d - aris.gecdeba is, visac hgonia, rom xval kargi amindi iqneba. 12. mocemulia: • cvens mxaresi...

654009a

2 654009a

verbaluri nawili analogiebi

am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi

wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. maT gaswvriv

mocemulia sityva, romelsac savaraudo pasuxebidan unda SevusabamoT erT-erTi

varianti ise, rom sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi

arsebuli mimarTebis msgavsi (analogiuri) iyos.

1. aigivebs : identificirebuli aRadgens : (a) adekvaturi

(b) gameorebuli

(g) antikvaruli

(d) mimsgavsebuli

(e) restavrirebuli

2. Caanacvla : kaskadiori ukarnaxa : (a) reJisori

(b) dubliori

(g) sufliori

(d) partniori

(e) dekoratori

3. zambara : spirali dedamiwa : (a) RerZi

(b) sfero

(g) ganedi

(d) polusi

(e) ekvatori

4. wisqvili : puri teleskopi : (a) cis ruka

(b) galaqtika

(g) observatoria

(d) Tanavarskvlavedi

(e) meteoritebis wvima

5. avangarduli xelovneba : klasikuri mistika : (a) magiuri

(b) miTosuri

(g) ritualuri

(d) realisturi

(e) tradiciuli

3 654009a

6. gacuravs : isrialebs gamoZerwavs : (a) formas miscems

(b) Tixas mozels

(g) miamsgavsebs

(d) SeRebavs

(e) daxatavs

winadadebebis Sevseba

mocemulia winadadebebi, romlebSic gamotovebulia ramdenime sityva.

gamotovebuli sityvebi winadadebaSi xazebiTaa aRniSnuli. erTi xazi zogjer erT

sityvas gulisxmobs, zogjer ki _ ramdenimes.

savaraudo pasuxTa yoveli varianti Seicavs sityvaTa jgufs, romlis

nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is

varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis

gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.

7. erTi cnobili mwerlis damokidebuleba xelovnebis mimarT kargad Cans mis Semdeg mosazrebaSi: `zogjer amboben, rom xelovnebis esa Tu is nawarmoebi

_____ gaugebaria adamianTa _____ nawilisaTvis. Cemi azriT ki, es iseTive

absurdia, rogorc imis Tqma, rom esa Tu is sakvebi Zalian _____ adamianTa

_____ .~ (a) Zalian kargia, magram / udidesi / sasargebloa, magram / absolutur

umravlesobas vnebs

(b) sruliad banaluria da, amitom, / garkveuli / ugemuria, magram mxolod /

umciresobas vnebs

(g) Zalian daxvewilia da, amitom, / didi / specifikuria da, amitom, mxolod /

umciresobas moswons

(d) sruliad banaluria, magram / mxolod mcire / gemrielia da, amitom, /

umravlesobas moswons 8. adamianebs Soris Sromis ganawilebam yovelgvar warmoebas, xelobasa Tu xelosnobas moutana sargebloba: rodesac erTi adamiani _____ , aramed

TiToeuli adamiani _____ , Tavisi Sesrulebis wesiT SesamCnevad rom _____ ,

yoveli saqme ufro _____ sruldeba. (a) ara mxolod erTi tipis saqmes akeTebs / Semoifargleba garkveuli amocaniT /

gansxvavdeba sxva amocanebisagan / Znelad

(b) ki aRar akeTebs yvelafers / Semoifargleba garkveuli amocaniT /

gansxvavdeba sxva amocanebisagan / efeqturad

(g) ara mxolod mraval sxvadasxva amocanas eWideba / cdilobs, iseTi saqmeebi

akeTos / ar gansxvavdeba erTmaneTisagan / Znelad

(d) mxolod erT amocanas ki ar asrulebs / dakavebulia mravali sxvadasxva

saqmiT / ar gansxvavdeba erTmaneTisagan / efeqturad

4 654009a

9. cxovelTa samyaros zogierT warmomadgenels _____ unari. cnobili fsiqologi v. keleri eqsperimentuli gziT mivida daskvnamde, rom maimunis erT

jiSs, Simpanzes, axasiaTebs _____ . aqedan _____ im daskvnis gamotana, rom

maimuni imgvaradve _____ , rogorc adamiani. Tumca, is ki cxadia, rom maimunSi

adamianuri azrovnebis Canasaxi eqsperimentulad _____ .

(a) SeuZlebelia, hqondes azrovnebis raime / gonivruli qceva, magram ara imave

rigis, rogoric adamians / araviTar SemTxvevaSi ar SeiZleba / ar azrovnebs

/ ukve dasturdeba

(b) SesaZloa, hqondes azrovnebis garkveuli / gonivruli qceva, magram ara imave

rigis, rogoric adamians / savsebiT SesaZlebelia / azrovnebs / mainc ar

dasturdeba

(g) SeuZlebelia, ar hqondes azrovnebis raime / gonivruli qceva imave rigisa,

rogoric adamians / savsebiT SesaZlebelia / ver azrovnebs / mainc ver

dasturdeba

(d) SesaZloa, hqondes azrovnebis garkveuli / imave rigis gonivruli qceva,

rogoric adamians / araviTar SemTxvevaSi ar SeiZleba / azrovnebs / ukve

dasturdeba

10. mecnierTa Seswavlis sagania _____ faqtebis ori rigi: faqtebi, romlebic _____ , rogorebic _____ , da faqtebi, romlebic _____ , anu faqtebi,

rogorc normaluri da rogorc paTologiuri movlenebi.

(a) erTmaneTis msgavsi / ar arian iseTni / unda iyvnen / unda yofiliyvnen

zustad iseTni, rogorebic arian

(b) erTmaneTisgan sruliad gansxvavebuli / arian zustad iseTni / ar unda

iyvnen / arian imis msgavsni, rogorebic ar unda yofiliyvnen

(g) erTmaneTis msgavsi / ar arian imisgan gansxvavebulni / unda yofiliyvnen / ar

arian iseTni, rogorebic unda iyvnen

(d) erTmaneTisgan sruliad gansxvavebuli / arian zustad iseTni / unda iyvnen /

unda yofiliyvnen ara iseTni, rogorebic arian

5 654009a

logika

am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari 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 an diagramis formiT.

11. winadadebaTa qvemoT mocemuli wyvilebidan romeli Sedgeba erTi da imave Sinaarsis mqone winadadebebisgan?

(a) yovelTvis gvaxsovdes, rom madlierebaze metad araferi amSvenebs adamians.

nurasodes dagvaviwydeba, rom umadurebaze uaresi araferia.

