Post on 09-Oct-2019
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verbaluri nawili
analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,
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 gamuqebul sityvaTa urTierTmimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
1. qargva : moqarguli (a) darRveva : gakerili
(b) dakecva : dakecili
(g) awyoba : mowyobili
(d) anTeba : daferflili
2. ska : Tafli (a) rezidencia : kabineti
(b) arqivi : dokumenti
(g) beReli : fqvili
(d) marani : Rvino
3. gaziareba : gulSematkivari (a) mowesrigeba : maregulirebeli
(b) danawevreba : gamamTlianebeli
(g) daskvna : Semajamebeli
(d) Sedareba : obieqturi
4. foladi : xmali (a) Zua : ankesi
(b) xe : violino
(g) mina : broli
(d) yanwi : rqa 5. maketi : modeli (a) parteri : Teatri
(b) palitra : dafa
(g) pauza : intervali
(d) paroli : sityva
6. anonimuri : xelmowera (a) inertuli : pasiuroba
(b) WeSmariti : sandooba
(g) izolirebuli : martooba
(d) Cveulebrivi : originaloba
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7. javSani : skafandri (a) guga : Tvali
(b) igavi : novela
(g) kvirti : yvavili
(d) Senakadi : SesarTavi 8. atmosferuli teni : naleqebi (a) zRvari : sazRvrebi
(b) dRe : dResaswaulebi
(g) faqtori : faqtebi
(d) saTave : saTaurebi
9. arqaika : arqeologi (a) kardiograma : kardiologi
(b) prezidiumi : prezidenti
(g) sociumi : sociologi
(d) turizmi : turisti
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.
10. ocnebisa da sinamdvilis, warmosaxulisa da nanaxis erTmaneTisgan garCeva
cnobierebisTvis advilad misaRwevia. ai, amJamad Cems winaSe mdebare qaRaldis
furcels vxedav, _____ ; vxuWav Tvals, Cems cnobierebaSi qaRaldis xati _____
arsebobas, _____ axla me mas _____ .
(a) anu me mas aRviqvam / wyvets / miuxedavad imisa, rom / ver warmovidgen
(b) Tumca, ver aRviqvam / wyvets / amitom / mxolod warmovidgen
(g) Tumca, ver aRviqvam / mainc ganagrZobs / Sesabamisad, / ver warmovidgen
(d) anu me mas aRviqvam / mainc ganagrZobs / Tumca, / mxolod warmovidgen
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11. saxelmwifoebi _____ xdebian, _____ , rom Tanamedrove ekonomikurma,
teqnologiurma, ekologiurma da sxva procesebma aiZula isini, _____
gamxdariyvnen.
(a) erTmaneTisgan sul ufro damoukidebelni / radgan es maT Zalian swadiaT,
miuxedavad imisa / erTmaneTisgan damoukidebelni
(b) sul ufro urTierTdamokidebulni / ara imitom, rom es maT Zalian swadiaT,
aramed imitom / erTmaneTze damokidebulni
(g) erTmaneTze sul ufro naklebad damokidebulni / ara imitom, rom es maT
Zalian swadiaT, aramed imitom / urTierTdamokidebulni
(d) sul ufro urTierTdamokidebulni / radgan es maT Zalian swadiaT,
miuxedavad imisa / urTierTdamokidebulni
12. hipoTezis avtori madlieri unda iyos yvelasi, vinc misi hipoTezis _____ axal gzebs aCvenebs, _____ yoveli Semowmebis arsi isaa, rom hipoTezam _____
misi _____ mcdelobas.
(a) dasabuTebis / radgan / xeli Seuwyos / uaryofis
(b) dasabuTebis / Tumca, / xeli Seuwyos / damtkicebis
(g) susti mxareebis gamovlenis / radgan / gauZlos / uaryofis
(d) susti mxareebis gamovlenis / Tumca, / gauZlos / dadasturebis
13. ironia komikur efeqts, STabeWdilebas imiT qmnis, rom adamianebisa da
movlenebisadmi _____ damokidebulebas _____ faravs. ironia `eTamaSeba~ Tavis
msxverpls, _____ da ase kidev ufro _____ mas.
(a) keTilganwyobil da seriozul / aSkarad gamoxatuli simpaTiiTa da
TanagrZnobiT / akritikebs da dascinis / abriyvebs
(b) keTilganwyobil da seriozul / kritikiTa da dacinviT / mis mimarT
simpaTias aSkarad gamoxatavs / abriyvebs
(g) kritikul, damcinav / moCvenebiTi keTilganwyobiTa da seriozulobiT / mis
mimarT simpaTias aSkarad gamoxatavs / seriozuls xdis
(d) kritikul, damcinav / garegnuli keTilganwyobiTa da mowonebiT / moCvenebiTi
simpaTiiT da seriozulobiT abriyvebs / sasacilos xdis
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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 formiT.
14. mocemulia: • am qalaqSi mcxovrebi yvela bavSvi celqia
• arc erTi qera bavSvi ar aris celqi
davuSvaT, rom es debulebebi WeSmaritia. romeli daskvna gamomdinareobs maTgan?
(a) yvela celqi bavSvi am qalaqSi cxovrobs
(b) zogierTi qera bavSvi am qalaqSi cxovrobs
(g) am qalaqSi ar cxovrobs arc erTi qera bavSvi
(d) arc erTi bavSvi, romelic ar cxovrobs am qalaqSi, araa qera
15. wignis Taroze gverdigverd awyvia fizikis, qimiis, geografiisa da maTematikis saxelmZRvaneloebi (ara aucileblad am TanmimdevrobiT).
• geografiis saxelmZRvanelo devs fizikis saxelmZRvanelos gverdiT • geografiis saxelmZRvanelos gverdiT ar devs maTematikis saxelmZRvanelo • maTematikis saxelmZRvanelo arc qimiis saxelmZRvanelos gverdiT devs
qimiis saxelmZRvanelos gverdiT devs:
(a) mxolod geografiis saxelmZRvanelo
(b) mxolod fizikis saxelmZRvanelo
(g) rogorc fizikis, aseve, geografiis saxelmZRvanelo
(d) rogorc fizikis, aseve, maTematikis saxelmZRvanelo
16. mocemulia ori debuleba: • induri spiloebi ikvebebian balaxiTa da bananiT
• afrikuli spiloebi ikvebebian bananiTa da qoqosiT
gamoitanes daskvna:
im arsebaTa Soris, romlebic Wamen banans, arian spiloebic.
es daskvna:
(a) gamomdinareobs orive debulebidan, magram ar gamomdinareobs arc erTidan
cal-calke
(b) gamomdinareobs TiToeuli debulebidan cal-calke
(g) gamomdinareobs mxolod erT-erTi debulebidan
(d) ar gamomdinareobs mocemuli debulebebidan
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17. musikis moyvarulebi axalgazrda musikosTa konkursze gamarjvebas
uwinaswarmetyvelebdnen B musikoss, romelic jazuri musikis saukeTeso
Semsrulebeli iyo da yovelTvis aSkarad gamoxatavda Tavis gansakuTrebul
damokidebulebas jazis mimarT. magram konkursze gaimarjva D musikosma, romelic klasikuri musikis sferoSi moRvaweobda. musikis moyvarulebma es faqti axsnes
Jiuris wevrTa tendenciuri damokidebulebiT B-s mimarT.
qvemoT CamoTvlilTagan romeli matebs damajereblobas musikis moyvarulTa am
varauds?
