verbaluri nawili - natelanarozauli.files.wordpress.com2 653007a verbaluri nawili analogiebi am...
Transcript of verbaluri nawili - natelanarozauli.files.wordpress.com2 653007a verbaluri nawili analogiebi am...
653007a
2 653007a
verbaluri nawili analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi
wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi mocemulia, aseve, mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi arsebuli mimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
1. wyali : zRva (a) varskvlavi : ca
(b) qviSa : udabno
(g) yvavili : mindori
(d) foToli : tye
2. rikulebiani : qongurebiani (a) mRvrie : gazavebuli
(b) teniani : wvimiani
(g) gamWvirvale : gamWoli
(d) ujredebiani : calxaziani
3. reklama : interesi (a) acra : imuniteti
(b) matiane : istoria
(g) amocana : miniSneba
(d) qaragma : saidumlo
4. marSruti : winaswar dasaxuli gza (a) manevri : strategia
(b) traeqtoria : moZraoba
(g) gezi : mimarTuleba
(d) orientiri : tendencia
5. burji : qvakuTxedi (a) cixe : koSki
(b) gumbaTi : saxuravi
(g) jebiri : moajiri
(d) fuZe : saZirkveli
3 653007a
winadadebebis Sevseba am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa
gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli. erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes.
savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems. 6. nuravin ityvis, rom sinamdvile _____ . aramc da aramc! _____ Zlieri poeti, rom Cveulebriv, yoveldRiur ambavSi, ubralo saganSi _____ .
(a) ar aris saintereso poetisTvis / imiT rodia / daiwyebs STagonebis wyaros
Zebnas
(b) ar aris saintereso poetisTvis / swored imiTaa / saintereso mxares SeamCnevs
da asaxavs
(g) Rirebul masalas gvaZlevs poeziisTvis / imiT rodia / ver SeZlebs STagonebis
wyaros povnas
(d) Rirebul masalas gvaZlevs poeziisTvis / swored imiTaa / eZebs saintereso
mxareebs
7. qveynis _____ ar gvaZlevs safuZvels fiqrisTvis, rom, raki qveyana _____ , akeTos yvelaferi, rac moesurveba. _____ , mas, rogorc moqalaqes, _____ ,
vidre hqonda manamde, sanam _____ qveynis moqalaqe gaxdeboda.
(a) dapyroba / Tavisuflebas kargavs, adamians aRar aqvs ufleba / marTlac /
moqmedebisTvis ufro farTo asparezi eZleva / dapyrobili
(b) gaTavisufleba / Tavisufalia, adamians aqvs ufleba / piriqiT / kidev ufro
meti sapasuxismgeblo movaleoba uCndeba / damoukidebeli da Tavisufali
(g) gaTavisufleba / Tavisufalia, adamians aRar eZleva ufleba / marTlac /
kidev ufro meti sapasuxismgeblo movaleoba uCndeba / dapyrobili
(d) dapyroba / Tavisuflebas kargavs, adamians eZleva ufleba / piriqiT /
moqmedebisTvis naklebad farTo asparezi rCeba / damoukidebeli da
Tavisufali
4 653007a
8. Zalauflebis centralizaciis _____ amtkiceben, rom mTavroba _____ ganagebs sxvadasxva tipis dasaxlebul adgilebs, _____ maTi mkvidrni Tavad SeZlebdnen
amas. es SeiZleba marTalic iyos, Tuki _____ ganaTlebiTa da aqtiurobiT
gamoirCevian, xolo _____ uswavleli, inertuli, morCilebas Cveulia.
(a) momxreebi / ukeT / vidre / centraluri xelisuflebis warmomadgenlebi /
mosaxleoba
(b) mowinaaRmdegeni / ise kargad ver / rogorc / centraluri xelisuflebis
warmomadgenlebi / mosaxleoba
(g) momxreebi / iseve kargad / rogorc / dasaxlebaTa mkvidrni / centraluri
xelisuflebis TanamSromelTa umravlesoba
(d) mowinaaRmdegeni / ukeT / vidre / dasaxlebaTa mkvidrni / centraluri
xelisuflebis TanamSromelTa umravlesoba
9. _____ , adamianebi daarwmuno, rom _____ _ maT _____ ufro iolad daainteresebT, vidre _____ .
(a) ar aris Zneli / sakuTari saqme Tavad akeTon / politikuri dapirebebiT /
TavianTive saxlis SekeTebiT
(b) ar aris Zneli / maT gasakeTebels axali da kargi mTavroba gaakeTebs /
TavianTi saqmis Tavad gakeTebis perspeqtiviT / politikuri dapirebebiT
(g) erTob rTuli amocanaa / sakuTari saqme Tavad akeTon / samefo karis
etiketis wvrilmanebiT / TavianTive saxlis SekeTebiT
(d) erTob rTuli amocanaa / maT gasakeTebels axali da kargi xelisufleba
gaakeTebs / samefo karis etiketis wvrilmanebiT / TavianTi saqmis Tavad
gakeTebis perspeqtiviT
5 653007a
logika am saxis davalebebi gansxvavdeba erTmaneTisgan monacemebisa da gamosatani
daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT SekiTxvas, romelic axlavs TiToeul davalebas, da mocemuli variantebidan airCieT Sesabamisi pasuxi.
zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva naxazis formiT. 10. mocemulia:
• yvela saTavgadasavlo romani sainteresoa. • am avtoris yvela romani saTavgadasavlo Janrisaa.
qvemoT CamoTvlilTagan romeli daskvna gamomdinareobs mocemuli debulebebidan? (a) yvela saintereso romani saTavgadasavlo Janrisaa (b) yvela saintereso romani am avtorisaa (g) mxolod saTavgadasavlo romanebia saintereso (d) am avtoris yvela romani sainteresoa 11. ana, mari, sofo da nino mrgvali magidis irgvliv sxedan. mwvanekabiani, romelic arc anaa da arc _ mari, cisferkabiansa da ninos Soris zis. TeTrkabiani ki zis vardisferkabiansa da maris Soris. qvemoT mocemulia gogonebis kabebis ferebis ori SesaZlo ganawileba: 1. ana _ vardisferi, mari _ TeTri, sofo _ mwvane, nino _ cisferi 2. ana _ TeTri, mari _ cisferi, sofo _ mwvane, nino _ vardisferi romeli maTgania SesaZlebeli amocanis pirobebis Tanaxmad? (a) pirveli (b) meore (g) arc erTi (d) SeuZlebelia dadgena 12. mocemulia sami winadadeba: I. arc erT niangs ar SeuZlia frena. II. yvela niangi zarmacia. III. arc erT zarmac cxovels ar SeuZlia frena. qvemoT CamoTvlilTagan romeli debuleba aRwers sworad am winadadebebs Soris mimarTebas? (a) I da II winadadebebidan gamomdinareobs III (b) I da III winadadebebidan gamomdinareobs II (g) II da III winadadebebidan gamomdinareobs I (d) am sami winadadebidan arc erTi ar gamomdinareobs danarCeni oridan
6 653007a
13. evoluciuri biologiis zogierTi mkvlevari spilos gansakuTrebiT didi yurebis Camoyalibebas xsnis imiT, rom didi yurebi spilos sxeulis temperaturis regulirebaSi exmareba _ yurebis moZraobis Sedegad maTSi sisxli grildeba, rac sxeulis temperaturis Semcirebasac iwvevs. qvemoT CamoTvlilTagan romeli faqtis dadastureba ganamtkicebda am varauds? (a) spilos afrikuli da aziuri saxeobebi mniSvnelovnad gansxvavdeba
erTmaneTisagan sxeulisa da yurebis zomiT, Tumca, yurebisa da sxeulis zomis Tanafardoba orive saxeobaSi erTnairia.