(b) arc erTi argentineli fexburTeli ar aris maradonaze ukeTesi.

maradonaze ukeTesi fexburTeli ar arsebobs.

(g) sarecxi manqana ar muSaobs, Tuki mas wyali ar miewodeba.

Tuki sarecxi manqana muSaobs, mas wyali miewodeba.

(d) ukeTesia, Tu saqme droze gakeTdeba da ara _ dagvianebiT.

ukeTesia, saqme gvian mainc gakeTdes, vidre arasodes.

(e) ar aris marTali, rom xval kargi amindi ar iqneba.

cdeba is, visac hgonia, rom xval kargi amindi iqneba.

12. mocemulia: • Cvens mxareSi zogierTi mdinare Zalian swrafia. • yvela swraf mdinareSi, romelic Cvens mxareSi Camoedineba, wyali Zalian

civia.

• Cvens mxareSi yvela mdinaris piras xarobs mayvali.

qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebebidan?

(a) yvela Zalian swrafi mdinaris piras xarobs mayvali.

(b) Cvens mxareSi zogierTi mdinare swrafi ar aris.

(g) Cvens mxareSi zogierTi mdinaris wyali ar aris Zalian civi.

(d) zogierT mdinareSi, romlis pirasac mayvali xarobs, wyali Zalian civia.

(e) yvela Zalian swrafi mdinare, romelSic wyali Zalian civia, Cvens mxareSi

Camoedineba.

6 654009a

13. bolo aTwleulebis ganmavlobaSi dasavleT evropisa da Crdilo amerikis umaRles saswavleblebSi mniSvnelovnad Semcirda humanitaruli dargebis

studentTa raodenoba. zogierTma mkvlevarma es tendencia imiT axsna, rom bolo

aTwleulebSi, profesiul SromaSi qalTa CarTulobis zrdasTan erTad, qal

studentTa sul ufro didi wili irCevs specialobad arahumanitarul dargebs.

qvemoT CamoTvlilTagan romel viTarebas SeiZleba efuZnebodes aRniSnuli axsna?

(a) bolo saukunis ganmavlobaSi Sromis bazarze stabilurad mcirdeba

damqiravebelTa moTxovna humanitarul ganaTlebaze.

(b) humanitaruli dargebis garda, bolo aTwleulebSi aseve mniSvnelovnad

Semcirda studentTa raodenoba zogierT sabunebismetyvelo specialobaze.

(g) statistikuri monacemebis Tanaxmad, humanitaruli ganaTlebis mqone pirTa

Soris yvelaze meti adamiania dasaqmebuli sakuTari specialobiT.

(d) kvlevebis Sedegad, SromiT kmayofilebis gansakuTrebiT maRali done

dafiqsirda humanitaruli ganaTlebis mqone da sakuTari specialobiT

dasaqmebul pirTa Soris.

(e) ekonomikuri kvlevebis Tanaxmad, bolo aTwleulebis ganmavlobaSi

organizaciebSi Zalian mkveTrad gaizarda gansxvaveba xelmZRvanel poziciebze

dasaqmebulTa da rigiT TanamSromelTa anazRaurebas Soris.

14. ana da niko msjeloben: ana: vSiSob, niniko avad gaxda.

niko: ratom fiqrob ase?

ana: vici, rom avad gaxda an Zalian bevri saqme aqvs, Torem dRes varjiSs ar

gaacdenda.

niko: da ratom fiqrob, rom swored avad gaxda?

ana: miTxra, rom Tu Zalian bevri saqme eqneboda, maSin guSin klubSi ver

wavidoda.

qvemoT CamoTvlilTagan romeli mtkiceba unda daamatos anam, raTa misi

argumentacia damajerebeli iyos?

(a) ninikos Zalian bevri saqme aqvs da guSin klubSi ar wasula.

(b) ninikos Zalian bevri saqme aqvs an guSin klubSi wavida.

(g) niniko guSin klubSi ar wasula.

(d) ninikos Zalian bevri saqme aqvs.

(e) niniko guSin klubSi wavida.

7 654009a

wakiTxuli teqstis gaazreba yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

ramdenime wlis win TbilisSi erT ojaxSi stumrobisas cnobilma mkvlevarma,

xelovnebaTmcodne dali lebaniZem, yuradReba miaqcia pikasos grafikul

namuSevars, `don-kixots~. rogorc maspinZelma auxsna, es liTografia mas

ucxoeTSi mcxovrebma axlobelma aCuqa. mkvlevari gaakvirva molurjo-momwvano

tonalobam, romlis msgavsi `don-kixotis~ cnobil versiebs Soris manamde ar

enaxa. yvelaferi Zalian Zveli Canda: qaRaldis damcavi arSiac, CarCoc,

CaJangebuli lursmnebic. gamadidebeli miniT daTvalierebis Semdeg mkvlevars eWvi

gauCnda, rom mis win originali iyo. pikasos am naxats msoflio kargad icnobs.

misi originali dakargulad iTvleba.

pikasos `don-kixoti~ 1955 wlis 11 agvistos Seiqmna. namuSevari mieZRvna

servantesis `don-kixotis~ I tomis gamocemis 350-e wlisTavs. mas Semdeg es

grafikuli naxati Zalian xSirad gamoiyeneba servantesis wignis ilustrirebisTvis.

igi mxatvars franguli yovelkvireuli literaturuli gazeTisTvis SeukveTa

cnobilma mweralma, lui aragonma, romelic im dros am gazeTis redaqtori

gaxldaT. gazeTis es nomeri, ZiriTadad, servantesis Semoqmedebas daeTmo, bolo,

meTormete gverdze ki pikasos naxati daibeWda. originalis kvali mas Semdeg gaqra.

male es grafikuli namuSevari Zalian popularuli gaxda. mas iyenebdnen

afiSebsa da sxvadasxva poligrafiul gamocemaSi. cxadia, gazeTSi dabeWdili

naxati Sav-TeTri iyo, Sav-TeTrad beWdavdnen sxvaganac, radgan swored gazeTidan

aRebul versias iyenebdnen; originalTan Sedarebis saSualeba ar arsebobda da

fiqrobdnen, rom is an tuSiT, an tuSiTa da funjiT, an naxSiriT iyo

Sesrulebuli. qarTveli mkvlevris azriT ki, originali Sesrulebulia

flomasteriT da arc Sav-TeTria, ori feris flomasteriT aris daxatuli _ Ria

momwvano-molurjo da ufro intensiuri lurjiT.