(a) B sul axlaxlan dabrunda ucxoeTidan, sadac man jazuri musikis koncertebi gamarTa
(b) D gansakuTrebuli mondomebiT emzadeboda am konkursisTvis (g) Jiuris wevrTa umravlesoba klasikuri musikis sferoSi moRvawe xelovani iyo
(d) Jiuris Tavmjdomare cnobili kompozitori iyo, romlis erT-erTi
musikaluri kompozicia B-s repertuarSic iyo 18. fotografma italiis qalaqebSi gadaRebuli fotomasala 3 saqaRaldeSi
gaanawila. I saqaRaldes ewera `venecia~, II-s – `florencia~, III-s ki – `romi~.
marTlac, erT saqaRaldeSi ewyo mxolod veneciaSi, erTSi _ mxolod
florenciaSi, erTSi ki – mxolod romSi gadaRebuli fotoebi. amasTan, arc
erTi warwera ar Seesabameboda sinamdviles.
qvemoT CamoTvlilTagan, romeli debulebis WeSmaritebaa SeuZlebeli am
mocemulobis Tanaxmad?
(a) Tu I saqaRaldeSi awyvia florenciis fotoebi, maSin romis fotoebi II
saqaRaldeSia
(b) Tu III saqaRaldeSi awyvia florenciis fotoebi, maSin I saqaRaldeSi romis
fotoebia
(g) Tu II saqaRaldeSi veneciis fotoebia, maSin I saqaRaldeSi romis fotoebia
(d) Tu III saqaRaldeSi florenciis fotoebia, maSin II saqaRaldeSi romis
fotoebia
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
enisa da azrovnebis mWidro kavSiri eWvs ar iwvevs. magram ismis kiTxva: ena
mxolod azris gamoxatvas emsaxureba Tu Tavadac axdens gavlenas azris
Camoyalibebaze? azrovneben Tu ara erTnairad sxvadasxva enaze molaparake
adamianebi? am sakiTxs ikvlevdnen e. sepiri da b. l. uorfi. maT Camoayalibes
hipoTeza, romlis Tanaxmad, enobrivi Taviseburebebi gansazRvravs am enaze
molaparake adamianTa mier samyaros aRqmasa da azrovnebas.
uorfi miiCnevs, rom adamiani mSobliuri enis safuZvelze axdens samyaroSi
mimdinare movlenebis kategoriebad dayofas. Tanamedrove fsiqolingvists d. slobins
mohyavs Turqulenovani bavSvebis magaliTi. maT mSobliur Turqul enaSi arsebobs
zmnis sufiqsi, romelic gviCvenebs, rom mTxrobeli zmnaSi asaxuli moqmedebis
TviTmxilvelia. magaliTad, Turqi bavSvebi, sxva enebze molaparake bavSvebisgan
gansxvavebiT, burTis srolis situaciis aRwerisas Sesabamisi sityvis sxvadasxva
formas iyeneben imisda mixedviT, arian Tu ara am situaciis TviTmxilvelebi.
inglisur enaze molaparake adamianebisTvis ki samyaroSi mimdinare movlenebi
imTaviTve ar iyofa or kategoriad _ movlenebad, romlebic sakuTari TvaliT
ixiles, da movlenebad, romelTa Sesaxeb sxva wyaroebidan Seityves. samyaros aRqmaze
enis gavlenasTan dakavSirebiT sayuradReboa qarTvel da rus bavSvebze Catarebuli
eqsperimenti. bavSvebs sTxoves, daejgufebinaT sagnebi, ise, rom maTTvis winaswar ar
iyo cnobili, ra niSniT unda miekuTvnebinaT sagnebi ama Tu im jgufisTvis.
aRmoCnda, rom qarTvelma da rusma bavSvebma gamoyves saganTa sxvadasxva jgufebi imis
gamo, rom qarTul enaSi wvrili da Txeli sagnebis dasaxasiaTeblad gamoiyeneba
gansxvavebuli sityvebi, rusul enaSi ki orive es Tviseba erTi sityviT aRiniSneba.
enebs erTmaneTisgan ganasxvavebs is, Tu ramdenad advilad da zustad
SeiZleba gamovxatoT sityvebiT movlenebsa Tu sagnebs Soris arsebuli
gansxvavebebi. sxvadasxva enaSi ferTa saxelebis raodenoba sxvadasxvaa. lingvisturi
analizis safuZvelze dadginda, rom inglisur enaSi feris 11 dasaxeleba
arsebobs, xolo axali gvineis erT-erTi tomis enaSi _ mxolod ori: bneli da
naTeli. mecnierebma gamoTqves varaudi, rom ferTa saxelebis raodenoba gavlenas
axdens sxvadasxva enaze molaparake adamianTa mier ferebis klasificirebis unarze.
am varaudis Sesamowmeblad ikvlevdnen sxvadasxva enaze molaparake adamianTa mier
ferebis aRqmisa da klasificirebis Taviseburebebs.
eqsperimentSi cdispirebs sTxoves ganesazRvraT, sami feridan yvelaze metad
romeli gansxvavdeboda danarCeni orisgan. ferebi aRebuli iyo lurjidan
mwvanemde speqtrul diapazonSi (lurji, cisferi da mwvane). cdispirTa erT
jgufSi inglisurenovani adamianebi iyvnen (inglisur enaSi arsebobs mwvanisa da
lurjis leqsikurad gansxvavebuli erTeulebi, Tumca, lurji da cisferi erTi
sityviT aRiniSneba), xolo meoreSi – tarahumaras enaze molaparake meqsikelebi
(am enaSi cisfris, lurjisa da mwvane feris aRsaniSnavad arsebobs mxolod erTi
sityva). Tu sepir-uorfis hipoTeza marTebulia, maSin inglisurenovan cdispirebs
mwvane feri unda mieCniaT danarCeni orisgan _ lurjisa da cisfrisgan _
gansxvavebulad, xolo tarahumaras enaze molaparake cdispirebisTvis es amocana
SedarebiT rTuli unda yofiliyo. miRebuli Sedegebi sepir-uorfis hipoTezis
sasargeblod metyvelebda. Tumca, gasaTvaliswinebelia isic, rom arsebobs
kvlevebi, romlebic eWvqveS ayenebs am hipoTezis marTebulobas.
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19. qvemoT CamoTvlilTagan romelSia asaxuli teqstis I abzacSi dasmuli
SekiTxvebis ZiriTadi azri?
(a) ena SesaZloa iyos ara mxolod azris gaformebis saSualeba, aramed
azrovnebis procesis aRmocenebis safuZveli
(b) ena SesaZloa emsaxurebodes rogorc azris gamoxatvas, ise mis sxvadasxvagvarad
gamoTqmas
(g) ena, savaraudod, gavlenas axdens azrovnebaze da sxvadasxva enaze molaparake
adamianTa gansxvavebulad azrovnebis ganmapirobebeli erT-erTi faqtoria
(d) ena, savaraudod, warmoadgens azris gamoxatvisa da Camoyalibebis rogorc
xelSemwyob, ise Semaferxebel faqtors
20. teqstis II abzacSi moyvanilia Turqulenovani bavSvebis magaliTi, agreTve, qarTvel da rus bavSvebze Catarebuli eqsperimentis Sedegebi. ra mimarTebaa maT
Soris?
