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zogadi unarebis testizogadi unarebis testi
20102010instruqcia
testi Sedgeba ori _ verbaluri da maTematikuri _ nawilisgan.TiToeuli nawili 40 davalebas Seicavs. yovel davalebas axlavs oTxi an
xuTi savaraudo pasuxi, romelTagan mxolod erTia swori.
yuradRebiT waikiTxeT davalebaTa instruqciebi, kargad gaiazreT, ra mogeTxovebaT TiToeul davalebaSi, da Semdeg airCieT pasuxi.
arCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavs tests (Sesabamisi instruqcia ixileT pasuxebis furcelze). testis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebis testirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclis safuZvelze.
testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.drois amowurvis Sesaxeb gacnobebT meTvalyure.
Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze, Tqveni naSromi ar Semowmdeba.
Tu ar gaqvT romelime davalebis pasuxi, dros nu dakargavT da gadadiT Semdeg davalebaze.
Canawerebis an naxazebisTvis gamoiyeneT mxolod da mxolod testis furclebze arsebuli carieli adgilebi.
gisurvebT warmatebas !
II
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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
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
1. TamaSi : moTamaSe (a) omi : meomari
(b) ojaxi : meojaxe
(g) xanZari : mexanZre
(d) manqana : memanqane
2. mze : nisli (a) qari : namqeri
(b) Tovli : Wyapi
(g) wvima : mtveri
(d) yinuli : zvavi
3. hegemonia : wonasworoba (a) konfliqti : anarqia
(b) okupacia : suvereniteti
(g) krizisi : destabilizacia
(d) integracia : globalizacia
4. deteqtiuri nawarmoebi : danaSauli (a) simpoziumi : moxseneba
(b) konsiliumi : daavadeba
(g) olimpiada : Sejibri
(d) arbitraJi : sanqcia
5. guTani : nadimi (a) salamuri : ialaRi
(b) kverTxi : sasaxle
(g) mikroskopi : eqsperimenti
(d) palitra : gamofena
6. winapiroba : sawindari (a) Sedegi : produqti
(b) Sefaseba : kriteriumi
(g) mizani : strategia
(d) daskvna : analizi
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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. sakuTari Sexedulebis Secvla da axali ideis gaziareba, romelic _____
gzaze gayenebs, _____ Sens Tavisuflebas, _____ es aris moqmedeba, warmarTuli
Seni gonebis da Senive nebis _____ .
(a) WeSmarit / arafriT emuqreba / Tumca, / Tanaxmad
(b) mcdar / aucileblad zRudavs / Tumca, / winaaRmdeg
(g) mcdar / arafriT emuqreba / radgan / winaaRmdeg
(d) WeSmarit / odnavadac ar zRudavs / radgan / Tanaxmad
8. erTmaneTis Sesaxeb Cveni codna _____ urTierTobisTvis. _____ gmirTa
Sinagani samyaro mkiTxvelisTvis _____ . ai, ratom aris, rom _____ warmodgena
gvaqvs, vidre _____ .
(a) mxolod miaxloebiTia, Tumca, es sakmarisia / literaturaSi ki, Tu avtors
surs, / SeiZleba sruliad gamWvirvale iyos / literaturul personaJebze
xSirad ufro naTeli / realur adamianebze, maT Soris axloblebzec
(b) mxolod miaxloebiTia, Tumca, es sakmarisia / aseve, literaturaSi avtori
zogjer ver axerxebs, rom / savsebiT gamWvirvale iyos / literaturul
personaJebze ufro bundovani / realur adamianebze, maT Soris axloblebzec
(g) zedmiwevniT sruli unda iyos. es aucilebelia / literaturaSi ki, Tu
avtors surs, / SeiZleba savsebiT gamWvirvale iyos / realur adamianebze, maT
Soris axloblebzec, xSirad ufro bundovani / literaturul personaJebze
(d) zedmiwevniT sruli unda iyos. es aucilebelia / aseve, literaturaSi
avtori yvelafers akeTebs, rom / bundovani ar iyos / realur adamianebze,
maT Soris axloblebzec, xSirad ufro naTeli / literaturul personaJebze
9. arqauli epoqis elini iyo _____ adamiani, romlis moTxovnilebas _____
warmoadgenda, _____ aRiareba, romelTa _____ .
(a) uiniciativo, morCili / reformistuli ideebis erTguleba ki ar / aramed
iseT WeSmaritebaTa / keTilmyofelobaSi daarwmunebda sakuTar xelisuflebas
(b) uiniciativo, morCili / reformistuli ideebis erTguleba / da ara _ iseTi
dogmebis / keTilmyofelobas Tavad irwmunebda gonebis TvaliT
(g) maZiebeli, analitikosi / tradiciul dogmaTa erTguleba ki ar / aramed iseT
WeSmaritebaTa / keTilmyofelobas Tavad irwmunebda gonebis TvaliT
(d) maZiebeli, analitikosi / tradiciul dogmaTa erTguleba / da ara _ iseTi
ideebis / keTilmyofelobaSi daarwmunebda sakuTar xelisuflebas
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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.