sainteresoa, romeli wlidan xatavda pikaso flomasteriT. cnobilia, rom

flomasteri 1960 wlidan aris masobriv warmoebaSi. iqneb pikasosTvis gacilebiT

adre gaxda xelmisawvdomi es axali teqnologia? momdevno wlebSi mas sxva

naxatebic aqvs Sesrulebuli flomasteriT. magram xom SeiZleboda, wlebis win

viRacas amave teqnologiiT Seesrulebina `don kixotis~ asli?

dali lebaniZis azriT, `xazebis wyobis amgvari Tavisufleba pikasosTvis

aris damaxasiaTebeli. gansazRvrul areSi xatvis aseTi spontanuri bunebis

gameoreba an kopireba sruliad SeuZlebelia.~ misi TqmiT, naxatis mxolod erTi

tonalobiT gamoqveyneba gazeTis specifikiT iyo ganpirobebuli. masSi feradi

ilustraciebi ar ibeWdeboda. mkvlevarma gaakeTa savaraudo originalis

kompiuteruli Sav-TeTri anabeWdi, romelic absoluturi sizustiT imeorebda

`don-kixotis~ sayovelTaod gavrcelebul versias. amasTan, TbilisSi aRmoCenili

namuSevrisa da frangul literaturul gazeTSi dabeWdili `don-kixotis~ zomebi

zustad daemTxva erTmaneTs. aqve isic unda aRvniSnoT, rom naxatis

originalurobis dadasturebas specialuri komisiis daskvna sWirdeba, romelic

jer ar Cans.

8 654009a

15. teqstis Tanaxmad, grafikuli namuSevari `don-kixoti~:

(a) ucxoeTSi aCuqes mis amJamindel qarTvel patrons; is pikasos `don-kixotis~

dakarguli originali aRmoCnda.

(b) TbilisSi aRmoaCina erTma mkvlevarma; naxats Tanamedrove CarCo da qaRaldis

damcavi arSia aqvs.

(g) msofliosTvis kargad aris cnobili, Tumca, TbilisSi aRmoCenili naxati

cnobili versiisgan tonalobiT gansxvavdeba.

(d) pikasos ilustraciis saukeTeso asli aRmoCnda, rac qarTvelma mkvlevarma

daTvalierebisTanave ganacxada.

16. ratom egonaT, rom pikasos `don-kixoti~ Sesrulebuli iyo tuSiT, an tuSiTa da funjiT, an naxSiriT?

(a) msjelobdnen gazeTSi dabeWdili Sav-TeTri versiis mixedviT, radgan

originali ar hqondaT nanaxi.

(b) im periodSi literaturuli gazeTisTvis SekveTebs ZiriTadad am

teqnologiiT asrulebdnen.

(g) poligrafiul gamocemebSi ufro xSirad tuSiTa da funjiT Sesrulebul

naxatebs iyenebdnen.

(d) originalis tonaloba momwvano-molurjoa da pikaso xSirad xatavda mwvane an

lurji tuSiT.

17. mkvlevarma dali lebaniZem iv montanis biografiul wignSi moiZia aseTi Canaweri: `1951 wels, rodesac simona siniore da iv montani daqorwindnen, pikasom

maT saCuqrad miarTva flomasteriT Sesrulebuli naxati, rac im dros

iSviaTobas warmoadgenda~.

teqstis gaTvaliswinebiT, qvemoT CamoTvlilTagan romlis argumentad SeiZleba

gamoviyenoT es informacia? (a) flomasteris masobrivi warmoeba 1960 wlidan ki ar dawyebula, aramed,

rogorc Cans, ufro adre _ 1951 wlidan.

(b) 1960 wlis Semdeg pikasos bevri namuSevari aqvs daxatuli flomasteriT;

SesaZloa lui aragonis SekveTac am teqnikiT Seasrula.

(g) radgan flomasteri 1951 wels iSviaTobas warmoadgenda, naklebad savaraudoa,

rom pikasos grafikuli naxati am teqnikiT Seesrulebina.

(d) radgan pikasos flomasteriT 1955 wlamdec dauxatavs, SeiZleba davuSvaT,

rom `don-kixoti~ amave teqnologiiT Seasrula.

9 654009a

18. ras gulisxmobs mkvlevris sityvebi, romlebic bolo abzacSia citirebuli? es grafikuli namuSevari:

(a) ar SeiZleba iyos asli, radgan masSi Cans pikasos xatvis uSualo,

TavisTavadi buneba, risi mibaZvac, miT umetes, am formatze, TiTqmis

gamoricxulia.

(b) SeuZlebelia asli ar iyos, radgan aq ar Cans pikasos xatvis Tavisufali

buneba, gansazRvrul areSi zustad Sesrulebuli originaliseuli xazebis

wyobiT.

(g) ar SeiZleba iyos asli, radgan masSi Cans pikasos xatvis spontanuri xasiaTi,

gansazRvrul formatze ki es iolad misaRwevi unda yofiliyo.

(d) SeuZlebelia asli ar iyos, radgan aq Cans pikasos xatvis maneris zedmiwevniT

zustad mibaZvis mcdeloba, xazebis wyobis imgvarive Tavisufleba.

19. ratom gaakeTa mkvlevarma TbilisSi aRmoCenili namuSevris kompiuteruli Sav-TeTri anabeWdi? (a) Tu Sav-TeTri anabeWdi zustad gaimeorebda franguli gazeTidan amobeWdil

versias, mkvlevari darwmundeboda, rom TbilisSi aRmoCenili naxati pikasos

namuSevris saukeTeso aslia.

(b) Tu TbilisSi aRmoCenili naxatis kompiuteruli Sav-TeTri anabeWdis

tonaloba zustad ar gaimeorebda afiSebisa da poligrafiuli gamocemebis

versiis tonalobas, mkvlevari darwmundeboda, rom mis win pikasos originali

iyo.

(g) Tu Sav-TeTri anabeWdi zustad daemTxveoda gazeTidan gavrcelebul versias,

romelic originalidan gakeTda, maSin mkvlevars kidev ufro gaumyardeboda

azri, rom TbilisSi aRmoCenili molurjo-momwvano versia pikasos xeliT

aris daxatuli.

(d) Tu TbilisSi aRmoCenili naxatis kompiuteruli anabeWdis zoma daemTxveoda

frangul gazeTSi dabeWdili `don-kixotis~ zomas, mkvlevari darwmundeboda,

rom sayovelTaod cnobili Sav-TeTri versia gazeTidan gavrcelda.

10 654009a

20. qvemoT mocemulia ganxilul sakiTxTan dakavSirebuli ramdenime Tvalsazrisi. maTgan romeli ar aris marTebuli teqstis mixedviT?

