqPp; okLrfod la[;k,¡ gksaxhA

le la[;k,¡ vHkkT; la[;k,¡

U (okLrfod la[;k,¡)

ifjes; la[;k,¡

mileqPp; (Sub Set) leqPp; A, leqPp; B dk mileqPp;

dgk tk,xk] ;fn A ds lHkh rÙo B esa fo|eku gksaA bls ‘⊂’ ls fu:fir djrs gSaA

A B

tSls& ;fn A = {2, 6}, B = {1, 2, 3, 4, 5, 6, 7, 8} ;gk¡ Li"V gS fd A ds rÙo ‘2’ rFkk ‘6’ leqPp; B esa Hkh gSaA vr% A, B dk ,d mileqPp; gksxkA

vFkkZr~ A ⊂ B

leqPp; dh lafØ;k,¡ (Operations of Sets)1. ;wfu;u ;k lfEeyu (Union of Sets):

;fn dksbZ nks leqPp; A rFkk B gksa] rks A ∪ B (A ;wfu;u B) ,d ,slk leqPp; gksxk ftlesa A rFkk B dk izR;sd rÙo fo|eku gksA

A B

A ∪ B

tSls& A = {1, 2, 3} B = {3, 4, 5} A ∪ B = {1, 2, 3, 4, 5}

2. leqPp;ksa dk mHk;fu"B (Intersection of Sets): ;fn nks leqPp; A rFkk B gksa rks A ∩ B (A baVlsZD'ku B) ,d

,slk leqPp; gksxk ftlesa dsoy os gh rÙo gksaxs tks nksuksa leqPp;ksa (A rFkk B) esa fo|eku gksaA

BA

A ∩ B

tSls& A = {1, 2, 3} B = {3, 4, 5} A ∩ B = {3}

njvly] fdlh fn;s x, leqPp; ;k leqPp;ksa dks T;kfefr fofèk }kjk izn£'kr djuk gh osu vkjs[k dgykrk gSA loZizFke ;wyj uked xf.krK us leqPp;ksa dks T;kferh; vkdkj nsus dh fofèk izkjaHk dhA ckn esa tkWu osu (John Venn) }kjk ;g fofèk fodflr dh xbZ vkSj bUgha ds uke ij bls osu vkjs[k dgk tkrk gSA

osu vkjs[k dh le> (Understanding of Venn Diagram)

tc ge fdlh ,d izdkj dh oLrqvksa ds lewg ;k leqPp; dks vkjs[k }kjk n'kkZrs gSa rks ge o`Ùkksa dk iz;ksx djrs gSaA ijarq dHkh&dHkh

1A B

4

2 53

BA1 4

32 5

rkfdZd osu vkjs[k(Logical Venn Diagrams)11

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210

fn;s x, dFkuksa@okD;ksa dks lR; ekurs gq,] muds vkèkkj ij dksbZ oSèk fu"d"kZ fudkyuk gh U;k; fuxeu dgykrk gSA ijh{kk dh n`f"V ls ;g O;kid gS vkSj ijh{kkFkhZ dh fo'ys"k.k ;ksX;rk dks ij[kus esa enn djrk gSA fn;s x, dFkuksa ls fudyus okyk vFkZ muds okLrfod vFkZ ls fHkUu gks ldrk gSA vr% gesa mu dFkuksa ls fudyus okys vFkZ ij è;ku ugha nsuk pkfg;sA U;k; fuxeu (Syllogism) ds iz'uksa dks osu vkjs[k (Venn Diagram) dh lgk;rk ls gy fd;k tk ldrk gSA ;gk¡ ij dqN fu;e fn;s tk jgs gSa tks bl izdkj ds iz'uksa dks de le; esa gy djus esa enn djrs gSaA

dFku (Statement)fo"k; (Subject)] foèks; (Predicate) vkSj ;kstd (Copula or

Connector) ls feydj dFku (Statement) curk gSA tSls& 1. lHkh MkWDVj bathfu;j gSaA ↓ ↓ ↓ fo"k; foèks; ;kstd 2. dqN daI;wVj ySiVkWi gSaA 3. dksbZ Hkh ?kksM+k gkFkh ugha gSA 4. dqN feBkb;k¡ yky ugha gSaA

dFku ds izdkj (Types of Statement) 1. lkoZHkkSfed ldkjkRed (Universal Affirmative) dFku 2. fof'k"V ldkjkRed (Particular Affirmative) dFku 3. lkoZHkkSfed udkjkRed (Universal Negative) dFku 4. fof'k"V udkjkRed (Particular Negative) dFku

1. lkoZHkkSfed ldkjkRed dFku (UA)lkekU;r% 'kCn lHkh] lc] izR;sd] lkjs ,oa ldkjkRed Hkkouk

ds lkFk O;fDr ds uke vkfn ls 'kq: gksus okys dFku UA izdkj ds dFku gksrs gSaA tSls& 1. lHkh MkWDVj bathfu;j gSaA 2. izR;sd daI;wVj ySiVkWi gSA 3. lkjs ?kksM+s gkFkh gSaA

4. lHkh feBkb;k¡ yky gSaA 5. egkRek xkaèkh vPNs O;fDr FksA

osu vkjs[ktSls& lHkh MkWDVj bathfu;j gSaA

fLFkfr I fLFkfr II

MkWDVj

bathfu;j MkWDVj ¾ bathfu;j

2. fof'k"V ldkjkRed dFku (PA)lkekU;r% 'kCn dqN] vfèkdka'k] vfèkdrj] vkerkSj ij] cgqr

lkjs ,oa yxHkx vkfn ls 'kq: gksus okys dFku PA izdkj ds dFku gksrs gSaA

tSls&

1. dqN MkWDVj bathfu;j gSaaA 2. vfèkdrj daI;wVj ySiVkWi gSaA 3. vfèkdka'k ?kksM+s gkFkh gSaA 4. vkerkSj ij feBkb;k¡ yky gksrh gSaA 5. dqN O;fDr vPNs gksrs gSaA

osu vkjs[k

tSls& dqN MkWDVj bathfu;j gSaA

fLFkfr I fLFkfr II fLFkfr III fLFkfr IV

MkWDVj bathfu;j

MkWDVj

bathfu;j MkWDVj

bathfu;j

MkWDVj = bathfu;j

3. lkoZHkkSfed udkjkRed dFku (UN)lkekU;r% 'kCn dksbZ Hkh--- ugha] udkjkRed Hkkouk ds lkFk O;fDr

,oa iz'uokpd okD; vkfn UN izdkj ds dFku gksrs gSaAtSls&

1. dksbZ Hkh MkWDVj bathfu;j ugha gSA 2. dksbZ Hkh daI;wVj ySiVkWi ugha gSA 3. dksbZ Hkh ?kksM+k gkFkh ugha gSA 4. dksbZ Hkh feBkbZ yky ugha gSA 5. D;k eksgu bl iz'u dk mÙkj ns ldrk gS\osu vkjs[k

tSls& dksbZ Hkh MkWDVj bathfu;j ugha gSA

MkWDVj bathfu;j

4. fof'k"V udkjkRed dFku (PN)

lkekU;r% 'kCn dqN---ugha] vfèkdka'k---ugha] vfèkdrj---ugha] vkerkSj ij---ugha] cgqr lkjs---ugha ,oa yxHkx---ugha vkfn PN izdkj ds dFku gksrs gSaA tSls&

U;k; fuxeu(Syllogism)12

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243

,d igsyh] ,slk dksbZ dFku ;k dFkuksa dk lewg gS] tks lR; gksus ds ckn Hkh vLi"V vFkZ n'kkZrh gSA bu dFkuksa dks rkfdZd :i ls fo'ysf"kr dj vFkZ Li"V djuk gh bl vè;k; ds iz'uksa dk mís'; gSA

bl vè;k; ds iz'uksa ds dqN dFkuksa ds ekè;e ls dqN lwpuk,¡ nh xbZ gksrh gSaA gesa bu csrjrhc ,oa vO;ofLFkr <ax ls nh xbZ lwpukvksa dks O;ofLFkr djds mlls iz'u esa iwNh xbZ tkudkjh dks izkIr djuk gksrk gSA vr% iz'uksa dks lVhd] tYnh vkSj lgh ls gy djus ds fy;s fuEufyf[kr lq>koksa dk ikyu fd;k tk ldrk gS&

1. lcls igys fn;s x, lHkh dFkuksa dks ,d ckj ljljh fuxkg ls ns[k ysaA blls vkidks bl ckr dk vuqeku gks tk,xk fd iznÙk lwpuk,¡ fdl izdkj dh gSa vkSj mudk Lo:i D;k gS\

2. mlds ckn ,d&,d lwpuk dks i<+rs gq, mlls ,d rkfydk cukus dh dksf'k'k dhft;sA dqN lwpuk,¡ ldkjkRed gksrh gSa rFkk dqN lwpuk,¡ udkjkRed gksrh gSa] tks miyCèk laHkkoukvksa dks Nk¡Vus esa enn djrh gSaA tSls A, B vkSj C esa ls dksbZ ,d izksisQlj gS] ldkjkRed lwpuk rFkk B izksisQlj ugha gS udkjkRed lwpuk] vr% ;k rks A ;k C izksisQlj gSA

3. vc rS;kj rkfydk dh enn ls iwNs x, iz'uksa dk mÙkj nsa] tSls&

funsZ'k (ç-la- 1–4) : lkr fo"k;ksa& ¯gnh] vaxzs”kh] xf.kr] bfrgkl] Hkwxksy] n'kZu vkSj laLÑr dh ,d&,d d{kk,¡ gksuh gS rFkk lkseokj ls 'kq: djds jfookj dks [kRe gksuh gSA d{kk,¡ lkr Dykl :eksa A, B, C, D, E, F vkSj G esa ls fdlh ,d esa gksaxh vkSj çR;sd Dykl:e esa ,d d{kk gh gksxhA

Hkwxksy dh d{kk 'kqØokj dks Dykl:e D esa gqbZA Hkwxksy vkSj vaxzsth ds chp dsoy ,d d{kk gksuh FkhA n'kZu dh d{kk] xf.kr ds ,dne ckn] ysfdu laLÑr ls Bhd igys gqbZA n'kZu dh d{kk Dykl:e E esa ugha gqbZ FkhA lkseokj dks gksus okyh d{kk] Dykl:e C esa gqbZA laLÑr dh d{kk vkSj Dykl:e A esa gqbZ d{kk ds chp dsoy ,d d{kk gqbZA xf.kr dh d{kk A esa ugha gqbZA B esa gqbZ d{kk] E dh d{kk ls ,dne igys gqbZA bfrgkl dh d{kk lkseokj dks ugha gqbZ vkSj Dykl:e G dh d{kk] A dh d{kk ds ckn ugha gqbZA

1. ¯gnh vkSj bfrgkl dh d{kk ds chp fdruh d{kk,¡ gqb±&

(a) ,d (b) nks

(c) rhu (d) pkj

2. Hkwxksy dh d{kk fdl fnu gqbZ\

(a) lkseokj (b) eaxyokj

(c) 'kfuokj (d) buesa ls dksbZ ughaA

3. ;fn C dh d{kk dk B ls vkSj laLÑr dk bfrgkl ls dksbZ lacaèk

curk gS rks mlh i¼fr dks viukrs gq, Dykl:e E dk fuEu

esa fdlds lkFk lacaèk cusxkA (a) A (b) D

(c) C (d) buesa ls dksbZ ughaA

4. vaxzs”kh dh d{kk fdl Dykl:e esa gqbZ\

(a) B (b) C

(c) F (d) buesa ls dksbZ ughaA

gy (ç-la- 1–4) :

iznÙk vuqns'kksa ls fuEufyf[kr lkj.kh cusxhA

xf.krn'kZulaLÑr

lkseokj ¯gnh C

eaxyokj xf.kr G A ×

cqèkokj n'kZu B E ×

c`gLifrokj laLÑr E

'kqØokj Hkwxksy D

'kfuokj bfrgkl A

jfookj vaxzs”kh F

1. vr% ¯gnh vkSj bfrgkl ds chp 4 d{kk,¡ gqb±A

2. Hkwxksy dh d{kk 'kqØokj dks gqbZA

3. iznÙk lacaèk ,d fnu ckn dh d{kk dk gSA vr% E ds ,d fnu

ckn d{kk A gqbZA

4. vaxzs”kh dh d{kk Dykl:e F esa gqbZA

rk£dd igsfy;k¡(Logical Puzzles)13

vH;kl iz'u

funsZ'k (iz-la- 1–4) : ik¡p efgykvksa& lhrk] jkèkk] jhrk] xhrk vkSj ehuw rFkk ik¡p iq#"kksa& jke] ';ke] eksgu] lksgu vkSj gfj dk ,d lewg gSA buesa nks fookfgr tksM+s gSaA lewg dk ,d vfookfgr yM+dk vkSj ,d vfookfgr yM+dh_ buesa ls ,d tksM+s ds iq=k vkSj iq=kh gSA

vc fuEufyf[kr dFkuksa ij fopkj djsaA I. jkèkk vkSj xhrk fookfgr gSa] ysfdu xhrk fu%larku gSA II. jke] ';ke dk iq=k gS rFkk eksgu vkSj gfj vfookfgr gSaA III. jhrk vkSj ehuw dk dksbZ HkkbZ ugha gSA

Page 26: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

1- Ük`a[kyk (Series)

2- lkn`';rk (Analogy)

3- oxhZdj.k (Classifications)

4- iklk (Dice)

5- ?ku rFkk ?kukHk (Cube & Cuboid)

6- ?kfM+;k¡ (Clocks)

7- dSysaMj (Calendar)

8- niZ.k izfrfcac (Mirror Images)

9- ty izfrfcac (Water Images)

10- layXu vkjs[k (Embedded Figures)

11- fp= dks iw.kZ djuk (Completion of Figures)

12- dkxT+k dks dkVuk] tksM+uk vkSj eksM+uk (Paper Cutting, Adding and Folding)

13- fp=ksa dks fxuuk (Counting of Figures)