10. mocemulia:
• yvela wiwvovani xe maradmwvanea
• am tyeSi yvela xe wiwvovania
davuSvaT, rom es debulebebi WeSmaritia. romeli daskvna gamomdinareobs maTgan?
(a) yvela maradmwvane xe wiwvovania
(b) yvela maradmwvane xe am tyeSi izrdeba
(g) mxolod wiwvovani xeebia maradmwvane
(d) am tyeSi yvela xe maradmwvanea
11. mocemulia: • mecnierebi odesme aucileblad aRmoaCenen axal galaqtikas
Semdegi winadadebebidan romelia mocemulis tolfasi?
(a) SeuZlebelia, mecnierebma odesme aRmoaCinon axali galaqtika
(b) SesaZlebelia, mecnierebma odesme aRmoaCinon axali galaqtika
(g) SesaZlebelia, mecnierebma verasodes aRmoaCinon axali galaqtika
(d) SeuZlebelia, mecnierebma verasodes aRmoaCinon axali galaqtika
12. mocemulia:
• Tu A-s monaTxrobi marTali ar aris, maSin sagzao moZraobis wesi C-s daurRvevia
• Tu A yvelafers zustad mogviTxrobs, maSin B-s Cveneba ar Seesabameba sinamdviles
qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am wanamZRvrebidan?
(a) sagzao moZraobis wesi daarRvia C-m (b) C-s sagzao moZraobis wesi ar daurRvevia (g) sagzao moZraobis wesi daarRvia C-m, Tuki B-s Cveneba Seesabameba sinamdviles (d) zemoT mocemuli pasuxebidan arc erTi ar aris swori
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13. myvinTavebma xmelTaSua zRvis sanapirosTan aRmoaCines gamoqvabuli, romelSic Sesvla mxolod zRvidan, wyalqveSa gvirabiT SeiZleba. gamoqvabuli wyliT aris
savse da masSi bevri stalagmitia. stalagmitebi mineralebis svetebia, romelTa
warmoSobis meqanizmi aseTia: Tu gamoqvabulis fskerze erTsa da imave adgilze
didi xnis ganmavlobaSi ecema wylis wveTebi, am adgilas nel-nela ileqeba wyalSi
arsebuli mineralebi da, sabolood, ase daleqili Sreebi svetebs warmoqmnis.
gamoqvabulSi stalagmitebis arsebobis safuZvelze mecnierebma ivaraudes, rom
xmelTaSua zRvis done odesRac axlandelze ufro dabali iyo.
qvemoT CamoTvlilTagan romeli viTareba ayenebs eWvqveS am varauds?
(a) im periodSi, rodesac gamoqvabulSi stalagmitebi yalibdeboda, gamoqvabuls
xmelTaSua zRvasTan ramdenime miwisqveSa gvirabi akavSirebda
(b) gamoqvabulis xmelTaSua zRvasTan damakavSirebeli gvirabi mxolod mogvianebiT
gaCnda, manamde ki gamoqvabuli zRvisgan izolirebuli iyo
(g) gamoqvabulSi arsebuli stalagmitebis mineraluri Semadgenloba xmelTaSua
zRvis wylis mineraluri Semadgenlobis msgavsia
(d) xmelTaSua zRvis wyalSi mineralebis koncentracia axla gacilebiT naklebia,
vidre im dros, roca gamoqvabulSi stalagmitebi yalibdeboda
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
cnobilma mogzaurma, karsten niburma, lursmuli teqstebis uamravi asli
Camoitana evropaSi sparseTis Zveli dedaqalaqis, persepolisis, nangrevebidan. es
nangrevebi sparselTa Zveli mefeebis grandiozuli sasaxlis naSTebi aRmoCnda. Tixis
firfitebze Sesrulebuli warwerebi sakmaod gansxvavdeboda erTmaneTisgan. zogierTze
garkveviT Canda sami sxvadasxvagvari damwerloba. cnobilia, rom Zv. w. 540 wels
sparselTa mefem kirosma sastikad daamarcxa babilonelebi, daipyro maTi qveyana da
daaarsa pirveli didi sparsuli samefo. amitom safiqrebeli iyo, rom persepolisis
warwerebSi erT-erTi mainc gamarjvebulTa enaze iqneboda Sesrulebuli.
