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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
analogiuria. pasuxis arCevisas gaiTvaliswineT sityvaTa Tanmimdevroba wyvilebSi.
1. mTagrexili : mTa
(a) xerxemali : mala
(b) asanTi : Reri
(g) Robe : meseri
(d) gza : Cixi
2. kaskadiori : Canacvleba
(a) prototipi : Seqmna
(b) iluzionisti : aRqma
(g) koreqtori : Sesworeba
(d) farmacevti : mkurnaloba
3. elva : klaknili naTeba
(a) mewyeri : miwis qanebi
(b) cunami : talRis sidide
(g) tornado : mtvris sveti
(d) miwisZvra : ryevis simZlavre
4. emuqreba : SeaSinebs
(a) mfarvelobs : daicavs
(b) mkurnalobs : gamoajanmrTelebs
(g) anacvlebs : gadaasxvaferebs
(d) amowmebs : Seaqebs
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5. TviTmfrinavi : frinveli
(a) Ruza : myvinTavi
(b) roboti : avtopiloti
(g) teqsti : sufliori
(d) saaTi : guSagi
6. aborigeni : endemuri saxeoba
(a) turisti : samuzeumo eqsponati
(b) mkvlevari : monitoringi
(g) emigranti : saeqsporto saqoneli
(d) dampyrobeli : nadavli
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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.
7. kulturuli difuzia ewodeba process, romlis drosac erTi sazogadoebis wevrebi sruliad Segnebulad _____ sxva sazogadoebis qcevis formebs,
Rirebulebebsa Tu miRwevebs. aRniSnuli procesis _____ inovaciebis _____
qveyanaSi. swored am gziT _____ mTel msoflioSi.
(a) iTviseben / meSveobiT xdeba / swrafi gavrceleba sxvadasxva / vrceldeba
Tanamedrove teqnologiebi
(b) ebrZvian / naTeli ilustraciaa / sruli akrZalva zogierT / xdeba
moZvelebuli teqnologiebis axliT Canacvleba
(g) ugulebelyofen / Sedegad ferxdeba / gavrceleba maT / moxda Tanamedrove
teqnologiebis danergva
(d) iTviseben / sapirispiro SemTxvevaa amgvari / danergva sxvadasxva / ebrZvian
moZvelebuli teqnologiebis gamoyenebas
8. mcenareebis mimarT Cveni damokidebuleba _____ nimuSia: Tu mcenareSi uSualo sargebels _____ vaxarebT mas. xolo Tu raime mizezis gamo mis
arsebobas _____ miviCnevT, an Tundac _____ , yovelgvari yoymanis gareSe _____ .
(a) gansakuTrebuli SorsmWvretelobis / ver vxedavT, ar / sasurvelad ar /
CvenTvis sasargeblod gamoviyenebT mas / gadavwyvetT mis gaxarebas
(b) araracionaluri midgomis / vxedavT, / sasurvelad / ubralod gulgrilni ar
varT mis mimarT / SeiZleba gavwiroT is ganadgurebisTvis
(g) gansakuTrebulad viwro Tvalsawieris / vxedavT, / arasasurvelad / ubralod
gulgrilni varT mis mimarT / SeiZleba gavwiroT is ganadgurebisTvis
(d) marTlac farTo Tvalsawieris / ver vxedavT, ar / arasasurvelad ar /
CvenTvis sasargeblod gamoviyenebT mas / gadavwyvetT mis gaxarebas
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9. etruskebis warmodgenebiT, adamianis sicocxle dayofili iyo 12 Svidwleulad. es tradicia berZnul sinamdvileSi solonis wyalobiT aris cnobili. _____ ,
rom etruskebma solonisgan gadaiRes es koncefcia. _____ , rom etruskulma
tradiciam solonze moaxdina gavlena. _____ , rom orive maTganisTvis _____
dReisaTvis ucnobi, mesame wyaro.
(a) unda vivaraudoT / naklebad mosalodnelia / Sesabamisad, ar aris
gamoricxuli / amosavali yofiliyo (b) naklebad mosalodnelia / ufro savaraudoa / Tumca, arc isaa gamoricxuli /
amosavali yofiliyo
(g) safiqrebelia / Znelia vivaraudoT / Sesabamisad, gamoricxulia / amosavali
ar yofiliyo
(d) ar unda vifiqroT / ufro savaraudoa / Tumca, gamoricxulia / amosavali
ar yofiliyo
10. saRamos saaTebSi daswavlis simtkices, rogorc Cans, _____ is, rom masalis daswavlis Semdeg adamiani _____ da sxva, axali STabeWdilebis miReba _____
daswavlili Sinaarsis _____ .
(a) xels uSlis / male iZinebs / ar warmoadgens bariers / ganmtkicebisTvis
(b) xels uwyobs / gadaRlilia / misTvis warmoadgens / ganmtkicebis
damabrkolebel faqtors
(g) xels uSlis / gadaRlilia / ar warmoadgens / ganmtkicebis damabrkolebel
faqtors
(d) xels uwyobs / male iZinebs / ar uSlis xels / ganmtkicebas
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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.
11. dedam ojaxis wevrebisTvis saaxalwlo saCuqrebi SeiZina, sxvadasxva yuTSi moaTavsa da naZvis xesTan erT rigad daawyo. erT yuTSi devs xelTaTmanebi,
erTSi _ maisuri, erTSi _ qudi, erTSi ki _ kaSne. saCuqrebi sxvadasxva ferisaa:
TeTri, wiTeli, lurji, mwvane. garda amisa, cnobilia:
• marcxnidan pirvel yuTSi devs lurji saCuqari, xolo meoreSi _ maisuri. • TeTrsaCuqriani yuTis marjvniv devs yuTi, sadac kaSnea, xolo marcxniv _
yuTi wiTeli saCuqriT.
• xelTaTmanebi ar aris TeTri feris.
qvemoT mocemulTagan romel striqonSia sworad miTiTebuli, ra ferisaa
TiToeuli saCuqari?
xelTaTmanebi maisuri qudi kaSne
(a) lurji wiTeli TeTri mwvane
(b) TeTri wiTeli lurji mwvane
(g) wiTeli lurji mwvane TeTri
(d) lurji mwvane TeTri wiTeli
12. mocemulia: • umaRlesi saswavleblis yvela students miRebuli aqvs saSualo ganaTleba.
qvemoT CamoTvlilTagan romeli debuleba unda aviRoT meore wanamZRvrad, raTa
davaskvnaT: umaRlesi saswavleblis yvela students gavlili aqvs samoqalaqo
Tavdacvis kursi?