[kaM&2vHkkf"kd rdZ'kfDr Non-Verbal Reasoning

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Ük`a[kyk dk 'kkfCnd vFkZ gS ^vuqØe*A bl vè;k; ls iz'u dbZ izdkj ls iwNs tkrs gSa] tSls&zz iz'u vkÑfr;ksa esa nh xbZ pkj ;k ik¡p vkÑfr;ksa ds vuqØe vFkkZr~ iSVuZ dks le>uk vkSj mÙkj vkÑfr;ksa esa ls ,d lgh fp=k dks pquukA

zz pkj ;k ik¡p iz'u vkÑfr;ksa esa ls ,d vkÑfr yqIr gksrh gS] gesa Ük`a[kyk ds iSVuZ dks le>dj mÙkj vkÑfr;ksa esa ls ,d lgh vkÑfr dks pquuk gksrk gSA

zz pkj fodYi gksus ij ik¡p ;k Ng vkÑfr;ksa okys iz'u esa ls Øe'k% ,d vkSj nks vkÑfr;k¡ vfpfÉr gksrh gSaA bu vkÑfr;ksa esa ls ml vkÑfr dks <w¡<+uk gksrk gS] tks vuqØe dk vuqlj.k ugha djrh gSaA

mi;qZDr izdkj ds iz'uksa ds gy rd igq¡pus ds fy;s gesa vkÑfr;ksa esa iz;ksx fd;s x, Øe vkSj iSVuZ dks le>uk gksrk gSA izk;% mi;ksx gksus okys dqN iSVuZ uhps cuk, x, gSa&zz Øfed :i ls rÙoksa (Elements) dh la[;k esa o`f¼ ;k deh vFkok nksuksa dk feJ.k]

zz Øfed :i ls rÙoksa dk ?kw.kZu (Rotation),zz rÙoksa ds vkdkj esa o`f¼ ;k deh]

zz rÙoksa dk LFkku ifjorZu]

zz mi;qZDr crk, x, ,d ls vfèkd iSVuZ dk feJ.kA

mnkgj.k %

funsZ'k (ç-la- 1–2): fuEufyf[kr izR;sd ç'u esa pkj iz'u vkÑfr;k¡ vkSj pkj fpfÉr mÙkj vkÑfr;k¡ (a), (b), (c) vkSj (d) nh xbZ gSaA fpfÉr vkÑfr;ksa esa ls ml vkÑfr dks pqfu;s tks pkj vfpfÉr vkÑfr;ksa esa fn;s x, lqfuf'pr vuqØe dk vuqlj.k djrh gSA 1.iz'uvkÑfr;k¡%

mÙkjvkÑfr;k¡%

(a) (b) (c) (d) gy%iz'u vkÑfr;ksa dk voyksdu djus ij Kkr gksrk gS fd izR;sd

vxyh vkÑfr esa iapHkqt dh tks ,d Hkqtk yqIr gS] og ?kM+h dh lwbZ dh foijhr fn'kk esa nks Hkqtk vkxs gks tkrh gS tcfd LVkj (*) fpÉ ?kM+h dh lwbZ dh fn'kk esa nks Hkqtk vkxs c<+ tkrk gS] lkFk gh ;g Øfed :i ls iapHkqt ds ckgj vkSj vanj gks

tkrk gSA bl vkèkkj ij iz'u vkÑfr dh vafre vkÑfr dks ns[krs gq, lgh fodYi (b) gSA

2. iz'uvkÑfr;k¡%

X X

X

X

mÙkjvkÑfr;k¡%

X

S X

S

XS X

S

(a) (b) (c) (d) gy%ç'u vkÑfr;ksa dh igyh vkÑfr dks ns[kus ij Kkr gksrk gS

fd izR;sd vxyh vkÑfr esa ,d u;k lwpd@fpÉ vk tkrk gS] lkFk gh iwoZ fLFkfr okyk lwpd fpÉ ?kM+h dh lwbZ dh foijhr fn'kk esa ,d LFkku vkxs pyk tkrk gSA bl vkèkkj ij nks fodYi lgh gks ldrs gSa% (b) vkSj (d), ijarq è;ku ls voyksdu djus ij Kkr gksrk gS fd u;k lwpd ,dkarj :i ls mifLFkr lwpd ls Øe'k% igys vkSj ckn esa tqM+rk gSA vr% lgh fodYi (b) gSAfunsZ'k  (ç-la- 3–4): fuEufyf[kr izR;sd ç'u esa ik¡p iz'u

vkÑfr;k¡ vfpfÉr gSaA blds ckn mÙkj vkÑfr;ksa ds :i esa pkj vU; fpfÉr vkÑfr;k¡ (a), (b), (c) vkSj (d) nh xbZ gSaA mÙkj vkÑfr;ksa es ls ml vkÑfr dks pqfu;s tks ik¡p iz'u vkÑfr;ksa esa fn;s x, lqfuf'pr vuqØe ( Ük`a[kyk ) dk vuqlj.k djrh gSA 3. iz'uvkÑfr;k¡%

mÙkjvkÑfr;k¡%

(a) (b) (c) (d) gy%"kV~Hkqt dh Hkqtkvksa esa ls ,d Hkqtk izR;sd vxyh vkÑfr esa

?kM+h dh lwbZ dh foijhr fn'kk vkSj lwbZ dh fn'kk esa Øfed :i ls yqIr gks tkrh gSA lwpd ‘ ’ dh la[;k esa ,d&,d dh o`f¼ gks jgh gS] lkFk gh ;g ?kM+h dh lwbZ dh fn'kk esa ?kwe jgk gSA bl vkèkkj ij (b) vkSj (c) nksuksa lgh gks ldrs gSa ijarq lwpd dh la[;k esa ,dkarj :i esa o`f¼ gks jgh gS vkSj bl vkèkkj ij fodYi (c) lgh gSA

Ük`a[kyk(Series)1

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lkn`';rk dk 'kkfCnd vFkZ gS ^leku n`';*A bl vè;k; esa fn;s x, iz'uksa ds dqN fp=k vkil esa fdlh&u&fdlh izdkj ls ,d&nwljs ls lacafèkr gksrs gSaA gesa blh lacaèk dks le>dj fn;s x, fodYiksa esa ls lgh fodYi dks pquuk gksrk gSA lacaèk dbZ izdkj ds gks ldrs gSa ftuesa ls dqN lacaèk uhps fn;s x, gSaµ

zz rÙoksa (elements) dh la[;k esa o`f¼ ;k deh

zz rÙoksa dh vkÑfr ;k eki esa ifjorZu

zz rÙoksa esa ?kw.kZu (rotation)

zz rÙoksa dk LFkkukarj.k

mnkgj.k%

funsZ'k (iz-la- 1–2)% iz'u vkÑfr;ksa dh igyh bdkbZ esa nwljh vkÑfr dk igyh vkÑfr ds lkFk ,d [kkl lacaèk curk gSA blh rjg mÙkj vkÑfr;ksa esa ls fdlh ,d vkÑfr dk iz'u vkÑfr;ksa dh nwljh bdkbZ dh igyh ;k nwljh vkÑfr ls ogh lacaèk curk gSA blfy;s vkidks ml vkÑfr dk irk yxkuk gS tks iz'ufpÉ (?) ds LFkku ij vk,xhA 1.iz'uvkÑfr;k¡%

T C M

U V

V D U ?

D U B

CT

mÙkjvkÑfr;k¡%

U U U U

B B

B

BMM

M M

(a) (b) (c) (d) gy% iz'u vkÑfr esa nwljh bdkbZ dh nwljh vkÑfr ds LFkku ij iz'u

fpÉ gS ftls iwjk djuk gSA ;fn igyh bdkbZ dh nksuksa vkÑfr;ksa dks le>k tk, rks blesa igyh vkÑfr ls nwljh vkÑfr esa ‘C’ dk fod.khZ; LFkkukarj.k fd;k x;k gS] bl vkèkkj ij nwljh bdkbZ esa ‘ ’ dks ns[kus ij lHkh fodYi lgh gSA ‘T’ dks fod.khZ; foijhr Hkstk x;k gS] lkFk gh 180° ?kqek;k x;k gSA bl vkèkkj ij ‘M’ dks ns[kus ij fodYi (b) xyr gSA ‘V’ dks LFkku ifjorZu ds lkFk 90° ?kM+h dh lwbZ dh foijhr fn'kk esa ?kqek;k x;k gS] bl vkèkkj ij nwljh bdkbZ esa ‘U’ dks ns[kus ij fodYi (c) xyr gSA igyh bdkbZ esa ‘U’ dks ?kM+h dh lwbZ dh mYVh fn'kk esa fod.khZ; LFkkukarfjr fd;k x;k gS] vr% igyh bdkbZ esa ‘U’ dh fLFkfr dks ns[krs gq,] nwljh bdkbZ esa ‘ ’ ns[kus ij fodYi (a) xyr gSA vr% lgh fodYi (d) gSA

2.iz'uvkÑfr;k¡%

Z I V U

U V I Z

? T CI

=

mÙkjvkÑfr;k¡%

I T

=

C= TI

C

TCI

=

TC

I=

(a) (b) (c) (d)gy%bl iz'u esa nwljh bdkbZ dh igyh vkÑfr dks Kkr djuk gSA

igyh bdkbZ esa ‘Z’ dks ns[krs gq, nwljh bdkbZ esa ‘’ dks ns[kus ij fodYi (a) vkSj (b) xyr gaSA igyh bdkbZ dh nwljh vkÑfr ls igyh vkÑfr esa ‘’ dks ,d LFkku igys f'kÝV fd;k x;k gSA nwljh bdkbZ esa ‘=’ dks ns[kus ij fodYi (d) Hkh xyr gSaA vr% lgh fodYi (c) gSA

3. fuEufyf[kr iz'u ds pkj fodYiksa esa ls rhu fodYiksa esa rÙo I, rÙo II ls leku izdkj ls lacafèkr gSA og fodYi Kkr dhft;s ftlesa rÙo I, rÙo II ls mlh izdkj lacafèkr ugha gSA

II II II III I I I

S XSX D

D

(a) (b) (c) (d)gy%gesa bu fodYiksa esa ,d vleku lacaèk okys fodYi dks <w¡<+uk

gSA fodYi (a) esa vkÑfr I dks 180° ?kqekdj II esa n'kkZ;k x;k gSA ;gh dk;Z fodYi (b), (c) vkSj (d) esa Hkh nksgjk;k x;k gS] ijarq fodYi (c) dks è;ku ls ns[kus ij Kkr gksrk gS fd bls iw.kZ :i ls 180° ij ?kqek;k rks x;k gS ijarq blesa ‘ ’ rFkk ‘

D’ dks

xyr :i esa iznf'kZr fd;k x;k gSA vr% lgh fodYi (c) gSAfunsZ'k (iz-la- 4–5)% uhps fn;s x, iz'uksa esa lacafèkr vkÑfr;ksa

dk ,d tksM+k gksrk gS vkSj mlds ckn vkÑfr;ksa ds pkj la[;kafdr tksM+ksa esa ls ml tksM+s dks pqfu;s tks mlh rjg dk lacaèk izdV djrk gS tSlk ewy tksM+s esa fn;k x;k gSA fudVre lacaèk fn[kkusokyh fodYi&vkÑfr;ksa ds lewg esa ls vkidks loksZÙke mÙkj pquuk gSA 4.

III

II II II III I I I

(a) (b) (c) (d)

lkn`';rk(Analogy)2

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bl vè;k; esa ge fn;s x, fp=kksa esa ls ,d fHkUu fp=k dks fudkyuk lh[ksaxsA bl vè;k; ds iz'uksa esa pkj ;k ik¡p fodYi fn;s tkrs gSa ftuesa ls ,d dks NksM+dj vU; lHkh esa leku xq.k] fo'ks"krk vFkok ,d fuf'pr rjhdk ik;k tkrk gS] gesa ml rjhds dks le>uk gksrk gS vkSj fo"ke vFkkZr~ fHkUu vkÑfr dks <w¡<+dj lgh mÙkj rd igq¡puk gksrk gSA

mnkgj.k %

funsZ'k (iz-la- 1–3): uhps fn;s x, iz'u esa pkj vkÑfr;k¡ nh xbZ gSaA muesa ls rhu fdlh izdkj ls ,d leku gSa vkSj viuk ,d lewg cukrh gSaA muesa ls dkSu&lh vkÑfr ml lewg esa 'kkfey ugha gksrh gS\ 1.

(a) (b) (c) (d) gy: fodYi (b) dks NksM+dj vU; lHkh fodYiksa dh vkÑfr esa

vkarfjd T;kferh; fp=k esa Hkqtkvksa dh la[;k ckgjh fp=k ls ,d vfèkd gSA vr% mÙkj gsrq lgh fodYi (b) gSA

2.

(a) (b) (c) (d)

gy: izR;sd fodYi esa ,d [kqyh gqbZ vkÑfr gS rFkk lkFk esa ,d

NksVk&lk rÙo gS ftldk iz;ksx dj can vkÑfr rS;kj dh tk

ldrh gS ijarq fodYi (d) esa NksVs rÙo ls can vkÑfr rS;kj

ugha dh tk ldrh gSA vr% lgh fodYi (d) gSA

3.

S

S

S

(a) (b) (c) (d)

gy: fodYi (b), (c) vkSj (d) dh vkÑfr leku gSA iwjh vkÑfr

dks dsoy ?kM+h dh lwbZ dh fn'kk esa fHkUu&fHkUu dks.kksa ls ?kqekdj

iznf'kZr fd;k x;k gS tcfd fodYi (a) esa rÙo dks vyx :i

esa iznf'kZr fd;k x;k gSA vr% lgh fodYi (a) gSA

vH;kl iz'u

funsZ'k  (iz-la- 1–20): fn;s x, fodYiksa esa ls fo"ke vkÑfr

pqfu;sA

1.

(a) (b) (c) (d)

2.

M M H E

(a) (b) (c) (d)

3. V # T

V # T

V T #

V # T

(a) (b) (c) (d)

4.

(a) (b) (c) (d)

5. +++

++

+ +

(a) (b) (c) (d) 6.

(a) (b) (c) (d) 7.

(a) (b) (c) (d) 8. O +

R N +

× ×

N O

R + ×

N

O O

+ R

(a) (b) (c) (d) 9.

(a) (b) (c) (d)

oxhZdj.k(Classifications)3

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iklk] lkekU;r% ;g ,d ?kukdkj f=kfoeh; (3–D) vkÑfr gS ftlesa 6 iQyd gksrs gSaA

ijarq tc bl f=kfoeh; (3–D) vkÑfr dk dkx”k ij f}foeh; (2–D) fp=k cuk;k tkrk gS rks gesa blesa vfèkdre rhu iQyosaQ gh fn[kkbZ iM+rh gSa vkSj rhu Nqih gqbZ jgrh gSaA

,d ikls esa fdlh Hkh ,d iQyd osQ lfUudV (yxs gq,) 4 iQyd vkSj foijhr esa 1 iQyd gksrk gSA

mnkgj.k%

2

3

4

15

6

blh ikls dk [kqyk :i

42 1 5

36

bl ikls esa la[;k 1 osQ lfUudV iQyd ij 2, 5, 4 vkSj 3 gSa rFkk foijhr iQyd ij 6 gSA

ikls eq[;r% nks izdkj osQ gksrs gSa&

1.ekudiklk(Standard Dice): ekud iklk ml ikls dks dgrs gSa ftlosQ fdUgha nks foijhr iQydksa osQ vadksa dk ;ksx 7 gksrk gS vFkkZr~ 1 osQ foijhr iQyd ij ges'kk 6 gksxkA lkFk gh] 2 osQ foijhr iQyd ij ges'kk 5 vkSj 3 osQ foijhr iQyd ij ges'kk 4 gksxkA

2.lkekU; iklk (General Dice): ftlesa foijhr iQydksa osQ vadksa dk ;ksx 7 gksus dh ckè;rk u gks mls lkekU; iklk dgrs gSaA

lkekU;r% iwNs tkus okys iz'uksa esa ekud ikls dk f”kØ ugha jgrk gSA vr% ge mls ,d lkekU; iklk ekudj gh iz'u gy djrs gSaA bl ikls esa iQyd ij la[;k osQ LFkku ij v{kj] 'kCn] lwpd (Symbol) vkSj fcanq (Point) vkfn dk Hkh iz;ksx fd;k tkrk gSA ,d iklk 11 fHkUu&fHkUu izdkj ls [kqys gq, Ng iQydksa dks

eksM+dj cuk;k tk ldrk gSA ikls osQ bl [kqys :i dks ikls dk ̂ izlkj fp=k* Hkh dgrs gSaA

;gk¡ ge ikls osQ 11 izdkj osQ ^izlkj fp=k* ns[ksaxs vkSj mUgsa gy djuk Hkh lh[ksaxsA

5

62

4

5

62

13

1. 5 2 6143

bl izlkj fp=k osQ vuqlkj ikls esa

2 osQ foijhr 4,

1 osQ foijhr 3

vkSj 5 osQ foijhr 6 gSA

2. 16 2 3

45

bl izlkj fp=k osQ vuqlkj ikls esa

1 osQ foijhr 4,

2 osQ foijhr 5

vkSj 3 osQ foijhr 6 gSA

3. A CE BFD

bl izlkj fp=k osQ vuqlkj ikls esa

C osQ foijhr F,

E osQ foijhr D

vkSj A osQ foijhr B gSA

4. B DFC EA

bl izlkj fp=k osQ vuqlkj ikls esa

D osQ foijhr C,

F osQ foijhr A

vkSj B osQ foijhr E gSA

5. F CDAE B

bl izlkj fp=k osQ vuqlkj ikls esa

C osQ foijhr A,

D osQ foijhr E

vkSj F osQ foijhr B gSA

6. 24 6

3 51

bl izlkj fp=k osQ vuqlkj ikls esa

2 osQ foijhr 3,

6 osQ foijhr 1

vkSj 4 osQ foijhr 5 gSA

7. F DBE A

C

bl izlkj fp=k osQ vuqlkj ikls esa

D osQ foijhr E,

F osQ foijhr A

vkSj B osQ foijhr C gSA

8. bl izlkj fp=k osQ vuqlkj ikls esa

,d fcanq osQ foijhr pkj fcanq]

