Subject Code: I73ll. WINTER- 15 EXAMINATIONS

Model Answer- Mechanics of Structure Page No- 01137

lmportant lnstruction to Examiners :-

1) The answers should be examined by key words & not as word to word as given in the modelanswers scheme.

2) The model answers & answers written by the candidate may vary but the examiner may try toaccess the understanding level of the candidate.

3) The language errors such as grammatical, spelling errors should not be given more importance.

4) While assessing figures, examiners, may give credit for principle components indicated in thefigure.

5) The figures drawn by candidate & model answer may vary. The examiner may give credit for anyqgVivalent fi gure d rawn.

5) Credit may be given step wise for numerical problems. ln some cases, the assumed contact valuesmay vary and there may be some difference in the candidate's answers and model answer.

6) ln case of some questions credit may be given by judgment on part of examiner of relevant answerbased on candidates understanding.

7\ For programming language papers, credit may be given to any other programme based onequivalent concept.

lmportant notes to examiner

WINTER - 15 EXAMINATIOI{SSubject Code: [ ]B I I Mqdel Answer- Mechanics of structure Page No- eZJ 3+

SOLUTION

+

S*o-*e nrrorner,r "l- o f ir err* f e o{ @- +"1' alngolcarrec*rb cr bocrl i*rg bose and a-Pe.d"

,l-, of lt-iarn?olcW seqUn crboqi bae

celboL{+ ryIeX

ef tlne .ir."rl f us of gY 6cn*far:

the trcacl ru+ of pVocq+fw: of ca_ q)

cl.rrgco. o-bou,i comY aa-xr'gr r'g'ibca+ d€larnum tbe a:vern a-xis a-)r co br'ck) 4h

6rn fl'rg c9lT e_ca. I s csss o - qo-l *o be-Cor cem hoo-led cr) itbou,+ cloqmaila q tbe FD.1.o-boui 4he %-tvvn q,:rar-l€ i+ jg demob

WINTER - 15 EXAMINATIONSSubject Code: l?3 ll Model Answer- Mechanics of structure Page l{o- CB lZT

SOLUTION

Seffme G lc-ar.l-r c bob y ?i yinl trrro eXcorn eWS

A bod Y r'e sCI-r'cl *o be et cas.+rc tf i+rteScol'ro 6 t'*'6 o.r'gfm ef Siz_e *rnd Sbcafe \^)

e^+wna)tl WPlfeA 44zrce ccllrs f.nq ddrrrt'5 erw +1ze)

Robbr,rrGoSo cc (rc {3.E"1 I ,

s+ oo K S lcou)altrywJ ,i-s loe_cl ed tot'+b,,

'+'< gl codtr't'C \r'rro,i"f-. 't b e. gln e*f R.a orearl f, sdr'treot\Y P.eloPo"-tr'o,pc{r[ 5 tbe. Stcrq,i

S.lTeES o( gta@4'y)

6 ^€_6 : ghne-gs e- = Sfud:n

€.1tole 4 Aqsoropb.rd-r'S f.n eJ€,a.,s: cotrrrrn *f hcd lY t h e co lu rrrn rG ?wa{eB*{l s ,larcoa'

e-nocl 'locoel .-Pptt"ol t'a *t, tt' arx-|cpl

un'l

WINTER - 15 EXAMINATIONSSubject Code: l? 3ll Model Answer- Mechanics of structure Page No- 6q/ gT

W Ecoc4

SOLUTION

4be qfiosg - sec-h'cr{) of *be wlom.r) t,s c,,ni'tlr*tP*bo #'_fth e colomn rna-tefted r's kn-{rcqa\ @c4f,.

bo rnogeln eggt e/T 4 i e..+a.,PtC ca/p d tb u_'.

*e>1'-f HooK'$ tco&J.

the- le;:ngth of cotornln ig vo{,a lanqg cas:c-ora?a'ap{ 4o i*'* ctaos s-suq;'rnd dtmenh:,lbe shoq'4&nfm1 oF coto m.^ rl i+tr.

"-l r

OPrT)W-'Qg.f)' 'g T)e44 bg -fr" l'lt.roe <> f cbtorn?n ocrtrt'g .l w-' fobtr Cl( tr''r11 co-l lT)e.