(a) samoqalaqo Tavdacvis kurss mxolod saSualo ganaTlebis mqone pirebi gadian
(b) saSualo ganaTlebis mqone yvela pirs gavlili aqvs samoqalaqo Tavdacvis
kursi
(g) saSualo ganaTleba mxolod umaRlesi saswavleblis studentebs aqvT
miRebuli
(d) samoqalaqo Tavdacvis kurss gadian mxolod umaRlesi saswavleblis
studentebi
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13. Sotlandiis CrdiloeTSi, okeanis sanapirosTan aRmoCenil erT-erT uZveles sacxovrebel kompleqsSi, skara breiSi, yvela sacxovrebel saxlSi SemorCenilia
Taviseburi kera, romelic gasaTbobad da sakvebis mosamzadeblad gamoiyeneboda.
vinaidan cnobilia, rom mkacri klimaturi pirobebis gamo dasaxlebis teritoria
arasodes yofila dafaruli tyis safariT, arqeologebma ivaraudes, rom skara
breis mosaxleebi sawvavad torfs iyenebdnen.
qvemoT CamoTvlilTagan romeli viTareba daayenebda eWvqveS arqeologTa varauds?
(a) msgavs klimatur pirobebSi arsebul sxva Zvel dasaxlebebSi sawvavad
iyenebdnen Sinauri pirutyvis nakels, Tumca, gaTxrebma daadastura, rom skara
breiSi mecxoveleobas ar misdevdnen
(b) skara breis sanapiroebze uxvad moipoveba wyalmcenareebi, romlebic energiis
kargi wyaroa, Tumca, qimiurma analizma ar daadastura nasaxlarebSi
wyalmcenareebis wvis specifikuri produqtis arseboba
(g) skara breis klimaturi pirobebisa da mcenareuli safaris cvalebadobis
tendenciebis analizma aCvena, rom am teritoriaze saukeTeso pirobebia
Seqmnili torfis sqeli fenebis warmosaqmnelad
(d) okeanis dineba skara breis sanapiroze gamoriyavs didi raodenobiT xe-tyis
narCenebs, romlebic samxreTis saukunovani tyeebidan okeaneSi Caaqvs adidebul
mdinareebs
14. sami gogona msjelobs imis Sesaxeb, Tu ramdeni rveulia saweri magidis daxurul ujraSi:
elene: yvelas TiTo rveuli mainc Segvxvdeba.
ana: ujraSi rveulebis raodenoba samze naklebia.
lika: ujra carieli ar aris.
ramdeni rveuli devs ujraSi, Tu cnobilia, rom gogonebidan mxolod erTi
ambobs simarTles?
(a) sami
(b) mxolod ori
(g) mxolod erTi
(d) arc erTi
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
yvelas, vinc speqtakls, sanaxaobas eswreba, SeuZlia misi erTgvari monawile
gaxdes da garkveuli gavlena moaxdinos mis msvlelobaze. magaliTad, SegiZliaT,
Teatralur warmodgenas samariseburi siCumiT an stveniT SexvdeT, anda taSi
daukraT, ovacia gaumarToT msaxiobs. kinematografiuli ambis msvlelobaSi ki
ver CaereviT. SegiZliaT, gaxvideT darbazidan, gamorToT televizori, iseve,
rogorc daxuroT wigni. filmi sxvebisTvis gagrZeldeba, teqsti xeluxlebeli
darCeba.
yofiTi speqtaklis erTgvari magaliTia sasamarTlo procesi, sadac
profesionalebs Soris rolebi zustadaa ganawilebuli. damswreni zogjer
aplodismentebiTac ki ajildoeben prokurors, advokatsa Tu braldebuls
originaluri monologis anda maxvili replikisTvis. zogjer isic xdeba, rom
prokurors ar unda bralis dadeba, magram iZulebulia, Seasrulos bralmdeblis
roli.
Zvel romSi drama sinamdvileSi TamaSdeboda: gladiatorebi samkvdro-
sasicocxlod ebrZodnen erTmaneTs, mtacebel cxovelebs. aseT speqtaklSi mTavari
personaJi damonebuli adamiani iyo. mas eZleoda roli, romelic, surda Tu ar
surda, unda Seesrulebina. Sua saukuneebSi Tu momdevno epoqaSi mayurebliT
gaWedili moednis SuagulSi eSafotze asvlisas adamians ar SeeZlo, ar efiqra
imaze, Tu rogor eWira Tavi, da bolo momentSi ar daeyvira paTetikuri fraza:
`gaumarjos Tavisuflebas!~ ecado, damalo dabneuloba, panika, SiSi, Rirseulad
da mSvidad geWiros Tavi, iseTad ar gamoiyurebode, rogoric xar, niSnavs, roli
iTamaSo. rolis TamaSi erTgvarad mayureblis SecdomaSi Seyvana, motyuebaa.
totalitarul saxelmwifoebSi diqtatorebs Zalian uyvarT aRlumebi,
masobrivi sanaxaobani, romlebic qveSevrdomTa masis morCilebas cxadyofs _
moedani kvadratebadaa dayofili, yvela adamiani gadanomrilia, moedanze
suraTebi, droSebi da keTildReobis simboloebi Cndeba. aseT saerTo scenars
daqvemdebarebuli adamiani kargavs pirovnul Tvisebebs, brZanebis zusti da
sinqronuli Sesruleba mas siamovnebasac ki aniWebs.
nebismieri sanaxaobis, magaliTad, saxalxo zeimebis, karnavalebis monawileebi
ikeTeben nairgvar niRbebs. es Taviseburi artistizmis gamovlinebaa, vinaidan
adamians surs, iseTad ar gamoCndes, rogoric is namdvilad aris. policieli da
jariskaci SeiZleba iyos Zlieric da sustic, patiosanic da upatiosnoc, magram,
rogorc ki uniformas Caicvams, maSinve simamacisa da udreki nebis simbolod
iqceva. es principi _ raime saxes amoefaro, raTa adamianebze imoqmedo _
safuZvlad udevs nebismier samsaxiobo moqmedebas. amasTan, `niRabi~ erTgvarad
aTavisuflebs niRbis matarebels Cadenil saqcielze pasuxismgeblobisgan.
TiTqos ucnauria, magram yvelaze naklebad swored msaxiobebi cruoben.
winaswar cnobilia, rom piesis personaJebTan maT araferi akavSirebT. yovelTvis
sainteresoa, Tvali vadevnoT adamianis TamaSs, garkveuli azriT, TvalTmaqcobas.