(a) lui aragonis redaqtorobiT gamocemul literaturul gazeTSi feradi

ilustraciebi ar ibeWdeboda. SesaZloa, swored am specifikam gansazRvra

gavrcelebuli versiisa da originalis tonalobaTa sxvaoba.

(b) mas Semdeg, rac originali daikarga, gavrcelebul aslebs mas ver

Seadarebdnen da amitom am aslebis tonalobam bevrs afiqrebina, rom

originali an tuSiT iyo Sesrulebuli, an _ naxSiriT.

(g) pikasos `don-kixoti~ mwvane da lurji flomasterebiT aris Sesrulebuli da

amave teqnologiiT wlebis win misi reproducireba sruliad warmoudgeneli

iyo.

(d) ramdenime argumenti arsebobs TbilisSi aRmoCenili naxatis originalobis

dasamtkiceblad, Tumca, es pozicia jer ar aris sayovelTaod aRiarebuli.

11 654009a

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 aseve mocemulia 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. gegmavs : dagegmili (a) zomavs : zusti

(b) icavs : WeSmariti

(g) kinZavs : gabneuli

(d) uvlis : mzrunveli

(e) asaidumloebs : dafaruli

22. Tvali : guga (a) xrtili : farfli

(b) ZarRvi : kapilari

(g) ujredi : birTvi

(d) kunTi : myesi

(e) apki : kani

23. inscenireba : gardasaxviT (a) operacia : diagnoziT

(b) inauguracia : ndobiT

(g) deportacia : iZulebiT

(d) falsifikacia : SecdomiT

(e) diferenciacia : dajgufebiT

24. vulkani : lava (a) namqeri : qari

(b) koconi : kvamli

(g) naleqi : mewyeri

(d) udabno : gvalva

(e) cunami : sanapiro

25. windawin : kvaldakval (a) myis : uecrad

(b) Zlivs : TiTqmis

(g) ufro : TandaTan

(d) manamde : amieridan

(e) xSirad : mravalgzis

12 654009a

26. mesveuri : warmarTavs (a) advokati : pasuxs agebs

(b) mecenati : mfarvelobs

(g) qomagi : rCevas aZlevs

(d) meurve : aswavlis

(e) mokavSire : icavs

winadadebebis Sevseba

mocemulia winadadebebi, romlebSic gamotovebulia ramdenime sityva.

gamotovebuli sityvebi winadadebaSi xazebiTaa aRniSnuli. erTi xazi zogjer erT

sityvas gulisxmobs, zogjer ki _ ramdenimes.

savaraudo pasuxTa yoveli varianti Seicavs sityvaTa jgufs, romlis

nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is

varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis

gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.

27. Cven rom dedamiwaze ki ara, vTqvaT, planeta veneraze gvecxovra, romlis mZlavri atmosfero _____ mzerisTvis, samyaros udidesi nawili CvenTvis _____

iqneboda, _____ ciur mnaTobebs da maTs moZraobas. _____ bunebis umTavres

kanonTa aRmoCena, magaliTad, msoflio mizidulobis kanonisa, mravali _____ .

(a) sruliad gaumWvirvalea / advilad Sesacnobi / veRar davinaxavdiT /

miuxedavad amisa, / wliT ufro adre iqneboda SesaZlebeli

(b) savsebiT gamWvirvalea / naklebad ucnobi / Tavisuflad davakvirdebodiT /

miuxedavad amisa, / wliT ufro adre iqneboda SesaZlebeli

(g) savsebiT gamWvirvalea / advilad Sesacnobi / kargad davakvirdebodiT /

amitom / aswleuliT gadaideboda

(d) sruliad gaumWvirvalea / ucnobi / veRar davinaxavdiT / amitom /

aswleuliT gadaideboda

13 654009a

28. im kulturebSi, sadac bavSvebs naklebi fizikuri stimulacia aqvT, isini siaruls SedarebiT gvian iwyeben. _____ , yvela janmrTeli axalSobilisTvis

gadaadgilebis unaris ganviTarebis safexurebis Tanmimdevroba _____ . magaliTad,

amerikeli indielebi bavSvebs zurgze mosakidebeli mWidrod Sekruli artaxebiT

atareben, rac aferxebs siarulis swavlas, _____ bavSvi gaTavisufldeba

artaxebisgan, igi lokomociis ganviTarebis _____ .

(a) Tumca / erTnairia / magram rogorc ki / zustad imave safexurebs gaivlis

(b) Sesabamisad / sxvadasxvaa / Tumca, rogorc ki / zogierT safexurs gamotovebs

(g) miuxedavad amisa / sxvadasxvaa / amitom, rodesac / zogierT safexurs

gamotovebs

(d) aqedan gamomdinare / erTnairi rodia / da rodesac / zustad imave

safexurebs gaivlis

29. mniSvnelovania, erTmaneTisagan ganvasxvaoT advili da martivi: Tuki raRac wesi, _____ , odesRac damkvidrda da tradiciasa da rutinaSi myarad gaidga

fesvi, mis mixedviT qceva _____ ; xolo imis aRmoCena, rac _____ , Semdeg ki am

aRmoCenis Sesabamisad moqmedeba, _____ .

(a) Tundac xelovnuri da rTuli / advilia / martivi da sadaa / uaRresad

Znelia

(b) marTlac martivi da sada / sakmaod advilia / xelovnuri da rTulia / aseve

Znelia

(g) Tundac martivi da sada / marTlac Znelia / xelovnuri da rTulia /

advili da martivia

(d) marTlac xelovnuri da rTuli / Znelia / martivi da sadaa / aseve Zalian

martivi da advilia

30. usafrTxoebisken swrafvis mniSvnelobis _____ . es swrafva _____ gvxvdeba bunebaSi, mas _____ patara bavSvebi. safrTxisagan mudmivad malva saboloo jamSi

_____ . Tanac, sicocxle xom mxolod maSin aris sicocxle, Tu is sarisko

Tavgadasavalia!

(a) daknineba seriozuli Secdomaa / ar / ganicdian mxolod / sulac ar aris

usafrTxo

(b) gazviadeba didwilad crurwmenaa / ar / ar ganicdian / sulac ar aris

usafrTxo

(g) daknineba seriozuli Secdomaa / yvelgan / ar ganicdian mxolod /

usafrTxoebis erTaderTi garantiaa

(d) gazviadeba didwilad crurwmenaa / yvelgan / ar ganicdian mxolod /

usafrTxoebis erTaderTi garantiaa

14 654009a

logika

am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari 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 an diagramis formiT.