4he-. "coe-.r'#ol of tlre cotCI,')n r'*sa{ r'sry)e*%) e-

Oe-fi'"ne Slerlodezlmexs -o"co+fo . *rn") %.)v,

if '5 grx*.?tegsJ'c4

4b e, 3 I em den.D€-4-$ 4<a*1o is- a.*'-cQA. Qi-co-h'o o f Q9o\'/'!-l srtl lerog +h o f ."t,rto the- le!,6+. c-cnlltus of 31@Se-chrc/T) D

?e: TTeA

L,e- +- k-orrl.n crs Sleadeo?es5lcahno

t^J"1 ha

fuurt

WINTER - 15 EXAMINATIOI\SSubject Coder l?3 l1 Model Answer- Mechanics of structure Page No- s5/3?

SOLUTION

itrovr+iq..le bej-.oeern gTrentucul lc>

t'ffifcwl tocec,{

Goco,ol ucd lo rD?eel lotbls tv ?<*of loccclru"n t\ tD h eno I oca-e.l fS caj lour

fn ZsTo fo {ru q CffT4eo^SlocDl hu-%-h* t^+- fs lcedl gr

g?cocl oC @loLzwlo, .J ue- +c, 4rypd,s 'i'\ SlreJf dgb i@

ncpd lourJ{= P

A

LOi*e fbe, 66?rcessl ftrr sWAn @fler;arq

arn\ -ty?zi o f lo *d D

ad ?ryadocn)\\ loa4 @arK d@'? ' tn_f *1 Wn b ca,"d€CI* o F *be- lo ,*\ d

ol r'csArrun-

WII\TER - 15 EXAMII\ATIONSSubject Code: llf t1 Model Answer- Mechanics of structure PageNo-gG tgT

SOLUTION

done

zAL

tr5L (volurpe oot

Vo l vrv P; A--7 LL

Sl^rcu^ u= €ZE

Subject Code: Ift3l I

x.!"!! +

,(

WINTER - 15 EXAMINATIONSModel Answer- Mechanics of structure Page No- sZ lg+

SOLUTIOI{

fu,,n?l elnj *klO9 e tbe fl,ut'ratr frnn,lq€ q-trr,f4 yoenrnl

rDbol us l'tr) i-l-,

*_6,_€

fn = fncw &ernd r'frq fpornern\ crl b"its e-qo9 *o noorne.pt ofv Rsie.lenpte of b

6 etboq*be . nOeOta<4 cUzq'g sl nc e, ''6,e;pta<Q otx-|€

roc!-^J's. lr.af @-l- tbe Cemfu"td of tne

t > INA =

€ = Bundtn,A =+un^s tt'-, *)*jrrc a*a dr,-sli

= ol tst. o f ttre \o-o-y err ,0"r'r t t:.A" of t?re" b cii€nrqcQj,

R = R-d ius o f co^'rl or.rrg " $ .t be Ae_ fI

WINTER - 15 EXAMII\ATIONSSubject Code: l?3tl Model Answer- Mechanics of structure Page No-cid tZV

SOLUTION

zaooD Be/dh1.1 sta.ers dr';m"fulluc,Dfnn

cafi of RecfCIrn3olcorer 9o o:ed co5q0. sr,nool

&oha,ol Arie

6ecoa h/,€JlS. d isWrdi

o f ' T' Secl-t'oo u-r.

eoq -?eofio1 S

WII\TER - 15 EXAMINATIONSSubject Code: [? 3l I Model Answer- Mechanics of structure Page No-o$ l3V

SOLUTION

l {. dtW Zco rqrn 1':l orY)L+ery5.v Ao+b of colofn' d QAIUT:g 66PP) r'n9L 1o

:10{

A = Loo rdf W)

L--= 3m cgcocrfirnG = Z*lof rnfcu?e s €uje.o'g crnl7Ph^m1 lo =?