Ng fcanq osQ foijhr rhu fcanq

vkSj ik¡p fcanq osQ foijhr nks fcanq gSaA

iklk(Dice)4

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dksuk@'kh"kZ(Corner)

fdukjk(Edge)

lrg(Surface) ?ku

dksuk(Corner)

fdukjk (Edge)

lrg(Surface)

?kukHk

zz ?ku vkSj ?kukHk nksuksa gh f=kfoeh; (3-dimensional) vkÑfr;k¡ gSa ftuesa 6 iQyd (lrg), 12 fdukjs vkSj 8 dksus gksrs gSaAzz ?ku dh lHkh Hkqtk,¡ leku gksrh gSa tcfd ?kukHk dh yackbZ] pkSM+kbZ vkSj Å¡pkbZ esa ls de ls de nks leku] ugha gksrhAzz mnkgj.k ds rkSj ij iklk ,d ?ku gS] tcfd ekfpl ckWDl vFkok b±V ?kukHk ds vkdkj dh gSAbl vè;k; ds iz'uksa dks gy djus ds nks rjhds gSaµ

(i) igyk lw=k dk iz;ksx dj (ii) nwljk vkÑfr dk fuekZ.k dj igys rjhds ls dsoy ?ku ds dqN fuf'pr iSVuZ okys iz'uksa dks

gy fd;k tk ldrk gS tcfd nwljs rjhds ls yxHkx lHkh iz'uksa dksA ge ;gk¡ nksukas fofèk;ksa dks lh[ksxsaA vkb;s bu iz'uksa dks dqN mnkgj.k }kjk lh[krs gSa&

mnkgj.k%funsZ'k (iz-la- 1&5): 8 lseh- Hkqtk okys ,d ?ku ds lHkh iQyd

jaxs gq, gSA bls 2–2 lseh- okys iQyd ds ?kuh; vkdkj esa dkVk tkrk gSA rc& 1. fdrus NksVs ?ku fu£er gksaxs\ 2. fdrus NksVs ?kuksa ds rhu iQyd jaxs gq, gSa\ 3. fdrus NksVs ?kuksa ds nks iQyd jaxs gq, gSa\ 4. fdrus NksVs ?kuksa dk ,d iQyd jaxk gqvk gS\ 5. fdrus NksVs ?kuksa dk dksbZ Hkh iQyd jaxk gqvk ugha gS\ gy%igyhfofèk%

1. n = cM+s ?ku dh Hkqtk

NksVs ?ku dh Hkqtk

82= = 4

NksVs ?kuksa dh dqy la[;k = n3 = (4)3 = 64 2. jaxs gq, rhu iQydksa okys NksVs ?kuksa dh la[;k = 8 3. jaxs gq, nks iQydksa okys NksVs ?kuksa dh la[;k = (n – 2) × 12 = (4 – 2) × 12 = 24 4. jaxs gq, ,d iQyd okys NksVs ?kuksa dh la[;k = (n – 2)2 × 6 = (4 – 2)2 × 6 = 4 × 6 = 24

5. jaxghu iQydksa okys NksVs ?kuksa dh la[;k = (n – 2)3

= (4 – 2)3 = 23 = 8

Lej.kh;rF;?ku dks ftrus Hkkxksa esa dkVk x;k gks og la[;k ‘n’ gks rks]

zz n = cM+s ?ku dh Hkqtk dh yackbZ

NksVs ?ku dh Hkqtk dh yackbZ

zz NksVs ?kuksa dh dqy la[;k = n3

zz 3 jaxs iQydksa okys ?kuksa dh la[;k = 8zz 2 jaxs iQydksa okys ?kuksa dh la[;k = (n – 2) × 12zz 1 jaxs iQyd okys ?kuksa dh la[;k = (n – 2)2 × 6zz jaxghu iQydksa okys@vkarfjd ?kuksa dh la[;k = (n – 2)3

nwljhfofèk%

2 lseh-

2 lseh-2 l

seh-2 l

seh-

8 lseh-

?kudk[kqykgqvk:i

1. NksVs ?kuksa dh dqy la[;k = 4 × 4 × 4 = 64

2. rhu jaxhu iQydksa okys ?ku dsoy dksus ij gksrs gSa ftUgsa

:i esa n'kkZ;k x;k gS] fp=k esa ,sls 7 NksVs ?ku rks fn[k jgs gSa

tcfd 1 ?ku ihNs dh vksj fNi x;k gSA bls ge bl izdkj ls

Hkh dg ldrs gSa ^lkeus ds 4 ?ku* vkSj ^ihNs ds pkj ?ku*

vFkkZr~ ,sls dqy 8 ?ku gSaA

?ku rFkk ?kukHk(Cube & Cuboid)5

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bl vè;k; esa ge ?kfM+;ksa ij vkèkkfjr iz'uksa dks gy djuk lh[ksaxs vkSj mudk vH;kl djsaxsA cgqr&lh izfr;ksxh ijh{kkvksa esa bu ij fHkUu&fHkUu izdkj ls iz'u iwNs tkrs gSaA

lkekU;r% ?kfM+;k¡ nks izdkj dh gksrh gSa& ,ukykWx vkSj fMftVyA fMftVy ?kM+h esa la[;kvksa ds nks lewg&?kaVk vkSj feuV] ,d dkWye ls foHkkftr gksrs gSa vkSj le; lwfpr djrs jgrs gSaA ,ukykWx ?kM+h esa

1 ls 12 rd la[;k,¡ vafdr gksrh gSaA blesa lkekU;r% ^?kaVs* vkSj ^feuV* dh nks lwb;k¡ gksrh gSaA ?kaVs dh lwbZ NksVh gksrh gS vkSj feuV

dh lwbZ cM+h dqN ,ukykWx ?kfM+;ksa esa lsdsaM dh lwbZ Hkh gksrh gSA ge

;gk¡ ,ukykWx ij vkèkkfjr iz'uksa dks lh[ksaxsA

12 12

34

5678

910

11

?kaVs dh lwbZ (NksVh lwbZ)

feuV dh lwbZ (cM+h lwbZ)

bl ?kM+h dh ifjfèk dks 12 cjkcj Hkkxksa esa foHkkftr fd;k x;k

gS] ftls ?kaVk varjky dgrs gSaA fiQj izR;sd ?kaVs dks 5 cjkcj miHkkxksa esa foHkkftr fd;k x;k gS] ftls feuV varjky dgrs gSaA bl izdkj

?kM+h dh iwjh ifjfèk 12 × 5 = 60 cjkcj feuV varjky esa foHkkftr gSA

dqN egÙoiw.kZ rF;

1. feuV dh lwbZ o`Ùkkdkj iFk ij ,d ?kaVs esa ,d pDdj iwjk djrh gS vFkkZr~

1 ?kaVs esa feuV dh lwbZ 360° dk dks.k cukrh gSA

⇒ 60 feuV esa feuV dh lwbZ 360° dk dks.k cukrh gSA

∴ 1 feuV esa feuV dh lwbZ 36060

= 6° dk dks.k cuk,xhA

vFkkZr~ feuV varjky ds chp dh nwjh 6° dks.k gSA

2. ?kaVs dh lwbZ o`Ùkkdkj iFk ij 12 ?kaVs esa ,d pDdj iwjk djrh

gS vFkkZr~

12 ?kaVs esa ?kaVs dh lwbZ 360° dk dks.k cukrh gSA

⇒ 1 ?kaVs esa ?kaVs dh lwbZ 36012

= 30° dk dks.k cuk,xhA

vFkkZr~ ?kaVs varjky ds chp dh nwjh 30° dks.k gSA

?kaVs dh lwbZ 60 feuV esa 30° dks.k cukrh gSA

∴ ?kaVs dh lwbZ ,d feuV esa 30 160 2

°= dks.k cuk,xhA

3. feuV dh lwbZ ,d feuV esa 6° ?kwerh gS tcfd ?kaVs dh lwbZ

,d feuV esa 12°?kwerh gSA

nksuksa ds chp vHkh"V varj = 6 – 12

= 112°

4. tc nksuksa lwb;ksa ds chp dh nwjh 0° gksrh gS] rks os laikrh (Coincident) gksrh gSaA izR;sd ?kaVs nksuksa lwb;k¡ dsoy ,d ckj laikrh gksrh gSA ijarq 11&12 vkSj 12&1 ds chp ,slk ugha gksrk gS] D;ksafd ;g ?kVuk ,d gh LFkku ij ?kfVr gksrh gS] blfy;s ;gk¡ nks ckj dh txg ,d gh ckj ,slk gksrk gSA vr% ,d fnu vFkkZr~ 24 ?kaVs esa 22 ckj vkSj 12 ?kaVs esa 11 ckj lwb;k¡ laikrh gksrh gSaA

5. tc nksuksa lwb;k¡ ,d&nwljs ds foijhr gks vFkkZr~ 180° ds dks.k ijA

(a) izR;sd ?kaVs nksuksa lwb;k¡ dsoy ,d ckj ,d&nwljs ds foijhr gksrh gSa ijarq 5&6 cts vkSj 6&7 cts ds chp ,slk nks ckj dh txg ,d gh ckj gksrk gS D;ksafd ?kVuk leku LFkku ij 6 cts ?kfVr gksrh gSA

(b) ,d fnu vFkkZr~ 24 ?kaVs esa lwb;k¡ 22 ckj ,d&nwljs ds foijhr gksrh gSA

6. tc nksuksa lwb;k¡ yacor~ vFkkZr~ 90° ds dks.k ij gksaA

(a) izR;sd ?kaVs nksuksa lwb;k¡ nks ckj ,d&nwljs ds yacor~ gksrh gSa flok; 2&3] 3&4] 8&9 vkSj 9&10 ds chp dks NksM+djA

(b) ,d fnu vFkkZr~ 24 ?kaVs esa nksuksa lwb;k¡ 44 ckj ,d&nwljs ds yacor~ gksrh gSaA

uksV% feuV dh lwbZ ?kaVs dh lwbZ dh rqyuk esa 12 xquk rs”k ?kwerh gSA

mnkgj.k%

1. 12 ctdj 20 feuV ij ,d ?kM+h dh lwb;k¡ fdrus dks.k ij >qdh gqbZ gksaxh\

(a) 120° (b) 115° (c) 110° (d) 105° gy% izFke fofèk%

Bhd 12 cts nksuksa lwb;ksa ds eè; dks.k 0° dk gksxk ysfdu vxys 20 feuV esa feuV okyh lwbZ 20 × 6 = 120° ls ?kwe tk,xh ,oa

blh nkSjku ?kaVs okyh lwbZ 12

× 20 = 10° ls ?kwe tk,xhA

vr% nksuksa lwb;ksa ds eè; dks.k = 120° – 10° = 110°

12 12

34

5678

9

1011

?kfM+;k¡(Clocks)6

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bl vè;k; esa iz'u dbZ izdkj ls iwNs tkrs gS] tSls& fdl frfFk dks dkSu&lk fnu gksxk] fdlh ,d fuf'pr frfFk ds fnu ds vuqlkj vU; frfFk dk fnu fudkyuk bR;kfnA bu lHkh izdkj ds iz'uksa dks ge ;gk¡ gy djuk lh[ksaxsA

dSysaMj fnu] eghuk vkSj o"kZ ds eè; ikjLifjd lacaèk dks iznf'kZr djrk gSA

ge xzsxksfj;u dSysaMj dk vuqlj.k djrs gSa ftldk izFke fnu 01/01/0001 (lkseokj) FkkA

dSysaMj dh bdkb;k¡ fuEufyf[kr gSaµ 1. frfFk 2. fnu 3. lIrkg 4. i[kokM+k 5. ekg 6. o"kZ 1.fnu (Day): 24 ?kaVs dh le;kofèk dks ,d fnu dgrs gSaA 2.lIrkg (Week): 7 fnuksa dh le;kofèk dks ,d lIrkg dgrs gSaA lIrkg ds 7 fnuksa ds uke fuEufyf[kr gSaµ (1) lkseokj (2) eaxyokj (3) cqèkokj (4) xq#okj (c`gLifrokj) (5) 'kqØokj (6) 'kfuokj (7) jfookj 3.i[kokM+k (Fortnight): 15 fnuksa dh le;kofèk dks ,d i[kokM+k

dgrs gSaA 4.frfFk (Date): izR;sd ekg esa 1 ls 28/29/30/31 ds }kjk fuèkkZfjr

vofèk dks frfFk (fnukad) dgrs gSaA 5.ekg (Month): 1 o"kZ esa 12 ekg (eghus) gksrs gSa rFkk izR;sd

ekg esa 28/29/30/31 fnu gksrs gSaA 12 eghuksa ds uke rFkk muesa fnuksa dh la[;k fuEufyf[kr gSµ ekg fnu 1. tuojh 31 fnu 2. iQjojh 28 fnu (lkekU; o"kZ) 29 fnu (yhi o"kZ) 3. ekpZ 31 fnu 4. vizSy 30 fnu 5. ebZ 31 fnu 6. twu 30 fnu 7. tqykbZ 31 fnu 8. vxLr 31 fnu 9. flracj 30 fnu 10. vDrwcj 31 fnu 11. uoacj 30 fnu 12. fnlacj 31 fnu

;kndjusdkljyrjhdk%eqV~Bh dk mBk gqvk Hkkx

31 fnu dks n'kkZrk gS] tcfd èk¡lk gqvk Hkkx 30 fnu dksA viokn :i esa iQjojh ekgA

pj.k1 pj.k2

tuojhekpZebZtqykbZ

iQjojhvizSytwu

vxLr

vDrwcj

fnlacjflracj

uoacj

6.o"kZ (Year): 1 o"kZ esa 12 eghus vkSj 365 fnu (lkekU; o"kZ) ;k 366 fnu (yhi o"kZ) gksrs gSaA

o"kZ

'krkCnh o"kZ

'krkCnh yhi o"kZ

lkekU; 'krkCnh o"kZ

lkekU; o"kZyhi o"kZ

xSj&'krkCnh o"kZ

1.'krkCnho"kZ (Century Year): 100 o"kZ dh le;kofèk dks 'krkCnh o"kZ dgrs gSa vFkkZr~ tks o"kZ 100 ls iw.kZr;k foHkkftr gksrs gSaA tSlsµ 1800, 1900, 1600... bR;kfnA

(a) 'krkCnhyhio"kZ (Century Leap Year): og 'krkCnh o"kZ] tks 400 ls iw.kZr;k foHkkftr gksrs gSa] 'krkCnh yhi o"kZ gksrs gSaA bu o"kks± esa 366 fnu gksrs gSaA

tSlsµ 1200, 1600, 2000... bR;kfnA (b) lkekU;'krkCnho"kZ (Non-Century Leap Year):

os 'krkCnh o"kZ tks 400 ls iw.kZr;k foHkkftr ugha gksrs] lkekU; 'krkCnh o"kZ gksrs gaSA bu o"kks± esa 365 fnu gksrs gSaA tSlsµ 900, 1000, 1100, 1700... bR;kfnA

2.xSj&'krkCnho"kZ (Non-Century Year): os o"kZ tks 100 ls iw.kZr;k foHkkftr ugha gksrs gaS] xSj&'krkCnh o"kZ gksrs gSaA

tSlsµ 1991, 1992, 1993, 1995... bR;kfnA (a) yhio"kZ (Leap Year): os o"kZ tks 4 ls iw.kZr;k foHkkftr

gksrs gSa] yhi o"kZ dgykrs gaSA tSls& 1992, 1996, 2004, 2008... bR;kfnA ,d yhi o"kZ esa 366 fnu gksrs gSaA

3667

= 52 lIrkg + 2 fo"ke fnu ('ks"kiQy)

mBk gqvk Hkkxèk¡lk gqvk Hkkx

dSysaMj(Calendar)7

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bl vè;k; esa gesa fdlh v{kj] vad ;k oLrq dh vkÑfr_ niZ.k esa fdl izdkj fn[kkbZ iM+rh gS] ls lacafèkr iz'uksa dk vH;kl djsaxsA

niZ.k esa fdlh oLrq dh vkÑfr leku :i esa fn[kkbZ iM+rh gS] ysfdu lajpukRed :i ls ik'oZr% foijhr fn[kkbZ iM+rh gS vFkkZr~ ck;k¡ i{k&nk,¡ i{k dh vksj rFkk nk;k¡ i{k&ck,¡ i{k dh vksj fn[kkbZ iM+rk gSA bls ge jks”kejkZ dh f”kanxh ls Hkh le> ldrs gSa] tSls tc ge lery niZ.k ds lkeus [kM+s gksdj cky esa da?kh dj jgs gksrs gSa rks gesa viuh vkÑfr leku fn[kkbZ iM+rh gS] ysfdu ;fn ge da?kh nk,¡ gkFk ls dj jgs gksrs gSa rks niZ.k esa ck,¡ gkFk ls djrs gq, fn[kkbZ iM+rk gSA bldk vFkZ gS fd vkÑfr ik'oZr% (Laterally) foijhr gks tkrh gSA

dqN oLrqvksa dk niZ.k izfrfcac

oLrq niZ.k izfrfcac

1.