Zvelsparsuli teqsti Sua svetSi unda yofiliyo. garda amisa, teqstebSi
gansakuTrebiT xSirad meordeboda niSanTa erTi jgufi da erTi iribi niSani.
germanelma mecnierma grotefendma, romelsac persepolisis warwerebis
ramdenime aslis garda araferi gaaCnda, sanaZleo dado, rom lursmul teqstebs
waikiTxavda. grotefendma ar icoda arc erTi im enaTagan, romlebzec
Sesrulebuli iyo warwerebi. mas SeeZlo mxolod zustad aewera da Seeswavla
isini. miuxedavad imisa, rom lursmuli (soliseburi) niSnebi sxvadasxva mxaresaa
mimarTuli, grotefendma daadgina, rom niSanTa ZiriTadi mimarTuleba mainc
oria: zemodan qvemoT da marcxnidan marjvniv. amis safuZvelze man daaskvna, rom
lursmuli warwerebi marcxnidan marjvniv ikiTxeba.
jer kidev grotefendamde gamoTqmuli iyo varaudi, rom niSnebis erTi
jgufi, romelic yvelaze ufro xSirad meordeboda lursmul teqstebSi, `mefes~
aRniSnavda, iribi niSani ki sityvaTa gamyofi iyo. grotefendis azriT, Tu
warweraSi gvxvdeba niSanTa jgufi `mefe~, maSin misi wina sityva (anu niSanTa
wina jgufi) mefis saxeli unda iyos. grotefendma yuradReba miaqcia imas, rom
TiTqmis yvela firfitaze iyo niSanTa aseTi jgufis, anu saxelis mxolod ori
varianti (pirobiTad, X da Y). grotefendis azriT, es imas niSnavda, rom
warwerebi mxolod or mefes exeboda. amasTan, man aRmoaCina warwerebi,
romlebSic orive varianti erTdroulad iyo gamosaxuli. SesaZloa, laparaki
yofiliyo mamasa da Svilze. garda amisa, erT firfitaze, romelzec es saxelebi
iyo gamosaxuli, grotefendma gamoyo niSanTa mesame jgufi, savaraudod, isev
saxeli, romelsac ar mosdevda niSanTa jgufi `mefe~. pirobiTad, es amgvarad
SeiZleba gamoisaxos:
Y mefe, Ze X mefisa; X mefe, Ze Z-isa. grotefendma yuradReba miaqcia imas, rom Z-s ar mosdevda sityva, romlis
mniSvneloba unda yofiliyo `mefe~. amrigad, Tu misi hipoTeza swori iyo, maSin
warweraze gvaqvs aseTi rigi: Svili _ mama _ papa. amasTan, mama da Svili mefeebi
iyvnen, papa ki mefe ar yofila. grotefendma daiwyo sparsel mefeTa genealogiis
Seswavla. man gamoricxa mefeebi kirosi da kambizi, radgan warweraSi moxsenebul
mefeTa saxelebis grafikuli gamosaxulebebi sxvadasxva niSniT iwyeboda. ar iyo
safiqrebeli, agreTve, kirosi da artaqserqse, radgan pirveli saxeli metismetad
moklea, meore ki _ grZeli. rCeboda mxolod dariosi da qserqse, romlebic
mefeebi iyvnen, qserqses mama hisTaspi ki mefe ar yofila. grotefendma berZnul
wyaroebSi (herodotesTan) moxsenebul sparsel mefeTa saxelebs Seusabama maTi
sparsuli formebi. amiT mkvlevarma daazusta am saxelebSi Semavali yvela niSani,
waikiTxa mefeTa saxelebi, titulebi da daadgina is ena, romelzec Sedgenili iyo
warwera.
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14. qvemoT CamoTvlilTagan romelSia srulad warmodgenili persepolisis
warwerebis Seswavlis sawyis etapze miRweuli Sedegebi? (upasuxeT I abzacis
mixedviT)
(a) lursmuli warwerebi, ZiriTadad, Tixis firfitebzea Sesrulebuli;
lursmuli teqstebi Sedgenilia sxvadasxva enaze; ramdenjerme meordeba niSanTa
erTi jgufi
(b) lursmul warwerebSi niSnebi sakmaod gansxvavdeba erTmaneTisgan; Sua svetis
warwera Zvelsparsul enaze unda yofiliyo Sedgenili; xSirad meordeba iribi
niSnebi
(g) lursmul warwerebSi Cans sami sxvadasxvagvari damwerloba; warweraTa
centralur nawilSi teqsti Zvelsparsul enaze unda yofiliyo Sedgenili;
garkveuli sistemurobaa niSnebTan dakavSirebiT
(d) Tixis firfitebi persepolisis nangrevebidanaa; warwerebis ena Zvelsparsuli
unda iyos; xSirad meordeba niSanTa erTi jgufi da iribi niSnebi
15. rogor daadgina grotefendma, rom lursmuli warwerebi marcxnidan marjvniv ikiTxeba?