'.o Eolh enjd "f. colo hin"'l er- c\cOO w)rT)

Cu\erz'9 ryut?P1fmq 1o-* = TIkz

fcn cjoocol cert c0 lvrw f[). I* f S

L: Tf(4

T.c-T[''.fzuo)6

T ? j8,53 x ,o rYrro

?e T. Tf x 2*1t' ><1_g's3xlo

,LLxlDo rV 0L rvl

WII{TER _ 15 EXAMINATIONSSubject Code: 113 t ) Model Answer- Mechanics of structure Page No- f o lg?

SOLUTION

tk:o

f t,r>4 tbe I e-co.s+ m,L . u{ ,e ry nDrD e}^m) t *sec)Icm b antrtZ folt o q,lml .)elrt)l's'.

f lqrngel : loo rprn wer'rDovwco)l Aelt.f h1-c,\(" of t^:eb

looronD

!s lb rorol L

LgO r'1 rrl

too rnrn

/pq€ f,^q *vr-:,-ejnriCc4 @) X X a,yrt .qJXiS

O" m)"T- of I € se. c+J^ ctT) fe xT-- Axr'

WINTER _ 15 EXAMINATIONSSubject Code: l?3 t l Model Answer- Mechanics of structure Page No- lI' lgT

SOLUTION

m,t- Ru.o =tooxr8ou = l€zffilL

?- 45 Xz+.3 = -gl- 84 xl* {Dt ol2

= 4S T:.z+p = sl. gq xtd6 ft)ffi

I-4. 1 x)c = lg 2"q3 ltt * 2y -Sl. €4* to

. T,*x = 7J ZgXlb- rorD

J - gzch'aq @) "f '-Y r f4l 5.'

.ae'>

= f-\1, + L

ro3 F \" 67xto6 **lu

avv , - dr3 - zq o }r,f ,^ot# cr)

luX lo( rnroi

It \ y = l"{'4X tb " t ?-eT rb- + l., 6!-1tl1 D

frv z 3" lo {rlnn

MARKS

WINTER - 15 EXAMINATIOI\SSubject Code: f lf t

1Model Answer- Mechanics of structure Page l{o- lL lg?

SOLUTIOI{

rn o P\e-le 4cm.€crn o |zrtc,mgdar-'c"t1 col shoco" i- €'O ,t is. c ol

irre. tbe n4.:t o{" tbe o.efico.r':ndtr-ia-bs the hoqt'zud\E) cox{s . ?*agt-l, ,ll"raq

h ina*-

Y &

f: +'8L

s

q= 4X€ 2Zzc_

= g_ = +crD

eL

., r$ lr.Nriit {l*tlt:: { 7 3l \

\,1i $\'$'$. It $5 $,"x"\i!{[NA'}'I{}&

1{,iriltl-.3 rl*ve r Page No: 13 I 3T

ar) .

I_ = ,,(qAr4),.,.:,*-( ?x 1,,:3 3)G2-S)

re: *lr4

-Iep,*-:-.-&xubf

n

,-, g+s ; 6+,si + 2.4 Lg, trf ; S564 c"ft

WII{TER . 15 EXAMINATIONSSubject Code:

\? gll Model Answer- Mechanics of structure Page No- l+tT+

SOLUTION

€.e*\cy-jn k'a-?arr,dr'co\att a:*l+ theo"€_na.

f+s4 hg H "t . " f o, P l.orne Ee-C*t^crD a.bou* +b

+Wo fno\oUt\ ?<,a?.ur:d r'c.r luf cr4isl 6oeeF-e-l- t O' 'tbeno tbe- no"rnrrot of jzr*ea+rq

o-bou4 tbe *b fzd co-aqt'S ZZ lvu" fo +hlcane can>d ?u-syi-o q 4!froga h fb e intete$',

O+ )cX d'. VY ce{vJsv I'S A;vern b

tlre 4ht''rcl co,a+s zz f s ccat led cos ?olclzt,fs 4be- rrru a).,ou*f -lbg- afxJ'f

ZA- i s c dl ed ?o lco.6" rc'or'r) gn+ af jn*<ratlf{- { s dtora bv r,

l-*TtaLzz;=-L

a4e

Subject Code: l?3 U

j.