(b) spilos afrikuli saxeoba gacilebiT ufro socialuria da ufro aqtiurad iyenebs komunikaciisTvis bgeriT signalebs, vidre aziuri saxeoba, romelsac ufro patara yurebi da naklebad ganviTarebuli smenis aparati aqvs.
(g) spilos afrikuli da aziuri saxeobebi daaxloebiT erTnair klimatur pirobebSi arseboben, Tumca, isini mravali garegnuli niSniT gansxvavdebian erTmaneTisgan, magaliTad, bewvis sixSiriT, eSvebisa da yurebis zomiT da sxva.
(d) spilos afrikuli saxeobis saarsebo garemo ufro cxeli klimatiT xasiaTdeba, vidre aziuri saxeobisa, romelsac, mraval sxva niSanTan erTad, bevrad ufro mcire zomis yurebic ganasxvavebs afrikeli `TanamoZmisgan~.
14. mocemulia winadadebaTa wyvilebi: I. TbilisSi arc erTi sanayine ar aris `cisartyelaze~ ukeTesi.
`cisartyelaze~ ukeTesi sanayine ar arsebobs. II. ar SeiZleba manqanis daZvra, rodesac SuqniSanze wiTeli anTia.
Tu SuqniSanze wiTeli ar anTia, SeiZleba manqanis daZvra. III. yovelTvis scade, ar gaanawyeno sxva adamianebi.
yovelTvis scade, asiamovno sxva adamianebs. IV. ar aris marTali, rom guSin ar iwvima.
cdeba is, visac hgonia, rom guSin ar iwvima. romeli wyvili Sedgeba erTi da imave Sinaarsis mqone winadadebebisgan? (a) I (b) II (g) III (d) IV
7 653007a
wakiTxuli teqstis gaazreba yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
arqaikis* epoqaSi berZenTa ganfenam mTel xmelTaSua zRvis auzSi, mravalricxovani koloniebis daarsebam biZgi misca elinTa mier aRmosavluri kulturuli tradiciebis aqtiurad aTvisebas. aRmosavluri, pirvel rigSi ki egvipturi skulpturis gavleniT, TandaTan iwyebs Camoyalibebas sakuTriv elinuri qandakeba. saberZneTSi popularuli xdeba rogorc skulpturuli bareliefebi, aseve, e. w. mrgvali qandakebebi. am periodis xelovnebis ZeglebSi gamosaxul adamianebs saxeze Rimili aRbeWdviaT, arqauli Rimili, romelsac Seumcdarad SeuZlia gvikarnaxos, Tu romeli epoqis nawarmoebia Cven Tvalwin. arqaikis epoqis qandakebisTvis yvelaze niSandoblivi gaxda WabukTa anu kurosebis da qalwulTa anu koreebis mTliani qandakebebis Seqmna. arqauli** qandakebis orive tipisaTvis damaxasiaTebeli iyo mkacri frontaluroba _ arqauli figura absoluturad umoqmedoa da gamosaxulia anfasSi. qandakebis centralur areSi warmosaxviTi RerZi rom gavavloT, igi figuras or simetriul nawilad gayofs. sxeulis formebi anatomiuri TvalsazrisiT sworad aris agebuli, magram xazebis erTgvari kuTxovaneba, sxeulis nawilebis, agreTve, varcxnilobis `gaqvavebuloba~ moqandakes jer kidev ar aZlevs saSualebas, `suli STaberos Tavis qmnilebas~. SesaZloa, am miznis misaRwevad uZrav sxeulSi mas Semoaqvs erTi arsebiTi Strixi _ Rimili, romelic aris Zv. w. VIII-VI saukuneebis plastikaSi adamianis gamosaxulebis erT-erTi yvelaze ufro tipuri niSani. amgvari pirobiTi Rimili qandakebas TiTqos sicocxles aniWebs. arqaikis epoqis qandakebis erT-erT sayuradRebo nimuSad unda miviCnioT momRimari `kore broweuliT~. aq jer kidev didia aRmosavluri sqemebis gavlena, magram SeiniSneba gamosaxulebis simetriuli uZraobis darRvevis cdebic _ kores odnav moxril xelSi uWiravs broweuli. Zv. w. VI saukunidan skulptori ukve cdilobs, gamosaxos moZraoba, rac TandaTan aTavisuflebs mas frontalurobis dacvisgan da gamoqandakebul sxeuls naklebad SeboWils xdis. gvian arqaul periodSi moqandake ukve savsebiT bunebriv formebs aniWebs adamianis figuras. Zv. w. 500 wlisTvis koreTa saxidan nel-nela qreba Rimili, rac imis mauwyebelia, rom arqauli stili TandaTan adgils uTmobs klasikurs. kunZul eginaze afaias taZris frontonebs*** amkobs skulpturuli kompoziciebi, romlebic gadmoscems troas omis epizodebs. ori Zveli frontoni daaxloebiT Zv. w. 510 wliT TariRdeba, xolo mesame, romliTac Zveli aRmosavleT frontoni SeucvliaT, daaxloebiT oci wliT ufro gviandelia. dasavleTis frontonze gamosaxuli qalRmerT aTenas mSvidi, frontaluri figura kontrasts qmnis brZolis SedarebiT dinamikur scenebTan.
axal, aRmosavleTis frontonzec troas brZolebia gamokveTili, centrSi kvlav aTena Cans. TiTqos oci weli, romelic afaias taZris qandakebaTa aRmosavleTis jgufs aSorebs dasavleTis frontonis skulpturebisgan, ar aris didi dro, magram gansxvaveba maT Soris stilsa da teqnikaSi mniSvnelovania. aRmosavleTis frontonis skulpturebSi meti Tavisufleba da dinamizmia, sxeulTa modelireba gviCvenebs adamianis gamoqandakebis axal koncefcias, romelic esoden damaxasiaTebeli gaxdeba klasikuri epoqis monumenturi skulpturisaTvis. arqauli Rimili odnavRa Tu gaikiafebs zogierTi figuris bageze.
*arqaika _ berZnuli civilizaciis ganviTarebis periodi _ Zv. w. VII-VI saukuneebi.