Tumca, piesis personaJebis cxovrebaSi momxdari ambavi sabolood msaxiobis
cxovrebis ambavic xdeba. msaxiobi swavlobs teqsts, iTvisebs rols da
mayurebelic, roca cxovrebaSi xvdeba msaxiobs, mas uneburad miawers mis mier
gansaxierebuli personaJis Tvisebebs. msaxiobi TiTqos scenis gareSec atarebs
raRac uxilav mantias, romelic mas personaJTan aigivebs.
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15. qvemoT CamoTvlilTagan romeli gamoxatavs I abzacis winadadebebs Soris arsebul mimarTebas?
(a) I da II winadadebebiT gadmocemul movlenebs Soris arsebobs
mizezSedegobrivi kavSiri; aseTive urTierTmimarTebaa III da IV winadadebebs
Soris
(b) I-sa da III winadadebebs msgavsi funqcia aqvT, TiToeuli aRniSnavs xelovnebis
konkretuli dargis specifikur niSans; Tavis mxriv, es niSnebi
urTierTsapirispiroa
(g) II-sa da IV winadadebebs msgavsi funqcia aqvT, TiToeuli maTgani akonkretebs
da ganmartavs wina winadadebas; amasTan, oriveSi identuri magaliTebia
moyvanili
(d) I-sa da III winadadebebSi gamoTqmuli mosazrebebidan gamomdinare daskvna
warmodgenilia V winadadebaSi
16. teqstSi moyvanilia sxvadasxva tipis sanaxaobis ramdenime magaliTi: I _ sasamarTlo procesis;
II _ gladiatorebis brZolis;
III _ eSafotis;
IV _ aRlumis.
maTgan romelSi ar aris aRniSnuli mayureblis reaqcia sanaxaobaze?
(a) mxolod I magaliTSi
(b) mxolod II magaliTSi
(g) II-sa da III magaliTebSi
(d) I-sa da IV magaliTebSi
17. fraza _ `moedani kvadratebadaa dayofili, yvela adamiani gadanomrilia~ _ miuTiTebs:
(a) mowesrigebul sazogadoebaze _ yvelam icis Tavisi adgili, TiToeuli
eqvemdebareba brZanebas, mTavaria misi zustad da sinqronulad Sesruleba
(b) erTsaxovan sazogadoebaze _ adamianis saxeli ukana planze gadadis, igi
danomrilia, kargavs pirovnul Tvisebebs
(g) qveSevrdomTa masis ganwyobaze _ am sazogadoebaSi SeiZleba popularuli
iyos masobrivi sanaxaobani, romlebic mis monawileebs siamovnebas aniWebs
(d) masobriv sanaxaobaze _ yvelas uniforma acvia, moedanze suraTebi, droSebi
da keTildReobis simboloebi Cndeba
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18. cnobilia, rom vikingebi, tevtoneli raindebi, iaponeli samuraebi da sxva meomrebi mowinaaRmdegis SesaSineblad rqebian niRbebs ikeTebdnen.
romeli abzacis sailustraciod SeiZleba gamoviyenoT es cnoba?
(a) I abzacis, radgan aq saubaria sanaxaobaze, da Zveli Serkinebebi, raindebis,
samuraebis brZola, upirvelesad, sanaxaoba iyo
(b) III abzacis, radgan aq saubaria gladiatorebis brZolaze mtacebel
cxovelebTan, rqebiani niRabi ki romelime cxovels amsgavsebda mebrZols
(g) V abzacis, radgan aq saubaria principze _ raime saxes amoefaro, raTa
adamianebze imoqmedo. amasTan, es artistizmis gamovlinebac iyo
(d) V abzacis, radgan aq saubaria niRabze, romelic Cadenil saqcielze
pasuxismgeblobisgan aTavisuflebs mis matarebels
19. teqstSi gvxvdeba Semdegi winadadebebi: 1. `rolis TamaSi erTgvarad mayureblis SecdomaSi Seyvana, motyuebaa~.
2. `yvelaze naklebad swored msaxiobebi cruoben~.
qvemoT CamoTvlilTagan romeli daskvnis gamotana SeiZleba maTi
urTierTSejerebis safuZvelze?
(a) rolis Sesrulebisas msaxiobi yovelTvis atyuebs mayurebels, Tumca, naklebad
cruobs maSin, rodesac bevri saerTo aqvs mis mier gansaxierebul
personaJTan
(b) msaxiobi ganasaxierebs sxva adamians _ erTgvarad cruobs, Tumca, yvelaze
naklebad, radgan TamaSis dawyebamde cnobilia, rom is sxva adamianad
gardaisaxeba
(g) rolis TamaSi niSnavs, iseTad ar gamoiyurebode, rogoric xar; Tu es kargad
gamosdis msaxiobs, is gvatyuebs, Sesabamisad, ucnauria mtkiceba, TiTqos isini
yvelaze naklebad cruobdnen
(d) msaxiobi scenis gareSec atarebs raRac uxilav mantias, romelic mas
gansaxierebul personaJTan aigivebs, rasac SecdomaSi Sehyavs mayurebeli
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20. qvemoT mocemulia ramdenime citata statiidan: 1. niurnbergis procesze samxedro damnaSaveebi Tavs imiT imarTlebdnen, rom,
rogorc adamianebi, piradad isini damnaSaveni ar iyvnen, isini mxolod maTze
dakisrebul rolebs asrulebdnen.
2. silis gawvna kinoSi yovelTvis namdvilia da msaxiobs marTlac stkiva;
sazogadod, yovelgvari Sexeba, mofereba iqneba Tu muStis kvra, adamianis piradi
sivrcis darRvevaa, misi imitireba ki SeuZlebelia.
3. gasamxedroebuli warmodgenebis siyvaruli, saTanado gemovneba asaxulia
miuzik-holis im mizanscenebSi, romlebSic uniformaSi gamowyobili qaliSvilebi
sinqronulad abakuneben fexebs, marSiT dadian da figurebad `ewyobian~.
romel abzacebs exmianeba es citatebi?
(a) 1 _ II abzacs, 2 _ VI abzacs, 3 _ I abzacs
(b) 1 _ II abzacs, 2 _ III abzacs, 3 _ IV abzacs
(g) 1 _ IV abzacs, 2 _ III abzacs, 3 _ V abzacs
(d) 1 _ V abzacs, 2 _ VI abzacs, 3 _ IV abzacs
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 SeusabamoT erT-erTi
varianti, ise, rom sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi
arsebuli mimarTebis analogiuri iyos.