2.

3.

4.

o

o

5.

6.

7.

8.

9.

uksV% mi;qZDr fp=kksa esa fp=k la[;k 7] 8 vkSj 9 dk izfrfcac leku :i esa fn[kkbZ iM+ jgk gS] D;ksafd ;g nksuksa vksj ls leku gSA

vaxzs”kh o.kZekyk ds cM+s v{kjksa dk niZ.k izfrfcac

v{kj A B C D E F G

niZ.k izfrfcac A B C D E F G

v{kj H I J K L M N

niZ.k izfrfcac H I J K L M N

v{kj O P Q R S T U

niZ.k izfrfcac O P Q R S T U

v{kj V W X Y Z

niZ.k izfrfcac V W X Y Z

uksV% vaxzs”kh o.kZekyk ds 26 v{kjksa esa ls 11 v{kj niZ.k esa leku :i esa fn[kkbZ iM+rs gSa] os v{kj gSa& A, H, I, M, O, T, U, V, W, X, Y

vaxzs”kh o.kZekyk ds NksVs v{kjksa dk niZ.k izfrfcac

v{kj a b c d e f g

niZ.k izfrfcac a b c d e f g

v{kj h i j k l m n

niZ.k izfrfcac h i j k l m n

v{kj o p q r s t u

niZ.k izfrfcac o p q r s t u

v{kj v w x y z

niZ.k izfrfcac v w x y z

niZ.k izfrfcac(Mirror Images)8

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bl vè;k; esa ge fdlh oLrq] v{kj] vad bR;kfn dk izfrfcac ty esa fdl izdkj fn[kkbZ iM+rk gS] ls lacafèkr iz'uksa dk vH;kl djsaxsA

fdlh oLrq] v{kj vFkok vad ds ty izfrfcac esa Åij dk fgLlk uhps dh vksj rFkk uhps dk fgLlk Åij dh vksj fn[kkbZ iM+rk gS] tcfd ck;k¡ vkSj nk;k¡ leku :i esa jgrk gSA niZ.k izfrfcac ls blesa Bhd mYVk gksrk gSA è;krO; gS fd niZ.k izfrfcac esa Åij vkSj uhps dk fgLlk leku jgrk gS rFkk ck;k¡ vkSj nk;k¡ fgLlk vkil esa cny tkrs gSaA

nh xbZ vkÑfr esa dkSos dh pksap uhps dh vksj gS] tcfd ty izfrfcac esa dkSos dh pksap Åij dh vksj fn[kkbZ ns jgh gSA vkb;s ,d vkSj mnkgj.k ns[krs gSa&

dqN fp=kksa dk ty izfrfcac fp=k ty izfrfcac

1.

2.

3.

4.

5.

6.

7.

8.

9. ??

??

10.

vaxzs”kh o.kZekyk ds cM+s v{kjksa dk ty izfrfcac

v{kj A B C D E F G Hty izfrfcac

A B C D E F G H

v{kj I J K L M N O Pty izfrfcac

I J K L M N O P

v{kj Q R S T U V W Xty izfrfcac

Q R S T U V W X

v{kj Y Zty izfrfcac

Y Z

vaxzsth o.kZekyk ds NksVs v{kjksa dk ty izfrfcac

v{kj a b c d e f g hty izfrfcac

a b c d e f g h

v{kj i j k l m n o pty izfrfcac

i j k l m n o p

v{kj q r s t u v w xty izfrfcac

q r s t u v w x

v{kj y zty izfrfcac

y z

ty izfrfcac(Water Images)9

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layXu vkjs[k esa iz'u vkÑfr fn;s x, fodYiksa esa ls fdlh ,d esa fufgr ;k fNih gqbZ gksrh gS vFkok fn;s x, fodYiksa esa ls fdlh ,d fodYi dh vkÑfr iz'u vkÑfr esa fNih gksrh gSA

bl vè;k; esa ge blh ls lacafèkr iz'uksa dk vH;kl djsaxsA iz'u dks gy djus ds fy;s iz'u vkÑfr vkSj mÙkj vkÑfr;ksa dk è;kuiwoZd voyksdu djuk vko';d gSA

mnkgj.k% 1. nh xbZ mÙkj vkÑfr;ksa esa ls ml mÙkj vkÑfr dks pqfu;s] ftlesa

iz'u vkÑfr fufgr gSA iz'u vkÑfr%

mÙkj vkÑfr;k¡%

(a) (b) (c) (d) gy% bl vkÑfr esa cksYM Hkkx iz'u vkÑfr dks n'kkZ

jgk gSA iz'u vkÑfr fodYi (c) esa fNih gqbZ@fufgr gSA

2. nh xbZ mÙkj vkÑfr;ksa esa ls ml mÙkj vkÑfr dks pqfu;s] tks iz'u vkÑfr esa fufgr@fNih gqbZ gSA

iz'u vkÑfr%

mÙkj vkÑfr;k¡%

(a) (b) (c) (d) gy% ;g iz'u fiNys okys iz'u ds Bhd foijhr gSA fiNys iz'u esa

iz'u vkÑfr dks mÙkj vkÑfr;ksa esa <w¡<+uk FkkA bl iz'u esa mÙkj vkÑfr;ksa esa ls dkSu&lh vkÑfr iz'u vkÑfr esa fufgr gS] dks <¡w<+uk gSA

fn;s x, fodYiksa esa ls dsoy fodYi (b) dh vkÑfr iz'u

vkÑfr esa fufgr@fNih gqbZ gSA cksYM Hkkx fodYi (b) dks n'kkZ jgk gSA

vH;kl iz'u

funsZ'k (iz-la- 1 – 45): nh xbZ mÙkj vkÑfr;ksa esa ls ml mÙkj vkÑfr dks pqfu;s ftlesa iz'u vkÑfr fufgr gSA 1. iz'u vkÑfr%

mÙkj vkÑfr;k¡%

(a) (b) (c) (d) 2. iz'u vkÑfr%

mÙkj vkÑfr;k¡%

(a) (b) (c) (d)

3. iz'u vkÑfr%

mÙkj vkÑfr;k¡%

(a) (b) (c) (d)

layXu vkjs[k(Embedded Figures)10

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bl vè;k; esa ge dkxt dks eksM+dj ,oa mls dqN LFkkuksa ls dkVdj [kksyus ij fdl izdkj dh vkÑfr cusxh] dkxt dks eksM+us ls cuus okyh vkÑfr vkSj dkxt dks VqdM+ksa esa ck¡Vuk ;k VqdM+ksa dks feykdj cuus okyh vkÑfr ls lacafèkr iz'uksa dks gy djuk lh[ksaxs vkSj mudk vH;kl djsaxsA

bl rjg ds iz'uksa dks gy djus dh dksbZ fuf'pr fofèk ugha gksrhA bUgsa dYiuk ds ekè;e ls gh gy djuk pkfg;sA ,sls iz'uksa dks gy djus ds fy;s budk vPNh rjg voyksdu djuk pkfg;s rFkk fn;s x, fodYiksa esa ls xyr fodYi dks Nk¡Vdj lgh fodYi pquuk pkfg;sA

mnkgj.k %

1.nh xbZ iz'u vkÑfr esa dkxt dks eksM+dj dkVus vkSj [kksyus ds ckn og fdl mÙkj vkÑfr tSlk fn[kkbZ nsxk\

iz'uvkÑfr%

mÙkjvkÑfr;k¡%

(a) (b) (c) (d)gy%nh xbZ iz'u vkÑfr esa ,d oxZ dks eksM+dj ,d NksVk oxZ

cuk;k x;k gS vkSj mlesa pkj NksVs vèkZo`Ùk dkVs x, gSaA bu vèkZo`Ùkksa dks [kksyus ij iwjk o`Ùk cu tk,xkA ftl izdkj ls eksM+k x;k gS ;fn mlh izdkj ls ge mls [kksys rks lgh vkÑfr fudky ldrs gSaA ;fn ge fodYi ij tk,¡ rks fodYi (d) xyr gS D;ksafd mlesa o`Ùkksa ds LFkku esa HkVdko gSA fodYi (c) esa o`Ùk dh la[;k de gS vkSj LFkku ls vyx gSA fodYi (a) xyr gS D;ksafd blessa iwjs&iwjs o`Ùk dks feyk;k x;k gS vkSj chp okyh {kSfrt js[kk ij o`Ùk xyr <ax ls gSA ;fn fodYi (b) dks ns[ksa rks ;g iz'u vkÑfr dks [kksyus ij cuh vkÑfr dk lgh izfr:i gSA vr% lgh fodYi (b) gSA

2.,d dkxt ds VqdM+s dk iz'u fp=k esa fn[kk, x, vuqlkj eksM+k

tkrk gSA bls [kksyus ij nh xbZ pkj mÙkj vkÑfr;ksa esa ls og fdl vkÑfr tSlk fn[kkbZ nsxk\

iz'uvkÑfr;k¡%

mÙkjvkÑfr;k¡%

(a) (b) (c) (d)gy%;fn ge iz'u vkÑfr ds vafre fp=k dks ysdj mlh izdkj

[kksys ftl izdkj ls bls eksM+k x;k Fkk rks ge vkÑfr ds lgh izfr:i dh dYiuk dj ldrs gSaA fn;s x, fodYiksa esa ls fodYi (a), (b) vkSj (d) xyr gSa D;ksafd ;s fp=k dh eksM+h xbZ vkÑfr ls fHkUu gSaA vr% lgh fodYi (c) gSA

3.nh xbZ iz'u vkÑfr esa dVs gq, VqdM+ksa ls mÙkj vkÑfr;ksa esa ls

dkSu&lh vkÑfr cukbZ tk ldrh gS\ iz'uvkÑfr%

mÙkjvkÑfr;k¡%

(a) (b) (c) (d)gy%bl iz'u esa fn;s x, pkj fodYiksa esa ls fdlh ,d dh vkÑfr dks

dkVdj vkSj ?kqekdj iz'u vkÑfr cukbZ xbZ gSA gesa iz'u vkÑfr ls cuus okyh lgh mÙkj vkÑfr dk irk yxkuk gSA iz'u vkÑfr esa pkj VqdM+s gSa vkSj lHkh mÙkj vkÑfr;k¡ dks Hkh pkj Hkkxksa esa foHkkftr fd;k x;k gS] blfy;s bl vkèkkj ij fdlh Hkh fodYi dks ckgj ugha fd;k tk ldrk gSA ijarq fodYi (d) esa rhu f=kHkqt gSa vkSj ,d prqHkqZTk tcfd iz'u vkÑfr esa nks f=kHkqt vkSj nks prqHkqZt gSaA blfy;s ;g fodYi xyr gSA vkdkj ds vuqlkj fodYi (c) xyr gSA fodYi (a) vkSj (b) esa dkiQh gn rd lekurk gS ijarq fodYi (a) dh nk;ha vksj ds f=kHkqt vkSj prqHkqZt iz'u vkÑfr ls fHkUu gSaA vr% lgh fodYi (b) gSA

dkxt+ dks dkVuk] tksM+uk vkSj eksM+uk(Paper Cutting, Adding and Folding)12

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bl vè;k; esa ge nh xbZ fefJr vkÑfr esa fdlh [kkl vkÑfr tSls& f=kHkqt] vk;r] oxZ] leprqHkqZt vkfn dh la[;k dks fxuuk lh[ksaxsA bl izdkj osQ iz'uksa dks gy djus osQ fy;s fp=kksa dk lHkh fn'kk ls vPNh rjg voyksdu djuk vkSj Øfed :Ik ls vkÑfr;ksa dh la[;k dks fxuuk gksrk gSA

mnkgj.k% 1. uhps fn;s x, fp=k esa fdrus f=kHkqt gSa\

(a) 10 (b) 9 (c) 12 (d) 7gy%izFkefofèk%

1 2

35

4

osQoy ,d vkÑfr ls fudyus okys f=kHkqt& 1, 2, 3, 4, 5 la[;k = 5 nks vkÑfr dks feykdj cuus okys f=kHkqt& (1 + 3), (2 + 4),

(3 + 5), (4 + 5) la[;k = 4 rhu vkÑfr dks feykdj cuus okys f=kHkqt& (1 + 2 + 4),

(1 + 2 + 3) la[;k = 2rhu ls vfèkd vkÑfr dks feykdj cuus okys f=kHkqt& (1 + 2 + 4 + 5 + 3) la[;k = 1 oqQy la[;k = 5 + 4 + 2 + 1 = 12f}rh;fofèk% fn;s x, fp=k esa f=kHkqt gS& ADF, AEF, DFB,

BFC, EFC, AFB, AFC, BEC, DBC, ABE, ACD, ABCA

E

F

D

CBoqQy la[;k = 12vr% lgh fodYi (c) gSA

2.uhps fn;s x, fp=k esa oqQy o`Ùkksa dh la[;k D;k gksxh\

(a) 13 (b) 12 (c) 11 (d) 10gy%

a b c d

e

i

f

j

g

k

h

l

osQoy ,d vkÑfr ls fudyus okys o`Ùk a, b, c, d, e, f, g, h, i, j, k, l gSa] pw¡fd blesa ,d ls vfèkd o`Ùk dks feykdj ;k vU; vkSj fdlh izdkj ls o`Ùk ugha cu jgs gSaA

blfy;s o`Ùkksa dh oqQy la[;k = 12 vr% lgh fodYi (b) gSA 3.

mi;qZDr fp=k esa fdrus oxZ gSa\ (a) 12 (b) 11 (c) 10 (d) 9gy% a

bc

d

gh

i le

f kj m

n

oxZ gSa& (a + b), (c + d), (e + f), (h + i), (j + k), (m + n), (b + c + g + h), (i + j + l + m), (d + c + h + i + j + k + f + e)

oxks± dh oqQy la[;k = 9 vr% lgh fodYi (d) gSA

fp=ksa dks fxuuk(Counting of Figures)13

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fo'ys"k.kkRed rdZ'kfDr dk ifjp; (Introduction to Analytical Reasoning)

1- dFku vkSj rdZ (Statements and Arguments)

2- dFku vkSj iwoZ/kkj.kk,¡ (Statements and Assumptions)

3- dFku vkSj fu"d"kZ (Statements and Conclusions)

4- dFku vkSj dk;Zokgh (Statements and Courses of Action)

5- vfHkdFku vkSj dkj.k (Assertions and Reasons)

6- dkj.k rFkk izHkko (Causes and Effects)