**arqauli _ aq: igulisxmeba _ arqaikis epoqis.
***frontoni _ Senobis fasadis zeda, Cveulebriv, samkuTxa nawili.
8 653007a
15. ram Seuwyo xeli arqaikis periodis berZnuli qandakebis formirebas? (a) skulpturuli bareliefebis popularobam xmelTaSua zRvis qveynebSi (b) aRmosavluri kulturuli tradiciebis intensiurad aTvisebam (g) egvipturi e. w. mrgvali qandakebebis gavrcelebam saberZneTSi (d) xmelTaSua zRvis auzSi mravalricxovani berZnuli koloniebis arsebobam 16. ris sailustraciod aris SemoTavazebuli teqstSi qandakebis centralur areSi warmosaxviTi RerZis gavleba? raTa TvalsaCino gaxdes, rom: (a) absoluturad umoqmedo arqauli figuris sxeulis formebis simetria
darRveulia (b) arqaul figuras axasiaTebs xazebis erTgvari kuTxovaneba da sxeulis
nawilebis, magaliTad, varcxnilobis `gaqvavebuloba~ (g) arqauli qandakeba, ZiriTadad, warmodgenilia anfasSi, ar gamosaxavs moZraobas,
statikuria (d) frontaluri figurebis gamosaxva saSualebas aZlevs arqaikis periodis
moqandakes, Seqmnas dinamikuri kompoziciebi 17. arqauli periodis xelovnebis ZeglebSi gamosaxul adamianebs saxeze Rimili aRbeWdviaT, radgan: (a) es aris arsebiTi Strixi kurosebisa Tu koreebis mkacri frontalurobis
xazgasasmelad (b) es aris tipuri niSani, romelmac unda Seumcdarad gvikarnaxos ama Tu im
qandakebis Seqmnis dro (g) moqandake, savaraudod, cdilobs, am StrixiT `suli STaberos Tavis qmnilebas~ (d) moqandake cdilobs, gamoiyenos am periodis plastikur xelovnebaSi
damkvidrebuli erTgvari pirobiTi gamomsaxvelobiTi saSualebebi
18. ra funqcia aqvs teqstSi epizods _ `kore broweuliT~? (a) gamokveTs tendencias, gaTavisufldes moqandake simetriuli uZraobis
dacvisgan da gamosaxos figura anatomiuri sizustiT (b) gamokveTs tendencias, SeinarCunos moqandakem aRmosavluri sqemebis erTguleba
da daicvas figuris tradiciuli frontaluroba (g) gamokveTs or mniSvnelovan faqtors: Zveli aRmosavluri sqemebis radikalurad
Secvlis mcdelobas da kores saxidan Rimilis gaqrobas (d) gamokveTs or mniSvnelovan faqtors: tradiciuli sqemebis gavlenas arqauli
qandakebis gamokveTisas da axal niSans _ moxrili xeli `acocxlebs~ kores
9 653007a
19. afaias taZris frontonebze gamosaxulia troas omis epizodebi. dasavleTis frontonze gamosaxulia brZolaSi dacemuli meomari, romelic iRimeba, aRmosavleTis frontonzec aris gamosaxuli brZolaSi dacemuli meomari, magram is ar iRimeba. misi daZabuli sxeuli tkivils, gancdas gamoxatavs. riT SeiZleba avxsnaT es gansxvaveba? (a) dasavleTis frontonze gamosaxuli meomari brZolaSi daeca, Tumca is Zlier
metoqeze imarjvebs da iRimeba, aRmosavleTis meomari ki _ damarcxebulia (b) dasavleTis frontonze gamosaxuli dacemuli meomris Rimili am epoqisTvis
niSandoblivi Strixia, aRmosavleTis meomari ki ukve gardamaval epoqas ekuTvnis
(g) dasavleTis frontonze gamosaxuli dacemuli meomari brZolaSi marcxdeba da es simwris sicilia, aRmosavleTis meomari ki ver malavs tkivils
(d) dasavleTis frontonze gamosaxuli dacemuli meomris Rimili uCveulo detalia arqaikisaTvis, aRmosavleTis frontonis meomari ki zustad migvaniSnebs klasikuri skulpturis principebze
20. raze migvaniSnebs teqstis bolo fraza: `arqauli Rimili odnavRa Tu gaikiafebs zogierTi figuris bageze~? (a) brZolis epizodebis gadmocemisas moqandake aRar gamosaxavs momRimar
meomrebs, radgan upiratesobas aniWebs qandakebis Sinaarsis Sesabamisi emociis gamosaxvas
(b) sxeulTa modelireba gviCvenebs adamianis gamoqandakebis axal koncefcias, rac gulisxmobs frontalurobis SenarCunebas
(g) arqaul epoqaSi Camoyalibebuli xelovnebis stili da teqnika kidev ufro ixveweba klasikuri epoqis monumentur skulpturaSi
(d) arqauli epoqa adgils uTmobs klasikurs, xelovnebaSi adamianis statikur gamosaxulebas cvlis _ bunebrivi, plastikuri
10 653007a
analogiebi am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi
wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi mocemulia, aseve, mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi arsebuli mimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba. 21. akrobati : wonasworobas icavs (a) arlekini : niRabs ikeTebs
(b) komedianti : politikoss dascinis
(g) jambazi : arenaze gamodis
(d) iluzionisti : STabeWdilebas qmnis
22. apaTia : interesi (a) sasowarkveTa : imedi
(b) SiSi : riski
(g) warmateba : sixaruli
(d) eiforia : diskomforti
23. sinjara : kolba (a) gemi : kaiuta
(b) akvani : hamaki
(g) anbani : bgera
(d) TariRi : ricxvi
24. safuZveli : fundamenti (a) fena : Sre
(b) dedamiwa : qanebi
(g) kvali : nafexuri
(d) xmeleTi : miwa
25. jaWvi : jaWvuri reaqcia (a) TaRi : TaRovani gadaxurva
(b) kenWi : kenWovani daavadeba
(g) vertikali : vertikaluri RerZi
(d) sazRvari : zRvruli siCqare
11 653007a
winadadebebis Sevseba am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa
gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli. erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes.
savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems. 26. rodesac dapyrobili xalxi _____ , dampyrobi ki _ _____ , gamarjveba _____ imas, rom adre Tu gvian igi _____ da _____ miiCnevs.
(a) ganaTlebulia / naxevrad veluri / barbarosisTvis uzrunvelyofs /
civilizebulis doneze amaRldeba / dapyrobil xalxs Tavis tol-sworad
(b) naxevrad veluria / ganaTlebuli / dampyroblisaTvis sulac ar gulisxmobs /
dapyrobili xalxis ganviTarebis dones miaRwevs / mas Tavis tol-sworad
(g) ganaTlebulia / naxevrad veluri / barbarosisTvis uzrunvelyofs /
dapyrobili xalxis ganviTarebis dones daswevs / mas Tavisze ufro maRla
mdgomad
(d) naxevrad veluria / ganaTlebuli / dampyroblisaTvis sulac ar gulisxmobs /
civilizebulis doneze amaRldeba / dapyrobil xalxs Tavisze ufro maRla
mdgomad
27. _____ iqneboda, adamianTa moRvaweobis sxvadasxva sferoSi arsebuli
Tanasworoba politikis _____ gavrcelebuliyo. _____ , mravali TvalsazrisiT
_____ darCeniliyvnen da _____ mieRwiaT yvela sferoSi TanasworobisaTvis.
(a) gaugebari / sferoSic rom ar / warmoudgenelia / Tanaswori adamianebi erT
romelime sferoSi rom araTanasworni / adre Tu gvian ar
(b) gasakviri / sferoSic rom / ufro ioli warmosadgenia / Tanasworobis
miuxedavad, adamianebi politikaSi araTanasworni / odesme mainc
(g) gasakviri sul ar / sferoSic rom / ufro warmoudgenelia / uTanasworobis
miuxedavad, adamianebi uTanasworoni politikaSi mainc ar / odesme mainc
(d) gaugebari sul ar / sferoSi rom ar / ioli warmosadgenia / uTanasworobas
SeCveuli adamianebi politikaSic araTanasworni / adre Tu gvian mainc
28. zogjer ucxouri daxmarebis Sedegad warmoqmnili kavSiri iRebs _____
urTierTdamokidebulebis saxes, romelSic _____ saxelmwifoze zemoqmedebis
mniSvnelovani berketebi moepoveba. es berketebi kidev ufro _____ , roca
donori saxelmwifo avtoritaruli an totalitarulia.