21. waaxalisa : aukrZala miuZRvna : (a) miiTvisa
(b) aCuqa
(g) gauziara
(d) Seswira
22. konkursi : konkursanti Cempionati : (a) Cempioni
(b) sportsmeni
(g) fexburTeli
(d) finalisti
23. Sedareba : gansxvaveba gamokvleva : (a) gaanalizeba
(b) migneba
(g) misadageba
(d) msjeloba
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24. wyali : sarke yvavili : (a) sunamo
(b) surneli
(g) neqtari
(d) Taiguli
25. qveteqsti : dafaruli citata : (a) dasazustebeli
(b) dasabuTebuli
(g) gameorebuli
(d) mimsgavsebuli
26. farda : dasasruli scena : (a) ovacia
(b) afiSa
(g) nawili
(d) centri
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.
27. federiko felini ambobda: _____ azrs, rom xelovans sruli Tavisufleba _____ . Tavis nebaze miSveba, imis keTebis Tavisufleba, rac moesurveba, _____ .
Tu ramea saSiSi xelovanisTvis, esaa swored miTi _____ sasikeTo gavlenis
Sesaxeb.
(a) bolomde veTanxmebi / ar unda mivaniWoT / aucilebelia imisTvis, rom
xelovanma sakuTari niWis realizacia SeZlos / kritikosTa azris zewolisa
da cenzuris SezRudvebis
(b) ar veTanxmebi / xels ar uwyobs sakuTari niWis realizaciaSi / aucilebelia
SemoqmedisaTvis / totaluri Tavisuflebisa Tu STagonebis lodinis
(g) bolomde veTanxmebi / xels uwyobs sakuTari niWis realizaciaSi / Semoqmeds
srul umoqmedobamde miiyvans / kritikosTa azris zewolisa da cenzuris
SezRudvebis
(d) ar veTanxmebi / unda mivaniWoT / xelovans bolos iqamde miiyvans, rom is
sul arafers gaakeTebs / totaluri Tavisuflebisa Tu STagonebis lodinis
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28. zogierTi filosofosi amtkicebs, rom samarTlianobis arsi _____ unda veZeboT, _____ bunebriv samarTalSi, romelic saerToa yvela xalxisaTvis. es
moazrovneebi, ra Tqma unda, Seuvali sikerpiT daicavdnen TavianT azrs, _____
erTi sayovelTao zneobrivi kanoni. magram daxeT bedis dacinvas: adamianebis
Tavneboba imdenad mravalgvaria, rom _____ arsebobs.
(a) mxolod adaT-wesebsa da zne-CveulebebSi / da ara _ / rom ar arsebuliyo
arc / aseTi kanoni marTlac ar
(b) ara mxolod adaT-wesebsa da zne-CveulebebSi / aramed, agreTve, / rom
aRmoeCinaT Tundac / uamravi aseTi kanoni
(g) adaT-wesebsa da zne-CveulebebSi ki ar / aramed / rom aRmoeCinaT Tundac /
aseTi kanoni erTic ki ar
(d) arc adaT-wesebsa da zne-CveulebebSi / arc / rom arsebuliyo Tundac /
ramdenime aseTi kanoni marTlac
29. amqveynad wignebis raodenoba sul ufro gaizrdeba da SegviZlia iseTi drois dadgomac viwinaswarmetyveloT, roca _____ swavla wignebidan, rogorc _
uSualod samyaros kvleviT; roca _____ mosaxerxebeli iqneba WeSmaritebis ama
Tu im marcvlis Zebna _____ , vidre _ misi Zebna akinZuli tomebis uzarmazar
simravleSi.
(a) TiTqmis iseve Zneli iqneba raimes / aranakleb / Tavad bunebaSi
(b) iseve SesaZlebeli iqneba yvelafris / ufro / biblioTekebSi
(g) iseve SeuZlebeli iqneba raimes / nakleb / biblioTekebSi
(d) TiTqmis iseve ioli iqneba yvelafris / metad / Tavad bunebaSi
30. televizias erTdroulad or rameSi sdeben brals da, _____ , erTi da igive adamianebi: erTi, rom _____ , Secvalos samyaro; meorec, rom _____ .
(a) rogorc mosalodnelia / is cdilobs / misi mcdelobis miuxedavad, samyaro
ukeTesobisken ar icvleba
(b) rogorc mosalodnelia / is ar cdilobs / misi mcdelobiT samyaro dRiTi
dRe uaresi xdeba
(g) rac marTlac ucnauria / mas SeuZlia / is ar cdilobs, ukeTesobisken
Secvalos samyaro
(d) rac marTlac ucnauria / is uZluria / misi gamoisobiT samyaro dRiTi dRe
uaresi xdeba
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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.
31. anim koncertze mosawvevi baraTi miiRo. misTvis baraTis gamogzavna mxolod misi oTxi megobridan erT-erTs SeeZlo. anim hkiTxa megobrebs: `vin gamomigzavna
mosawvevi baraTi?~
nika: mosawvevi baraTi lukam gamogigzavna.
luka: ara, me ar gamomigzavnia.
giorgi: me ar gamomigzavnia.
Tika: biWebidan mxolod erTi ambobs simarTles.
qvemoT CamoTvlilTagan romeli SemTxvevaa SesaZlebeli?
(a) simarTle Tqva Tikamac da giorgimac
(b) Tikam simarTle Tqva, lukam ki icrua
(g) Tikam icrua, xolo samive biWma simarTle Tqva
(d) Tikam icrua, biWebidan orma Tqva simarTle
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. eqspertma ivarauda, rom sajaro
moxeleebis muSaobis ZiriTadi motivi ar aris finansuri daintereseba.
qvemoT CamoTvlilTagan romeli viTareba ayenebs eWvqveS am varauds?
(a) kerZo seqtorSi dasaqmebuli specialistebisTvis Tanamdebobrivi dawinaurebis
da, Sesabamisad, anazRaurebis gazrdis albaToba ufro mcirea, vidre _
sajaro samsaxurSi dasaqmebulTaTvis
(b) sajaro samsaxurebSi specialistebis kvalifikaciis mimarT bevrad ufro
maRali moTxovnebia, vidre _ kerZo seqtorSi
(g) kerZo seqtorSi mosamsaxureebs samuSaos SenarCunebis TvalsazrisiT ufro
meti stabilurobis gancda aqvT, vidre _ sajaro seqtorSi dasaqmebul
specialistebs
(d) kerZo seqtorSi didi moTxovnaa kvalificiur specialistebze, Sesabamisad,
kerZo kompaniebi cdiloben, saukeTeso pirobebi SesTavazon TanamSromlebs
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33. mocemulia sami winadadeba: I. yvela kaWkaWi qurdbacacaa.