(a) rogorc Turqulenovani bavSvebis magaliTi, ise eqsperimentis Sedegebi imaze
mianiSnebs, rom mSobliuri ena gansazRvravs samyaros movlenaTa
sxvadasxvagvarad dajgufebas
(b) rogorc Turqulenovani bavSvebis magaliTi, ise eqsperimentis Sedegebi eWvqveS
ayenebs im mosazrebas, rom mSobliuri ena gavlenas axdens samyaros movlenaTa
diferencirebisa Tu klasificirebis xasiaTze
(g) Turqulenovani bavSvebis magaliTi gviCvenebs, rom mSobliuri enis gavleniT
adamianebi gansxvavebulad aRiqvamen samyaros, xolo eqsperimentis Sedegebi
saganTa erTnairad dajgufebis SesaZleblobas uaryofs
(d) eqsperimentis Sedegebi adasturebs im mosazrebas, rom sxvadasxva enaze
molaparake adamianebi gansxvavebulad ajgufeben sagnebs, xolo Turqulenovani
bavSvebis magaliTi abaTilebs am mosazrebas
21. qvemoT CamoTvlilTagan romeli araa marTebuli?
(a) inglisur enaSi ar arsebobs zmnis iseTi sufiqsi, romlis meSveobiT
SesaZlebelia gavigoT, iyo Tu ara adamiani raime movlenis TviTmxilveli
(b) inglisur enaSi ar moipoveba sityvebi imis gadmosacemad, iyo Tu ara adamiani
raime movlenis TviTmxilveli
(g) inglisurenovan adamianebs gauWirdebaT mxolod erTi sityviT migvaniSnon,
iyvnen Tu ara raime movlenis TviTmxilvelni
(d) inglisurenovani adamianebisTvis movlenebi imTaviTve ar aris kategorizebuli
imis mixedviT, iyvnen Tu ara isini am movlenebis TviTmxilvelni
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22. III da IV abzacebis safuZvelze SeiZleba vivaraudoT, rom:
(a) rac ufro meti sityva arsebobs enaSi ferebis aRsaniSnavad, miT ufro
mravalferovania am enaze molaparake adamianTa mier aRqmuli samyaro
(b) rac ufro naklebi sityva gamoiyeneba enaSi ferebis aRsaniSnavad, miT ufro
uWirT am enaze molaparake adamianebs movlenaTa Soris arsebuli msgavsebis
gamoxatva
(g) rac ufro meti sityva arsebobs enaSi gansxvavebuli ferebis aRsaniSnavad, miT
ufro zustad SeuZliaT am enaze molaparake adamianebs sagnebisa Tu
movlenebis daxasiaTeba feris mixedviT
(d) rac ufro naklebia ferebis aRmniSvneli sityva enaSi, miT ufro iSviaTad
sWirdebaT am enaze molaparake adamianebs ama Tu im feris sagnebTan
urTierToba
23. warmoidgineT, rom eqsperimentSi monawileobdnen qarTulenovani,
inglisurenovani da tarahumaras enaze mosaubre bavSvebi, romlebsac feris
mixedviT unda daejgufebinaT cisferi, mwvane da lurji fanqrebi. sepir-uorfis
hipoTezis Tanaxmad, mosalodnelia, rom:
(a) tarahumaras enaze molaparake bavSvebisgan gansxvavebiT, qarTulenovani da
inglisurenovani cdispirebi fanqrebis erTi da imave raodenobis jgufebs
gamoyofdnen
(b) fanqrebis yvelaze met jgufs gamoyofdnen qarTulenovani, Semdeg _
inglisurenovani da bolos _ tarahumaras enaze molaparake bavSvebi
(g) fanqrebis yvelaze met jgufs gamoyofdnen inglisurenovani cdispirebi, Semdeg
_ qarTulenovani da bolos _ tarahumaras enaze molaparake bavSvebi
(d) fanqrebis yvelaze met jgufs gamoyofdnen qarTulenovani bavSvebi, xolo
inglisurenovani da tarahumaras enaze molaparake cdispirebi _ erTi da imave
raodenobis jgufebs
24. ra mimarTebaa II da IV abzacebSi aRweril eqsperimentebs Soris?
(a) maTi Catarebis procedura gansxvavebulia, miuxedavad amisa, maTi mizani erTi
da imave movlenis Seswavla da erTi konkretuli Teoriuli koncefciis
Semowmeba iyo
(b) maTi Catarebis procedura identuria, miuxedavad imisa, rom maTi mizani
gansxvavebuli movlenebis Seswavla iyo, ris safuZvelzec erTi da igive
hipoTeza mowmdeboda
(g) maTi Catarebis procedura identuria, iseve, rogorc msgavsi iyo maTi
Seswavlis sagani, rac erTi da imave Teoriuli koncefciis Semowmebis
saSualebas iZleoda
(d) maTi Catarebis procedura gansxvavebulia, iseve, rogorc gansxvavebuli iyo
maTi Seswavlis sagani da Sesamowmebeli hipoTeza
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25. teqstis avtoris mTavari mizania:
(a) dagvanaxos, Tu ra sirTuleebTanaa dakavSirebuli enisa da azrovnebis
urTierTmimarTebis sakiTxis Seswavla, rac dasabuTebulia eqsperimentuli
monacemebiT
(b) gviCvenos, rom azrovnebisa da enis urTierTkavSiris mravali aspeqti dRemde
ar aris Seswavlili, iseve, rogorc winaaRmdegobrivia am sakiTxis irgvliv
gamoTqmuli Sexedulebebi
(g) garkveul mecnierul mosazrebasTan mimarTebaSi ganixilos faqtobrivi masala
da eqsperimentuli monacemebi, romlebic enisa da azrovnebis urTierTkavSirs
Seexeba
(d) mravali urTierTsawinaaRmdego eqsperimentuli monacemisa da faqtobrivi
masalis analizis safuZvelze daasabuTos enisa da azrovnebis kavSiris Sesaxeb
arsebuli erT-erTi yvelaze cnobili hipoTeza
analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,
romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. maT gaswvriv
mocemulia sityva, romelsac savaraudo pasuxebidan unda SeusabamoT erT-erTi
varianti, ise, rom miRebul wyvilSi sityvaTa mniSvnelobebs Soris mimarTeba
gamuqebul sityvaTa urTierTmimarTebis msgavsi (analogiuri) iyos. pasuxis
arCevisas gaiTvaliswineT wyvilebSi sityvaTa Tanmimdevroba.
26. saTvistomo : Tanamemamule Teatris dasi :
(a) reJisori
(b) scenaristi
(g) msaxiobi
(d) personaJi
27. analogia : msgavseba simetria :
(a) ganlageba
(b) Tanazomiereba
(g) Sefardeba
(d) ganzomileba
28. qaravani : jogi gazoni :
(a) xeivani
(b) mindori
(g) nakrZali
(d) yvavilnari
29. teqstis fragmenti : citata sityva :
(a) mniSvneloba
(b) leqsika
(g) fraza
(d) termini
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30. kvalificiuri : diletanturi udavo:
(a) safuZvliani
(b) daujerebeli
(g) marTebuli
(d) sakamaTo
31. yuri : melodiuri Tvali :
(a) mkrTali
(b) maxvili
(g) aRqmuli
(d) dakvirvebuli
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.
32. mona evripidesTvis, pirvel yovlisa, adamiania, romelsac _____ ufleba.
ufro metic, patiosani mona arafriT _____ . Tumca, evripide bolomde
Tanmimdevruli rodia. is iziarebs Sexedulebas, rom _____ es ukanasknelni
_____ dabadebulni.
(a) ar aqvs arCevanis / ar SeiZleba iyos Tavisufali moqalaqis swori / adamianebs
ver davyofT elinebad da barbarosebad, magram / mainc ar arian
TavisuflebisTvis
(b) ar aqvs arCevanis / ar SeiZleba iyos Tavisufali moqalaqis swori /
adamianebi iyofian elinebad da barbarosebad, da / monobisTvis arian
(g) aqvs arsebobis / ar aris Tavisufal moqalaqeze naklebi / adamianebi iyofian
elinebad da barbarosebad, magram / monobisTvis sulac ar arian
(d) aqvs arsebobis / ar aris Tavisufal moqalaqeze naklebi / adamianebi iyofian
elinebad da barbarosebad, da / monobisTvis arian
12
33. Tu me keTilganwyobas _____ sxva adamianis mimarT mxolod imitom, rom _____ momavalSic mqondes masTan saqme, _____ , rom sinamdvileSi me mis mimarT
keTilganwyobili _____ angarebiT _ sikeTe _____ , Tu is sakuTriv sikeTis
qmnas ar emsaxureba.