[kaM&3fo'ys"k.kkRed rdZ'kfDr Analytical Reasoning

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rk£dd dFku] rdZ'kfDr ds ekSfyd rÙo gksrs gSa vkSj

fo'ys"k.kkRed rdZ] rk£dd fo'ys"k.k ds eq[; vo;oA iz'kklu esa

izf'k{k.k] ewyHkwr rk£dd dkS'ky ds ewy fl¼kar ij vkèkkfjr gksrk gSA

,d iz'kkld dks rdks± dk fo'ys"k.k] ewY;kadu] fuekZ.k vkSj [kaMu

djuk vkuk gh pkfg;sA ,d iz'kkld dks bl ckr dks igpkuus esa

l{ke gksuk vko';d gS fd fdlh fo"k; vFkok rdZ ds fy;s dkSu&lh

lwpuk izklafxd gS rFkk Hkkoh lk{;ksa dk D;k izHkko gks ldrk gSA muds

fy;s fojksèkh i{kksa esa lkeatL; LFkkfir djuk vkSj nwljksa dks le>kus

ds fy;s rdks± dk iz;ksx djuk vko';d gSA

fo'ys"k.kkRed rdZ'kfDr ds iz'u fo'ys"k.k] lekykspukRed

ewY;kadu vkSj iw.kZ rdZ dh {kerk dk ewY;kadu djrs gSa] D;ksafd os

lkèkkj.k Hkk"kk esa gh gksrs gSaA ;s iz'u lekpkj i=k] lkekU; #fp dh

if=kdkvksa] oSKkfud izdk'kuksa] foKkiuksa vkSj vukSipkfjd ckrphr tSls

fofoèk lzksrksa ls izkIr rdks± ij vkèkkfjr gksrs gSaA

fo'ys"k.kkRed rdZ'kfDr esa ,sls iz'u rS;kj fd;s tkrs gSa] tks

lekykspukRed <ax ls lkspus ds fofHkUu dkS'kyksa dk ewY;kadu djrs

gSa vkSj ftudk eq[; cy fo'ys"k.kkRed rdZ'kfDr ds eq[; dkS'ky

ij gksrk gSA

bu dkS'kyksa esa 'kkfey gksrs gSa%

zz fdlh rk£dd dFku ds fofHkUu rÙoksa ,oa muds lacaèkksa dks

igpkuukA

zz rdZ'kfDr ds fofHkUu Lo:iksa ds chp lekurk,¡ ,oa fHkUurk,¡

igpkuukA

zz ;Fkksfpr lefFkZr fu"d"kZ fudkyukA

zz vuq:irk@le:irk }kjk rk£dd foospuA

zz xyriQgfe;ksa vFkok vlgefr ds fcanqvksa dks igpkuukA

zz bl ckr dks lqfuf'pr djuk fd vfrfjDr lk{;] fdlh rk£dd

dFku dks fdl izdkj izHkkfor djrs gSaA

zz fdlh rk£dd dFku }kjk tfur ekU;rkvksa dks [kkst fudkyukA

zz fl¼karksa vFkok fu;eksa dks igpkuuk vkSj ykxw djukA

zz rk£dd dFkuksa esa fo|eku =kqfV;k¡ igpkuukA

zz Li"Vhdj.kksa dks igpkuukA

fo'ys"k.kkRed rdZ'kfDr ds iz'uksa ds izdkj%

zz iwoZèkkj.kk (Assumption)

zz viq"Vdkjh@iq"Vdkjh (Weaken/Strengthen)

zz fu"d"kkZRed (Conclusion)

zz rdZ fofèk (Method of Argument)

zz fl¼kar (Principle)

zz fookn fcanq (Point of Contention)

zz rF; dh Hkwfedk (Role of Fact)

zz =kqfV (Flaw)

zz fojksèkkHkkl (Paradox)

zz lekukarj lajpuk (Parallel Structure)

vkb;s ç'uksa ds fofHkUu çdkjksa dks foLrkj :i esa le>rs gSaA

iwoZèkkj.kk

iwoZèkkj.kk vkèkkfjr iz'uksa esa fdlh mRizsjd rk£dd dFku ds rdZ

esa yqIr dM+h dks igpkuus ds fy;s dgk tkrk gSA

dqN mnkgj.k Lo:i iz'ukèkkj bl izdkj gSaµ

1. fuEufyf[kr esa ls dkSu&lk rdZ] ;fn eku fy;k tk,] dFku

dk fu"d"kZ iw.kZ :i ls fudkyus esa lgk;d gksxk\

2. fuEufyf[kr esa ls dkSu&lh og iwoZèkkj.kk gS] ftl ij dFku

fuHkZj djrk gS\

3. fuEufyf[kr esa ls fdls eku fy;k tk, rks mi;qZDr vafre fu"d"kZ

rk£dd :i ls lgh gksxk\

4. mi;qZDr dFku esa vkfèkdkfjd :i ls fd;k x;k nkok bl iwoZ

dYiuk ij fuHkZj djsxk fd

5. fuEufyf[kr esa ls dkSu&lh ,d iwoZèkkj.kk gS] ftl ij rdZ fuHkZj

djrk gS\

viq"Vdkjh

1- fuEufyf[kr esa ls dkSu&lk fodYi] ;fn lgh gks] mi;qZDr dFku

dks lokZfèkd viq"V djsxk\

2- ifjPNsn ds var esa dh xbZ Hkfo";ok.kh lokZfèkd xaHkhj loky

[kM+k djsxh] ;fn ;g lR; gks fd&

3- fuEufyf[kr esa ls dkSu&lk fodYi] ;fn lR; gks] vuqlaèkkudrkZ

ds dFku dks lokZfèkd iq"V djsxk\

fo'ys"k.kkRed rdZ'kfDr dk ifjp;(Introduction to Analytical Reasoning)

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fo'ys"k.kkRed rdZ'kfDr dk ifjp; jhT+kfuax

2- x|ka'k ds igys okD; esa fd;k x;k nkok fn;s x, rdZ esa fuEufyf[kr esa ls dkSu&lh Hkwfedk fuHkkrk gS\

3- fuEufyf[kr esa ls dkSu x|ka'k esa fn;s x, bl nkos dh lVhd O;k[;k djrk gS fd ijek.kq ce foèoald gksrs gSa\

=kqfV

bu iz'uksa esa vkils vfHkizsjd rdZ esa rdZ lacaèkh =kqfV [kkstus dh vis{kk dh tkrh gSA

mnkgj.kkFkZ dqN iz'ukèkkj fuEu gSa%

1- buesa ls dkSu] ;fn lR; gS rks izksxzke ds fy;s ;kstuk esa =kqfV dh igpku djrk gS\

2- bl rdZ dh vkykspuk djuk bl vkèkkj ij csgn ljy gS fd rdZ-------

3- mi;qZDr rdZ'kfDr ij blfy;s iz'ufpÉ yxrk gS] D;ksafd ;g ml laHkkouk dks i`Fko~Q djus esa vliQy gS fd----

4- jktuhfrK ds rdZ&fordks± esa =kqfV gS] D;ksafd ;g rdZ--

fojksèkkHkklh

fojksèkkHkkl rc mRiUu gksrk gS] tc vkidks nks ,sls dFku fn;s tkrs gSa] tks nksuksa gh lR; gksa] fiQj Hkh os ns[kus esa fojksèkkHkklh izrhr gksrs gksaA tks fof'k"V 'kCn (Key Words) fojksèkkHkkl dh igpku djus ds fy;s iz'ukèkkj essa fn;s tkrs gSa] os izk;% ^of.kZr (O;k[;k)* vkSj ^lekèkku (lkeatL;)* tSls 'kCn gksrs gSaA

mnkgj.kkFkZ dqN iz'ukèkkj fuEu gSa%

1- fuEufyf[kr esa ls dkSu] ;fn lR; gS rks] bl ckr dh O;k[;k djus esa lokZfèkd ennxkj gS fd mYysf[kr O;fDr viQhe mxkus esa layXu D;ksa gS\

2- fuEufyf[kr esa ls dkSu] ;fn lR; gS rks] 'kksèk ls izkIr ifj.kkeksa

dh O;k[;k djus esa lokZfèkd ennxkj gS\

3- fuEufyf[kr esa ls dkSu] ;fn lR; gS rks] mi;qZDr fn;s x, dFkuksa

dk lekèkku djrk gS\

4- fuEufyf[kr esa ls dkSu] ;fn lR; gS rks] mi;qZDr of.kZr iz.kkyh

esa izrhr gks jgs fojksèkkHkkl dk vfèkdre lekèkku djrk gS\

lekukarj lajpuk

bl izdkj ds iz'uksa esa vkils nks ,sls rdks± dk feyku djus dks

dgk tkrk gS] ftudh vkèkkjHkwr lajpuk yxHkx leku gksrh gSA izk;%

fo'ys"k.kkRed rdZ'kfDr ds izR;sd [kaM esa lekukarj lajpuk okys nks

iz'u gksrs gSaA

mnkgj.kkFkZ dqN iz'ukèkkj fuEu gSa%

1- fuEufyf[kr esa ls dkSu&lk rdZ rk£dd fo'ys"k.k esa mi;qZDr

rdZ ls lokZfèkd lekurk j[krk gS\

2- fuEufyf[kr rdks± esa ls og =kqfV;qDr rk£dd fo'ys"k.k] tks

lokZfèkd :i ls izkè;kid ds =kqfV;qDr rk£dd fo'ys"k.k ds

yxHkx leku gS\

3- fuEufyf[kr esa ls dkSu mi;qZDr rdZ esa fn;s rk£dd fo'ys"k.k

ds lekukarj gS\

4- mi;qZDr rdZ esa fn;s x, rk£dd fo'ys"k.k dk =kqfViw.kZ :i

fuEufyf[kr esa ls yxHkx fdlds leku gS\

5- fuEufyf[kr esa ls dkSu mi;qZDr rdZ esa fn;s lansgkLin rk£dd

fo'ys"k.k ls yxHkx lekurk j[krk gS\

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dFku (Statement)

fdlh Hkh fo"k; ds lanHkZ esa nh xbZ vfHkO;fDr dks dFku dgrs gSaA dFku ,d izdkj dh fØ;k gS] ftlesa fdlh Hkh okrkZyki dks izR;{k&dFku ;k vizR;{k&dFku esa :ikarfjr fd;k tk ldrk gSA

izR;{k dFkutc oDrk vkSj Jksrk ds eè; lhèkk okrkZyki gks rks bl izfØ;k

esa iz;qDr dFkuksa dks izR;{k dFku dgk tkrk gSA tSls& izf'k{kd us f[kykfM+;ksa ls dgk fd ¶eSnku xhyk gS] bl dkj.k vH;kl jnn~ fd;k tkrk gSA¸

vizR;{k dFkutc oDrk vkSj Jksrk ds eè; lhèkk okrkZyki u gks rks bl izfØ;k

esa iz;qDr dFkuksa dks vizR;{k dFku dgk tkrk gS tSls& dfiy us jes'k ls dgk fd dfj'ek cgqr vfèkd Hkkx nkSM+ dh ftanxh fcrk jgh gS] ftlds dkj.k og vfr ruko esa jgrh gSA

rdZ (Argument)

nks ;k nks ls vfèkd okD;ka'kksa] [kaMkas] okD;ksa ;k dFkuksa ds oSls Øe dks ^rdZ* dgrs gSa] ftlesa vfèkdkj izfriknu ;k fu"d"kZ 'kkfey gksrs gSaA ;g fu"d"kZ dFkuksa dk rkfdZd fo'ys"k.k gksrk gS] tks rkfdZdrkuqlkj dFku ls izR;{kr% ;k ijks{k :i ls tqM+k gksrk gSA

rdZ fLFkfr ;k 'krZ ij fuHkZj djrk gS fd og èkukRed gksxk ;k ½.kkRedA

bl vè;k; esa ;g ijh{k.k fd;k tkrk gS fd dFku ls lacafèkr rdZ e”kcwr gS vFkok de”kksjA

e”kcwr rdZ (Strong Argument) egÙoiw.kZ ,oa lhèks iz'u ls lacafèkr gksrs gSaA de”kksj rdZ (Weak Arguments) esa ekewyh egÙo dh ckrsa gksrh gSa vkSj bUgsa lhèks iz'u ls lacafèkr ugha fd;k tk ldrkA ;s iz'u ds rqPN igyw ls lacafèkr gksrs gSaA uhps dqN rdZ ds izdkj fn;s tk jgs gaS] ftUgsa lhèks&lhèks ge ^de”kksj rdZ* dg ldrs gSaA (a) vLi"V rdZ (Ambiguous Argument): bl izdkj ds rdZ

lansgkLin] ,oa vleatl iSnk djus okys gksrs gaSA buesa ;g Li"V ugha gksrk gS fd rdZ] dkjZokbZ ls fdl izdkj lacafèkr gSa] tSls&

dFku% thou vewY; gSA bls rqPN ckrksa ds fy;s ugha R;kxuk pkfg;sA

rdZ% ugha] thou esa dqN ewY;oku dk;Z djus pkfg;s vU;Fkk thou dk vFkZ gh D;k jgsxkA

mi;qZDr rdZ esa dgh xbZ ckr fdl izdkj dFku ls lacafèkr gS] ;g Li"V ugha gSA rdZ ls dsoy ,d vU; fopkj ;k er dh iqf"V gksrh gSA vr% rdZ de”kksj gSA

(b) lkekU; rdZ (Simple Argument): bl izdkj ds rdZ viuh izÑfr esa lkekU; rdZ gksrs gSa D;ksafd bUgsa e”kcwrh iznku djus ds fy;s vko';d rF; ;k LFkkfir èkkj.kk ;k fopkj dh deh gksrh gSA tSls&

dFku% thou ekSt&eLrh ls izlUurk ds lkFk thuk pkfg;sA

rdZ% ugha] ;g èkkj.kk ges'kk lR; ugha gksrh gSA

mi;qZDr rdZ lkekU; rdZ gS] D;ksafd rdZ dks e”kcwrh iznku djus gsrq vko';d rF; ;k e”kcwr fopkj dk vHkko gSA vr% rdZ de”kksj gSA

(c) vuqi;ksxh rdZ (Superfluous Argument): bl izdkj ds rdZ vuqi;ksxh gksrs gSa] D;ksafd buesa xgjkbZ rd fo'ys"k.k dk vHkko gksrk gSA ;s ek=k mQijh Lrj dh ckrksa dks gh iznf'kZr djrs gSaA tSls&

dFku% ioksZRlo dks ikVhZ mRlo ls ojh;rk nh tkuh pkfg;sA

rdZ% ugha] nksuksa mRloksa ds vius&vius vPNs rFkk cqjs fcanq gSaA

mi;qZDr rdZ esa dksbZ e”kcwr fo'ys"k.k ugha fn;k x;k gSA dsoy Fkhe ij vkèkkfjr jk; nh xbZ gSA vr% rdZ de”kksj gSA

(d) iz'uokpd rdZ (Questioned Argument): bl izdkj ds iz'uksa esa izk;% dFku esa fn;s x, iz'u ds mÙkj esa iz'u ds :i esa gh rdZ fn;s tkrs gSa] ftuesa iwjh tkudkjh vFkok rdZ djus dh rduhdh dk vHkko jgrk gSA tSls&

dFku% D;k vesfjdk esa eqfLyeksa ds izos'k ij ikcanh yxkuh pkfg;s\

rdZ% gk¡] D;ksa ugha\

mi;qZDr rdZ esa ,d viw.kZ iz'u fd;k x;k gSA vr% fn;k x;k rdZ de”kksj gSA

gy djus ds rjhds% rdZ e”kcwr gS ;k de”kksj] bldh tk¡p djus ds fy;s uhps fofHkUu pj.k fn;s tk jgs gSaA

pj.k&1. rdZ dh izÑfr

blds varxZr ge ;g Kkr djrs gSa fd dFku ds vkyksd esa fn;k x;k rdZ fdl izdkj dk gSA ;fn rdZ fn;s x, rdZ ds izdkjksa esa ls dksbZ ,d gksrk gS rks ;g lhèks&lhèks de”kksj rdZ gksrk gS vU;Fkk pj.k&2 ds vuqlkj Kkr djsaxsA tSls&

dFku% le; ls dk;Z djus esa lHkh dk iQk;nk gksrk gSA

rdZ% le; cgqewY; gSA

mi;qZDr rdZ vLi"V rdZ gS] D;ksafd blesa Li"V ugha gS fd rdZ dk;Zokgh ls fdl izdkj lacafèkr gSA

dFku vkSj rdZ(Statements and Arguments)1

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dFku vkSj rdZn`fÔ ifCydsÓkUl