II. zogierTi qurdbacaca galiaSi zis.
III. zogierTi kaWkaWi galiaSi zis.
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) arc erTi maTgani ar gamomdinareobs danarCeni oridan
34. mocemulia:
• yvela kargi momRerali kargi musikosia. • kargi momRerlebi yvela qveyanaSi arian. • saqarTveloSi bevri kargi musikosia.
maSasadame, saqarTveloSi bevri kargi momReralia.
es daskvna:
(a) gamomdinareobs mxolod erT-erTi wanamZRvridan
(b) gamomdinareobs mxolod ori wanamZRvridan erTad
(g) gamomdinareobs samive wanamZRvridan erTad
(d) ar gamomdinareobs mocemuli wanamZRvrebidan
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16
wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
evoluciis Teoriis avtoris Carlz darvinis azriT, bunebrivi gadarCeva
mravali saukunis ganmavlobaSi uwyvetad mimdinareobs da cocxal organizmTa
garemo pirobebTan Seguebuli formebis warmoqmnas ganapirobebs. samxreT amerikis
namarxTa Seswavlisas darvini darwmunda iq mobinadre gadaSenebul da
Tanamedrove cxovelTa msgavsebaSi. man aRmoaCina biologiuri organizmebis e. w.
gardamavali formebic, romlebic sxvadasxva klasis warmomadgenelTa niSan-
Tvisebebs iTavsebdnen. es ki Tanamedrove da gadaSenebul formebs Soris
memkvidreobiTobis arsebobaze metyvelebda.
amave periodSi fizikosebma wamoayenes hipoTeza, rom dedamiwis istoria
gacilebiT ufro xanmoklea, vidre manamde warmoedginaT. Sesabamisad, savaraudo
iyo, rom evolucia naxtomebiT mimdinareobda _ TandaTanobiT mimdinare
`darviniseuli~ evoluciisaTvis dro ar iyo sakmarisi. fizikosTa aRmoCenebi
mniSvnelovani argumenti iyo darvinis Teoriis mowinaaRmdegeTaTvis, romlebic
ar iziarebdnen mis ideas evoluciis TandaTanobiTi da uwyveti xasiaTis Sesaxeb.
wertilovani wonasworobis Teoriis avtorebis stiven goldisa da nails
eldrijis Tanaxmad, namarxi formebis (e. w. geologiuri sabuTebis) `wyvetili~,
arasruli jaWvis arseboba aixsneboda ara imiT, rom napovn formebs Soris
arsebuli yvela gardamavali organizmi jer ar iyo aRmoCenili, aramed im
garemoebiT, rom saxeobaTa warmoSoba marTlac `wyvetilad~, naxtomebiT
mimdinareobda. amis sapirispirod, darvinis mimdevrebi miiCnevdnen, rom zogierTi
saxeobis SemTxvevaSi aRmoCenili `srulyofili~ geologiuri sabuTebi swored
uwyvet, TandaTanobiT mimdinare evoluciur procesze mianiSnebda. am
Tvalsazriss emxrobodnen biometrikosebi k. pirsoni da u. ueldoni, romlebic
amtkicebdnen, rom gazomvadi niSan-Tvisebebi (simaRle, sigrZe, wona da a. S.,
romlebsac biometria Seiswavlis) TandaTanobiT icvleba, rac swored evoluciis
uwyvetobaze metyvelebs.
wyvetili evoluciis ideas safuZveli Seuqmna hugo de frizis kvlevebma.
mis mier miRebuli Sedegebis Tanaxmad, individualuri maxasiaTeblebi Taobidan
Taobas gadaecema yovelgvari Serevisa da gasaSualoebis gareSe, Tumca, amasTanave,
ama Tu im TaobaSi Cndeba erTi da imave saxeobis organizmTa axali nairsaxeoba,
romelic mkveTrad gansxvavdeba danarCenebisgan da Tavis gansxvavebul niSan-
Tvisebebs memkvidreobiT gadascems STamomavlobas. aseT uecar cvlilebebs frizma
mutaciebi uwoda. mutaciis fenomenis aRmoCenam TiTqosda sabolood dausva
wertili mecnierTa davas evoluciis xasiaTis Sesaxeb. Tumca, Semdgomi kvlevebiT
gairkva, rom mutaciebis Teoriis safuZvelze yvelaferi ver aixsneboda da
uwyveti evoluciis idea isev aqtualuri gaxda.
amerikeli genetikosi uiliam kasli ikvlevda gadarCevis gavlenas
kurdRlebis Seferilobis cvalebadobaze. misi mizani iyo mutaciebis Teoriis
mxardasaWeri eqsperimentuli sabuTebis mopoveba. magram aRmoCnda, rom TeTri da
ruxi kurdRlebis Sejvarebis Sedegad axal individebSi Cndeba `Sereuli~
Seferiloba (TeTr kurdRlebs zurgze uCndebaT ruxi laqebi), romelic
eqsperimentis sawyis etapze am populaciaSi ar SeimCneoda, da rom populaciis
maxasiaTebelTa cvlilebis asaxsnelad uwyveti, anu TandaTanobiTi evolucia
sakmaod efeqturi iyo.
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17
35. qvemoT CamoTvlilTagan romeli faqti ar gamodgeba evoluciis mimdinareobis darviniseuli koncefciis mxardasaWerad? (upasuxeT I abzacis mixedviT)
(a) gadaSenebul da Tanamedrove organizmTa msgavseba agebulebiTa Tu sxva niSan-
TvisebebiT
(b) sxvadasxva klasisTvis specifikuri niSan-Tvisebebis Tavmoyra organizmTa
gardamaval formebSi
(g) Tanamedrove da gadaSenebul cxovelTa formebis damakavSirebeli rgolis
aRmoCena
(d) iseTi namarxebis arseboba, romlebic adasturebs evoluciis procesSi
sxvadasxva klasis organizmTa urTierTmonacvleobas
36. qvemoT CamoTvlilTagan romeli varaudis sawinaaRmdegod metyvelebda fizikosTa aRmoCenebi da, Sesabamisad, eWvqveS ayenebda darvinis Sexedulebas
evoluciis xasiaTis Sesaxeb?
es iyo varaudi:
(a) bunebrivi gadarCevis Sedegad saxeobaTa maxasiaTeblebis uecari cvlilebebis
Sesaxeb
(b) evoluciis neli, xangrZlivi mimdinareobis Sesaxeb
(g) garemo pirobebTan organizmTa Seguebis procesis kanonzomieri mimdinareobis
Sesaxeb
(d) Tanamedrove da gadaSenebul formebs Soris memkvidreobiTobis Sesaxeb
37. qvemoT CamoTvlilTagan romeli gadmoscems Semdegi winadadebis Sinaarss: `mutaciis fenomenis aRmoCenam TiTqosda sabolood dausva wertili mecnierTa
davas evoluciis xasiaTis Sesaxeb~?