(a) viCen / msurs / es niSnavs / ki ar var, aramed vmoqmedeb / araa sikeTe
(b) ar viCen / ar msurs / es niSnavs / ar var da vmoqmedeb / mxolod maSinaa
sikeTe
(g) viCen / msurs / es ar niSnavs / ar var da vmoqmedeb / mxolod maSinaa sikeTe
(d) ar viCen / ar msurs / es ar niSnavs / ar var, rom vmoqmedeb / araa sikeTe
34. mdinare xmeleTis sxvadasxva nawils erTmaneTisgan yofs. miT ufro yofs maT zRva da amitom miCveulni varT, wyali gamyof faqtorad miviCnioT. _____ ,
araferi ise _____ . gamyofi mxolod _____ . magaliTad, xmelTaSua zRvam
mxolod imitom _____ antikuri samyaros centri gamxdariyo, rom _____ .
(a) amasTan / damaaxloebeli ar aris adamianebisTvis, rogorc xmeleTi / wyalia /
SeZlo / uamrav kunZuls akavSirebda kontinentur saberZneTTan
(b) Tumca / damaSorebeli ar aris adamianebisTvis, rogorc wyali / mTianeTia /
ver SeZlo / igi zRva iyo
(g) Tumca / damaaxloebeli ar aris adamianebisTvis, rogorc wyali / mTianeTia /
SeZlo / igi zRva iyo
(d) amasTan / damaSorebeli ar aris adamianebisTvis, rogorc xmeleTi / wyalia /
ver SeZlo / uamrav kunZuls akavSirebda kontinentur saberZneTTan
35. romelime sxva saxelmwifosTan koaliciaSi Sesvla aris valdebuleba _____ dacvisa, isini ki, SesaZloa, _____ interesebs. _____ , multipolarul sistemaSi
_____ kompleqsur Tavsatexs warmoadgens.
(a) sakuTari, anu koaliciaSi Semsvleli saxelmwifos interesebis / ar
ewinaaRmdegebodnen mokavSire saxelmwifos / Sesabamisad / sakuTari da
potenciuri mokavSireebis interesebis dapirispireba
(b) misi garkveuli interesebis / ewinaaRmdegebodnen koaliciaSi Semsvleli
saxelmwifos / Sesabamisad / sakuTari da potenciuri mokavSireebis
interesebis urTierTSeTanxmeba
(g) misi interesebis / ar ewinaaRmdegebodnen koaliciaSi Semsvleli saxelmwifos /
miuxedavad amisa / potenciuri mokavSireebis interesebis ignorireba
(d) sakuTari, anu koaliciaSi Semsvleli saxelmwifos interesebis /
ewinaaRmdegebodnen mokavSire saxelmwifos / miuxedavad amisa / sakuTari
interesebis ignorireba
13
36. rodesac umravlesobasa da umciresobaze msjeloben, erTi da imave jgufis wevrebs gulisxmoben, _____ individze umravlesobisa da umciresobis gavlenis
formebi _____ . umravlesobis zegavlenas Sedegad mosdevs _____ , magram
droebiTi daTmoba individis mxridan, _____ umciresobis zegavlenas _ _____
pirovnuli cvlilebebi.
(a) Tumca, / gansxvavebulia / aSkara, swrafi / xolo / araTvalsaCino, Tumca,
xangrZlivi da Rrma
(b) Sesabamisad, / gansxvavebuli araa / aSkara, swrafi / msgavsad amisa, /
araTvalsaCino, Tumca, xangrZlivi da Rrma
(g) miuxedavad amisa, / msgavsi araa / arcTu TvalsaCino, swrafi / maSin, rodesac
/ faruli da xanmokle
(d) swored amitom / msgavsia / arcTu TvalsaCino, faruli / analogiurad, /
aSkara da xangrZlivi
37. qarTuli xasiaTi _____ `mosasxamebs da niRbebs~ Tmobs daunaneblad, _____ maT `Camoglejas~, _____ . yovelive es (`mosasxamic~, `pirobiTobac~, `niRbebic~)
mas _____ Tvisebad warmoudgeba.
(a) iolad eleva `pirobiTobas~, iseve, rogorc / Tumca, mTeli ZaliT eswrafvis
/ radgan ar surs SiSvel sinamdviles Tvali gausworos / cxovrebis
umniSvnelo
(b) iolad eleva `pirobiTobas~, iseve, rogorc / mTeli ZaliT eswrafvis / raTa
SiSveli sinamdvile ixilos / cxovrebis arsebiT
(g) iolad ver eleva `pirobiTobas~, verc / aramc da aramc ar Cqarobs / radgan
ar surs SiSvel sinamdviles Tvali aaridos / cxovrebis umniSvnelo
(d) iolad ver eleva `pirobiTobas~, verc / aramc da aramc ar Cqarobs / raTa
SiSveli sinamdvile ixilos / cxovrebis arsebiT
14
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 formiT.
38. sportuli firmis dakveTiT Catarda kvleva imis gasarkvevad, romeli
produqciis reklama axsovT axalgazrdebs yvelaze ukeT. gamoikveTa erT-erTi
sportuli inventaris ori reklama. sportuli firmis xelmZRvanelobam es faqti
imiT axsna, rom Tavad es inventari gansakuTrebiT popularulia axalgazrdebSi.
qvemoT CamoTvlilTagan romeli ayenebs eWvqveS sportuli firmis
xelmZRvanelobis am varauds?
(a) orive reklamaSi monawileobdnen sportsmenebi, romelTa saxelebi da
garegnoba naklebad cnobilia axalgazrdebisTvis
(b) orive reklamas televiziiT daaxloebiT imave sixSiriT uCvenebdnen,
rogoriTac am firmis sxva produqciis reklamas
(g) sxva reklamebisgan gansxvavebiT, orive es reklama Txilamurebs uwevda
popularizacias, romlebic yvelaze gayidvad produqciad iTvleba sportis
samyaroSi
(d) sxva reklamebisgan gansxvavebiT, orive es reklama ganTavsebuli iyo banerebze,
romlebic, ZiriTadad, qalaqis centralur quCebze mdebareobda
39. mocemulia: • ar arsebobs msaxiobi, romelic hamletis rolis Sesrulebaze ar ocnebobs
qvemoT CamoTvlilTagan romelia am debulebis tolfasi?
(a) yvela, vinc hamletis rolis Sesrulebaze ocnebobs, msaxiobia
(b) vinc msaxiobi ar aris, ar ocnebobs hamletis rolis Sesrulebaze
(g) msaxiobTa umravlesoba ocnebobs hamletis rolis Sesrulebaze
(d) mxolod is aris msaxiobi, vinc hamletis rolis Sesrulebaze ocnebobs
15
40. mocemulia: • Tu guSin giorgim xelfasi aiRo da SabaTs ragbis matCze megobris
dapatiJeba surs, is an dResve dajavSnis bileTebs, an xval salaroSi wava
maT SesaZenad
• giorgis surs SabaTs ragbis matCze megobris dapatiJeba
• giorgis dRes bileTebi ar daujavSnia
qvemoT CamoTvlilTagan romeli viTarebis ganxorcielebaa SeuZlebeli am
mocemulobis Tanaxmad?