(a) man Seiswavla persepolisis warwerebi da, radgan centrSi sparsuli teqsti
iyo, ivarauda, rom persepolisis sxva warwerebic marcxnidan marjvniv
ikiTxeboda
(b) yvela lursmuli niSani marcxnidan marjvniv iyo mimarTuli da, Sesabamisad,
teqstis wakiTxvac am mimarTulebiT iyo savaraudebeli
(g) persepolisis warwerebSi iribi niSnebi daxrili iyo marcxnidan marjvniv,
Sesabamisad, isini unda yofiliyo miCneuli orientirebad warweris
mimarTulebis dadgenis procesSi
(d) lursmuli niSnebi sxvadasxva mxares iyo mimarTuli, Tumca, niSanTa
mimarTuleba, ZiriTadad, zemodan qvemoT an marcxnidan marjvniv iyo
16. ra roli Seasrula saxelis aRmniSvneli niSnebis jgufis ori variantis
gamoyofam lursmuli warwerebis gaSifvris procesSi?
(a) Tu teqstSi saxelis aRmniSvneli niSnebis jgufis ori gansxvavebuli varianti
aSkarad Canda, es imis mimaniSnebeli iyo, rom sasaxle, romlis nangrevebSic
ipoves es firfitebi, ekuTvnoda or mefes _ mamasa da Svils
(b) Tu teqstSi xSirad gameorebuli jgufi aRniSnavda `mefes~, am niSanTa wina
jgufi unda yofiliyo mefis saxeli, erT warweraSi misi ori variantis
arseboba ki mianiSnebda raime niSniT dakavSirebul or mefeze
(g) Tu sasaxlis nangrevebSi aRmoCenil firfitebze ori mefis saxelis garCeva
SeiZleboda, warwerebis gasaSifrad sakmarisi iyo am sasaxlis mkvidr mefeTa
saxelebTan maTi misadageba
(d) Tu didi sparsuli saxelmwifos damaarsebelTa titulebi daemTxveoda
lursmul warwerebSi mikvleul mefeTa titulebs, es iqneboda gardatexa
lursmuli teqstebis gaSifvris saqmeSi
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17. ratom Seiswavla grotefendma sparsel mefeTa genealogia?
(a) unda daedgina samefo sagvareulodan sami piris saxeli, romelTagan ors, mama-
Svils, samefo tituli hqonda, maTi ojaxis ufrosi Taobis warmomadgenels ki
_ ara
(b) unda daezustebina samefo ojaxis ori warmomadgenlis saxeli, romelTagan
orives mefis tituli hqonda da romlebic erT epoqaSi mefobdnen
persepolisSi
(g) unda daezustebina sami mefis saxeli da daedgina is ena, romelzec Sedgenili
iyo am mefeTa mmarTvelobis dros Sesrulebul warweraTa umravlesoba
(d) unda daedgina ori mefisa da samefo ojaxis erTi warmomadgenlis saxelebi,
raTa daemtkicebina, rom herodotes cnobebi swored am sagvareulos exeboda
18. teqstSi warmodgenilia gasaSifri warweris sqema: Y mefe, Ze X mefisa; X mefe, Ze Z-isa
ra funqcia aqvs warweris amgvar gamosaxvas?
(a) ufro mkafiod Cans, rom sityva `mefe~ samjer meordeba, X, Y da Z ki Zveli sparseTis sami sxvadasxva mefis saxels aRniSnavs
(b) iqmneba warweris erTgvari vizualuri xati, riTac ufro iolad aRsaqmeli
xdeba am sityvaTa mniSvnelobebs Soris arsebuli mimarTeba
(g) X, Y da Z simboloebi naTels xdis warweris Sinaarss, radgan simbolos zogadi Tviseba niSnisa da aRsaniSnis erTianobaa
(d) warweris am formiT warmodgena lursmuli damwerlobis zogad
kanonzomierebas avlens, rac xels uwyobs misi Sinaarsis adekvaturad
interpretirebas
19. qvemoT CamoTvlilTagan romeli ar aRmoCnda gadamwyveti lursmuli
damwerlobis gaSifvris procesSi?
(a) warweris enis codna
(b) niSanTa erTi jgufis xSirad gameoreba
(g) Z-is Semdeg niSanTa xSirad gameorebuli jgufis ararseboba (d) sparseTis mefeTa berZnuli saxelebis sparsuli ekvivalentebi
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20. cnobilia, rom egvipturi ieroglifebi frangma mecnierma Sampolionma
gaSifra. mas hqonda samenovani warwera, amasTan, gasaSifri teqstis paraleluri
berZnuli Targmani. Sampolionma berZnuli enac icoda da kopturic (egvipturi
enis ganviTarebis bolo safexuri), magram misTvis ucnobi iyo, ieroglifebi
sityvebs aRniSnavda, cnebebs, marcvlebs Tu asoebs.
savaraudod, ra upiratesoba hqonda grotefends SampolionTan SedarebiT?