WINTER _ 15 EXAMINATIONSModel Answer- Mechanics of structure Page No- IJ 87

ol rn

SOLUTION

$efi'.rle f"l l"cef 6)ter6rn6

utfirncqle. sto-esgv- lbea'orlr'o of the- rnt o opl +h@l tbe s flenj rnerfl i e c*f,,n4"le o f@r'tb3'ko.pd t^n1 qt"td I l' g oiqdr'4 4 c

&ra.err., fg Cated -tlre o\ttpcndg slrregSo + +1"€-

u \ ft'mol*e. g hrpxS = fDcr+i m''rn \oto

"ryiq i ll cq cftro s,S-seCfi'efl

i eld s hz,e-sg f* ie defi"nol *x" +l"r* t..qj-i.o& 4be locoal e* r {eld Polot .o.,rd th

'q jmal coo ES - Secfi'cfil e/err{-. of tb e,

t'eJ4 e@E:- Yr-€-ld 1ortqr't)

crcb-ss- gecfi

lcay'a sNace-r'n - coberr; cplfi Q)*sy'a boA) qo

into cU corrsplelf* , e[rrr-tnat|bn ]herr> il c-g{n-

.not. ee)<a)rt'e if'S @\qr'-.] eh*-Pe i'

tbe, ?laa|"', s4csq g. .chjqlc p<-qolf lnr'mq cf fr$ lcn'e. o € ib e fo.ej-errep).

( 1c!-f+1 e -g

Fcca^W " f <c,of

s4-e-ag ernd @

f*n*^ "f scBd<k\ = ol#,rne*e- gtoe-ss-

\A? c.{f.,1''r-l sW

tY3l4

\4 $ \'$ '$,:fi{ I 5 t-]X,,{ i\,t IJ\A"tr'X {ih,

\'l orlcl A nsrt'cr

S( )l ,L;'l'lt)N

Fage t{* 'l{, 37

t* L{o'*c -, i,-: J o-olc - -t-tz- e- 7euy

trA-=--/o q Pq r __4 =_fltt'rcy?_

fwfe?lvLla -/*U -'f>otn- rp-1c fu-Leo?c

{=-4tE€ /3f /0-*6 Y (tilo :l qo) L7a-t/a s

=, *'8o*5* -N/rurn? - -&@ive*,ftyrb:P

* 8-o:.5;x +r &P:

e - €, 6p-t6o lfN -

,st?gs _{_-_ e<tE= ! 3it f 3xflSe:gcDx rya-u aF

= .t g 3_rg-pll l*n;u

P E--{rA:;-t-39-:29X *&"2J2

f-'-z T*TuaLillmr"e? *n

g{+A

I*wb.!e*t il*qle: lTft 1

I

I

II"-t ***I

Wtr1{TH,R * tS nXAMlN.,L,f}$i{

S6*d*$ Axesrve"r-

d: Ao-rnry\

D:* 4ut 4* {L: - 1{8 }T)'rD

Es*r L'-l xlf-: z'-l xlSz'_l XIo)_ N lfnrn)-o .l{X td I--} lnn}.e

4mno -rneJoliHolrxne tr- ir ]rtte-o- r-ui,frO .cs$wchc

r,I(tr$01_ff_--s,)lrl5b-\s\_ eulb _ I0crludcrl _dur 40_ crtrI

irt[JhttrrL- 0+ *ttro KrS

-- ToKa* -&--:, "r#Xru! 4lon w+. g- Le.=o,J 1lX r il

,*

lf1

lq

tn

;*. .'.. WINTAR * 15 EXAMINATION )

Subject Code: \ ?31 'l * Model A*nswer Page No: l8l3}-a No

*T-*-- i ---solTrroN

."- I ,vaar-:;

I

?i= 6s>csF?-gL+6cX1?\6-^03---- -1 --.1tli lr-'--t- - - j

ai Ier-=*-t\ 4e y \l2-:9t* tzF6,Q36.+ - j -l

rsr = g j tc nrd €+--* -- *l- l l'1 i

_ l rmi

1,

i

I

$'rlbjeet il*de; l?h I

WTNTER -. 15 EXAMX1{,'{'F;{}N

; Mrode$ Arnswer

&4*

}uisffr. .\i,ri.ff$ lgf

dc-)