(a) giorgim guSin xelfasi aiRo da is xval salaroSi midis ragbis matCis
bileTebis SesaZenad
(b) giorgim guSin xelfasi aiRo da is xval salaroSi ar midis ragbis matCis
bileTebis SesaZenad
(g) giorgis guSin xelfasi ar auRia da is xval salaroSi midis ragbis matCis
bileTebis SesaZenad
(d) giorgis guSin xelfasi ar auRia da is xval salaroSi ar midis ragbis
matCis bileTebis SesaZenad
41. sami qalbatoni A, B da C msjelobs maTi saerTo nacnobis suraTebis
koleqciaze.
A: lados aqvs elene axvledianis oTxi originali mainc B: lados koleqciaSi elene axvledianis oTxi originali ar aris C: Cemi azriT, lados aqvs elene axvledianis sul mcire erTi originali
qalbatonebma daaTvalieres lados koleqcia. maTgan marTali aRmoCnda mxolod
erTi. elene axvledianis ramdeni originalia lados koleqciaSi?
(a) 0
(b) 1
(g) 2 an 3
(d) 4 an 5
42. mocemulia: • Tu SaSvs raime siamovnebs, is kargad galobs • SaSvs Zalian siamovnebs, rodesac TeTr Rrublebs xedavs
qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am wanamZRvrebidan?
(a) Tu SaSvi kargad ar galobs, is TeTr Rrublebs ver xedavs
(b) Tu SaSvi kargad galobs, is TeTr Rrublebs xedavs
(g) Tu SaSvi TeTr Rrublebs ver xedavs, kargad ver galobs
(d) Tu SaSvi kargad galobs, mas raRac siamovnebs
16
wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
ra gziT moxda homerosis poemebis `iliadasa~ da `odiseas~ Camoyalibeba _
zepirad Tu werilobiT? folkloris mkvlevarTa azriT, zepiri gziT SeiZleba
Seiqmnas da Taobidan Taobas gadaeces sakmaod vrceli epikuri nawarmoebi. es
SesaZlebeli xdeba poet-Semsruleblis mier sagangebo epikuri enis codnis
wyalobiT, rac mravalricxovani poeturi formulis (leqsis erTsa da imave
poziciaSi regularulad ganmeorebadi sityvebisa da frazebis) damaxsovrebasa da
codnas gulisxmobs. ramdenadac homerosis eposSi bevria amgvari formula,
gansakuTrebiT ki e. w. gaqvavebuli epiTetebi, `zepiri poeziis~ momxreTa
TvalsazrisiT, homerosis poemebi zepirad Seiqmna da mxolod Semdgom Caiwera an
homerosisave epoqaSi, anda _ mogvianebiT.
homerosTan poeturi formulebis gamoyeneba mTel poemaSi eqvemdebareba
ganawilebis sruliad garkveul kanonebs, rac mxolod mkafio struqturis mqone,
werilobiT Seqmnil teqsts SeiZleba axasiaTebdes. magaliTad, poemis erTmaneTisgan
daSorebul adgilebSi erTi da imave formulis Segnebuli gamoyenebiT poeti
xazs usvams pasaJTa Soris kavSirs. gmirebi iseTi sixSiriT iyeneben maTi
metyvelebis erTmaneTisgan ganmasxvavebel sityvebsa Tu frazebs, rom ubralo
damTxveva praqtikulad gamoricxulia. ukanaskneli gamokvlevebiT naTeli gaxda,
rom homerosis poemebi mkacrad organizebul sistemas warmoadgens. kompoziciuri
organizaciis homerosiseuli principebi, moqmedebis agebis Taviseburebani, gmirTa
individualizaciis xerxebi mxolod werilobiTi gziT Seqmnili didi
eposisaTvisaa niSandoblivi.
homerosis orive poema agebulia kompoziciuri organizaciis im principTa
Sesabamisad, romlebic geometriuli epoqisTvis* aris damaxasiaTebeli. magaliTad,
romelime gmiris mier warmoTqmuli sityva warmoadgens garkveul struqturul
mTlianobas, xolo calkeuli winadadebebi misi Semadgeneli elementebia.
TiToeuli winadadeba raRac mniSvnelobis mqone erTeulia. analizma aCvena, rom
es winadadebebi mniSvnelobaTa msgavsebis an polarulobis mixedviT nawildeba
mTel sityvaSi ori ZiriTadi principiT: isini an sityvis centraluri nawilis
mimarT `wriulad~ ganlagdebian a b c b1 a1 mimdevrobiT, an paralelurad _
a b c…a1 b1 c1 mimdevrobiT arian warmodgenilni. sainteresoa wriuli kompoziciis
aseTi magaliTic: `iliadaSi~ pirveli qeba mTavrdeba Semdegi epizodebiT:
aqilevsisa da Tetisis saubari, Tetisis da zevsis saubari, kamaTi olimpoze.
xolo bolo qeba iwyeba tipologiurad msgavsi epizodebiT: kamaTi olimpoze,
zevsisa da Tetisis saubari, Tetisis da aqilevsis saubari... cxadia, epizodTa
tipologiur msgavsebaSi ar igulisxmeba maTi Sinaarsobrivi igiveoba: sxva aqvT
RmerTebs sakamaTo pirvel qebaSi da sxva rameze davoben isini bolo qebaSi.
amrigad, homerosis eposSi Sinaarsis mqone elementebi dalagebulia
kompoziciuri organizaciis ori ZiriTadi principis _ wriuli kompoziciisa da
paraleluri dayofis _ Sesabamisad. mesame principis, Tavisufali mimdevrobis,
roli SedarebiT umniSvneloa. kompoziciuri organizaciis es principebi Tavs
iCens rogorc umcires struqturul erTeulebSi (calkeuli gmiris mier
warmoTqmul sityvebSi), aseve, ufro mozrdilSi _ calkeul scenebsa Tu scenaTa
jgufebSi da, bolos, poemis mTel struqturaSi.
*geometriuli epoqa _ (e.w. homerosis epoqa) Zv. w. aR IX-VIII ss. saberZneTSi; am periodis
xelovnebis nimuSebisTvis damaxasiaTebelia mkacri geometrizmi; geometriuli stili gulisxmobs
gansxvavebuli detalebisa Tu motivebis erTmaneTze damokidebulebas an maT koordinacias.
17
43. sagangebo epikuri enis codna SesaZlebels xdis:
(a) gaqvavebuli epiTetebis gamoyenebas leqsis erTsa da imave poziciaSi epikuri
nawarmoebis werilobiT Camoyalibebis dros
(b) regularulad ganmeorebadi sityvebisa da frazebis damaxsovrebas vrceli
epikuri nawarmoebis Seqmnis procesSi
(g) nairgvari poeturi formulebis sistemur gamoyenebas vrceli poemis zustad
gansazRvrul adgilebSi
(d) folklorul nimuSebSi poet-SemsrulebelTa erTmaneTisgan gansxvavebas
poeturi formulebis originalurobis TvalsazrisiT
44. qvemoT CamoTvlilTagan romeli ar SeiZleba gamoviyenoT imis argumentad, rom homerosis poemebi werilobiT Camoyalibda?