(a) grotefendma icoda, sad aRmoaCines lursmuli warwerebi, romel mefeebs
ekuTvnoda gasaSifri teqsti da advilad amoikiTxa maTi saxelebi
(b) grotefendamde mecnierebma SeniSnes, rom lursmul teqstebSi xSirad
gameorebuli niSanTa jgufi iyo sityva da aRniSnavda erT-erTi mefis saxels
(g) grotefendma Seiswavla sparsel mefeTa genealogia da ipova is saxelebi,
romlebic firfitaze ewera, Sampolions ki egviptel faraonTa genealogia ar
hqonda
(d) grotefendamde arsebobda varaudi, rom xSirad gameorebuli iribi niSani
sityvaTa gamyofi iyo, es ki sistemis specifikaze mianiSnebda _ niSnebi asoebs
aRniSnavda
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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 msgavsi (analogiuri) iyos.
21. scenaristi : mayurebeli arqiteqtori :
(a) mobinadre
(b) inJineri
(g) mSenebeli
(d) konstruqtori
22. nebarTva : aTavisuflebs xelSekruleba :
(a) aRkveTs
(b) azustebs
(g) adasturebs
(d) avaldebulebs
23. biliki : gzatkecili kapilari :
(a) nervi
(b) myesi
(g) arteria
(d) sisxlZarRvi
24. vefxvi : pantera ia :
(a) buCqi
(b) bolqvi
(g) vardi
(d) yoCivarda
25. alergia : reaqcia imuniteti :
(a) gankurneba
(b) aRdgena
(g) Seuvaloba
(d) janmrTeloba
26. artileristi : kavaleristi freska :
(a) ornamenti
(b) bareliefi
(g) palitra
(d) ferwera
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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.
27. Sexeduleba, romlis Tanaxmad nebismieri socialuri SezRudva ______ ,
adamianis utopiur da ararealistur gagebas emyareba. ______ , rom socialuri
institutebi ______ .
(a) borotebaa / Tumca, meore mxriv, isic aSkaraa / zogierT SemTxvevaSi individs
zedmetad mkacr SezRudvebs uwesebs
(b) sasikeToa / Sesabamisad, arc isaa swori / xandaxan mainc uwesebs individs
zedmetad mkacr SezRudvebs
(g) sasikeToa / Tumca, meore mxriv, isic aSkaraa / bevr SemTxvevaSi individs
zedmetad mkacr SezRudvebs uwesebs
(d) borotebaa / Sesabamisad, arc isaa swori / TiTqmis arasodes uwesebs
individs zedmetad mkacr SezRudvebs
28. uiliam terneri xSirad xatavda nislian londons, nawvimar quCebs. oskar uaildi amtkicebda, rom londonis _____ . am _____ gamosWvivis xelovnebis
qmediTobis idea. _____ , is _____ .
(a) nislma Seqmna terneris ferwera / SefasebaSi / xelovnebis qmediTobas
ganapirobebs samyaros mravalferovneba / ver qmnis samyaros xedvis wess
(b) nisli terneris ferweram Seqmna / paradoqsul mtkicebaSi / xelovneba
ayalibebs samyaros xedvis wess / qmnis Tvals, romelic aRiqvams silamazes,
yurs, romelic swvdeba bgeraTa harmonias
(g) nislma Seqmna terneris ferwera / SefasebaSi / xelovneba ayalibebs samyaros
xedvis wess / srulyofilad ver asaxavs samyaros feradovnebas
(d) nisli terneris ferweram Seqmna / paradoqsul mtkicebaSi / xelovnebis
qmediTobas ganapirobebs samyaros mravalferovneba / qmnis Tvals, romelic
aRiqvams silamazes, yurs, romelic swvdeba bgeraTa harmonias
12
29. marTalia, raindobis praqtika Tavis Teoriul standarts ufro metadac ki ______ , vidre Cveulebriv ______ , is mainc rCeba zneobis istoriis erT-erT
uZvirfases Zeglad. es aris SesaniSnavi magaliTi ______ sazogadoebis
organizebuli mcdelobisa, praqtikaSi daenerga zneobrivi ideali, ______ mis
socialur mdgomareobasa da institutebs.