31. sxvadasxva saxeobis cxovelebi mniSvnelovnad gansxvavdebian erTmaneTisgan imis mixedviT, Tu ramdenad swrafad da warmatebiT swavloben adamianTa mier sagnebze

miTiTebis Jestis gagebas da gamoyenebas. am mxriv spilo yvela sxva saxeobaze

ufro `niWieria~. eqsperimentebis safuZvelze zogierTi mkvlevari varaudobs, rom

spiloebs, sxva cxovelTagan gansxvavebiT, adamianis mier xeliT miTiTebis gageba

winaswari wvrTnis gareSe SeuZliaT. qvemoT CamoTvlilTagan romeli viTareba ganamtkicebs yvelaze metad aRniSnul

varauds?

(a) sxvadasxva saxeobis cxovelebSi miTiTebis Jestis gagebis unaris sakvlevad

eqsperimentebi Catarda rogorc moSinaurebul, ise nakrZalebsa da velur

bunebaSi mcxovreb individebze.

(b) aRniSnuli varaudis avtorebma eqsperimentebi Caatares moSinaurebul

spiloebze, romelTac adgilobrivi mosaxleoba turistebis

transportirebisTvis iyenebs.

(g) miTiTebis Jestis gagebis unaris sakvlevad sxvadasxva saxeobis cxovelebze

Catarebulma eqsperimentebma aCvena, rom zogierTi cxoveli am Jestis gagebas

TviTon eqsperimentis msvlelobisas swavlobs.

(d) spiloebSi miTiTebis Jestis gagebis unaris sakvlevad eqsperimentebi Catarda

mxolod zrdasrul, asakovan individebze.

(e) eqsperimentebis Sedegad gamovlinda, rom spiloebs zogierT sxva cxovelze

ufro metad uWirT adamianis mier mzeriT, xelis gamoyenebis gareSe,

miTiTebis gageba.

32. mocemulia ori debuleba: • arc erTi didi qalaqi ar gamoirCeva sisufTaviT. • zogierT did qalaqSi cxovrebis xarjebi Zalian maRalia. qvemoT CamoTvlilTagan romeli gamomdinareobs am ori debulebidan?

(a) zogierT gamorCeulad sufTa qalaqSi cxovrebis xarjebi ar aris maRali.

(b) zogierT gamorCeulad sufTa qalaqSi cxovrebis xarjebi maRalia.

(g) zogierTi qalaqi, romelSic cxovrebis xarjebi Zalian maRalia, sisufTaviT ar

gamoirCeva.

(d) zogierTi didi qalaqi sisufTaviT ar gamoirCeva, samagierod, maTSi cxovrebis

xarjebi maRali ar aris.

(e) zogierTi qalaqi sisufTaviT gamoirCeva da masSi cxovrebis xarjebi Zalian

maRalia, magram aseTTa Soris did qalaqebs ver SexvdebiT.

15 654009a

33. Team saaxalwlod sxvadasxva feris – mwvane, lurji, wiTeli da yviTeli – yuTiT 4 saCuqari miiRo. oTxive saCuqars sxvadasxva wona da moculoba aqvs. mocemulia Semdegi cnobebi yuTebis Sesaxeb:

• mwvane yuTi arc woniT da arc moculobiT ar aris bolo adgilze am oTxidan.

• wiTeli yuTi yviTel yuTze mZimec aris da moculobiTac aRemateba mas. • lurj yuTs danarCen samze ufro meti aqvs moculoba an wona _ erT-erTi

mainc.

• yviTeli yuTi yuTebs Soris meore adgilzea moculobiT an woniT _ erT-erTiT mainc.

qvemoT CamoTvlilTagan romelia aucileblad WeSmariti?

mwvane yuTi:

(a) woniTac da moculobiTac CamorCeba wiTels.

(b) mxolod erT-erTi parametriT CamorCeba lurjs.

(g) mxolod yviTel yuTs uswrebs romelime parametriT.

(d) woniTac da moculobiTac erTsa da imave adgilzea oTxs Soris.

(e) oTx yuTs Soris sxvadasxva adgilzea Tavisi wonisa da moculobis mixedviT.

34. daTo, naTia, qeTi da giorgi swavloben sxvadasxva aRmosavlur enas: Cinurs, iaponurs, koreulsa da arabuls. amasTan, TiToeuli maTgani mxolod erT enas

swavlobs. cnobilia, rom qvemoT mocemuli oTxi mtkicebidan mxolod erTia

marTali.

• daTo swavlobs arabuls. • qeTi ar swavlobs Cinurs. • naTia ar swavlobs arabuls. • giorgi ar swavlobs arabuls.

romel enas swavlobs qeTi?

(a) Cinurs

(b) arabuls

(g) koreuls

(d) iaponurs

(e) mocemuli informacia sakmarisi ar aris amis dasadgenad

16 654009a

wakiTxuli teqstis gaazreba yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT. cxovelebs Soris delfinebi gamoirCevian yvelaze xangrZlivi socialuri

mexsierebiT. TavianT socialur kavSirebSi rom ar daibnen, isini iyeneben saxelebs _ erTgvar xmovan signalebs, e. w. stvena-avtografebs, romlebic yoveli individisTvis unikaluria. roca sxvebs mimarTavs, delfini jer Tavs `warudgens~ maT _ daustvens Tavis `saxels~ da mxolod amis Semdeg iwyebs `saubars~. Tavis mxriv, sxva delfinebi, roca gadawyveten, `daelaparakon~ megobars, mas `saxeliT~ mimarTaven, risTvisac baZaven misTvis damaxasiaTebel stvenas.

delfinebi jgufurad cxovroben, Tumca, yovel maTgans SeuZlia, wavides `mezoblebTan~, cota xniT icxovros maTTan, Semdeg ki isev daubrundes Tavis Tanagundelebs. amgvari socialuri organizaciis pirobebSi delfinebisTvis mniSvnelovania, icodnen, vin aris maTTan mosuli – ucnobi Tu mogzaurobidan dabrunebuli Zveli megobari. `saxelis~ codnisa da misi damaxsovrebis gareSe amis gageba Znelia.