- I - omn+dhs-+tuo-dix(Honr--oxt 6+=5o.r'llrnn&-, ri- l- 4vleo-g1mnf-J-+-fi$d dht--chan4o* in dirnam=i

siohs- o/nd*-volum(-j F-n-- r"l:o r-Drn S:-6oorqxyy

'&:._1-!DoTnfn

*$ : 6o0 TnYYJ

L= 8-Po-no,n

6t {f 6u-, I

E

W lCIf3,?5-X t61 r trr tl-1

or, - '-GD rF 0'?t X 5U

"lrY toS

gq =- 3- 6z&x lDz{

c"r5X (.- 6t

ltrl

7e l;g,o TD6D

{Y

WINTHR "* gS H,XAMt]\A'tr-{ftN*atr +

S*bjectCode: tlttt lri

i

I

S{odel Amswer

l- ONo T- -l*- soilJ'tloN - --.-l nt"rilxr'

it__*__l_ll,.lI lt.rr alaxnAa ^C l.llrr.^anlrcia\nt

$I'-*g* hr* r:e-rr lSt

-l- IOZ - -(Ji\rltrrrH)l - i rrr

--t- - _-I

---i+)--ehunogr---0t-u)lurrr-u-- - i

*: -qY-; €r** sLf *U- +I v -, ' - i

I r'1

1F',)

g-tn

I tt)

S*biect C*der I73l 'f

WINTIIR * tS I{XAVItl\;\'il}{}i\'i

; ff{odeX Anstv*n

*1 +

-€

$*a$ju.. Hsp q lsl

--:_---

- S-r:nchcrl- Tr)rl ;oF- zumno drlonochd dr$ 2'Sfn,i

- to$q- -ulhqn sulrJe$td-+o o.-'tensite - Fuute- Io KNI --_)-shorDd-_onf- alonEo.ttun --L5$0nn *3, tcducrion jn

nnodutrrn of - Qlo.rti-ii*-d&+- 'finf'C( 0 ttiJt ld1--5jqld-tflF

s{}LUl'[{}r\

!

l

l

- lu: 2;S ffI: ?Q) oTt^tnD -l

Q.r{o

; LLL'B:--X l-f NlT,'0rr rn

r,l-K*g =-+l

Suhiect ilode: l?31 )

WII{TNR. * 15 MXAMINAT-'X$I\I

k$*del Amsu*r

€--f gt;-_*:-- 3 X+ot

S()l.trTIf)f!

tr\ -

F l-\-

zlr tu_

-._*]_--

-9t A cu}'a o-L- too nnrro srdq-iioclrd-upofl hv - sf,rcstc$

---f arof,rg dhL-dffi( t diroel-ions *!ull^! dnot

tt1

tv)

| -:-s-Sl-xuF-Jr! /*6-*r tto Nlnonf e c)

]--l -Gx ^rr^--^ii-r-'. il-a=-g"il1nvrf{r)-

$*r:hj*ef Ll*r$*: l. 3l I

WINTHR. * 15 EXAMIITA'TT$Ni

; , ft'fude$ Answcr

' YiTr)-6r, 6o* r{f-mf

I

I

l----"--"I

i_I

I

I

f*I

I

l-**-**I

I

IL.--* -

i

i

t o o rnrY)i

et 6zt ,_F!v , $ Q\_,*-v'-a{ --7_.-''if---.- -E'LE

rn

lt 1

tn

Subjeet C*de: I fr3tl

WINTN,R *- 15 ITXAMTNA'TI{}N

I

F{odel Answsr Lurag* i\*:;l lkt

= --3 x t04

r"*$-r nrl--elooanqe in yotrrnnc oJ dnc euJr 6v

.

.