(a) dsoy I e”kcwr gSA (b) dsoy I vkSj III e”kcwr gSaA (c) dsoy III vkSj IV e”kcwr gSaA (d) buesa ls dksbZ ughaA 28. dFku% D;k lrr~ fodkl dh lhek,¡ orZeku ih<+h ds fy;s

U;k;laxr gSa\ rdZ% I. gk¡] D;ksafd i`Foh dks vkus okyh ih<+h ds fy;s mlh :i esa

cpkdj j[kuk gS] ftl :i esa gesa feyh gSA II. ugha] blls fodkl dh o`f¼ nj izHkkfor gksrh gS] tks lH;rk

dks vkSj vkxs ys tkus esa lgk;d ugha gSA III. gk¡] D;ksafd orZeku ih<+h fodkl ds fy;s fdl gn rd

tkus dks rS;kj gS] bldk vkHkkl mudks ugha gSA (a) dsoy I e”kcwr gSA (b) dsoy I vkSj III e”kcwr gSaA (c) dsoy III e”kcwr gSaA (d) mi;qZDr lHkhA 29. dFku% D;k Hkkjr }kjk j{kk {ks=k esa futh {ks=kksa ds fy;s fuos'k

ds njok”ks iwjh rjg ls [kksy nsus pkfg;s\ rdZ% I. ugha] Hkkjrh; j{kk {ks=k dks futh {ks=kksa ds fy;s [kksyus ls

lqj{kk esa pwd gks ldrh gSA II. gk¡] blls izfrLièkkZ c<+sxh vkSj mRiknu dh xq.koÙkk mRÑ"V

gksxhA III. ugha] ,slk djuk iwathokn dks c<+kok nsuk gS] ftlls Hkkjrh;

fgrksa dks uqdlku igq¡p ldrk gSA (a) dsoy I e”kcwr gSA (b) dsoy II e”kcwr gSA (c) dsoy I vkSj II e”kcwr gSaA (d) I, II vkSj III e”kcwr gSaA 30. dFku% D;k baVjusV ij vko';drk ls vfèkd fuHkZjrk gekjh

viuh xq.koÙkk dks izHkkfor djrh gS\ rdZ% I. ugha] ;g gesa dk;ks± dks liQyrkiwoZd laikfnr djus esa enn

djrk gSA II. gk¡] D;ksafd blls nh?kZdky esa gekjh viuh uokpkj dh {kerk

dk ßkl gksrk gSA III. ugha] ;g ,d Ñf=ke midj.k gS] tks euq"; ds rduhdh

Kku }kjk lapkfyr gksrk gSA

(a) dsoy I e”kcwr gSA (b) dsoy I vkSj III e”kcwr gSaA (c) dsoy II vkSj III e”kcwr gSaA (d) buesa ls dksbZ ughaA 31. dFku% D;k Hkkjr esa ljksxslh (fdjk;s dh dks[k) ij iw.kZr%

izfrcaèk yxk nsuk pkfg;s\ rdZ% I. ugha] dHkh&dHkh okLrfod :i ls] ftUgsa larku izkfIr ugha

gks ldrhA muds fy;s ljksxsV ,d mi;qDr ekè;e gSA II. gk¡] D;ksafd ;g vuSfrd gS fd fdlh vkSj dk f'k'kq] fdlh

vkSj dh dks[k esa iysA III. ugha] D;ksafd izR;sd O;fDr dks larku izkfIr dk vfèkdkj

gksuk pkfg;sA (a) dsoy I e”kcwr gSA (b) dsoy I vkSj III e”kcwr gSaA (c) dsoy II vkSj III e”kcwr gSaA (d) I, II vkSj III e”kcwr gSaA 32. dFku% D;k Hkkjr esa d{kk 8 rd isQy u djus dh uhfr dks

can dj nsuk pkfg;s\ rdZ% I. gk¡] blls cPpksa dh xq.koÙkk esa izHkkoh deh vkbZ gSA II. ugha] blls xk¡oksa ds cPps Ldwy tkus ds izfr vkdf"kZr

ugha gksaxsA III. gk¡] dbZ fjiksVZ crkrh gS fd isQy u djus dh uhfr ds dkj.k

cPpksa esa f'k{kk ds izfr f”kEesnkjh o tokcnsgh de gks jgh gSA

(a) dsoy I e”kcwr gSA (b) dsoy I vkSj III e”kcwr gSaA (c) dsoy III e”kcwr gSaA (d) buesa ls dksbZ ughaA

mÙkjekyk 1. (d) 2. (d) 3. (b) 4. (d) 5. (b) 6. (b) 7. (b) 8. (d) 9. (a) 10. (a) 11. (a) 12. (a) 13. (b) 14. (d) 15. (d) 16. (b) 17. (a) 18. (a) 19. (c) 20. (a) 21. (a) 22. (b) 23. (a) 24. (c) 25. (b) 26. (a) 27. (b) 28. (a) 29. (b) 30. (d) 31. (a) 32. (b)

O;k[;k

1. Li"Vhdj.k% dFku ds lacaèk esa fn;k x;k rdZ I ,d lkekU; rdZ gS rFkk bldks e”kcwrh iznku djus ds fy;s vko';d rF; ;k fopkj dh deh gSA blfy;s rdZ I de”kksj gSA rdZ II iwjh rjg ls xyr gS] D;ksafd fn;s x, dFku ls rdZ II fdl izdkj

lacafèkr gS] ;g Li"V ugha gSA vr% rdZ II vLi"V gS] tks fd ,d de”kksj rdZ gSA vr% lgh fodYi (d) gSA

2. Li"Vhdj.k% dFku ds vuqlkj fn;k x;k rdZ II xyr gS] D;ksafd gesa Kkr gS fd cky esyk esa Hkh fofHkUu izdkj dh

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tc ,d oDrk dksbZ dFku dgrk gS rFkk Jksrk ml dFku dks le>dj mlesa fufgr vFkZ dks fudkyrk gS] tks izR;{k vFkok Li"V :i ls ugha dgk x;k gS] rks mls ^iwoZèkkj.kk* dgrs gSa vFkkZr~ Jksrk }kjk vuqekfur rF; tks oDrk }kjk dgs x, fdlh dFku esa mldh fNih gqbZ lksp dks n'kkZrk gS] iwoZèkkj.kk gSaA

iwoZèkkj.kk ,d dYiuk ek=k gS] ftlds fy;s fdlh izek.k dh vko';drk ugha gksrh vFkkZr~ iwoZèkkj.kk dksbZ dkYifud ;k ekus x, ;k x`ghr ;k vizR;{k :i ls fdlh dFku esa lfUufgr ;FkkFkZ dks fu:fir djrh gSA

bl vè;k; osQ iz'uksa esa ,d dFku fn;k gksrk gS] ftlds ckn nks ;k rhu iwoZèkkj.kk,¡ nh xbZ gksrh gaSA vkidks fn;s x, dFku ,oa nh xbZ iwoZèkkj.kkvksa ij fopkj djrs gq, ;g Kkr djuk gksrk gS fd nh xbZ iwoZèkkj.kkvksa esa ls dkSu&lh iwoZèkkj.kk fn;s x, dFku esa lfUUkfgr gSA

iwoZèkkj.kkvksa dh fofHkUu Jsf.k;k¡1. dÙkkZ dh mifLFkfr@vuqifLFkfr (Presence or Absence of the Subject)

;fn fdlh dFku esa dÙkkZ dh mifLFkfr (Presence of Subject) dh ppkZ dh tk jgh gS rks mldk mifLFkr gksuk vko';d gSA blh izdkj ;fn dÙkkZ dh vuqifLFkfr (Absence of Subject) dh ckr dh tk jgh gS rks dÙkkZ dk vuqifLFkr gksuk vko';d gSA tSlsµ 1. dFku: vfèkdka'k jsy nq?kZVuk,¡ cgqr Hk;kud gksrh gSaA oSèk iwoZèkkj.kk: jsy nq?kZVuk,¡ gksrh gSaA Li"Vhdj.k% dFku esa dÙkkZ (jsy nq?kZVuk,¡) dh mifLFkfr dh

ckr dh xbZ gSA blfy;s iwoZèkkj.kk esa Hkh dÙkkZ dk mifLFkr gksuk vko';d gSA

2. dFku: tc rd fojkV dksgyh dh okilh ugha gksrh] Hkkjr eSp ugha thrsxkA

oSèk iwoZèkkj.kk: fojkV dksgyh Vhe esa ugha gSA Li"Vhdj.k% dFku esa fojkV dksgyh dh vuqifLFkfr dh ppkZ

dh xbZ gSA blfy;s iwoZèkkj.kk esa Hkh dÙkkZ dk vuqifLFkr gksuk vko';d gSA

2. fo'ks"k.k (Adjective)os 'kCn ftuls dÙkkZ dh fo'ks"krk crkbZ xbZ gks] mUgsa fo'ks"k.k

dgrs gSaA ;fn fdlh dFku esa fo'ks"k.k }kjk dÙkkZ dh fdlh fo'ks"krk dks crk;k x;k gks rks] ;g ekuk tkrk gS fd dÙkkZ esa og fo'ks"krk ekStwn gSA tSlsµ dFku: Ñ".k ds Øksfèkr gksus ds Mj ls dksbZ mlls e”kkd ugha

djrk gSA

oSèk iwoZèkkj.kk: Ñ".k dks Øksèk vkrk gSA Li"Vhdj.k% dFku esa ^Øksèk* ,d fo'ks"k.k gS] tks Ñ".k dh

fo'ks"krk crk jgk gSA vr% ;g iwoZèkkj.kk oSèk gS fd ^Ñ".k dks Øksèk vkrk gSA*

3. dkj.k&izHkko (Cause-Effect)dqN dFku ,sls gksrs gSa] tks fdlh dkj.k vkSj izHkko ds eè;

lacaèk dks n'kkZrs gSaA ,sls dFkuksa esa lkekU;r% ^blfy;s] pw¡fd] vr%] tSls] D;ksafd] ekuk] bl izdkj* vkfn 'kCn gksrs gSaA bl rjg ds dFku esa ;g dYiuk ,d iwoZèkkj.kk gks ldrh gS fd bl dkj.k dk izHkko gksrk gSA tSlsµ dFku: pw¡fd vkidh mez 21 o"kZ ugha gqbZ gS] vki bl ijh{kk

esa ugha cSB ldrsA oSèk iwoZèkkj.kk: ijh{kk esa cSBus osQ fy;s 21 o"kZ gksuk vfuok;Z gSA Li"Vhdj.k: dFku esa dgk x;k gS fd vkidh mez 21 o"kZ

ugha gqbZ gS] blfy;s vki ijh{kk esa ugha cSB ldrs vFkkZr~ ;g fuf'pr gS fd ijh{kk esa cSBus ds fy;s U;wure 21 o"kZ dk gksuk vko';d gSA vr% ;g ,d oSèk iwoZèkkj.kk gSA

4. dk;Zokgh (Course of Action)tc dFku esa dksbZ rF; fn;k x;k gks rFkk mlds ckn ml rF;

ds fdlh igyw] lkekU;r% udkjkRed dh ppkZ dh xbZ gks] ftlds ckn ml rF; ls lacafèkr dksbZ dk;Zokgh crkbZ xbZ gksrh gSA

bl izdkj ds dFku dh fuEufyf[kr iwoZèkkj.kk,¡ gks ldrh gSa&zz ml dk;Zokgh ls rF; ds udkjkRed igyw esa lqèkkj gksxkA

zz ml dk;Zokgh dks u”kjvank”k djus ls uqdlku gksxkA

zz ml rF; ds udkjkRed igyw esa lqèkkj dh vko';drk gSA

zz bl rF; ds udkjkRed igyw uqdlkunsg gSaA

tSlsµ

dFku% vkS|ksfxd vif'k"Vksa ds feyus ls xaxk unh nwf"kr gks xbZ gSA ljdkj dks ,sls m|ksxksa ij tqekZuk yxkuk pkfg;s tks vif'k"Vksa dks unh esa NksM+ nsrs gSaA

oSèk iwoZèkkj.kk,¡% I. xaxk unh ds iznw"k.k dks de djus dh vko';drk gSA II. xaxk unh ds nwf"kr gksus ls vke tu izHkkfor gksxkA III. m|ksxksa ij tqekZuk yxkus ls xaxk unh esa iznw"k.k dks de dj

ldrs gSaA IV. ;fn m|ksxksa ij tqekZuk ugha yxk;k x;k rks unh vkSj vfèkd

nwf"kr gks tk,xhA

dFku vkSj iwoZèkkj.kk,¡(Statements and Assumptions)2

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çfro"kZ vk;ksftr gksus okyh izfr;ksxh ijh{kkvksa esa ^dFku vkSj fu"d"kZ* fo"k; ls iz'u lhèks rkSj ij iwNs tkrs gSaA bl vè;k; esa ge dFku vkSj ml ij vkèkkfjr fu"d"kks± dks fudkyus ds ckjs esa lh[ksaxsA

lkekU;r% dFku ,d vFkZiw.kZ vkSj rk£dd okD; gksrk gS] ftlls ,d fuf'pr lwpuk dh izkfIr gksrh gSA fu"d"kZ ,d izdkj dk vuqeku (Inference) gS] tks fd fn;s x, dFku esa O;kIr tkudkjh ds vkèkkj ij izkIr fd;k tk ldrk gS rFkk tks dFku esa nh xbZ lwpuk dk vuqlj.k djrk gSA fnu&izfrfnu ge dqN fn;s x, rF;ksa ij rk£dd fu"d"kZ fudkyrs gSaA

bl vè;k; esa iwoZèkkj.kk (Assumption) vkSj fu"d"kZ (Conclusion) ds chp izk;% ijh{kkFkhZ Hkzfer jgrs gaSA la{ksi esa dFku iwoZèkkj.kk (Assumption) ij vkèkkfjr gksrk gS rFkk fu"d"kZ] dFku ij vkèkkfjr gksrk gSA

dFku vkSj fu"d"kZ ls lacafèkr iz'u gy djus gsrq dqN egÙoiw.kZ fcanq%zz dFku ,d vFkZiw.kZ okD; gksrk gS rFkk fu"d"kZ fn;s x, dFku ij foosdiw.kZ fopkj djus ds ckn fy;k x;k fu.kZ; gksrk gSA

zz fn;s x, dFku ;k 'krZ ds vkèkkj ij fdlh vafre fu.kZ; ;k urhts ij igq¡pus ls igys] mlds ckn gksus okys cnykoksa ;k iM+us okys izHkkoksa dk Hkh fo'ys"k.k djuk pkfg;sA

zz çR;sd n'kk esa fu"d"kZ dFku esa fn;s x, rF;] lwpuk ;k er ls lacafèkr gksuk pkfg;sA fu"d"kZ] dFku ds lkj ls HkVduk ugha pkfg;sA

zz fdlh Hkh fu"d"kZ ij igq¡pus ls igys mlds lHkh igyqvksa ij pj.kc¼ rjhds ls fopkj djuk pkfg;sA

zz ;fn nks ;k nks ls vfèkd dFku gksrs gSa] rks dFkuksa esa fojksèkkHkkl ugha gksuk pkfg;sA

zz dFku vkSj fu"d"kZ nksuksa fdlh iwoZLFkkfir rF; ;k lR; ds fo#¼ ugha gksuk pkfg;sA

zz dqN fuf'pr 'kCnksa (Jargons ;k Key Words), tSls& lHkh] ges'kk] dsoy] dqN] fuf'pr :i ls] bl izdkj vkfn dk iz;ksx djus ij fu"d"kZ voSèk vFkok vLi"V (lafnXèk) gks tkrk gSAzz ;fn fu"d"kZ dh lR;rk ,d mnkgj.k ds ekè;e ls n'kkZbZ tkrh gS rks og fu"d"kZ voSèk gksrk gSA

zz ijh{kkfFkZ;ksa dks iz'u esa fn;s x, fodYiksa ds vkèkkj ij fopkj djuk pkfg;s] ftlls HkVdko dh laHkkouk de jgrh gSA

mnkgj.k%funsZ'k% uhps fn;s x, izR;sd mnkgj.k esa ,d dFku vkSj mlds

lkFk nks fu"d"kZ fn;s x, gSa] ftUgsa Øekad (I) vkSj (II) ls n'kkZ;k x;k gSA mÙkj nhft;s&