(a) am aRmoCenam ganapiroba wyvetili evoluciis momxreTa saboloo gamarjveba
(b) am aRmoCenam ganapiroba wyvetili da uwyveti evoluciis momxreTa poziciebis
daaxloeba da saboloo SeTanxmeba
(g) am aRmoCeniT Seiqmna wyvetili evoluciis momxreTa saboloo gamarjvebis
STabeWdileba
(d) am aRmoCeniT uwyveti evoluciis momxreebi darwmundnen TavianTi
Tvalsazrisis marTebulobaSi
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18
38. rogor SeiZleba davaxasiaToT kaslis eqsperimentis Sedegebis mimarTeba de frizis TeoriasTan?
(a) kaslis Sedegebi ewinaaRmdegeboda de frizis varauds, romlis Tanaxmad, niSan-
Tvisebebi, Cveulebriv, Serevis gareSe gadaecema STamomavlobas
(b) kaslis Sedegebi eWvqveS ayenebda de frizis aRmoCenas, romlis Tanaxmad, yovel
TaobaSi Cndeba mkveTrad gansxvavebuli niSan-Tvisebebi
(g) kaslis Sedegebi ganamtkicebda de frizis varauds mutaciuri cvlilebebis
uecari gaCenis Sesaxeb
(d) kaslis Sedegebi arc ewinaaRmdegeboda da arc mxars uWerda de frizis
aRmoCenas individualur maxasiaTebelTa gasaSualoebis gareSe gadacemis
Sesaxeb
39. ra mimarTebaa teqstis I abzacsa da danarCen abzacebs Soris?
(a) teqstis danarCen abzacebSi mocemulia mxolod iseTi argumentebi, romlebic
ewinaaRmdegeba I abzacSi ganxilul Teorias
(b) teqstis danarCen abzacebSi warmodgenilia I abzacSi ganxiluli Teoriis
gamamyarebeli argumentebi
(g) teqstis zogierTi abzaci Seicavs I abzacSi ganxiluli Teoriis mxardamWer
argumentebs, zogi ki _ mis sawinaaRmdego sabuTebs
(d) teqstis bolo abzacSi warmodgenilia I abzacSi ganxiluli Teoriis
sawinaaRmdego argumenti, yvela sxva abzacSi ki _ misi gamamyarebeli sabuTebi
40. mocemuli teqstis mizania:
(a) gagvacnos evoluciis mimdinareobis Sesaxeb gansxvavebuli Teoriebi da
TiToeulis damadasturebeli Tu sawinaaRmdego argumentebi
(b) ganixilos evoluciis TeoriasTan dakavSirebuli urTierTsawinaaRmdego
mosazrebebi da dagvanaxos momavali kvlevis perspeqtiva
(g) ganixilos geologiuri, biometriisa Tu eqsperimentuli biologiis monacemebi,
romlebic evoluciis uwyvetobis sasargeblod metyvelebs
(d) gagvacnos gansxvavebuli poziciebi evoluciis bunebis Sesaxeb da daasabuTos
erT-erTi maTganis marTebuloba
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Savi samuSaosTvis
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21
maTematikuri nawili 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.
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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.
A da B qalaqebidan erTmaneTis Sesaxvedrad erTdroulad gamovida ori matarebeli. rogorc
pirveli, aseve, meore matarebeli Seuferxeblad,
Tanabari siCqariT moZraobda. Sexvedris Semdeg
pirvel matarebels B qalaqSi Casasvlelad 4 saaTi dasWirda, meores A-Si Casasvlelad ki _ 2 saaTi.
(a) (b) (g) (d)
43.
or tol wrewirs mxolod erTi
saerTo wertili aqvs da maTi
centrebi didi wrewiris diametrze
mdebareobs. TiToeul maTgans did
wrewirTanac mxolod erTi saerTo
wertili aqvs.
(a) (b) (g) (d)
49453217
53
meore matareblis siCqare
pirveli matareblis siCqare
didi wrewiris sigrZe patara wrewirebis
sigrZeTa jami
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44.
finjani 6-jer iafia larnakze, xolo TefSi _ 2-jer.
(a) (b) (g) (d)
45.
(a) (b) (g) (d)
46.
badis TiToeuli ujredi
kvadratia. ABC da MNK texilebis wveroebi badis
kvanZebs emTxveva (ix. naxazi).
(a) (b) (g) (d)
3 finjnis Rirebuleba TefSis Rirebuleba
22 ba ba 22 ba 2
ABC texilis sigrZe MNK texilis sigrZe
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amocanebi
47. ramdeniT metia udidesi luwi oTxniSna ricxvi udides kent samniSna ricxvze?
(a) 9-iT (b) 8999-iT
(g) 9001-iT (d) 9898-iT (e) 9899-iT
48. vanom 81-gverdiani moTxroba 3 dReSi waikiTxa. yovel momdevno dRes is winasTan SedarebiT 2 gverdiT mets kiTxulobda. ramdeni gverdi waukiTxavs vanos pirvel dRes?
(a) 21 (b) 23 (g) 25 (d) 27 (e) 29
49. Tu kvadratis farTobi tolia im marTkuTxedis farTobisa, romlis sigrZe 9 sm-ia, xolo sigane _ 4 sm, maSin am kvadratis perimetria:
(a) 12 sm (b) 13 sm (g) 18 sm (d) 24 sm (e) 26 sm
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25
50. romelia is ricxvi, romlis 37 nawili udris 35-s?
(a) 12 (b) 14 (g) 15 (d) 18 (e) 21
51. gigas a cali feradi kenWi hqonda. man Tavis Tanaklaselebs or-ori kenWi aCuqa. amis Semdeg mas 3 kenWi darCa. ramden Tanaklasels aCuqa kenWebi gigam?