Cikagos universitetis mkvlevrebma, jeison brukma da misma kolegebma, TavianTi eqsperimentisTvis gamoiyenes biosadgurebsa da zooparkebSi sxvadasxva dros mcxovrebi delfinebis xmebis audioCanawerebi. mkvlevrebi Tavadac iwerdnen sxvadasxva asakis rogorc mdedri, ise mamri delfinebis xmovan signalebs. yoveli delfini, romlis xmebsac iwerdnen, drodadro gadahyavdaT erTi adgilidan meoreze, da am gadaadgilebebis istorias zustad aRnusxavdnen. im delfinebs Soris, romelTa Cawera moxerxda, iyvnen sul patara _ 4 Tvis, da sakmaod xandazmuli – 47 wlis individebi.

mkvlevrebma es audioCanawerebi moasmenines sxva delfinebs. xmebi, romlebsac eqsperimentSi monawile delfinebi ismendnen, ekuTvnoda rogorc maTTvis nacnob, ise ucnob individebs. nacnobi delfinebidan zogi iyo iseTi, romelic maT sul ramdenime Tve ar hyavdaT nanaxi, zogi ki – cxrameti an oci wlis ganmavlobaSi. delfinebi ar reagirebdnen maTTvis ucnob xmaze, Tundac is maTive asakisa da sqesis delfinis yofiliyo. magram Tu xmis patroni odnav mainc iyo maTTvis nacnobi, delfinebi umalve pasuxobdnen mas, uaxlovdebodnen xmis gamomcem dinamiks da cdilobdnen masTan `gamolaparakebas~. erTxel deda delfinma Svilic ki miiyvana Tavisi Zveli megobris xmis mosasmenad.

gairkva, rom delfinebs Zveli megobrebis saxelebi SeiZleba axsovdeT mravali wlis ganmavlobaSi. magaliTad, orma mdedrma delfinma xmiT icno erTmaneTi, miuxedavad imisa, rom maTi daSorebidan 20 welze meti iyo gasuli. delfinebisTvis xmis damaxsovreba yvelaze mosaxerxebeli gzaa socialuri urTierTobebis SesanarCuneblad: delfinebis stvena-avtografi ar icvleba daaxloebiT wlinaxevris asakidan sicocxlis bolomde. maSinac ki, Tu delfini garegnulad Seicvleba, moimatebs zomebSi, kanze naiarevebi an laqebi gauCndeba, Tanagundelebi mas mainc icnoben xmiT.

mkvlevrebi aRniSnaven, rom delfinebis xangrZlivi socialuri mexsiereba gamoixateba ara marto sakuTari Tanagundelebis saxasiaTo xmebis, aramed Zvel nacnobebTan urTierTobis xasiaTis damaxsovrebaSic. magaliTad, rodesac or mamr delfins moasmenines odesRac iq mcxovrebi ori dominanturi mamri delfinis xma, maT qcevas sifrTxile da garkveuli SeSfoTeba daetyo, TiTqosda isini `ufrosisgan datuqsvas~ elodnen.

17 654009a

35. sityva `avtografi~ leqsikonebSi ganmartebulia, rogorc adamianis xelmowera, mis mier sakuTari xeliT raimeze gakeTebuli warwera. ra mizniTaa

gamoyenebuli teqstSi es sityva?

imis misaniSneblad, rom:

(a) delfinebi, adamianebis msgavsad, socialuri arsebebi arian da stvena-saxelebs

iyeneben.

(b) delfinebis stvena-avtografebi erTgvari warwerebis saxiT arsebobs maTi

Tanagundelebis mexsierebaSi.

(g) delfinebi mxolod saxelebiT arCeven erTmaneTisgan nacnob da ucnob

individebs.

(d) yoveli stvena-avtografi mxolod misi mflobeli delfinisTvisaa

damaxasiaTebeli.

36. II abzacis mixedviT, delfini ustvens Tavis saxels, raTa:

(a) Seaxsenos sxva delfinebs Tavisi saxeli.

(b) daemorCilos gundSi miRebul wesebs.

(g) gaagebinos Tanagundelebs, Tu vin aris.

(d) amcnos sxva gundis wevrebs, rom surs, gaxdes maTi Tanagundeli.

37. ra iyo is ZiriTadi sakiTxi, romlis garkvevas Seecadnen mkvlevrebi TavianTi eqsperimentis meSveobiT?

(a) ratom ar reagirebdnen delfinebi ucnob xmovan signalebze, Tundac is

maTive asakisa da sqesis delfinisa yofiliyo.

(b) rogor moqmedebs erT zooparkSi Tu biosadgurSi cxovrebis xangrZlivoba

ama Tu im delfinis stvenis amocnobis siswrafeze.

(g) ramdeni xnis ganmavlobaSi SeiZleba axsovdeT sxvadasxva asakisa Tu sqesis

delfinebs TavianTi nacnobi delfinebis `stvena-saxelebi~.

(d) ramdeni Tve an welia saWiro, rom ama Tu im asakis an sqesis delfinma

daimaxsovros Tavisi Tanagundelis `stvena-saxeli~.

38. bolo abzacSi moyvanili magaliTidan gamomdinare, ra daskvnis gamotanaa SesaZlebeli delfinebis gundSi urTierTobis xasiaTis Sesaxeb?

(a) delfinebis gundis wevrebi gansxvavdebian TavianTi socialuri statusiT.

(b) delfinebisTvis damaxasiaTebelia dasja-daSinebaze damyarebuli urTierToba.

(g) delfinebi yofili Tanagundelebis mimarT iCenen sifrTxilesa da morCilebas.

(d) delfinebs Soris arsebuli konfliqti mravali wlis ganmavlobaSi inarCunebs

simwvaves.

18 654009a

39. ingliselma mkvlevrebma eqsperimenti Caatares: isini videofirze iRebdnen ramdenime cxens. maTi jogis danarCeni wevrebi gverdiT ise midiodnen, rom am

cxenebis mxedvelobis velSi ver xvdebodnen. paralelurad eqsperimentSi monawile

cxenebs asmeninebdnen gverdiT mimavali an sul sxva, maTTvis ucnobi cxenis

Wixvinis audioCanawers. Tu mosmenili Wixvini gverdiT mimaval cxens ekuTvnoda,

eqsperimentSi monawile cxoveli Tavis saqmes ar wydeboda, xolo Tu Wixvini

misTvis ucnob cxens ekuTvnoda, is myisve Semobrundeboda, TiTqosda ambobda: `es

xom Sen ar iyavi~.

cxenebis Sesaxeb zemoT mocemuli informacia uSualod exmianeba teqstis:

(a) I abzacs

(b) II abzacs

(g) III abzacs

(d) IV abzacs

40. teqstis mTavari mizania:

(a) dagvanaxos, rogor xdeboda im eqsperimentuli masalis mopoveba, romelic

safuZvlad daedo delfinebis qcevis Sesaxeb codnis dagrovebas.

(b) gagvacnos delfinebis is konkretuli Tavisebureba, romelic maT erTmaneTis

identificirebaSi uwyobs xels.

(g) gamoavlinos is faqtorebi, romlebmac ganapiroba delfinebs Soris

urTierTobis xasiaTi.