(a) ;fn dsoy fu"d"kZ I vuqlj.k djrk gSA (b) ;fn dsoy fu"d"kZ II vuqlj.k djrk gSA (c) ;fn ;k rks fu"d"kZ I ;k fu"d"kZ II vuqlj.k djrk gSA (d) ;fn u gh fu"d"kZ I vkSj u gh fu"d"kZ II vuqlj.k djrk gSA (e) ;fn fu"d"kZ I vkSj II nksuksa vuqlj.k djrs gSaA

1. dFku: uksVcanh ls NksVs dkjksckfj;ksa dks ”;knk uqdlku gqvk FkkA fu"d"kZ% I. uksVcanh ls cM+s dkjksckjh iwjh rjg ls vizHkkfor FksA II. uksVcanh ls O;kikj ij foijhr izHkko iM+k FkkA Li"Vhdj.k% fu"d"kZ I oSèk ugha gS] D;ksafd tc NksVs dkjksckfj;ksa

dks ”;knk uqdlku gqvk Fkk rks cM+s dkjksckjh Hkh vNwrs ugha jgs gksaxsA vr% ;g dguk fd og vizHkkfor jgs gksaxs] xyr gSA dFku ds vuqlkj uksVcanh ls O;kikj dks uqdlku gqvk FkkA blfy;s fu"d"kZ II oSèk gS vkSj dFku dk vuqlj.k djrk gSA vr% lgh fodYi (b) gSA

2. dFku: bykgkckn dh tula[;k de gS] blfy;s ;g txg clus ds fy;s mfpr gSA

fu"d"kZ% I. tgk¡ dh tula[;k de gS] og 'kgj clus ds fy;s lcls

vPNk gSA II. bykgkckn esa dkuiqj dh vis{kk vijkèk de gksrs gSaA Li"Vhdj.k% fu"d"kZ I voSèk gS] D;ksafd okLro esa ;g ,d

iwoZèkkj.kk (Assumption) gS] ftl ij dFku vkèkkfjr gSA ;g fu"d"kZ ugha gS] tks fd dFku ls fudkyk tk ldsA fu"d"kZ II Hkh xyr gS] D;ksafd dFku esa dgha Hkh bykgkckn dh vkijkfèkd nj ds ckjs esa ppkZ ugha dh xbZ gSA blfy;s nksuksa gh fu"d"kZ xyr gSaA vr% lgh fodYi (d) gSA

3. dFku: Hkkjr vkSj baXySaM ds chp [ksyh tk jgh ,dfnolh; Üka`[kyk dk vafre eSp ckfj'k dh HksaV p<+ x;k] ftlls Hkkjr us ;g Ük`a[kyk 2–1 ls vius uke dj yhA Hkkjr us yxkrkj 2 eSp thrsA

fu"d"kZ% I. Üka`[kyk ds igys nksuksa eSpksa esa Hkkjr us fot; gkfly dhA II. Üka`[kyk dh 'kq#vkr baXySaM us fot; ds lkFk dhA Li"Vhdj.k% dFku ds vuqlkj Hkkjr us ,dfnolh; Üka`[kyk

2–1 ls thrh gSA vr% laHkkouk gS fd igys nksuksa eSpksa esa Hkkjr fot;h jgk gksA fu"d"kZ II Hkh lgh gks ldrk gS] D;ksafd baXySaM Hkh Üka`[kyk dk igyk eSp thr ldrk gSA vr% ;k rks fu"d"kZ I lgh gS ;k fiQj fu"d"kZ IIA vr% lgh fodYi (c) gSA

dFku vkSj fu"d"kZ(Statements and Conclusions)3

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bl vè;k; ls fofHkUu izfr;ksxh ijh{kkvksa esa iz'u iwNs tkrs gSaA bl izdkj ds iz'uksa esa vH;FkhZ dks ,d dFku fn;k tkrk gS rFkk mlds mijkar dqN dk;Zokfg;k¡ nh tkrh gSaA vH;FkhZ dks dFku ls ewy leL;k Kkr djuh gksrh gS rFkk mlds vuqlkj lcls mi;qDr dk;Zokgh dk p;u djuk gksrk gSA

dk;Zokgh% dFku esa nh xbZ lwpukvksa ls ewy leL;k o mlds dkj.kksa dks Kkr djds mlesa lqèkkj ds fy;s ;k ikyu&leL;k ds lacaèk esa vkxs ds fy;s mBk, x, izHkkoh dne dk;Zokgh (Course of Action) dgykrs gSaA

blesa eq[;r% nks izdkj ds iz'u iwNs tkrs gSa&

1. leL;k lekèkku lacaèkh iz'u (Problem Solving Question)blesa ,d dFku fn;k tkrk gS] ftlesa ,d leL;k ds ckjs esa

ckr dh tkrh gS rFkk dk;Zokgh dks leL;k ds lekèkku ds :i esaa n'kkZ;k tkrk gSA tSls& dFku% twrksa dh fcØh fopkj.kh; :i ls de gksrh tk jgh gSA

;g daiuh ds fy;s xgu fpark dk fo"k; gSA dk;Zokfg;k¡% I. twrksa dh dher de dj nsuh pkfg;sA II. daiuh dks ck”kkj esa miyCèk vU; czkaM ds twrksa dk

lkoèkkuhiwoZd vè;;u djuk pkfg;sA Li"Vhdj.k% mi;qZDr dFku ds vuqlkj fdlh Hkh daiuh ds

mRikn dh fcØh esa deh gksus ls ml mRikn dh dher de djuk ,d lgh fu.kZ; ugha gS] tcfd mDr daiuh }kjk vU; czkaMksa dk vè;;u ,d izHkkoh ck”kkj j.kuhfr esa 'kkfey fd;k tkrk gSA bl izdkj dk;Zokgh I vizklafxd gS rFkk dk;Zokgh II dFku esa nh xbZ leL;k dk lekèkku gSA

rdZlaxr@oSèk dk;Zokgh Kkr djus ds rjhdsbl izdkj ds iz'uksa esa dk;Zokgh oSèk gS ;k ugha rFkk og rkfdZd

:i ls dFku dk vuqlj.k djrh gS ;k ugha] ;g Kkr djus ds fy;s fuEu nks pj.k gSaA

pj.k&1: dFku dh leh{kkloZizFke dFku esa nh xbZ lwpukvksa dk fu"i{k :i ls fo'ys"k.k

djrs gSa rFkk blds i'pkr~ leL;k ds ewy vFkkZr~ okLrfod leL;k dh igpku djrs gSaA

pj.k&2: dk;Zokgh dh leh{kkblds i'pkr~ ,slh dk;Zokgh dh igpku djrs gSa] tks nh xbZ

leL;k dks de dj ns ;k fiQj mldk funku dj nsAuhps dqN fu;e fn;s tk jgs gSa] ftuds vkèkkj ij ;g dgk tk

ldrk gS fd nh xbZ dk;Zokgh rdZlaxr@oSèk gSA

(i) LFkkfir rF;% ;fn dk;Zokgh ds :i esa fdlh LFkkfir rF; dk iz;ksx fd;k tk,] ftlls leL;k dk lekèkku fd;k tk lds rks bl izdkj dh dk;Zokgh rdZlaxr@oSèk dgh tk,xhA tSls&

dFku% flracj&vDrwcj ekg esa vLirky esa VkbiQkbM ds ejh”kksa dh la[;k ges'kk gh c<+ tkrh gSA

dk;Zokfg;k¡% I. ljdkj dks lHkh {ks=kksa esa o"kZHkj LoPN ikuh dh vkiwfrZ

lqfuf'pr djuh pkfg;sA II. flracj&vDrwcj ds eghuksa esa lkiQ&liQkbZ o tyHkjko ls

cpko ds fy;s [kkl mik; djus pkfg;sA Li"Vhdj.k% mi;qZDr dFku esa crk;k x;k gS fd flracj&vDrwcj

esa yksx VkbiQkbM ls ”;knk ihfM+r gksrs gSa] D;ksafd ckfj'k ds ekSle esa xanxh ds c<+us vkSj tyHkjko ds dkj.k tylzksr nwf"kr gks tkrs gSaA oSKkfud :i ls izekf.kr gS fd VkbiQkbM nwf"kr ty o nwf"kr Hkkstu xzg.k djus ls gksrk gSA bldk fo"kk.kq nwf"kr ty o xnaxh okys LFkkuksa esa jgrk gSA blfy;s dk;Zokgh I rFkk II nksuksa leL;k dks de djus esa lgk;d gSA vr% dk;Zokgh I o II rdZlaxr gSaA

(ii) rkfdZd vuqlj.k% ;fn leL;k bl izdkj dh gks fd igys ls izpfyr dksbZ Hkh rF; ;k gy dke u vk, rks ge vius foosdkuqlkj ;k rdZ dk iz;ksx djds dk;Zokgh dh oSèkrk dk ewY;kadu djrs gSaA tSls&

dFku% foxr dqN o"kks± ls ljdkj dks izkIr gksus okys djkèkku esa deh vkbZ gSA

dk;Zokfg;k¡% I. ljdkj dks dj (VSDl) dh njsa c<+k nsuh pkfg;sA II. ljdkj dks dj (VSDl) dh njsa ?kVk nsuh pkfg;sA Li"Vhdj.k% mi;qZDr dFku ds vuqlkj ljdkj dks dj ls gksus

okyh vk; esa deh vkbZ gS] blfy;s dk;Zokgh I rdZlaxr ugha gS] D;ksafd VSDl dh njsa c<+kus ls Hkys gh FkksM+s le; ds fy;s djkèkku c<+ tk,] ijarq varr% VSDl vnk djus okys yksxksa dh la[;k esa deh vk,xh] D;ksafd c<+k gqvk VSDl vke&yksxksa ds fy;s vR;ar dBksj gksxkA dk;Zokgh II lgh o rdZlaxr gS] D;ksafd dj dh njsa ?kVkus ls VSDl csl esa c<+ksrjh gksxh] ftlls dj vnk djus okys yksxksa dh la[;k esa o`f¼ gksxh] vkSj ifj.kkeLo:i djkèkku c<+sxkA

(iii) vuqHko vkèkkfjr% dbZ ckj dqN leL;k,¡ u, :iksa ds lkFk iqu% vkrh gSa rks blds fy;s gesa vius vuqHko ls mUgha iqjkus lekèkkuksa dk la'kksfèkr :i iz;ksx djuk iM+rk gS ftlls leL;k de ;k nwj gks tkrh gSA tSls&

dFku vkSj dk;Zokgh(Statements and Courses of Action)4

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vfHkdFku vkSj dkj.k (Assertion and Reason) fo'ys"k.kkRed

rk£dd ;ksX;rk dk ,d Hkkx gSA fo|kfFkZ;ksa ds Kku rFkk fdlh lanHkZ

esa fn;s x, lgh dkj.k dh igpku djus dh ;ksX;rk dk ijh{k.k djus

ds fy;s bl ij vkèkkfjr iz'u iwNs tkrs gSaA bu iz'uksa dks gy djus

ds fy;s fo|kfFkZ;ksa ls mPPk Lrj ds Kku dh vis{kk dh tkrh gS] D;ksafd

;s iz'u izk;% lkekU; Kku@lkekU; vè;;u ls lhèks tqM+s gksrs gSaA ijh{kk

esa fuEufyf[kr nks izdkj ds iz'u iwNs tkrs gSa&

,d dkj.k okys iz'u

bl izdkj ds iz'uksa esa nks okD; gksrs gSaA ,d vfHkdFku

(Assertion) rFkk nwljk dkj.k (Reason) gksrk gSA dFku lkekU;

tkudkjh ij vkèkkfjr gksrk gSA lcls igys gesa ;g fuèkkZfjr djuk

gksrk gS fd dFku esa nh xbZ tkudkjh lgh gS ;k xyr vFkkZr~ dFku

lR; gS ;k vlR;] fiQj ge dkj.k dks ns[krs gaS fd dkj.k esa nh xbZ

tkudkjh lgh gS vFkok ughaA ;fn dkj.k Hkh lgh gS rks gesa ;g

fuèkkZfjr djuk gksrk gS fd dkj.k] dFku esa nh xbZ tkudkjh dh lgh

O;k[;k djrk gS vFkok ughaA bl izdkj izR;sd laHkkfor ifj.kke ds

fy;s ,d fodYi fn;k jgrk gSA

fodYiksa dh izÑfr dqN bl izdkj jgrh gS&

(a) ;fn nksuksa dFkuksa] vfHkdFku rFkk dkj.k esa nh xbZ tkudkjh lgh

gS rFkk vfHkdFku esa tks tkudkjh nh xbZ gS] mldh lgh O;k[;k

dkj.k }kjk gksrh gS rks fodYi (a) mÙkj gksxkA

(b) ;fn vfHkdFku rFkk dkj.k nksuksa esa nh xbZ tkudkjh lgh gS]

ijarq dkj.k vfHkdFku eas nh xbZ tkudkjh dk lgh Li"Vhdj.k

ugha gS rks (b) mÙkj gksxkA

(c) ;fn vfHkdFku lgh gS] tcfd dkj.k xyr gS rks (c)

mÙkj gksxkA

(d) ;fn vfHkdFku xyr gS rFkk dkj.k esa nh xbZ tkudkjh lgh gS

rks (d) mÙkj gksxkA

(e) ;fn vfHkdFku rFkk dkj.k nksuks a gh xyr gks a rks (e)

mÙkj gksxkA

mi;qZDr dks mnkgj.k dh lgk;rk ls le>rs gSaA

1. vfHkdFku (A): dsapq, dks fdlkuksa dk fe=k dgk tkrk gSA

dkj.k (R)% dsapq, feV~Vh dks ckjhd&ckjhd d.kksa esa rksM+dj

mls dksey cukrs gSaA

;gk¡ ij nksuks a dFku lgh gSaA dsapq, dks fdlkuksa dk fe=k

blfy;s dgk tkrk gS] D;ksafd dsapq, feV~Vh ds d.kks a dks

ckjhd&ckjhd rksM+dj mls dksey cukrs gSa] ftlls feV~Vh

dh moZjrk c<+ tkrh gSA

vr% vfHkdFku Hkh lgh gS rFkk dkj.k Hkh lgh gS vkSj dkj.k]

vfHkdFku dk lgh Li"Vhdj.k gSA

2. vfHkdFku (A): ydM+h ikuh esa rSjrh gS] tcfd yksgk ikuh esa

Mwc tkrk gSA

dkj.k (R)% yksgs dk fof'k"V ?kuRo ydM+h ds fof'k"V ?kuRo

ls vfèkd gSA

;fn ge dFku (A) ij n`f"V Mkyrs gSa rks ;g Li"V gS fd

dFku esa nh xbZ tkudkjh lgh gS] D;ksafd gesa ;g irk gS fd

ydM+h ikuh esa rSjrh gSA blds foijhr yksgk Mwc tkrk gSA dkj.k

(R) esa ;g crk;k x;k gS fd yksgs dk ?kUkRo] ydM+h ds

?kuRo ls vfèkd gksrk gSA ;g Hkh vius vki esa lR; gS] ijarq

;gk¡ ij ikuh ds ?kuRo ds ckjs esa dqN ugha dgk x;k gSA blfy;s

dkj.k (R) lgh gksrs gq, Hkh dFku (A) dh lgh O;k[;k ugha

djrkA

3. vfHkdFku (A): vfèkdka'k lH;rk,¡ ufn;ksa ds fdukjs fodflr

gqbZ gSaA

dkj.k (R)% izkjafHkd euq"; dk eq[; O;olk; Ñf"k FkkA

bfrgkl ds vè;;u ls ;g fl¼ gksrk gS fd vfèkdka'k lH;rk,¡

ufn;ksa ds fdukjs gh fodflr gqbZ gSa] ysfdu dkj.k (R) esa nh xbZ tkudkjh] euq"; dk eq[; O;olk; Ñf"k Fkk] iw.kZr% lgh

ugha gSA ;fn ge Hkkjr dh gh ckr djsa rks gM+Iik dky esa eq[;