(a) 5a
(b) 32 a
(g) 3
2a
(d) 2
3a
(e) 2
3a
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monacemTa analizi
seqtemberSi gamomcemloba sxvadasxva sagnis saxelmZRvaneloebs yidda. diagramaze
mrudebiT SemosazRvrulia areebi, romlebic gviCvenebs, Tu romel dReebSi yidda
gamomcemloba maTematikis, istoriis, geografiisa da biologiis saxelmZRvaneloebs
da ra farglebSi meryeobda erTi egzemplaris fasi dRis ganmavlobaSi.
magaliTad, diagramidan Cans, rom 10 seqtembers gamomcemloba yidda maTematikisa da istoriis saxelmZRvaneloebs, amasTan, maTematikis saxelmZRvaneloebis fasi am
dRis ganmavlobaSi 5,4-6,8 laris farglebSi meryeobda, xolo istoriisa _ 6,2-7,4 laris farglebSi.
diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas: 52. biologiis saxelmZRvanelos minimaluri fasi istoriis saxelmZRvanelos minimalur fasze metia:
(a) 0,2 lariT (b) 0,4 lariT (g) 0,6 lariT (d) 0,8 lariT (e) 1,0 lariT
53. romel dRes da romeli saxelmZRvanelos fasi meryeobda 5,8-6,4 laris farglebSi? (a) geografiis saxelmZRvanelos fasi 28 seqtembers (b) biologiis saxelmZRvanelos fasi 22 seqtembers (g) istoriis saxelmZRvanelos fasi 16 seqtembers
(d) maTematikis saxelmZRvanelos fasi 6 seqtembers (e) aseTi SemTxveva ar yofila
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54. ramdeni dRe iyo iseTi, romlis ganmavlobaSic gamomcemloba sami dasaxelebis saxelmZRvanelos yidda? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8
55. romeli winadadebaa marTebuli diagramis mixedviT? (a) maTematikis saxelmZRvanelos fasi yovelTvis naklebi iyo istoriis
saxelmZRvanelos fasze
(b) im dReebSi, roca geografiis saxelmZRvaneloebi iyideboda, istoriis
saxelmZRvaneloebi ar iyideboda
(g) Tvis ganmavlobaSi zogierT dRes oTxive dasaxelebis saxelmZRvanelo
iyideboda
(d) Tvis ganmavlobaSi ufro meti maTematikis saxelmZRvanelo gaiyida, vidre _
geografiisa
(e) im dReebis raodenoba, roca iyideboda rogorc maTematikis, aseve istoriis
saxelmZRvaneloebi, naklebia im dReebis raodenobaze, roca iyideboda rogorc
biologiis, aseve geografiis saxelmZRvaneloebi
amocanebi
56. Tu x da y iseTi ricxvebia, rom 032 y
x , maSin:
(a) 0x (b) 0y (g) 032 yx (d) 032 yx (e) 0xy
57. oTxi wrfis gadakveTisas miRebuli kuTxeebidan zogierTis sidide miTiTebulia naxazze. (a) 100° (b) 110° (g) 120° (d) 130° (e) 140°
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58. sami Zmis saSualo asaki 12 welia. ris toli iqneba maT asakTa jami 5 wlis Semdeg?
(a) 27 wlis (b) 36 wlis (g) 42 wlis (d) 51 wlis (e) 60 wlis
59. x, y da z aTze naklebi iseTi naturaluri ricxvebia, rom x + z + xy = 93. ris tolia z ?
(a) 3 (b) 4 (g) 5 (d) 6 (e) 7
60. klasSi moswavleTa raodenoba 35-ze naklebia. sakontrolo weris Sedegebi aseTi iyo: moswavleTa meeqvsedma miiRo 9 qula, mexuTedma _ 8 qula, danarCenebma _ 7 qula. ramden moswavles miuRia 7 qula?
(a) 16 (b) 17 (g) 18 (d) 19 (e) 20
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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.
(a) (b) (g) (d)
62.
saswavlebelSi 2001-2008 wlebSi pirvel kursze
yovelwliurad erTi da
imave raodenobis
studenti iricxeboda.
diagramaze warmodgenilia,
Tu ris toli iyo
gogonaTa procentuli
wili pirvelkurselebSi 2001-2008 wlebSi.
(a) (b) (g) (d)
25-dan 26-is CaTvliT yvela mTeli ricxvis
jami
26-dan 25-is CaTvliT yvela mTeli ricxvis
jami
2001-2008 wlebSi pirvelkurseli gogonebis
udidesi raodenoba
2001-2008 wlebSi pirvelkurseli vaJebis udidesi raodenoba
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63.
momReralTa konkursis yvela monawilem or turSi
miiRo monawileoba. im momReralTa raodenobebi,
romlebic pirvel turSi Seafases dabali da
saSualo qulebiT, ise Seefardeboda erTmaneTs,
rogorc 2:3, xolo im momReralTa raodenobebi, romlebic meore turSi Seafases saSualo da maRali
qulebiT _ rogorc 3:4.
(a) (b) (g) (d)
64.
k iseTi mTeli ricxvia, rom 1000100010203,0 k .
(a) (b) (g) (d)
65.
M wertili oTxkuTxa piramidis AD wibos Suawertilia, xolo N wertili _ BC wibos Suawertili.
(a) (b) (g) (d)
im momReralTa raodenoba, romlebic pirvel turSi Seafases
saSualo qulebiT
im momReralTa raodenoba, romlebic meore turSi Seafases saSualo qulebiT
5k
MKN KMN
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amocanebi
66. marTkuTxa sakoordinato sibrtyeze mocemulia wrewiri, romlis centria 4;3K . ris tolia am wrewirze mdebare wertilebis
y-koordinatebidan udidesis mniSvneloba, Tu x-koordinatebidan umciresis mniSvneloba 1-is tolia? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8
67. m, n da k naturaluri ricxvebidan TiToeuli 3-ze metia. ras udris am ricxvebis jami, Tu maTi namravli 140-is tolia?
(a) 14 (b) 15 (g) 16 (d) 17 (e) 18
68. furceli gaWres Suaze, Semdeg TiToeuli naWeri isev Suaze gaWres da ase moiqcnen kidev 6-jer. miRebuli naWrebis raodenobaa: (a) 82 (b) 821 (g) 62 (d) 623 (e) 62·3
69. ABC samkuTxedSi CBA . CamoTvlilTagan romlis toli SeiZleba iyos am samkuTxedis gverdebis sigrZeebi?
(a) 7 sm, 7 sm, 9 sm (b) 3 sm, 7 sm, 8 sm (g) 9 sm, 6 sm, 4 sm (d) 4 sm, 4 sm, 5 sm (e) 6 sm, 8 sm, 8 sm
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70. naturaluri ricxvis `sigrZe~ vuwodoT am ricxvis martiv TanamamravlTa raodenobas. magaliTad, 24-is `sigrZe~ 4-is tolia, radgan 322224 . maqsimum ris toli SeiZleba iyos 100-ze naklebi kenti ricxvis `sigrZe~?