:

:ln. :

L

Sffi hj0*s t$c*e; [ 13 tt

9 -jt-{2,=o]- -u}ruil:- utiu*l,)e-- s}rcdoolnlg

*+-

I

,

--- --"- |I

---nrurn -s:[^D +9-.atfo- of _Bearr+ o:, shoun ia i

: =-t-J lg'fff;

i a .Fr{}

$*lt?:je*t C*de: l?31 I

WINTfiR * 15 HXAMINI\'[-f{}N:

;' M*dc[ Answens *.-#r**effi*fr(

e.s +

Prige'vr;:Zd lS>

StrP-'z-- thurn huc-colruloliory

----fP=:as+il 6o--l

oxD--sf Pe}*tr+$ -esfr'lr€rsheqki

iI --*;#^tt-r-:

; oz r')

Es ,- ?q

otn

*de: 1rut

I

:

l

1

VffF{rNR * 15 H,XAMTI\,,\'rI*F;

ffisdpi3s*,v"p-s

s(}tr-,u']'r*N

z$rdtrfl -g

4' z,r rr)

8 5 \\^{

= - $+t r: S 7LY:L-- ?o-x ?LX ry,

i_-*-lrnx : -t;8, I ffi 2f ----

olt.1

Subject C*de: l?31)

NR * 15 HXAMI]TATIT}]\

Model Answen *)nse tuq,o; qlg)

I

I

i

.r WII\{TI

rl

:lr+#i

I

I

i

--:,._t'*____.1.

i:Ii' SOI.UTIONi--_*--r--

-J-o l oerLlt dhg" pemL sf co

I

I

t\/\ i

l-l "rr r-r **-?sj].-r-*=-:S- LXJ:*)I

o = Vsi x-r 'F 1€-l_

I

- n*:_ , I rl -L-*r= t$Xr:

?S-*.-t'oil;I -r

-5-T f;ysm+ J-DcLl nf -n-F- iC onKd- "F LenuttrrI

II

t,

I

I

iI

II

I

I

---_**:=*--.{^"*I

I

I

I

I

I

I

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_____t__* __l.

i:

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1

l

l

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i

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iI

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I_r-:"*l

I

L

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tI

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l

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lI

1'

i. **{.

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I-t

!

-.i-I

II

tI

iI*+

i

I

--- " -+-.l!

t

I

III

_i

I

il

t

I.*" ..*f -t

I

t.' *-----+ -*--

I

I

t,i

-+I

Ra---:- *=s" Hd

soLUrIoN .*s ntl

&.# *

Subject Code: IZ67L

d*HN

WINTER* 15 EXAMINATION:

Model Answeri Page r{o:vl lEf

6H

,L.l

tsr--Ae-$ ffi

izfr

Lg t'(d-'ravF *g Kr-t,y).

'7-l,PPozt@+ifla- 2- s:+ r-{+ Ers) = ', 5p t<nl

-

Tm

v%)

F go'-13__a IL X^l

subject Code 17311

WINTER- 15 EXAMINATION

Slodel Answer Page I'{o:30 l3T

I t-u[qu?lihVr*."; l- '

vE Er

r -= -l-- -*--i !,$:r .l j"s+ leit af-a-:o

-

i - --lSrAaWn : BF =-t1l<,'l .-

- iS rd4fut-uqu'f c =-I!- tzrz' = 7 ut'l

| - -ls r&i,+r S#rtc-= Z:5 = 2 HN

i - -ltr"ru**i+-1-n---=J:-r8H---+K^f -- -l*af *x aWLfff-e$-O--i-Z: Lx--H--Z--=-z- t<r' -- Js ratqw- *pt-o* .D -e-2- )s-- -z-'H-rr{- - --

I "" - ^"* i,,o* u lo'lt ol- p, = -t7 * r,1xl) =

*Ig t<d

,€** u

". j*in!q":{'t {'tlqlt: : L75IL

\&'$\'& $.,&{ I5 $,, X,,\n,lIN,,\']-!{}ru

h{ qrtle I ;\ msiwe r Page l\*: 3l 137

r._) \t)

9sbi

o

26HN'Y{)

iZ SVF,#- vure:an

i,") -.9h eu{ -f.n" c^luhtb, Lffue

I

4u*

WIN'il'$,ll{ f 5 HXAl\{trN;\-tr'X{}N

M tldcl Anslv*r,',u tr,i#{:t {.ntl * LT TIL Pagc l{o,fulgf

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Model Answer

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WINTER- 15 EXAMINATION

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