(a) simetriuli / TiToeul saxelmwifos meore / araefeqturia
(b) asimetriuli / TiToeul saxelmwifos meore / efeqturia
(g) asimetriuli / donor saxelmwifos daxmarebis mimReb / Zlieria
(d) simetriuli / donor saxelmwifos daxmarebis mimReb / Zlieria
12 653007a
29. platoni sokrates miawerda poeziis Sesaxeb Semdeg azrs: is, rac poetebs leqsebis weris unars aZlevs, aris _____ instinqti an STagoneba, _____ , rasac winaswarmetyvelebsa Tu misnebTan vxvdebiT _ _____ xom TavianT saTqmels ise gvamcnoben, rom _____ esmiT misi mniSvneloba.
(a) ara sibrZne, aramed Taviseburi / raRac imis msgavsi / es ukanasknelni /
odnavadac ar
(b) Taviseburi sibrZne, da ara _ / raRac imis msgavsi / maTgan gansxvavebiT,
poetebi / odnavadac ar
(g) ara sibrZne, aramed Taviseburi / Zalian gansxvavebuli imisgan / maTgan
gansxvavebiT, poetebi / Zalian kargad
(d) Taviseburi sibrZne, da ara _ / Zalian gansxvavebuli imisgan / es
ukanasknelni / Zalian kargad
logika
am saxis davalebebi gansxvavdeba erTmaneTisgan monacemebisa da gamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT SekiTxvas, romelic axlavs TiToeul davalebas, da mocemuli variantebidan airCieT Sesabamisi pasuxi.
zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva naxazis formiT. 30. saqarTveloSi naZvis xeebis dazianebisa da gaxmobis procesma sakmaod didi masStabebi miiRo. specialistebis erTi jgufis azriT, amis ZiriTad mizezad unda miviCnioT lafniWamia xoWos gavrceleba, romelic ucxoeTidan Semotanil kedris morebs Semohyva. Tumca, zogierTi ekologi varaudobs, rom naZvebis intensiuri dazianeba ganpirobebulia xoWoebis bunebrivi mtrebis mkveTri SemcirebiT. qvemoT CamoTvlilTagan romeli faqti ganamtkicebs am varauds? (a) ucxoeTidan Semoyvanilma ciyvis erT-erTma saxeobam gandevna adgilobrivi
jiSis ciyvebi, romlebic, pirvelisgan gansxvavebiT, ar emterebodnen kodalebs da sxva frinvelebs
(b) ucxoeTidan mravlad Semoitanes sxvadasxva jiSis xis morebi, romlebsac, lafniWamias garda, xis mavnebeli mwerebis sxva saxeobebic Semohyva
(g) naZvnaris intensiuri dazianebis periods daemTxva sxva regionebidan rogorc lafniWamias, iseve kaliebis SemoWra, romlebic seriozul safrTxes uqmnis mcenareul safars
(d) xis mavneblebis gavrcelebis erT-erT mniSvnelovan faqtorad miiCneva e. w. monokulturis, anu erTi saxeobis xeebisgan Semdgari tyeebis gaSeneba, naZvnari swored monokulturuli tyis kategorias miekuTvneba
13 653007a
31. qvemoT mocemul msjelobaSi daSvebulia Secdoma logikis TvalsazrisiT:
arc erTi keTili adamiani ar aris egoisti da yvela egoisti adamiani ubeduria, maSasadame, arc erTi keTili adamiani ar aris ubeduri. qvemoT CamoTvlilTagan romeli msjeloba Seicavs imave tipis Secdomas? (a) arc erTi ciuri sxeuli ar moZraobs sinaTlis siCqariT da zogierTi ciuri
sxeulis orbita elifsuria, maSasadame, sinaTlis siCqariT moZravi arc erTi sxeulis orbita ar aris elifsuri.
(b) arc erTi reptilia ar aris Tbilsisxliani da yvela reptilia xerxemliania, maSasadame, zogierTi Tbilsisxliani cxoveli ar aris xerxemliani.
(g) zogierT balaxs samkurnalo Tvisebebi aqvs da tradiciuli medicina samkurnalo Tvisebebis mqone yvela balaxs iyenebs, maSasadame, tradiciuli medicina ar iyenebs arc erT balaxs, romelsac samkurnalo Tvisebebi ar aqvs.
(d) arc erTi kargi mecnieruli Teoria ar aris absoluturad utyuari da yvela absoluturad utyuari Teoria trivialuria, maSasadame, arc erTi kargi mecnieruli Teoria ar aris trivialuri.
32. statistikuri monacemebis mixedviT, kerZo seqtorSi dasaqmebuli specialistis Semosavali saSualod 50%-iT aRemateba imave kvalifikaciis mqone specialistis Semosavals sajaro samsaxurSi. amis miuxedavad, sajaro samsaxurSi maRali kvalifikaciis specialistebis nakleboba ar aris. amis safuZvelze eqspertma ivarauda, rom sajaro moxeleebis muSaobis ZiriTadi motivi ar aris finansuri daintereseba. qvemoT CamoTvlilTagan romeli viTareba ganamtkicebs am varauds? (a) kerZo seqtorSi dasaqmebuli specialistebisTvis Tanamdebobrivi dawinaurebis
da, Sesabamisad, anazRaurebis gazrdis albaToba ufro mcirea, vidre _ sajaro samsaxurSi dasaqmebulTaTvis
(b) sajaro samsaxurSi specialistebis kvalifikaciis mimarT ar aris imdenad maRali moTxovnebi, rogoric _ kerZo seqtorSi
(g) kerZo seqtorSi dasaqmebuli specialistebis samuSao, sazogadod, ufro stresulia, vidre sajaro samsaxurSi dasaqmebul specialistTa samuSao
(d) sajaro mosamsaxureebi damatebiTi SeRavaTebiT sargebloben, rac SedarebiT dabali xelfasebis erTgvari kompensaciaa
14 653007a
33. dabadebis dReze salomes megobarma lamazad SefuTuli kolofiT saCuqari miutana da sTxova, gamoecno, Tu ra ido masSi. salomem icis, rom saCuqari oridan erT-erTia _ xelTaTmanebis wyvili an qudi; amasTan, saCuqari an lurjia an yviTeli. kolofs aweria ori winadadeba:
• es xelTaTmanebia. • es yviTeli nivTia.