(d) delfinTa magaliTze gviCvenos, rogor xdeba cxovelTa samyaros Segueba

garemo pirobebTan.

19 654009a

Savi samuSaosTvis

20 654009a

Savi samuSaosTvis

21 654009b

maTematikuri nawili 2014 III

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 = 2πr; π ricxvi, measedis sizustiT, 3,14-is tolia;

• r radiusiani wris farTobi gamoiTvleba formuliT: S = πr2.

14. marTkuTxa paralelepipedi: • marTkuTxa paralelepipedis

moculoba misi sigrZis, siganisa da simaRlis namravlis tolia: V = abc;

• kubis SemTxvevaSi: a = b = c.

22 654009b

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.

b dadebiTi ricxvia.

(a) (b) (g) (d)

43.

tolgverda samkuTxedis TiToeuli gverdis sigrZe

8 santimetrze naklebia.

(a) (b) (g) (d)

52

22:3,124 44:6,248

32 sm2 samkuTxedis farTobi

bb

10563

++

23 654009b

A B

44.

kviris ganmavlobaSi Saqris fasi orjer Seicvala:

Saqari jer gaZvirda 25%-iT, Semdeg gaiafda 20%-iT.

(a) (b) (g) (d)

45.

1 litri benzini 1,8 lari Rirs, xolo dizelis sawvavi _ 1,2 lari. avtomanqana benzinis yoveli litriT 15 km-s gadis, xolo mikroavtobusi dizelis sawvavis yoveli litriT _ 12 km-s. moZraobisas avtomanqanam da mikroavtobusma erTi da imave

Rirebulebis sawvavi daxarjes.

(a) (b) (g) (d)

46.

ABC samkuTxedSi ∠C = 80° da |BC| > |AC|.

(a) (b) (g) (d)

Saqris fasi kviris

dasawyisSi

Saqris fasi kviris

bolos

mikroavtobusis mier

gavlili manZili

avtomanqanis mier

gavlili manZili

∠B 45°

24 654009b

amocanebi

47. =−−−++ 30,401,402,403,404,405,40

(a) 1,0 (b) 2,0 (g) 3,0 (d) 4,0 (e) 5,0 48. wylis TiToeuli tumbo sacavidan yovel saaTSi erTi da imave raodenobis wyals iRebs. 4 tumbo 2 saaTSi 32 tona wyals iRebs. ramden tona wyals iRebs 1 tumbo 1 saaTSi? (a) 2 (b) 4 (g) 6 (d) 8 (e) 16 49. tolujredebian badeze mocemulia marTkuTxa samkuTxedebi, romelTa wveroebi badis kvanZebs emTxveva (ix. naxazi). am samkuTxedebidan romels aqvs yvelaze didi

farTobi?

(a) I

(b) II

(g) III

(d) IV

(e) V

25 654009b

50. ori orniSna ricxvis jami 195-is tolia. CamoTvlilTagan romlis toli SeiZleba iyos am ricxvebis sxvaoba?

(a) 3 (b) 5 (g) 7 (d) 9 (e) 11

51. a da b iseTi ricxvebia, rom a naklebia b-ze 30-iT. CamoTvlilTagan romeli aRwers am damokidebulebas?

(a) 30−< ba (b) 30+< ba (g) 30−= ba (d) 30+= ba (e) ba 30<

26 654009b

monacemTa analizi diagramaze mocemulia, Tu ramdeni kilogrami xorbali, simindi da Saqris

Warxali moiyvanes qveyanaSi erT sul mosaxleze 2005-2009 wlebSi.

diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas:

52. ramdeni kilogramiT Semcirebula simindis warmoeba erT sul mosaxleze 2008 wels 2006 welTan SedarebiT? (a) 30-iT (b) 35-iT (g) 40-iT (d) 45-iT (e) 50-iT 53. romel wels iyo qveyanaSi moyvanili Saqris Warxlis raodenoba imave wels moyvanili simindisa da xorblis saerTo raodenobis mesamedze meti, magram

naxevarze naklebi? (a) 2005 (b) 2006 (g) 2007 (d) 2008 (e) 2009

27 654009b

54. 2005-2009 wlebSi qveyanaSi marcvleuli kulturebidan mxolod simindi da xorbali mohyavdaT. marcvleulis mosavlis ramden procents Seadgenda qveyanaSi

moyvanili simindis mosavali 2009 wels? (a) 55% (b) 60% (g) 65% (d) 70% (e) 75% 55. qveynis mosaxleobis raodenoba 2008 wels 2005 welTan SedarebiT 10%-iT Semcirda. ramdenjer metia qveyanaSi 2008 wels moyvanili Saqris Warxlis saerTo raodenoba 2005 welTan SedarebiT? (a) 1,1-jer (b) 1,2-jer (g) 1,3-jer (d) 1,4-jer (e) 1,5-jer

amocanebi

56. naturaluri ricxvi n naklebia 14-ze. ris tolia n, Tuki 14-is n-ze gayofisas miRebuli naSTia 6−n ?

(a) 6 (b) 7 (g) 8 (d) 9 (e) 10

28 654009b

57. Tu x2 eqvsjer metia 5 -ze, maSin =3x

(a) 1 (b) 2 (g) 3 (d) 4 (e) 5 58. zrdis mixedviT dalagebuli 3 erTmaneTis momdevno mTeli ricxvis saSualo ariTmetikuli 9-is tolia. ris tolia am ricxvebidan udidesi? (a) 8 (b) 9 (g) 10 (d) 11 (e) 12 59. manZili gias saxlidan skolamde 1200 metris tolia. skolis Semdeg gia jer megobars ewvia, romlis saxlic skolidan 100 metriTaa daSorebuli, xolo Semdeg megobarTan erTad sportdarbazSi wavida, romelic megobris saxlidan

200 metriTaa daSorebuli. CamoTvlilTagan romlis toli ar SeiZleba iyos manZili sportdarbazidan gias saxlamde? (a) 800 metri

(b) 900 metri (g) 1200 metri (d) 1400 metri (e) 1500 metri

60. samSeneblo kompaniam daamzada 1600 kuburi metri naZvis xisa da 400 kuburi metri fiWvis xis masala. naZvis xis masalis 20% da fiWvis xis masalis 50% kompaniam sawyobSi Seinaxa, xolo danarCeni gayida. damzadebuli xis masalis

ramdeni procenti Seunaxavs sawyobSi kompanias? (a) 26% (b) 30% (g) 35% (d) 42% (e) 70%

29 654009b

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. x > y > z > 0, x + y + z = 9.