O;olk; O;kikj rFkk Ñf"k Fkk] tcfd oSfnd lH;rk esa i'kqikyu]

Ñf"k ls izeq[k FkkA vr% vfHkdFku (A) lgh gS] tcfd dkj.k

(R) xyr gSA

nks dkj.kksa okys iz'u

vfHkdFku rFkk dkj.k esa dbZ ckj vU; izdkj ds iz'u Hkh iwNs

tkrs gSa] ftuesa ,d vfHkdFku fn;k tkrk gS rFkk lkFk esa nks dkj.k

(R1) rFkk (R2) fn;s tkrs gSaA vfHkdFku dks iw.kZr% lR; ekudj ;g

tk¡p djuh gksrh gS fd fn;s x, dFku ds fy;s nksuksa esa ls dksbZ ,d

dkj.k lgh gS] nksuksas lgh gS ;k nksuksa esa ls dksbZ Hkh lgh ugha gSA vkb;s

,d mnkgj.k }kjk iz'u dh izÑfr dks le>rs gaSA

vfHkdFku vkSj dkj.k(Assertions and Reasons)5

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dkj.k rFkk izHkko (Cause and Effect) fo'ys"k.kkRed roZQ'kfDr dk ,d egÙoiw.kZ Hkkx gSA vktdy fofHkUu izdkj dh ijh{kkvksa esa dkj.k rFkk izHkko ij vkèkkfjr iz'u iwNs tk jgs gSa] bu iz'uksa dks iwNus dk vkSfpR; vH;FkhZ dh fdlh ?kVuk osQ lgh dkj.k dks igpkuus rFkk mlls iM+us okys izHkko dk fo'ys"k.k djus dh {kerk dh tk¡p djuk gSA bl izdkj osQ iz'uksa esa lkekU;r% ;g igpkuuk gksrk gS fd nh xbZ ?kVuk dksbZ dkj.k gS ;k fdlh vU; ?kVuk dk izHkkoA tSlsµ

dFku%

I. ljdkj }kjk iqjkus Mh”ky batu okys okguksa ij jksd yxk nh xbZA

II. 'kgj esa iznw"k.k dk Lrj cgqr c<+ x;k gSA

nksuksa dFkuksa dk voyksdu djus ij ;g irk pyrk gS fd 'kgj esa iznw"k.k dk Lrj c<+us ij gh ljdkj us ;g fu.kZ; fy;k gS fd iqjkus Mh”ky batu okys okguksa ij jksd yxk nh tk,A vr% ge ;g dg ldrs gSa fd dFku&II dkj.k gS rFkk dFku&I mldk izHkko gSA

dksbZ Hkh ?kVuk Lor% ugha gksrh] mlosQ ihNs dksbZ u dksbZ dkj.k vo'; jgrk gSA dkj.k esa os lHkh 'krs± fNih jgrh gSa tks fdlh ?kVuk osQ gksus osQ fy;s mÙkjnk;h gksrh gSaA

dksbZ dFku dkj.k gS] ;g bl ckr ij fuHkZj djrk gS fd og fdlh ?kVuk osQ gksus osQ fy;s vko';d rFkk i;kZIr 'krs± iSnk djrk gS ;k ughaA

vko';d rFkk i;kZIr 'krs± (Necessary and Sufficient Conditions)

os lHkh 'krs± ftuosQ fcuk dksbZ ?kVuk laHko gh ugha gS] ̂ vko';d 'krs±* (Necessary Conditions) dgykrh gSa] tcfd os lHkh 'krs± ftuosQ gksus ls ?kVuk vo'; gks tk,xh] ̂ i;kZIr 'krs±* (Sufficient Conditions) dgykrh gSaA vkb;s bls ge ,d mnkgj.k }kjk le>rs gSaA

,d ukSdjh osQ fy;s ijh{kk gsrq vkea=k.k Lohdkj fd;s tkrs gSaA ijh{kk esa tks Hkh 70% ls vfèkd vad izkIr djsxk] og ukSdjh osQ ;ksX; gksxkA ysfdu ijh{kk esa cSBus osQ fy;s mEehnokj dk Lukrd gksuk vko';d gSA

;gk¡ ij ;g Li"V gS fd ijh{kk esa cSBus osQ fy;s Lukrd gksuk ”k:jh gSA vr% ;g ,d vko';d 'krZ gS] D;ksafd Lukrd osQ fcuk vkosnu fd;k gh ugha tk ldrk] ysfdu ukSdjh ikus osQ fy;s Lukrd gksuk i;kZIr 'krZ ugha gSA Lukrd gksus osQ lkFk&lkFk ijh{kk esa 70% vad ykuk i;kZIr 'krZ gksxhA

dkj.k rFkk izHkko (Cause and Effect)oSKkfud n`f"Vdks.k ls ;g vko';d gS fd ^dkj.k* gh fn;s x,

izHkko osQ ewy esa gks rFkk ^izHkko* fn;s x, ^dkj.k* dk roZQiw.kZ ifj.kke gksA

dkj.k

dksbZ ?kVuk dkj.k rHkh gksxh] tcµzz og fdlh vU; ?kVuk osQ gksus osQ fy;s vko';d rFkk i;kZIr 'krZ gksAzz vU; ?kVuk (izHkko) ml ?kVuk dk rk£dd ifj.kke gksAzz dkj.k osQ :i esa ns[kus osQ fy;s oqQN oSKkfud rF; miyCèk gkasAzz og fdlh vU; ?kVuk ls igys ?kfVr gqbZ gksA

izHkko

dksbZ ?kVuk ^izHkkoh* rc gksxh] ;fnzz og fdlh ^dkj.k* dk ifj.kke gksA

zz ges'kk dkj.k osQ ckn ?kfVr gksA

eku ysrs gaS fd fofHkUu izdkj dh ?kVukvksa dh ,d Ük`a[kyk gS] ftlesa ?kVuk,¡ A, B, C, D rFkk E ,d ozQe esa bl izdkj gks jgh gSa fd ?kVuk ‘B’ osQ gksus dk dkj.k ?kVuk ‘A’ dk gksuk gSA ?kVuk ‘C’ osQ gksus dk dkj.k ?kVuk ‘B’ dk gksuk gSA blh izdkj ?kVuk ‘D’ dk gksuk ‘C’ ij rFkk ‘E’ dk gksuk ‘D’ ij fuHkZj djrk gS rks ;gk¡ ?kVuk,¡ A, B, C rFkk D ?kVuk E gsrq dkj.k gks ldrh gSa rFkk ?kVuk,¡ B, C, D o ?kVuk A ds fy;s E izHkkoh gks ldrh gSA dkj.k ges'kk igys gksrk gS rFkk ^dkj.k* osQ ifj.kke Lo:i tks Hkh ?kVuk gksrh gS] og izHkkoh gksxh vFkkZr~ dksbZ ,d izHkko ;fn dkyozQe :i ls nwljs izHkko ls igys vkrk gS rks og ,d dkj.k ekuk tk,xkA ^dkj.k* rkRdkfyd vFkok eq[; gks ldrk gS] lkFk gh Lora=k dkj.k Hkh gks ldrk gSA

rkRdkfyd dkj.k (Immediate Cause),d rkRdkfyd dkj.k og ?kVuk gksrh gS] tks fdlh izHkko osQ

rqjar igys gqbZ gksA rkRdkfyd dkj.k le; dh n`f"V ls izHkko osQ lcls vfèkd fudV gksrk gSA

eq[; dkj.k (Principle Cause)fdlh Hkh ?kVuk osQ gksus osQ fy;s fofHkUu ?kVukvksa esa ls tks lcls

vfèkd mÙkjnk;h ?kVuk (dFku) gksrh gS] og ml ?kVuk (izHkko) dk eq[; dkj.k gksrh gSA

Lora=k dkj.k (Independent Cause),d ,slk dkj.k] tks fdlh nh xbZ ?kVuk (izHkko) ls dksbZ Hkh

lacaèk ugha j[krk gks ^Lora=k dkj.k* dgykrk gSA tSlsµ

dkj.k rFkk izHkko(Causes and Effects)6

Page 49: rdZ'kfDri rdZ'kfDr (Reasoning) n`f"V ifCyds'kUl 641, izFke ry] MkW- eq[kthZ uxj] fnYyh&110009 nwjHkk"k% 011-47532596, 87501 87501 Website: ,

490

dkj.k rFkk izHkkon`fÔ ifCydsÓkUl

funsZ'k (iz-la- 31–35): uhps izR;sd iz'u esa (A) vkSj (B) nks dFku fn;s x, gSaA ;s dFku ;k rks Lora=k dkj.k gks ldrs gSa ;k Lora=k dkj.kksa ;k lkekU; dkj.k ds izHkko gks ldrs gSaA buesa ls ,d dFku nwljs dFku dk izHkko gks ldrk gSA nksuksa dFkuksa dks if<+;s vkSj r; dhft;s fd fuEufyf[kr esa ls fdl mÙkj dk pquko bu nksuksa dFkuksa ds chp lgh lacaèk crkrk gSA ;wukbVsM bafM;k ba';ksjsal AAO, 2002 (1) nhft;s] ;fn dFku (A) dkj.k gS vkSj dFku (B) mldk izHkko gSA (2) nhft;s] ;fn dFku (B) dkj.k gS vkSj dFku (A) mldk izHkko gSA (3) nhft;s] ;fn dFku (A) vkSj (B) nksuksa dFku Lora=k dkj.k gSaA (4) nhft;s] ;fn dFku (A) vkSj (B) nksuksa dFku Lora=k dkj.kksa ds

izHkko gSaA (5) nhft;s] ;fn dFku (A) vkSj (B) nksuksa dFku fdlh lkekU;

dkj.k ds izHkko gSaA 31. dFku% A. ljdkj dh ekfydh dh rsy daifu;ksa us rRdky :i ls

izHkkoh isVªksfy;e mRiknksa dh dhersa de dj nh gSaA B. ljdkj us yksxksa ls isVªksfy;e mRiknksa dk mi;ksx de djus

dh vihy dh gSA 32. dFku% A. gky gh esa iqfyl izkfèkdj.k us x`gHksndksa dh ,d Vksyh dks

idM+ fy;k gSA B. ml bykds ds ukxfjd lewg us ml {ks=k esa jkf=k igjk vkjaHk

dj fn;k gSA 33. dFku% A. ljdkj us izkbosV fo'ofo|ky;ksa dks vko';d vuqeksnuksa

dh izkfIr ds ckn vius Lo;a ds ikB~;Øe pykus dh NwV ns nh gSA

B. ljdkj }kjk pyk, tk jgs fo'ofo|ky;ksa ds fofHkUu ikB~;Øeksa esa izos'k ysus okys fo|kfFkZ;ksa dh la[;k lrr de gqbZ gSA

34. dFku% A. Fkksd ck”kkj esa Hkjiwj u;k LVkWd vk x;k gSA B. gky gh esa ljdkj us vukt dh [kjhnh dh dher c<+k

nh gSA 35. dFku% A. Ldwy izkfèkdj.k us d{kk X ds fo|kfFkZ;ksa dks izR;sd jfookj

dks vk;ksftr gksus okys fo'ks"k oxks± esa mifLFkr jgus ds fy;s dgk gSA

B. d{kk X esa fo|kfFkZ;ksa ds ekrk&firkvksa us vius izfrikY;ksa ls jfookj dks vk;ksftr izkbosV V~;w'kal NqM+ok fn;s gSaA

funsZ'k (iz-la- 36–40): uhps izR;sd iz'u esa (A) vkSj (B) nks dFku fn;s x, gSaA ;s dFku ;k rks Lora=k dkj.k gks ldrs gSa ;k Lora=k dkj.kksa ;k lkekU; dkj.k ds izHkko gks ldrs gSaA buesa ls ,d dFku nwljs dFku dk izHkko gks ldrk gSA nksuksa dFkuksa dks if<+;s vkSj r;

dhft;s fd fuEufyf[kr esa ls fdl mÙkj dk pquko bu nksuksa dFkuksa ds chp lgh lacaèk crkrk gSA ;wukbVsM bafM;k ba';ksjsal AAO, 2002 (1) ;fn dFku (A) dkj.k gS vkSj dFku (B) mldk izHkko gSA (2) ;fn dFku (B) dkj.k gS vkSj dFku (A) mldk izHkko gSA (3) ;fn dFku (A) vkSj (B) nksuksa dFku Lora=k dkj.k gSaA (4) ;fn dFku (A) vkSj (B) nksuksa dFku Lora=k dkj.kksa ds izHkko gSaA (5) ;fn dFku (A) vkSj (B) nksuksa dFku fdlh lkekU; dkj.k ds

izHkko gSaA 36. dFku% A. fiNys dqN o"kks± ds nkSjku lhesaV dh dherksa esa dbZ xquk

o`f¼ gks xbZ gSA B. ljdkj us fudV Hkfo"; esa yxkbZ tkus okyh lhesaV fuekZrk

daifu;ksa dks ik¡p o"kks± rd dj esa NwV nsus dk fu.kZ; fy;k gSA

37. dFku% A. Hkz"V iqfyl vfèkdkfj;ksa ds vR;kpkj ds f[kykiQ fojksèk

djus ds fy;s iqfyl Fkkus ds ckgj tek gqbZ minzoh HkhM+ ij iqfyl us ykBhpktZ fd;kA

B. ljdkj us dqN iqfyl vfèkdkfj;ksa }kjk fd;s x, dfFkr vR;kpkjksa dh tk¡p vkjaHk dh gSA

38. dFku% A. bl o"kZ LFkkuh; Ldwy dh d{kk X ds vfèkdka'k Nk=kksa us

rhljh Hkk"kk ds :i esa laLÑr dk pquko fd;kA B. fiNys o"kZ LFkkuh; Ldwy dh d{kk X ds vfèkdka'k Nk=kksa

us rhljh Hkk"kk ds :i esa izsaQp dk pquko fd;kA 39. dFku% A. fiNys dqN gÝrksa ds nkSjku lfC”k;ksa dh dherksa esa dkiQh

”;knk o`f¼ gqbZ gSA B. ljdkj us yxHkx ,d eghuk igys isVªksfy;e mRiknksa dh

dherksa esa deh dh FkhA 40. dFku% A. jfookj dks cM+h la[;k esa yksx lqij ck”kkj dh vksj nkSM+ iM+sA B. lqij ck”kkj us jfookj dks vR;fèkd oLrqvksa ij Hkkjh NwV

dh is'kd'k dhA

mÙkjekyk 1. (5) 2. (5) 3. (2) 4. (5) 5. (4) 6. (1) 7. (1) 8. (1) 9. (3) 10. (1) 11. (5) 12. (2) 13. (4) 14. (2) 15. (2) 16. (2) 17. (1) 18. (5) 19. (4) 20. (2) 21. (5) 22. (1) 23. (1) 24. (2) 25. (1) 26. (1) 27. (2) 28. (4) 29. (5) 30. (2) 31. (4) 32. (5) 33. (2) 34. (2) 35. (1) 36. (1) 37. (5) 38. (4) 39. (4) 40. (2)

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