(a) homerosis eposi originaluria kompoziciuri organizaciis, moqmedebis agebis
Taviseburebis Tu personaJTa individualizaciis TvalsazrisiT
(b) homerosis eposSi TiToeuli personaJis metyvelebisTvis damaxasiaTebeli
sityvebisa da gamoTqmebis gamoyeneba garkveuli wesebis safuZvelze xdeba
(g) homerosis eposSi poeturi formulebi mkacrad organizebuli sistemis,
garkveuli kanonzomierebis safuZvelzea ganawilebuli
(d) msgavsi poeturi formulebis mizanmimarTulad ganawileba erTmaneTisgan
sakmaod daSorebul monakveTebSi epizodTa garkveul urTierTmimarTebaze
metyvelebs
45. ra mimarTebaa III abzacsa da sqolios Soris?
(a) III abzacSi homerosis poemebi ganxilulia, rogorc struqturuli mTlianoba,
sqolioSi ki dadasturebulia am poemebisTvis niSandoblivi swrafva
geometrizmisken da sistematizaciisken
(b) III abzacSi axsnilia kompoziciuri organizaciis homerosiseuli principebi,
sqolioSi ki ganmartebulia homerosis epoqisTvis damaxasiaTebeli
geometriuli stilis specifika
(g) III abzacSi warmodgenilia teqstis organizebis geometriuli epoqisTvis
damaxasiaTebeli principebi, sqolioSi ki es principebi Sedarebulia amave
epoqis mxatvruli nawarmoebis agebis wesTan
(d) III abzacSi axsnilia poemebSi mniSvnelobis mqone calkeul elementTa
ganawilebis homerosiseuli principi, sqolioSi ki ilustrirebulia
gansxvavebul elementTa Taviseburebani
18
46. ra funqcia aqvs teqstSi simbolur Canawerebs _ abcb1a1 , abc…a1b1c1?
es gamosaxulebebi:
(a) TvalsaCinos xdis poemis kompoziciis sapirispiro polusebis Sinaarsobriv
identurobas
(b) warmoadgens antikuri saberZneTis mxatvrul azrovnebaSi damkvidrebuli
principebis ilustrirebas
(g) warmoadgens xalxuri da werilobiT Seqmnili eposis tipologiuri msgavsebis
ilustrirebas
(d) TvalsaCinos xdis wriuli kompoziciis aTvlis wertils, anu poemis
kompoziciur centrs
47. fraza _ `sxva aqvT RmerTebs sakamaTo I qebaSi da sxva rameze davoben isini bolo qebaSi~ _ imas migvaniSnebs, rom:
(a) poemis erTmaneTisgan daSorebul adgilebSi erTi da imave formulis
Segnebuli gamoyenebiT poeti xazs usvams pasaJTa Soris kavSirs
(b) rodesac epizodebi centris mimarT wriuladaa ganlagebuli, maSin
tipologiur msgavsebaSi ar igulisxmeba Sinaarsobrivi igiveoba, paraleluri
dayofisas ki _ piriqiT, tipologiuri msgavseba gulisxmobs Sinaarsobrivs
(g) struqturulad msgavsi winadadebebi mTel sityvaSi an calkeuli scenebi
mTel teqstSi garkveuli principiT nawildeba, miuxedavad maTi Sinaarsis
igiveobisa Tu sxvaobisa
(d) romelime gmiris mier warmoTqmuli sityva an poemis calkeuli epizodi
warmoadgens garkveul struqturul mTlianobas, romelTa pirveli da bolo
nawilebi Sinaarsobrivad identuria
19
48. qvemoT warmodgenilia `iliadas~ dasawyissa da dasasruls ganlagebuli (I da XXIV qebaTa epizodebis) scenebi:
epizodebisa Tu scenebis ganlagebis romeli aRweraa marTebuli?
(a) poemis centraluri nawilis mimarT I da XXIV qebaTa epizodebi wriulad
arian ganlagebulni, am epizodTa scenebi ki erTmaneTs paraleluri dayofis
principiT ukavSirdeba
(b) qebaTa scenebi rogorc centris, aseve, erTmaneTis mimarT wriuli
kompoziciis principiTaa ganawilebuli
(g) pirvel da bolo qebaTa es epizodebi erTmaneTis mimarT wriulad arian
ganlagebulni, xolo centraluri nawilis mimarT _ paraleluri mimdevrobis
Sesabamisad
(d) pirvel qebaSi scenebi ganlagebulia tipologiuri msgavsebis, xolo bolo
qebaSi _ tipologiuri gansxvavebis niSniT
49. teqstis Tanaxmad, ra mimarTebaa folklorsa da homerosis eposs Soris?
(a) zepiri gziT iqmneba vrceli folkloruli nawarmoebi; homerosis eposi
mravali niSniT hgavs xalxurs, Sesabamisad, isic zepirad unda Seqmniliyo
(b) folklorisTvis damaxasiaTebeli poeturi formulebis ganawilebis principi
umcires struqturul erTeulebSi iCens Tavs, homerosis eposSi ki igive
principi Cans mTel struqturaSi
(g) Sinaarsis mqone elementTa kompoziciuri ganawilebis wriuli Tu paraleluri
mimdevrobis principi, homerosis eposisgan gansxvavebiT, folklorul
nimuSebSi mkacrad gansazRvruli ar aris
(d) folklorisTvis damaxasiaTebelia specifikuri epikuri ena; igive maxasiaTebeli
homerosTan iZens sistemur xasiaTs _ teqstis umciresi erTeulidan mis
mTlian struqturamde
50. teqsti iwyeba SekiTxviT. romel abzacSi gvaqvs misi pasuxi?
(a) I abzacSi _ homerosis poemebi zepirad Seiqmna da mxolod Semdeg Caiwera an
homerosisave epoqaSi, anda _ mogvianebiT
(b) II abzacSi _ organizebuli sistema da poeturi formulebis kanonzomieri
gamoyeneba pasaJTa Soris mimarTebis xazgasasmelad mxolod werilobiTi gziT
Seqmnili eposisTvisaa niSandoblivi
(g) III abzacSi _ homerosis orive poema agebulia kompoziciuri organizaciis im
principTa Sesabamisad, romlebic geometriuli epoqis xelovnebisTvisaa
damaxasiaTebeli
(d) IV abzacSi _ homerosis eposSi teqstis organizebis ZiriTadi principebia
wriuli kompozicia da paraleluri dayofa, epizodTa Tavisufal mimdevrobas
ki sistemuri xasiaTi ar aqvs
epizodi I qebidan epizodi XXIV qebidan
a qrise midis agamemnonTan gamosasyidiT a1 priamosi midis aqilevsTan gamosasyidiT b agamemnoni ar iRebs gamosasyids b1
aqilevsi iRebs gamosasyids
c kamaTi aqilevssa da agamemnons Soris c1 saubari aqilevssa da priamoss Soris
d briseidas motaceba d1 briseidas dabruneba
21
maTematikuri nawili
testis maTematikur nawilze muSaobisas gaiTvaliswineT:
• naxazebi, romlebic erTvis zogierT davalebas, araa 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 L 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
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
51.
(a) (b) (g) (d)
52.
rombis perimetri tolia im tolferda samkuTxedis
perimetrisa, romlis ferdis sigrZe fuZis sigrZeze
naklebia.
(a) (b) (g) (d)
53. a = –1, b = 2. (a) (b) (g) (d)
54.
ricxvebis cifrul CanawerebSi zogierTi cifri
kvadratiTaa dafaruli (TiTo cifri _ TiTo
kvadratiT).
(a) (b) (g) (d)
55.
piramidis wiboebis raodenoba ar aRemateba 8-s.
(a) (b) (g) (d)
356
73 :
154
32 :
rombis gverdis sigrZe
tolferda samkuTxedis fuZis sigrZe
6a – 8 : b (6a – 8) : b
3906 7 – 3 8
am piramidis
waxnagebis raodenoba 5
23
56.
k naturaluri ricxvia.