damatebiT, megobarma salomes miawoda Semdegi cnoba: Tu saCuqari lurji xelTaTmanebi an yviTeli qudia, maSin yvelaferi, rac kolofs aweria, marTalia. winaaRmdeg SemTxvevaSi ki yvelaferi, rac mas aweria, tyuilia. ra aCuqa megobarma salomes? (a) lurji xelTaTmanebi (b) yviTeli xelTaTmanebi (g) lurji qudi (d) yviTeli qudi 34. mocemulia: • Tu CineTi gazrdis kompiuteruli teqnikis eqsports, maSin taivanis an
koreis ekonomika safrTxis winaSe aRmoCndeba. • taivanis ekonomikas safrTxe ar emuqreba.
qvemoT CamoTvlilTagan romeli debulebaa aucileblad WeSmariti, Tu davuSvebT, rom mocemuli wanamZRvrebi WeSmaritia? (a) CineTi aRar gazrdis kompiuteruli teqnikis eqsports (b) koreis ekonomika safrTxis winaSe aRmoCndeba
(g) CineTi kompiuteruli teqnikis eqsports aRar gazrdis an koreis ekonomika safrTxis winaSe aRmoCndeba
(d) Tu koreis ekonomika safrTxis winaSe aRmoCndeba, CineTs kompiuteruli teqnikis eqsporti gauzrdia
15 653007a
wakiTxuli teqstis gaazreba yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
ciur sxeulTa erT-erTi yvelaze lamazi da STambeWdavi nairsaxeobaa
kometebi. Zvelad maT `kudian varskvlavebs~ uwodebdnen da xan mosalodneli ubedurebis, xanac sikeTis mauwyeblad miiCnevdnen. grZeli mnaTi kudis mqone ciuri sxeulebi zogjer gamoCndebian xolme caze da Semdeg isev gauCinardebian. kometebi, asteroidebis msgavsad, erTgvari kosmosuri narCenebia. asteroidebi im obieqtebis narCenebia, romlebic planetebad ver Camoyalibdnen. zogierTi kometac SeiZleba Camoyalibdes asteroidad, Tu is dakargavs yinulis garss da misgan mxolod myari birTvi darCeba.
mzisgan moSorebiT kometebi vizualurad ar ganirCevian asteroidebisgan. magram zogjer, rodesac isini giganti planetebis Tu maxlobeli varskvlavebis gravitaciuli SeSfoTebis gamo mimarTulebas icvlian da mzes uaxlovdebian, maTi zedapiri xurdeba, masSi Cayinuli msubuqi airebi orTqldeba da myari birTvis garSemo qmnis Rrubels – e. w. komas (rac berZnulad Tmas niSnavs – aqedanaa saxelwodeba `kometa~). mzis gamosxivebis wneva da mzis qari – misgan momdinare damuxtuli nawilakebis nakadi – moqmedeben am airze, ase vTqvaT, `uberaven~ ,,Tmas~ da warmoiqmneba e. w. kudi, romelic, Cveulebriv, mzisgan sawinaaRmdego mxaresaa mimarTuli.
kometebi, rogorc wesi, moZraoben metad gawelil orbitebze, romelTa garSemo erT bruns sxvadasxva (ramdenime wlidan ramdenime milion wlamde) dros andomeben. erT-erTi kometa, romelic dedamiwidan SeuiaraRebeli TvaliTac Cans da romelsac haleis kometa ewoda, yovel 75-76 weliwadSi erTxel gamoCndeba caze. zogierTi kometa Tavis arsebobas mzesTan an planetebTan SejaxebiT amTavrebs. ase moxda 1994 wels, rodesac iupiters Sumeiker-levis kometa daeca. es iyo pirveli SemTxveva kacobriobis istoriaSi, rodesac adamianma Tavisi TvaliT ixila ori ciuri sxeulis Sejaxeba kosmosSi. is, rac dRes esoden iSviaTia, daaxloebiT 4 miliardi wlis win, mzis sistemis Camoyalibebis dros, Cveulebrivi movlena iyo. Semdgom planetebi TandaTanobiT Camoyalibdnen da mdgomareoba stabiluri gaxda. axla Sejaxebebi, sabednierod, uaRresad iSviaTad xdeba. dedamiwaze aseTi ram ukanasknelad 1908 wels moxda, rodesac cimbirSi `tunguskis meteoriti~ Camovarda (ufro sworad, haerSive afeTqda) da 2 aTasi kvadratuli kilometris farTobze mTeli tye miwasTan gaaswora. iTvleba, rom es iyo mcire zomis kometa an misi natexi.
1986 wels haleis kometis mtvris nawilakebis analizma aCvena, rom is iyo organuli naerTebiT erT-erTi yvelaze mdidari sxeuli mzis sistemaSi. amitomac gaCnda mosazreba, rom dedamiwasTan Sejaxebisas kometebma wyali da organuli nivTierebebi – yovel SemTxvevaSi, maTi didi nawili – mzis sistemis ganapira regionebidan Semoitanes. radgan kometebi yinulis, Cayinuli airisa da myari nawilisgan Sedgeba, dedamiwaze maTi dacemisas da yinulis dnobisas gamoTavisuflebulma wyalma da airebma xeli Seuwyo sicocxlis warmoSobas Cvens planetaze. mTvaris zedapiric daserilia kometebisgan miyenebuli `WrilobebiT~. astronomebi didi xania, varaudobdnen iq wylis arsebobas, rac aSS-s kosmosuri sivrcis kvlevis saagentos erT-erTma misiam marTlac daadastura.
kometebis mier sicocxlis Semotanis Teorias yvela mecnieri ar iziarebs. skeptikosebi miiCneven, rom kometebi ver `mozidavdnen~ im raodenobis wyals, ramdenic dedamiwazea. momavali kvlevebi gviCvenebs, unda vumadlodeT Tu ara Cvens arsebobas im ciur sxeulebs, romelTa gamoCenisac adamians mravali saukunis ganmavlobaSi panikurad eSinoda.