(a) Camouvardeboda / Camouvardeba praqtika Teorias / araorganizebuli da
daqsaqsuli / bevrad rom uswrebda win
(b) Seesabameboda / Seesabameba praqtika Teorias / mowesrigebuli / bevrad rom
uswrebda win
(g) Seesabameboda / Seesabameba praqtika Teorias / araorganizebuli da
daqsaqsuli / bevrad rom CamorCeboda
(d) Camouvardeboda / Camouvardeba praqtika Teorias / mowesrigebuli / bevrad
rom CamorCeboda
30. miTis ZiriTadi struqtura sxvadasxva civilizaciis xalxebTan _____ ,
radgan miTi Tavisufali _____ _ igi _____ . amitom miTosis mkvlevarTaTvis
_____ .
(a) xSirad msgavsia, zogjer identuric / gamonagoni ar aris / dawuruli
formiT mocemuli msoflios suraTia / siuJeturi sqemis identuroba
advilad asaxsnelia
(b) yovelTvis sxvadasxvagvaria / gamonagoni ar aris / msoflios
mravalferovnebis ilustrirebas warmoadgens / siuJeturi sqemis identuroba
advilad asaxsnelia
(g) xSirad msgavsia, zogjer identuric / gamonagonia / dawuruli formiT
mocemuli msoflios suraTia / siuJetTa nairgvaroba Znelad asaxsneli araa
(d) yovelTvis sxvadasxvagvaria / gamonagonia / msoflios mravalferovnebis
ilustrirebas warmoadgens / siuJetTa nairgvaroba Znelad asaxsnelia
13
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. magidaze erT rigad awyvia xuTi firfita. iqvea saRebavebi da funjebi.
sandrom TiToeul firfitas unda gaukeTos erTi zoli _ wiTeli an lurji,
Tanac ise, rom Sesruldes Semdegi ori piroba:
• wiTelzoliani firfitebi lurjzolian firfitebze meti iyos
• erTmaneTis miyolebiT mdebare sami firfitidan erTi mainc iyos lurjzoliani
sandros amis gakeTeba bevrnairad SeuZlia. qvemoT CamoTvlilTagan romeli
viTareba ganxorcieldeba yvela SemTxvevaSi?
(a) meore firfitas aqvs wiTeli zoli
(b) mesame an meoTxe firfitas (an orives) aqvs wiTeli zoli
(g) pirvel an mexuTe firfitas (an orives) aqvs wiTeli zoli
(d) meoTxe firfitas aqvs lurji zoli
32. mocemulia: • xoxobi ar miekuTvneba beRurasebrTa ojaxs
• am tyeSi beRurasebrTa bevri sxvadasxva saxeobaa gavrcelebuli
maSasadame, am tyeSi xoxbebi ar budoben.
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
14
33. evropis erT-erT did qalaqSi Catarebuli gamokvlevis Sedegad gairkva, rom bolo aTi wlis ganmavlobaSi qalaqis centraluri raionebis sajaro skolebSi
swavlebis xarisxi gauaresda. eqspertTa mosazrebiT, amis mizezi gareubnebTan
satransporto kavSiris gaumjobesebaa, ramac centrSi dasaqmebul saSualo fenas
SesaZlebloba misca, ufro prestiJul gareubnebSi gadasuliyo sacxovreblad,
centrSi ki koncentrirebuli aRmoCnda yvelaze dabali socialuri fena,
romelsac naklebad aqvs sakuTari interesebis dasacavad saWiro politikuri
Zala.
ras emyareba eqspertTa mosazreba?
(a) didi qalaqis centrsa da gareubnebs Soris iafi da swrafi satransporto
kavSiri yovelTvis iwvevs centraluri ubnebis ganaTlebis sistemis kriziss
(b) ama Tu im ubnis mosaxleobis politikuri Zala gansazRvravs, ramdenad maRali
xarisxisaa aq socialuri samsaxurebi, maT Soris, ganaTlebis sistema
(g) centrSi cxovreba axali satransporto kavSiris damyarebamdec naklebad
prestiJuli iyo, magram aq arsebul skolebSi swavlebis xarisxis gauareseba
kidev ufro araprestiJuls gaxdis centralur ubnebs
(d) saSualo fenis gareubnebSi gadasaxleba imitom aisaxa uaryofiTad
centralur ubnebSi swavlebis xarisxze, rom gareubnebSi sacxovreblad
gadavidnen skolis maswavleblebic, romlebic saSualo fenas miekuTvnebian
34. sofom da Teonam axalgazrda pianistis sakoncerto programa waikiTxes. programis SinaarsiT giorgic dainteresda.
sofo: Tu pianisti Seasrulebs baxis fugas, maSin is ar Seasrulebs
mocartis sonatas. Teona: Tu pianisti Seasrulebs baxis fugas, maSin is Seasrulebs mocartis
sonatasac.
qvemoT CamoTvlilTagan romeli gamomdinareobs gogonebis saubridan, Tu
cnobilia, rom orive gogonam simarTle Tqva?