(a) (b) (g) (d)
57.
toldanayofebian skalaze moniSnulia E, F da Dqveynebis mosaxleobaTa raodenobebis Sesabamisi
wertilebi. amasTan, E da D qveynebis mosaxleobaTa
raodenobebi (milionebSi) naxazzea miTiTebuli.
(a) (b) (g) (d)
58.
klebis mixedviT dalagebuli nebismieri eqvsi ricxvis
mediana mesame da meoTxe ricxvebis saSualo
ariTmetikulis tolia. mocemulia klebis mixedviT
dalagebuli eqvswevriani mimdevroba, romlis mesame
wevri 18-ze metia.
(a) (b) (g) (d)
amocanebi
59. 13,8 milionze 6-jer naklebia:
(a) 2 milion 100 aTasi (b) 2 milion 200 aTasi (g) 2 milion 300 aTasi (d) 2 milion 400 aTasi (e) 2 milion 800 aTasi
( )k21·8 22 +k
miRebuli mimdevrobis mediana 18
260 milioni F qveynis mosaxleobis raodenoba
24
60. oTxi ricxvidan pirveli 3-iT metia meoreze, magram 7-iT naklebia mesameze, xolo meoTxe ricxvi orjeraa naklebi meore da mesame ricxvebis jamze. ramdeniT
metia meoTxe ricxvi pirvelze? (a) 2-iT (b) 4-iT (g) 6-iT (d) 8-iT (e) 10-iT 61. erTnairi zomis kubebi ise daawyves, rom kibis formis sxeuli miiRes (ix. naxazi).
sul ramdeni kubi dauwyviaT? (a) 29 (b) 34 (g) 48 (d) 56 (e) 80
62. Tu ( ) ( )yy 37·56· 81
81 +−−=+− , maSin 2y =
(a) –8 (b) –6 (g) –5 (d) –4 (e) –2
monacemTa analizi
saTxilamuro trasaze misasvlelad sargebloben sabagiro gziT, romlis
muSaobis xangrZlivoba, Cveulebriv, amindzea damokidebuli. uamindobis
SemTxvevaSi sabagiro gza ar muSaobs. diagramaze texilebiT SemosazRvrulia
areebi, romlebic gviCvenebs, noembris romel dReebSi da romel saaTebSi
muSaobda sabagiro gza. magaliTad, diagramidan Cans, rom 1 noembers sabagiro gza muSaobda mxolod 12.00 sT-dan 14.00 sT-mde.
25
diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:
63. ramdeni saaTis ganmavlobaSi muSaobda sabagiro gza 18 noembers? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8
64. CamoTvlilTagan romel dRes ver visargeblebdiT sabagiro gziT 16.00 sT-ze? (a) 3 noembers (b) 8 noembers (g) 19 noembers (d) 26 noembers (e) 28 noembers
65. noemberSi sul ramdeni dRe iyo iseTi, roca sabagiro gza an ar muSaobda, an misi muSaobis xangrZlivoba ar aRemateboda 2 saaTs? (a) 2 (b) 4 (g) 6 (d) 8 (e) 10
66. sabagiro gziT erT saaTSi maqsimum 300 adamianis gadayvanaa SesaZlebeli. mgzavrobis safasuri 40 TeTria. maqsimum ramdeni lari SeiZleba iyos 14 noembers sabagiro gziT mgzavrebis gadayvaniT miRebuli Semosavali? (a) 300 (b) 340 (g) 400 (d) 480 (e) 520
26
amocanebi
67. momRerlebma gadawyvites saqvelmoqmedo koncerti aprilis meore SabaTs gaemarTaT.
romel aprils unda Catarebuliyo es
koncerti (naxazze mocemulia amave wlis
maisis kalendari)?
(a) 9 aprils (b) 10 aprils (g) 11 aprils (d) 12 aprils (e) 13 aprils
68. K wertili ABCD paralelogramis BC gverdze mdebare iseTi wertilia, rom AB monakveTi BK monakveTis tolia. °=∠ 100ABC , °=∠ 65ADK . risi tolia AKD∠ ? (a) 65° (b) 70° (g) 75° (d) 80° (e) 85°
69. b iseTi ricxvia, rom bb +<− 1232 . CamoTvlilTagan romlis toli
ar SeiZleba iyos 4+b ? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5
70. dito ricxvebis Casawerad erTeulebs aRniSnavda niSniT, xuTeulebs _
niSniT, xolo oceulebs _ niSniT. magaliTad, ricxvi 48 ditos aRniSvnebiT ase Caiwereba: . rogor Caiwereba ditos aRniSvnebiT
jamis gamoTvliT miRebuli ricxvi? (a)
(b)
(g)
(d)
(e)
m a i s i
orSabaTi 6 13 20 27 samSabaTi 7 14 21 28 oTxSabaTi 1 8 15 22 29 xuTSabaTi 2 9 16 23 30 paraskevi 3 10 17 24 31 SabaTi 4 11 18 25 kvira 5 12 19 26
27
71. klasSi 24 moswavlea. maTgan Zma hyavs 12 moswavles, dac da Zmac _ 5-s, xolo gia da nino dediserTebi arian. am klasis sul ramden moswavles hyavs da? (a) 7 (b) 12 (g) 15 (d) 17 (e) 19
72. marTkuTxa samkuTxedidan, romlis erTi kaTetis sigrZea 5 sm, meorisa _ 7 sm, amokveTilia kvadrati, romlis gverdis sigrZea 2 sm. ramdeni kvadratuli santimetria samkuTxedis darCenili nawilis farTobi?
(a) 13,5 (b) 20 (g) 27,5 (d) 31 (e) 32,5
73. wiTeli burTula 6-jer mZimea lurjze, magram 3-jer msubuqia mwvane
burTulaze; yviTeli burTula 3-jer mZimea TeTr burTulaze, magram 2-jer msubuqia mwvaneze. ramdenjer naklebia lurji burTulis wona TeTri burTulis
wonaze? (a) 9-jer (b) 6-jer (g) 5-jer (d) 4-jer (e) 3-jer
74. Tu a, b da c erTmaneTisagan gansxvavebuli, 15-ze naklebi naturaluri ricxvebia, maSin a : b – 3 · c gamosaxulebis udidesi mniSvnelobaa:
(a) 4 (b) 6 (g) 8 (d) 10 (e) 12
75. qvemoT mocemulTagan romeli xuTkuTxedis wveroebis koordinatebi SeiZleba iyos (–3; 2), (0; 1), (1; 3), (2; 0), (–2; –2)?
(a) (b) (g) (d) (e)
28
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
76.
12 fanqarsa da 9 kalamSi 15 lari gadaixades.
(a) (b) (g) (d)
77.
( )* -iT aRniSnulia frCxilebSi moTavsebuli ricxvebis namravlis mniSvneloba. magaliTad,
( ) 66·5,0·26;5,0;2 * == .
x, y da z _ dadebiTi ricxvebia.
(a) (b) (g) (d)
78.
ABCD kvadratis farTobia 28 sm2. M wertili CD
gverdis Suawertilia, xolo N wertili AB gverdze
mdebareobs, oRond A-sTan ufro axlos, vidre _ B-sTan.
(a) (b) (g) (d)
79.
vaJas xelfasi 20 %-iT momatebis Sedegad a lariT gaizarda, xolo sandros xelfasi 25 %-iT daklebis
Sedegad 2a lariT Semcirda.