16 653007a
35. kometebisa da asteroidebis Sedarebidan irkveva, rom: (a) asteroidebi, kometebisgan gansxvavebiT, mzes, rogorc wesi, ar uaxlovdebian
da maTze ar moqmedebs maxlobeli varskvlavebis mizidulobis Zala (b) asteroidebi da kometebi garegnulad ar gansxvavdebian erTmaneTisgan,
miuxedavad imisa, rom kometebi kosmosuri narCenebia, xolo asteroidebi – arSemdgari planetebi
(g) asteroidebs da kometebs gansxvavebuli struqtura aqvT, Tumca, garegnulad SeiZleba erTnairad gamoiyurebodnen da msgavsi warmoSobisac iyvnen
(d) asteroidebs, kometebisgan gansxvavebiT, myari birTvi aqvT, maSin rodesac kometebi mzesTan miaxloebisas orTqldebian da Rrublad iqcevian
36. qvemoT CamoTvlilTagan romeli ar aris marTebuli? iupiterTan Sumeiker-levis kometis Sejaxebis SemTxveva moyvanilia: (a) imis sailustraciod, Tu rogori SeiZleba iyos kometis sicocxlis
dasasruli (b) rogorc magaliTi imisa, ramdenad iSviaTad xdeba kometis Sejaxeba planetebTan
mas Semdeg, rac sabolood Camoyalibda Cveni mzis sistema (g) imis saCveneblad, Tu ra procesebi mimdinareobda planetebis Camoyalibebis
adreul etapebze (d) im rolis xazgasasmelad, romelsac kometebi da asteroidebi asrulebdnen
mzis sistemis formirebisas 37. teqstSi ramdenime sityva brWyalebSia Casmuli: I _ `uberaven~, II _ `Tma~, III _ `Wrilobebi~, IV _ `tunguskis meteoriti~, V _ `mozidavdnen~. qvemoT CamoTvlilTagan romelSia sworad miTiTebuli, Tu ratomaa TiToeuli maTgani Casmuli brWyalebSi? (a) II da III sityvebi gadataniTi mniSvnelobiTaa gamoyenebuli, xolo I, IV da V
kometebTan dakavSirebuli procesis xatovan aRweras emsaxureba (b) I, III da V sityvebis meSveobiT daxasiaTebulia kosmosSi mimdinare procesebi,
xolo II da IV _ kometis aRsaniSnavadaa gamoyenebuli (g) I, II, III da V sityvebi uCveulo konteqstSi _ usulo obieqtebis mimarTaa
gamoyenebuli, xolo IV _ erT-erTi kometis saxelia (d) IV – im adgilis saxelia, sadac kometa Camovarda, xolo yvela danarCeni
sityva kometebis specifikuri niSnebis aRsaweradaa gamoyenebuli
17 653007a
38. ra mimarTebaa bolo or abzacs Soris? (a) IV abzacSi xazgasmulia kometebis roli planetebze sicocxlis warmoSobaSi,
xolo V abzacSi am sakiTxis Sesaxeb gamoTqmuli mosazrebebis dadasturebis imedia gamoTqmuli
(b) IV abzacSi warmoCenilia kometebis struqturis is Taviseburebebi, romlebic garkveul hipoTezas daedo safuZvlad, V abzacSi ki am hipoTezis mimarT gamoTqmul eWvTan erTad sakiTxi Riad aris datovebuli
(g) IV da V abzacebSi arsebiTad erTsa da imave problemazea saubari, Tumca, pirvelSi es sakiTxi dadebiTadaa gadawyvetili, xolo meoreSi _ uaryofiTad
(d) orive abzacSi kometebisa da planetebis urTierTkavSirzea saubari, Tumca, IV abzacSi am kavSiris arseboba axsnilia kometebis struqturuli TaviseburebebiT, V-Si ki – mxolod Teoriuli mosazrebebis moSveliebiT
39. ra mizans emsaxureba IV abzacSi moyvanili mTvaris epizodi? (a) im varaudis uaryofas, rom kometebs SeeZloT dadamiwaze sicocxlis Semotana (b) im varaudis gamyarebas, rom kometebs SeeZloT dadamiwaze sicocxlis
warmoSobisaTvis erT-erTi umniSvnelovanesi pirobis Seqmna (g) imis Cvenebas, Tu ramdenad ufro xSirad stumrobdnen kometebi mTvares,
dedamiwisgan gansxvavebiT (d) kvlevis im meTodebis Cvenebas, romelTa meSveobiT SesaZlebelia planetebze
sicocxlis warmoSobis xelSemwyobi faqtorebis Seswavla
40. teqstis daniSnulebaa: (a) gagvacnos erT-erTi tipis ciur sxeulTa buneba da mis Sesaxeb arsebuli
varaudebi
(b) warmoaCinos kosmosuri sxeulebis gansxvavebuli arsi da maTi urTierTqmedebis SesaZlo Sedegebi
(g) ciuri sxeulebis erT-erTi uiSviaTesi warmomadgenlis magaliTze dagvanaxos, ra procesebi uZRoda win mzis sistemis Camoyalibebas
(d) dagvanaxos erT-erTi kosmosuri sxeulis SesaZlo roli dedamiwaze sicocxlis warmoSobaSi
18 653007a
Savi samuSaosTvis
19 653007a
Savi samuSaosTvis
21 653007b
maTematikuri nawili 2013
I testis maTematikur nawilze muSaobisas gaiTvaliswineT:
naxazebi, romlebic Tan erTvis zogierT davalebas, ar aris Sesrulebuli
davalebis pirobaSi miTiTebuli zomebis zusti dacviT. amitom monakveTebis
sigrZis an sxva sidideebis Sesaxeb daskvnis gamotanisas nu daeyrdnobiT naxazis
zomebs. yuradReba gaamaxvileT davalebis pirobaze;
Tu naxazze mocemuli swori xazis Sesaxeb amocanis pirobaSi damatebiT araferia
naTqvami, maSin unda CaTvaloT, rom es swori xazi wrfea an misi nawili;
testSi gamoyenebulia ricxvTa Caweris mxolod aTobiTi poziciuri sistema.
maTematikuri aRniSvnebi da formulebi:
1. nuli arc dadebiTia da arc uaryofiTi; 1 ar aris martivi ricxvi.
2. procenti: a ricxvis k% aris .
3. xarisxi: an = a · a · a · ...· a (n-jer)
an · am = an + m
an : am = an – m
(an)m = an · m
4. proporcia: Tu , maSin ad = bc.
5. siCqare: dro
manZilisiCqare
6. saSualo ariTmetikuli:
raodenoba monacemTa
jami monacemTasaSualo monacemTa
7. albaToba: Tu yvela elementaruli xdomiloba Tanabrad mosalodnelia, maSin
xdomilobis albaToba tolia am xdomilobis
xelSemwyob elementarul xdomilobaTa
raodenobis Sefardebisa elementarul
xdomilobaTa saerTo raodenobasTan.
Tu amocanis pirobaSi sawinaaRmdego araa
naTqvami, yovelTvis igulisxmeba, rom elementa-
ruli xdomilobebi Tanabrad mosalodnelia.
8. Semoklebuli gamravlebis formulebi:
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
(a + b)(a – b) = a2 – b2 9. naxazze kuTxe SeiZleba moniSnuli iyos kuTxis
gverdebs Soris Casmuli
patara rkaliT, marTi kuTxe
ki _ patara kvadratiT.
A aRniSnavs A kuTxis sidides.
10. paraleluri wrfeebi: ori paraleluri wrfis mesame
wrfiT gadakveTisas Siga jvaredina
kuTxeebi tolia: α = β. 11. samkuTxedi:
samkuTxedis kuTxeebis sidideTa jami
180°-is tolia; piTagoras Teorema:
marTkuTxa samkuTxedis
hipotenuzis sigrZis
kvadrati kaTetebis sigrZeTa
kvadratebis jamis tolia:
AB2 = AC2 + BC2
samkuTxedis farTobi samkuTxedis
gverdis sigrZisa da Sesabamisi simaRlis
namravlis naxevris tolia: . 12. oTxkuTxedi:
oTxkuTxedis kuTxeebis sidideTa jami
360°-is tolia; marTkuTxedis farTobi misi sigrZisa da
siganis namravlis tolia: S = ab;
paralelogramis farTobi misi gverdis
sigrZisa da am gverdis Sesabamisi simaRlis
namravlis tolia: S = ah.