(a) pianisti ar Seasrulebs mocartis sonatas
(b) pianisti ar Seasrulebs baxis fugas (g) pianisti Seasrulebs baxis fugasac da mocartis sonatasac (d) zemoT mocemuli pasuxebidan arc erTi ar aris swori
15
wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
patara qveynebis sagareo politikis Taviseburebebis Seswavlisas
sayuradReboa zogierTi xerxi Tu meTodi, romelsac isini sakuTari
usafrTxoebis uzrunvelsayofad iyeneben. am mxriv sainteresoa patara qveynebis
specifikuri statusis _ neitralitetis _ ganxilva. termini neitraliteti
aRniSnavs saxelmwifoTa Soris urTierTobis formas, agreTve, im saxelmwifos
samarTlebriv statuss, romelic sxva saxelmwifoTa Soris mimdinare saomar
moqmedebebSi ar monawileobs. qveyana kargavs neitraluris statuss, roca saomar
moqmedebaSi Caebmeba, magram ara im SemTxvevaSi, Tu igi agresorisgan icavs Tavs.
neitraliteti mxolod erTi qveynis arCevani ki ar aris, aramed msoflio
politikis mniSvnelovani `moTamaSeebis~ urTierTSeTanxmebis produqtia. es imas
gulisxmobs, rom erTi qveynis survili, iyos neitraluri, unda emTxveodes sxva,
didi da Zlieri qveynebis survils, ixilon amgvari qveyana msoflio rukaze.
ganasxvaveben neitralitetis or formas: mudmivs, anu legalurs _
saerTaSoriso xelSekrulebis safuZvelze gaformebuls, da tradiciuls,
romelic samarTlebrivad ar aris gaformebuli, magram garkveuli saxelmwifos
sagareo politikis principadaa qceuli.
legaluri neitralitetis statusi amJamad mxolod sam saxelmwifos _ Sveicarias,
avstrias da TurqmeneTs _ aqvs miniWebuli. neitralurad gamocxadebul saxelmwifos
ufleba ar aqvs, sakuTari surviliT uaryos Tavisi statusi. is valdebulia,
yvelaferi iRonos, raTa ar iqnes CaTreuli SeiaraRebul konfliqtSi da Tavi
aaridos nebismier qmedebas, romelsac konfliqtis gamowveva SeuZlia. mudmivad
neitraluri saxelmwifo valdebulia, SeinarCunos politikuri da ekonomikuri
damoukidebloba, mas ar SeuZlia, gaxdes romelime ekonomikuri gaerTianebisa Tu
sabaJo kavSiris wevri. Tumca, mudmivi neitraliteti pasiuri sagareo politikis
gatarebas ar gulisxmobs _ neitralur qveyanas SeuZlia aqtiurad daicvas sakuTari
interesebi. mudmivi neitralitetis statusiT saxelmwifos damoukideblobis garantiebi
eniWeba, sxva saxelmwifoebs ki _ imis garantiebi, rom neitraluri qveyana mSvidobiani
iqneba da Tavs aaridebs yvela SesaZlo konfliqts.
tradiciuli neitralitetis SemTxvevaSi saxelmwifo atarebs neitralitetis
politikas, Tumca, samarTlebrivad mas ar ekisreba am statusiT
gaTvaliswinebuli valdebulebebi. evropis oTxi `damsaxurebuli~ neitraluri
saxelmwifodan ori (Sveicaria da avstria) legaluri neitralitetis statusiT
sargeblobs, xolo danarCeni ori (fineTi da SvedeTi), ukve karga xania,
neitralitets sagareo politikis ZiriTad principad aRiarebs.
meore msoflio omis Semdeg neitralitetze uari arc erT neitralur
saxelmwifos ar uTqvams. neitralurma qveynebma sakuTari neitraliteti aqtiur
sagareo politikas SeuTavses da ara mxolod teritoriuli mTlianoba
SeinarCunes, aramed Zlieri ekonomikis ganviTarebac moaxerxes. Tumca, mudmivad
neitraluri saxelmwifoebis ricxvi ar izrdeba. metic, SesaZloa, msoflio
ekonomikis internacionalizaciam, ekonomikuri urTierTkavSirebis gaZlierebam
ganapirobos is, rom momavalSi maT am statusiT aRarc iarsebon. garda amisa,
politikuri procesebic im mimarTulebiT viTardeba, rom neitraliteti zogierT
qveyanas damoukideblobis nakleb garantiebs Seuqmnis, vidre romelime Zlier
samxedro-politikur blokSi gaerTianeba.