(a) (b) (g) (d)
25 lari 20 fanqrisa da 15 kalmis Rirebuleba
( ) ( )** ;·; zyyx ( )*;; zyx
5 sm2AMN samkuTxedis farTobi
vaJas xelfasi
momatebamde
sandros xelfasi
Semcirebamde
29
80.
auzSi 3 erTnairi miliT 15 wuTSi 4 tona wyali
Caedineba.
(a) (b) (g) (d)
81.
nesvi 3 kg-ze naklebs iwonis. am nesvisa da sazamTros wonaTa saSualo ariTmetikuli ki 7 kg-ze metia.
(a) (b) (g) (d)
82.
wrewiri, romlis radiusis sigrZea r, masze mdebare E da F wertilebiT dayofilia or rkalad, romelTagan
umciresis sigrZea 0,9r. OE da OF radiusebiT Sedgenili kuTxis sidide β-s tolia.
(a) (b) (g) (d)
amocanebi
83. cifrebiT: 2, 3 da 5 Caweres 3-ze meti da 5-ze naklebi yvela SesaZlo aTwiladi ise, rom yoveli aTwiladis Cawerisas gamoiyenes samive cifri,
TiToeuli _ mxolod erTxel. miRebuli aTwiladebidan udidesisa da umciresis
jami tolia:
(a) 5,87-is (b) 6,50-is (g) 6,77-is (d) 7,67-is (e) 8,84-is
3 tona wylis wona, romelic
auzSi 2 aseTive miliT 20 wuTSi Caedineba
10 kg sazamTros wona
60°β
30
84. Tu k ricxvis 30% orjer naklebia n-ze, maSin =nk
(a) 321
(b) 0,15 (g)
311
(d) 8 (e)
212
85. ana maisurisa da Sarvlis Cacmas apirebs. mas aqvs wiTeli, TeTri da lurji maisurebi da amave ferebis sami Sarvali. ana arasodes icvams erTi da imave
feris samoss erTad. maisurisa da Sarvlis Sexamebis ramdeni SesaZlo varianti
aqvs anas? (a) 5 (b) 6 (g) 7 (d) 8 (e) 9
86. zuTxis wona 5 kilogramiT aRemateba oragulis wonas. oragulis wona zuTxis wonis 5
3 nawilis tolia. ras udris zuTxis wona?
(a) 8 kg (b) 9,5 kg (g) 10 kg (d) 12,5 kg (e) 15 kg
monacemTa analizi
wriul diagramaze mocemulia, 2004 wels erT-erT
qveyanaSi importirebuli tvirTis saerTo wonis
ramdeni procenti iqna gadaziduli rkinigziT,
avtotransportiT, sazRvao Tu sahaero transportiT.
cxrilSi ki mocemulia, 2003 da 2004 wlebSi am qveyanaSi importirebuli tvirTidan ramdeni milioni
tona iqna gadaziduli rkinigziT da
avtotransportiT da ra saxis iyo es tvirTi (sakvebi
produqtebi, samrewvelo saqoneli Tu sxva).
sakvebi produqtebi samrewvelo saqoneli sxva saqoneli
rkinigza avtotransporti rkinigza avtotransporti rkinigza avtotransporti
2003 w. 30 2,7 31 12 28 3,3 2004 w. 25 12,8 30 9 17 8,2
31
diagramisa da cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:
87. ramdenjer naklebi iyo 2004 wels avtotransportiT gadaziduli tvirTis wona sazRvao transportiT gadaziduli tvirTis wonaze? (a) 1,2-jer (b) 1,3-jer (g) 1,4-jer (d) 1,5-jer (e) 1,6-jer
88. sul ramdeni milioni tona tvirTi iqna gadaziduli rkinigziT 2003 wels? (a) 59 (b) 61 (g) 76 (d) 82 (e) 89
89. ramdeni procentiT naklebi iyo 2004 wels avtotransportiT gadaziduli samrewvelo saqonlis wona 2003 welTan SedarebiT? (a) 5%-iT
(b) 10%-iT
(g) 15%-iT
(d) 20%-iT
(e) 25%-iT
90. ramdeni milioni tona tvirTi gadauzidavT sahaero transportiT 2004 wels? (a) 10 (b) 12 (g) 14 (d) 16 (e) 18
32
amocanebi
91. iseTi ukveci wiladebidan, romelTa mniSvneli 20-is tolia, ramdenia 51-ze
meti, magram 21-ze naklebi?
(a) 1 (b) 2 (g) 3 (d) 4 (e) 5
92. 1 kg makulaturisgan SeiZleba damzaddes 25-30 cali Txeli rveuli an 10-15 cali sqeli rveuli. bavSvebma Seagroves makulatura, romlisganac SesaZlebelia
damzaddes minimum 40 cali sqeli rveuli. maqsimum ramdeni Txeli rveuli
SeiZleba damzaddes bavSvebis mier Segrovili makulaturisgan? (a) 60 (b) 80 (g) 100 (d) 120 (e) 150 93. ABC samkuTxedis samive wvero im badis kvanZebs emTxveva, romlis TiToeuli ujredi kvadratia
(ix. naxazi). ramdenjer metia am samkuTxedis
AC gverdis sigrZe BC gverdis sigrZeze? (a) 1,2-jer (b) 1,4-jer (g) 1,5-jer (d) 1,6-jer (e) 1,8-jer
94. nikam 100 litri RviniT 5-litriani, 10-litriani da 30-litriani bocebi gaavso, sul _ 7 boca. ramdeni 10-litriani boca gauvsia mas? (a) 2 (b) 3 (g) 4 (d) 5 (e) 6
33
95. zRvis wyals Seuries sufTa wyali, romlis wona orjer naklebi iyo zRvis wylis wonaze. miRebul xsnarSi marilis wona xsnaris wonis 2% aRmoCnda. zRvis wylis wonis ramdeni procenti yofila marilis wona? (a) 2% (b) 3% (g) 4% (d) 5% (e) 6%
96. qaRaldis 3 furclidan TiToeuli daWres 5 nawilad. Semdeg miRebuli
naWrebidan erT-erTi kvlav 5 nawilad daWres da ase gaimeores ramdenjerme.
CamoTvlilTagan romlis toli SeiZleba iyos miRebuli naWrebis saerTo
raodenoba? (a) 34 (b) 36 (g) 39 (d) 41 (e) 44
97. sibrtyeze mocemulia sami wrewiri, romelTa radiusebis sigrZea 5 sm. am
wrewirTa centrebs Soris manZilebia 10 sm, 10 sm da 8 sm. sul ramdenia iseTi wertili, romelic am wrewirTagan romelime oris saerTo wertilia? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5
34
98. qalaqidan sofelSi avtobusi 5 saaTSi Cavida, xolo msubuqi avtomanqana imave gziT _ 3 saaTSi. rogorc avtobusi, aseve, msubuqi avtomanqana, Tanabari siCqariT, Seferxebebis gareSe moZraobda. ramdenjer aRemateba avtobusis mier
2 saaTSi gavlili manZili msubuqi avtomanqanis mier 1 sT-Si gavlil manZils? (a) 1,2-jer (b) 1,4-jer (g) 1,8-jer (d) 2-jer (e) 2,4-jer
99. mravalkuTxedis ori mezobeli wverodan gavlebulia yvela diagonali. maTi raodenoba 10-is tolia. ramdeni wvero aqvs am mravalkuTxeds? (a) 6 (b) 7 (g) 8 (d) 9 (e) 10
100. p da q iseTi naturaluri ricxvebia, rom qp > da 34=+ qp .
maqsimum risi toli SeiZleba iyos p-s q-ze gayofisas miRebuli naSTi? (a) 7 (b) 8 (g) 9 (d) 10 (e) 11