13. wre, wrewiri: wrewiris sigrZe misi
radiusis mixedviT gamoiTvleba
formuliT: L = 2r;
ricxvi, measedis sizustiT, 3,14-is tolia; r radiusiani wris farTobi
gamoiTvleba formuliT: S = r2.
14. marTkuTxa paralelepipedi: marTkuTxa paralelepipedis
moculoba misi sigrZis, siganisa da
simaRlis namravlis tolia: V = abc;
kubis SemTxvevaSi: a = b = c.
22 653007b
raodenobrivi Sedareba SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.
Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
41.
(a) (b) (g) (d)
42.
n naturaluri ricxvia.
(a) (b) (g) (d)
43.
kubis yvela wibos sigrZeTa jamia 42 sm.
(a) (b) (g) (d)
32 68,0
1
6n
25n
14 smkubis erTi waxnagis perimetri
23 653007b
44.
(a) (b) (g) (d)
45.
funTuSa 40 TeTri Rirs. xaWapuri 80 TeTriT Zviria Rvezelze.
(a) (b) (g) (d)
46.
marTkuTxedis didi gverdis sigrZea a, xolo
diagonalisa _ d.
(a) (b) (g) (d)
700samniSna ricxvi, romlis
cifrTa jami 25-is tolia
1 xaWapuris, 3 Rvezelisa da
2 funTuSis Rirebuleba
2 xaWapuris da 2 Rvezelis Rirebuleba
da
24 653007b
amocanebi
47. 12 milioni metia 4 milion 700 aTasze: (a) 6 milion 700 aTasiT (b) 7 milion 300 aTasiT (g) 7 milion 700 aTasiT (d) 8 milion 300 aTasiT (e) 8 milion 700 aTasiT
48. wriul diagramaze mocemulia, qalaqis mcxovrebTa ramden procents ar aqvs
ganaTleba da ramden procents aqvs
dawyebiTi, arasruli saSualo, saSualo
zogadi, saSualo profesiuli Tu
umaRlesi ganaTleba.
qalaqis mcxovrebTa ramden procents
aqvs umaRlesi ganaTleba?
(a) 22,5% (b) 22,8% (g) 23,2% (d) 23,5% (e) 24,3%
49. 6 wlis win ana 28 wlis iyo. ramdeni wlis iyo ana x wlis win? (a) 34x
(b) 22x
(g) x34
(d) x22
(e) x22
25 653007b
50. ABCD marTkuTxedis AD gverdis sigrZea 12 sm, xolo AB-si _ 8 sm. M wertili BC gverdis Suawertilia. ris tolia AM monakveTis sigrZe?
(a) 8 sm (b) 9 sm (g) 10 sm (d) 11 sm (e) 12 sm
51. maRaziaSi 1 kilogrami vaSli 5 lari Rirda, gargari _ 2-jer naklebi. ninom am maRaziaSi vaSli da gargari iyida, romelTa saerTo wona 6 kilogrami iyo. vaSlis wona nayidi xilis wonis mesameds Seadgenda. sul ramdeni laris xili
uyidia ninos? (a) 12,5 (b) 14 (g) 16,5 (d) 18 (e) 20
26 653007b
monacemTa analizi erT-erT evropul qveyanaSi Catarda gamokiTxva, romlis mizani iyo sxvadasxva
sferoSi dasaqmebul menejerTa sakuTari profesiuli warmatebiT kmayofilebis
xarisxis dadgena. gamokiTxvaSi monawileobdnen ganaTlebis, jandacvis, ekonomikisa
da soflis meurneobis sferoSi dasaqmebuli menejerebi _ sul 150 respondenti. gamokiTxulTa naxevari qali iyo, naxevari _ mamakaci.
pirvel diagramaze warmodgenilia sxvadasxva sferoSi dasaqmebul respondentTa
ganawileba profesiuli warmatebiT kmayofilebis xarisxis mixedviT.
meore diagramaze ki warmodgenilia sxvadasxva sqesis respondentTa ganawileba
profesiuli warmatebiT kmayofilebis xarisxis mixedviT.
diagramebis mixedviT upasuxeT Semdeg 4 SekiTxvas:
52. romeli sferoa iseTi, romelSic dasaqmebul menejerTagan arc erTi araa Zalian kmayofili sakuTari profesiuli warmatebiT? (a) ganaTleba
(b) jandacva
(g) ekonomika
(d) soflis meurneoba
(e) arc erTi
27 653007b
53. ramdeniT aRemateba menejerTa raodenoba, romlebic sakuTari profesiuli warmatebiT naklebad kmayofilni arian, im menejerTa raodenobas, romlebic
sakuTari profesiuli warmatebiT Zalian ukmayofiloni arian? (a) 8-iT (b) 10-iT (g) 12-iT (d) 14-iT (e) 16-iT 54. kmayofilebis romeli xarisxobrivi kategoriis SemTxvevaSia dasaqmebul
menejer qalTa raodenoba 5-iT meti menejer mamakacTa raodenobaze? (a) Zalian ukmayofilo
(b) naklebad kmayofili
(g) kmayofili
(d) Zalian kmayofili
(e) arc erTi kategoriis SemTxvevaSi
55. gamokiTxul menejer mamakacTagan sakuTari profesiuli warmatebiT Zalian
kmayofilni aRmoCndnen soflis meurneobis sferoSi dasaqmebuli 6 menejeri da ekonomikis sferoSi dasaqmebuli 15 menejeri. ris tolia ganaTlebis sferoSi
dasaqmebul menejer mamakacTa raodenoba, romlebic sakuTari profesiuli
warmatebiT Zalian kmayofilni arian? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5
amocanebi
56. 501·126·39·48·26c . romeli cifriT bolovdeba c ricxvis cifruli Canaweri? (a) 0 (b) 2 (g) 4 (d) 6 (e) 8
28 653007b
57. kvadratis farTobia 36 sm2. misi TiToeuli gverdi
dayofilia sam tol nawilad da dayofis wertilebi
SeerTebulia monakveTebiT (ix. naxazi). ris tolia
miRebuli rvakuTxedis farTobi? (a) 24 sm2
(b) 26 sm2
(g) 28 sm2
(d) 30 sm2
(e) 32 sm2
58. traqtoriT miwis nakveTis 125 nawilis moxvnas 2,5 saaTi sWirdeba. ramdeni
saaTia saWiro am traqtoriT imave nakveTis 32 nawilis mosaxnavad?
(a) 3 (b) 3,5 (g) 4 (d) 4,5 (e) 5
59. m, n da k erTmaneTis momdevno naturaluri ricxvebia, amasTan knm .
CamoTvlilTagan romeli winadadebaa marTebuli? I. km luwia
II. kn kentia
III. kn · luwia
(a) mxolod I
(b) mxolod II
(g) mxolod I da II
(d) mxolod II da III
(e) I, II da III
60. ori qalaqidan erTmaneTis Sesaxvedrad ori avtobusi erTdroulad gamovida. orive avtobusi Tanabari siCqariT, Seferxebebis gareSe moZraobda. pirvelma
avtobusma, romlis siCqare 70 km/sT iyo, Sexvedramde 1,4-jer meti manZili gaiara, vidre meorem. ris toli iyo meore avtobusis siCqare? (a) 50 km/sT (b) 60 km/sT (g) 65 km/sT (d) 80 km/sT (e) 98 km/sT
29 653007b
raodenobrivi Sedareba
SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.
Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
61. m naturaluri ricxvia.
(a) (b) (g) (d)
62.
6, 12, 7, ... mimdevrobis wevrebs nika da Tamari rig-rigobiT werdnen. pirveli wevri Cawera nikam, meore
_ Tamarma da ase Semdeg. Tamaris mier Cawerili
yoveli wevri mimdevrobis wina wevrze 2-jer meti
iyo, xolo nikas mier Cawerili _ wina wevrze 5-iTnaklebi.
(a) (b) (g) (d)
63.
wris centri im marTkuTxedis erT-
erT wveros emTxveva, romlis erTi
gverdi wris radiusis tolia,
xolo meore _ diametrisa.
(a) (b) (g) (d)
m-is 4-ze gayofisas miRebuli naSTi
m-is 8-ze gayofisas miRebuli naSTi
mimdevrobis me-4 wevri mimdevrobis me-7 wevri
marTkuTxedis farTobiwris farTobi
30 653007b
64.
bostneuliT savse 10 erTnairi yuTis gadatanas
4 urika dasWirda. TiToeuli urikiT 150 kilo-
gramamde tvirTis gadatanaa SesaZlebeli.
(a) (b) (g) (d)
65.
ujridan, romelSic 3 TeTri da ramdenime wiTeli burTulaa, unda amoiRon erTi burTula.
albaToba imisa, rom ujridan amoRebuli burTula
wiTeli iqneba, metia -ze.
(a) (b) (g) (d)
amocanebi
66. saklebi 9-iT metia maklebze, xolo maklebi 9-iT metia sxvaobaze. ris tolia saklebi?
(a) 18-is (b) 24-is (g) 27-is (d) 30-is (e) 36-is
32
wiTeli burTulebis
raodenoba 8
gadatanili bostneulis wona 400 kg
31 653007b
67. sarben biliks wesieri xuTkuTxedis forma aqvs (ix. naxazi). bilikis sigrZe 250 metria. sportsmenma sirbili daiwyo A wverodan isriT miTiTebuli mimarTulebiT. bilikis romel monakveTze aRmoCndeba sportsmeni
680 metris garbenis Semdeg? (a) AB -ze (b) BC -ze (g) CD -ze (d) DE -ze (e) EA -ze
68. im naturaluri ricxvebidan, romlebic metia 22-ze, magram naklebia 84-ze, ramdenia iseTi, romlis 5-ze gayofisas miRebuli naSTi 3-is toli iqneba?
(a) 13 (b) 12 (g) 11 (d) 10 (e) 9
69. nakrZalSi mxolod naZvis da fiWvis xeebia. fiWvis xeebis raodenobis
Sefardeba naZvis xeebis raodenobasTan 52 -is tolia. nakrZalSi xeebis saerTo
raodenobis ra nawilia naZvis xeebis raodenoba? (a)
31
(b) 53
(g) 43
(d) 75
(e) 65
32 653007b
70. m da n iseTi ricxvebia, rom 1212 mn . qvemoT CamoTvlilTagan romeli
mimarTeba ar SeiZleba iyos marTebuli? (a) 1 nm
(b) 3mn
(g) 1 mn
(d) 1 mn
(e) nm 4
71. pirveli marTkuTxedis sigrZe 2-jer metia meore marTkuTxedis sigrZeze, xolo farTobi 6-jer naklebia meore marTkuTxedis farTobze. ramdenjer naklebia
pirveli marTkuTxedis sigane meore marTkuTxedis siganeze? (a) 12-jer (b) 8-jer (g) 4-jer (d) 3-jer (e) 2-jer
monacemTa sakmarisoba
72. fakultetze sul 600 studenti swavlobs.
mocemulia ori piroba:
I. studentTa 151 nawili ucxoelia.
II. ucxoeli studentebis 41 nawili gogonebia.
imis gasarkvevad, Tu ramdeni ucxoeli studenti vaJi swavlobs fakultetze:
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve, II piroba
(e) mocemuli pirobebi ar aris sakmarisi
33 653007b
73. ABCD oTxkuTxedia.
mocemulia ori piroba:
I. 100BA .
II. 200CB .
imis gasarkvevad, Tu ris tolia CA :
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve, II piroba
(e) mocemuli pirobebi ar aris sakmarisi
74. x da y ricxvebis jami 8-is tolia.
mocemulia ori piroba:
I. x-is Sefardeba y-Tan 3-is tolia. II. x-isa da y-is sxvaoba 4-is tolia.
imis gasarkvevad, Tu ris tolia yx 2 :
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve, II piroba
(e) mocemuli pirobebi ar aris sakmarisi
75. ninos Svilebidan yvelaze umcrosia eka, romelic 3 wlisaa, yvelaze ufrosi ki _ sandro. maT garda ninos kidev hyavs 2 gogona da 1 vaJi, romelTa saSualo asaki 13 welia.
mocemulia Semdegi ori piroba:
I. vaJebs Soris asakSi gansxvaveba 5 welia. II. ninos Svilebis saSualo asaki 12 welia.
imis gasarkvevad, Tu ramdeni wlisaa sandro:
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve, II piroba
(e) mocemuli pirobebi ar aris sakmarisi
34 653007b
amocanebi
76. Tornikes gasuli wlis ganmavlobaSi Tavisi xelfasis 6% bankSi Sehqonda. wels Tornikes xelfasi 20%-iT gaezarda, ris gamoc man bankSi Tavisi xelfasis 9%-is Setana daiwyo. gasuli wlis ganmavlobaSi bankSi Setanili Tanxis ramdeni procenti iqneba Tornikes mier am wlis ganmavlobaSi Setanili Tanxis
raodenoba? (a) 120%
(b) 135% (g) 150% (d) 165% (e) 180%
77. nebismieri naturaluri x ricxvisaTvis x -iT aRniSnulia
ricxvi, romelic miiReba Semdegi
sqemis mixedviT:
magaliTad, sqemis mixedviT 2642·3·55 .
ris tolia 49 ? (a) 26 (b) 32 (g) 35 (d) 40 (e) 45 78. 4 m siRrmis mqone kubis formis auzis 8
1 nawili avsebulia wyliT. ris tolia
aseve kubis formis mqone ufro mcire auzis siRrme, Tu did auzSi arsebuli
wyliT mcire auzi bolomde ivseba?
(a) 21 m
(b) 1 m
(g) 211 m
(d) 2 m
(e) 212 m
35 653007b
79. A, B, C da D ricxvTa RerZis sxvadasxva wertilebia, xolo a, b, c da d, Sesabamisad, maTi koordinatebia. B wertili Tanabradaa daSorebuli A da D wertilebidan, xolo C wertili _ A da B wertilebidan. ris tolia
badc ?
(a) 31
(b) 32
(g) 43
(d) 34
(e) 23
80. ansamblis wevrTa 15%-s biWebi Seadgendnen. roca ansambls 12 axali wevri daemata, biWebis raodenoba gaizarda, procentuli wili ki Semcirda. ramdeni
gogona daemata ansambls? (a) 11 (b) 10 (g) 9 (d) 8 (e) 7