(a) 3 (b) 4 (g) 5 (d) 6 (e) 7
71. b da y iseTi ricxvebia, rom 2b da 032 by . CamoTvlilTagan romlis toli SeiZleba iyos y ?
(a) 4,5 (b) 4,2 (g) 3,5 (d) 3,1 (e) 2,8
monacemTa sakmarisoba
72. ABCD paralelogramis AD gverdis sigrZe 4 sm-ia.
mocemulia ori piroba:
I. paralelogramis AD gverdis Sesabamisi simaRle 2 sm-is tolia. II. paralelogramis AB gverdis Sesabamisi simaRle 3 sm-is tolia.
imis gasarkvevad, Tu ris tolia paralelogramis farTobi:
(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
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73. nakveTi didi da patara traqtorebiT moxnes. didi traqtori patarasTan SedarebiT 2-jer ufro swrafad xnavda.
mocemulia ori piroba:
I. did traqtors am nakveTis mosaxnavad 3 dRe dasWirdeboda. II. patara traqtors am nakveTis mosaxnavad 6 dRe dasWirdeboda.
imis gasarkvevad, Tu ramdeni dRe dasWirda am nakveTis moxvnas:
(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. maRaziaSi televizorebis 70% pirveli kviris ganmavlobaSi gaiyida, xolo meore kviraSi gaiyida mxolod 12 televizori, romelTagan naxevari farToekraniani iyo.
mocemulia ori piroba:
I. meore kviris ganmavlobaSi gaiyida darCenili farToekraniani televizorebis
50%. II. ori kviris Semdeg gasayidad darCenili televizorebis mxolod mesamedi
iyo farToekraniani.
imis gasarkvevad, Tu ramdeni televizori iyo maRaziaSi Tavdapirvelad:
(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
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75. drois mocemul SualedSi (magaliTad, kviris, Tvis Tu wlis ganmavlobaSi) naleqianobis maCvenebeli ewodeba naleqiani dReebis raodenobis Sefardebas
mocemul SualedSi dReebis saerTo raodenobasTan.
mocemulia ori piroba:
I. ivnisis pirveli 20 dRis ganmavlobaSi naleqiani dReebis raodenoba 10-is toli iyo.
II. ivnisis bolo 20 dRis ganmavlobaSi naleqiani dReebis raodenoba 15-is toli iyo.
imis gasarkvevad, Tu ris toli iyo naleqianobis maCvenebeli ivnisis TveSi:
(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 amocanebi
76. naxazze mocemuli marTkuTxa paralelepipedi, romlis umciresi wibos sigrZea 2 sm, Sedgenilia toli kubebisgan. ris tolia am paralelepipedis moculoba? (a) 12 sm3 (b) 16 sm3 (g) 20 sm3 (d) 24 sm3 (e) 28 sm3
77. durgali SekveTis Sesasruleblad SabaT-kviris garda yoveldRe muSaobs. igi dReSi 6 skams amzadebs da SekveTaze muSaobas momdevno kviris oTxSabaTs, saRamos daasrulebs. mas rom dReSi 5 skami daemzadebina, maSin SekveTas 1 dRiT gvian Seasrulebda. kviris romel dRes dauwyia muSaoba durgals?
(a) paraskevs
(b) xuTSabaTs
(g) oTxSabaTs
(d) samSabaTs
(e) orSabaTs
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78. marTkuTxedis erT gverdze moniSnulia 4 wertili, mis mopirdapire gverdze _ 2 wertili. sul ramdenia iseTi oTxkuTxedi, romelTa oTxive wvero moniSnul wertilebs emTxveva?
(a) 3 (b) 6 (g) 9 (d) 12 (e) 15
79. agvistoSi ivlisTan SedarebiT 20%-iT meti turisti Camovida qalaqSi. seqtemberSi turistebis raodenoba wina TvesTan SedarebiT 10%-iT Semcirda. seqtemberSi qalaqSi Camosuli turistebis raodenoba ivlisTan SedarebiT:
(a) Semcirda 2%-iT (b) Semcirda 10%-iT (g) gaizarda 4%-iT (d) gaizarda 8%-iT (e) gaizarda 10%-iT 80. yuTSi wiTeli, Savi da TeTri burTulebi awyvia, sul _ 80 cali. wiTeli burTulebi burTulebis saerTo raodenobis 4
3 -ze mets Seadgens. darCenili
burTulebis 32 nawili Savia. maqsimum ramdeni TeTri burTula SeiZleba iyos
yuTSi? (a) 6 (b) 8 (g) 10 (d) 12 (e) 20
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zogadi unarebis 2012 wlis sagamocdo testebis pasuxebi
verbaluri nawili maTematikuri nawili
# var. 1 var. 2 var. 3 var.4 # var. 1 var. 2 var. 3 var.4 1. g d a a 41. b g a b 2. a b g d 42. a b b a 3. g b g a 43. d b g g 4. d g b b 44. b d g a 5. b a a a 45. g d g d 6. d d g g 46. g g a b 7. g a a g 47. a e b g 8. b d g b 48. e g g a 9. a d b a 49. d b d e
10. a g d d 50. d d g b 11. b b a d 51. g a e d 12. g g b g 52. d e b d 13. d a d g 53. g g a g 14. b b d b 54. d b b g 15. b g b g 55. e b e b 16. a d g d 56. b e e b 17. b d b g 57. a e d d 18. d a g g 58. b a d e 19. g a b b 59. e d a b 20. a g d d 60. a g d e 21. b g a b 61. b a b g 22. g d b a 62. g b g a 23. a a b g 63. a a d g 24. g g a b 64. d g a b 25. a g g a 65. a a d d 26. d b d d 66. b a g b 27. g a d b 67. g d g e 28. b b g g 68. e d a d 29. b g a a 69. a b e a 30. g a d g 70. e b b g 31. d g d g 71. b a e a 32. d d a a 72. d g a e 33. b b b b 73. b e d g 34. d d d d 74. e d g a 35. d b d d 75. g a e d 36. a a b b 76. e g d e 37. a b g a 77. g e b d 38. g d a b 78. d d b g 39. g a g d 79. a g d a 40. d b a g 80. b b a d
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