(a) (b) (g) (d)

62.

sasworebis TefSebze awyvia erTnairi msxlebi, aseve,

erTnairi vaSlebi da erTnairi bananebi (ix. naxati).

(a) (b) (g) (d)

63.

eqvsi naturaluri ricxvis jami 7-is tolia.

(a) (b) (g) (d)

x 5

2 am ricxvebis namravli

2 msxlis wona 1 vaSlis da 1 bananis saerTo wona

30 654009b

A B 64.

mravalkuTxedis SemosazRvrulobis maCvenebeli

vuwodoT am mravalkuTxedis momcveli wreebidan

umciresis radiusis sigrZes. ABCD rombis diagonalebis sigrZea 8 sm da 4 sm.

(a) (b) (g) (d)

65.

(a) (b) (g) (d)

amocanebi

66. saTamaSo burTi Rirs 3 lari, manqana ki 6 lari. Tornikem SeiZina saTamaSo burTebi da manqanebi. CamoTvlilTagan romlis toli SeiZleba iyos Tornikes

mier daxarjuli Tanxa? (a) 26 lari (b) 28 lari (g) 35 lari (d) 40 lari (e) 57 lari

ABCD rombis SemosazRvrulobis maCvenebeli

6 sm

udidesi martivi

ricxvi, romelzec

unaSTod iyofa 90

udidesi martivi

ricxvi, romelzec

unaSTod iyofa 35

31 654009b

67. Tu 22 yxxy =+ , maSin =x

(a) 12

2

+yy

(b) 12

2

−yy

(g) 2

2 1y

y +

(d) 2

2 1y

y −

(e) 11

2

2

+−

yy

68. ABCD marTkuTxedis gverdebi sakoordinato RerZebis paraleluria. A wveros koordinatebia ( )1;4− , xolo misi mopirdapire C wverosi _ ( )3;2 − . ris tolia marTkuTxedis didi gverdis sigrZis Sefardeba mcire gverdis sigrZesTan?

(a) 1,5-is (b) 2-is (g) 2,5-is (d) 3-is (e) 3,5-is

69. 9-is jeradi im naturaluri ricxvebidan, romlebic metia 15-ze, magram naklebia 100-ze, ramdeni araa 4-is jeradi?

(a) 11 (b) 10 (g) 9 (d) 8 (e) 7

70. ricxvebi x, 14, 12, 10, y, 7 klebis mixedviTaa dalagebuli da cnobilia, rom xy 240 −= . CamoTvlilTagan romeli ricxvi SeiZleba iyos x-is toli?

(a) 14,5 (b) 15,1 (g) 16,7 (d) 17,2 (e) 18,3

32 654009b

71. marTkuTxa paralelepipedi, romlis fuZis wiboebis sigrZeebia 7 sm da 15 sm, dayofilia oTx marTkuTxa paralelepipedad, romelTagan sami kubia, meoTxe ki _ ara

(ix. naxazi). ramdeni kuburi santimetria dayofis Sedegad

miRebuli meoTxe marTkuTxa paralelepipedis moculoba? (a) 105 (b) 135 (g) 150 (d) 165 (e) 180

monacemTa sakmarisoba

72. ujraSi wiTeli da lurji fanqrebi awyvia. wiTeli fanqrebis raodenoba 4-jer metia lurji fanqrebis raodenobaze.

mocemulia ori piroba:

I. ujraSi sul 20 fanqaria. II. lurji fanqrebis raodenoba ujraSi fanqrebis saerTo raodenobis

mexuTedia.

imis gasarkvevad, Tu ramdeni wiTeli fanqaria ujraSi:

(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

73. m da n naturaluri ricxvebia.


I. nm ⋅ luwi ricxvia. II. nm − kenti ricxvia.

imis gasarkvevad, luwia Tu kenti n ricxvi:






33 654009b

74. paralelogramis mezobeli gverdebi araa erTmaneTis toli.


I. paralelogramis didi gverdis sigrZe 9 dm-iT metia mcire gverdis sigrZeze. II. paralelogramis didi gverdis sigrZe 4-jer metia mcire gverdis sigrZeze.

imis gasarkvevad, Tu ris tolia paralelogramis perimetri:






75. wriul diagramaze warmodgenilia qalaqis mosaxleobis procentuli ganawileba erovnebis

mixedviT.


I. qalaqSi italieli erovnebis moqalaqeTa

raodenoba 450 aTasis tolia. II. qalaqSi espaneli erovnebis moqalaqeTa

raodenoba 150 aTasis tolia.

imis gasarkvevad, Tu ris tolia qalaqSi frangi erovnebis moqalaqeTa

raodenoba:






34 654009b

amocanebi

76. parterSi 2-jer meti mayurebeli eteva, vidre _ amfiTeatrSi. mayureblebiT

Sevsebulia parteris 43 nawili, xolo amfiTeatris 3

2 nawili. ramdenjer meti

mayurebelia parterSi amfiTeatrTan SedarebiT?

(a) 811 -jer

(b) 211 -jer

(g) 321 -jer

(d) 412 -jer

(e) 432 -jer

77. ori ricxvis namravli pirvel ricxvze 6-jer metia, xolo meoreze 2-jer naklebia. ris tolia am ricxvebis namravli?

(a) 3 (b) 4 (g) 8 (d) 9 (e) 12

78. wridan amoWrilia patara wre, romlis radiusis sigrZe 3-jer naklebia didi wris radiusis sigrZeze. ris tolia didi wris darCenili nawilis farTobis

Sefardeba mcire wris farTobTan? (a) 3 (b) 4 (g) 6 (d) 8 (e) 9

35 654009b

79. ricxvTa RerZis erTeulovani monakveTis sigrZea 1 sm. am RerZze mdebare ( )aA da ( )bB wertilebis a da b koordinatebi mTeli ricxvebia. cnobilia, rom

8,24,3 ≤≤− a da 65,4 ≤≤ b . maqsimum ramdeni santimetris toli SeiZleba iyos AB monakveTis sigrZe? (a) 4-is (b) 8,1-is (g) 7-is (d) 9-is (e) 9,3-is 80. nana monetebs agrovebs. ris tolia imis albaToba, rom nana SeZlebs Segrovebuli yvela monetis 4 megobrisTvis Tanabrad ganawilebas?

(a) 0,4-is (b) 0,3-is (g) 0,35-is (d) 0,2-is (e) 0,25-is

32. mocemulia ori debuleba:Tavpurceli-EXAMS-GAT-III.2014.pdfPage 1

d - aris.gecdeba is, visac hgonia, rom xval kargi amindi iqneba. 12. mocemulia: • cvens mxaresi...

Documents