16
35. pirvel abzacSi:
(a) dasmulia sakiTxi garkveuli politikuri fenomenis Sesaxeb; mocemulia misi
ZiriTadi maxasiaTeblebi; miTiTebulia am fenomenis ganmapirobebeli faqtorebi
(b) dasabuTebulia erT-erTi politikuri fenomenis Seswavlis aucilebloba;
dasaxelebulia am fenomenis aRmocenebis pirobebi; ganxilulia misi arsebobis
mizezebi
(g) miTiTebulia politikuri urTierTobis erT-erTi saxe; gamokveTilia misi
ganmapirobebeli faqtorebi; daxasiaTebulia am urTierTobis pozitiuri
Sedegebi
(d) ganxilulia politikuri usafrTxoebis dacvis xerxebi; warmodgenilia maTi
gamoyenebis Taviseburebebi; miTiTebulia usafrTxoebis ganmsazRvreli pirobebi
36. winadadeba: `erTi qveynis survili, iyos neitraluri, unda emTxveodes sxva, didi da Zlieri qveynebis survils, ixilon amgvari qveyana msoflio rukaze~
gulisxmobs, rom:
(a) qveyana SeinarCunebs neitralitets, Tu mas eqneba Zlieri qveynebis agresiuli
qmedebebisgan Tavdacvis SesaZlebloba
(b) qveyana moipovebs neitralitetis statuss, Tu mis mimarT sxva qveynebs ar
eqnebaT garkveuli saxis pretenziebi
(g) neitralitetis statusi qveyanas uqmnis pirobas, daimkvidros adgili msoflio
rukaze
(d) neitralitetis statusi qveyanas avaldebulebs, Tavi Seikavos Zalis
gamoyenebisgan nebismier situaciaSi
37. qvemoT CamoTvlilTagan romelSi ar aris sworad aRwerili mudmivi neitralitetis statusis mqone qveynebis uflebebi?
(a) maT ufleba aqvT, SeiaraRebuli gziT daicvan TavianTi damoukidebloba, Tumca,
am mizniT isini ver SeZleben romelime samxedro blokSi gaerTianebas
(b) maT ufleba aqvT, gaataron damoukidebeli sagareo da saSinao politika,
Tumca, ar SeuZliaT, sxva saxelmwifoebTan SeuTanxmeblad Seicvalon statusi
(g) maT SeuZliaT sxva qveynebisgan damoukideblobis garantiebis miReba, amasTan, ar
aqvT ufleba, CaerTon saerTaSoriso konfliqtSi
(d) maT SeuZliaT, aqtiurad daicvan sakuTari interesebi, amasTan, ufleba ar aqvT,
uari Tqvan sxva qveynebTan ekonomikur urTierTobebze
17
38. ra mniSvnelobiT aris gamoyenebuli IV abzacSi sityva `damsaxurebuli~ neitralur qveynebTan mimarTebaSi?
(a) am qveynebma Seqmnes saerTaSoriso usafrTxoebis mtkice garantiebi
(b) am qveynebs neitralitetis samarTlebrivi statusi mieniWaT maT mier nakisri
valdebulebebis Sesrulebis Sedegad
(g) es qveynebi mravali wlis ganmavlobaSi mtkiced icavdnen konfliqtSi
Caurevlobis principebs
(d) es qveynebi miekuTvnebian im saxelmwifoTa ricxvs, romlebmac moipoves
damoukidebeli ekonomikuri da politikuri ganviTarebis garantiebi
39. legaluri da tradiciuli neitralitetis Sedarebis safuZvelze SeiZleba davaskvnaT:
(a) I SemTxvevaSi neitraliteti mxolod sxva saxelmwifoebis mxridan dakisrebuli
valdebulebaa, xolo II SemTxvevaSi _ saerTaSoriso SeTanxmebis Sedegi
(b) I SemTxvevaSi neitraliteti samarTlebrivad gaformebuli politikuri
SeTanxmebis Sedegia, xolo II SemTxvevaSi _ ama Tu im saxelmwifos politikuri
nebis gamoxatuleba
(g) rogorc I, aseve, II SemTxvevaSi neitralitetis statusi avaldebulebs qveyanas,
upiratesoba mianiWos ara sakuTar, aramed _ sxva saxelmwifoebis interesebs
(d) rogorc I, aseve, II SemTxvevaSi neitralur qveyanas ar SeuZlia aqtiurad
daicvas sakuTari interesebi, rac gamoricxavs mis mier saerTaSoriso
daZabulobis Seqmnas
40. romeli debuleba gadmoscems marTebulad bolo abzacis ZiriTad azrs?
(a) neitralitetis politika xels uwyobs qveynis ekonomikuri da politikuri
Zlierebisa da stabilurobis SenarCunebas, miuxedavad amisa, Znelia misi
SeTavseba msoflio globalizaciis tendenciebTan
(b) neitralitetis statusis mqone qveynebma SeiZleba momavalSi aRar iarsebon,
radgan es statusi maT yovelgvar iniciativas zRudavs da msoflio
politikaSi Caurevlobas moiTxovs
(g) neitralitetis politikis Tanmimdevrulad gatarebas, savaraudod, mohyveba
patara qveynebis ekonomikurad gaZliereba, rac ewinaaRmdegeba msoflio
politikis mniSvnelovan `moTamaSeTa~ interesebs
(d) neitralitetze uaris Tqma saxelmwifosTvis politikurad momgebiani ar aris,
radgan ama Tu im samxedro-politikur blokSi gaerTianeba mas
damoukideblobis met garantiebs ver uqmnis
18
Savi samuSaosTvis
19
Savi samuSaosTvis
20
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
41.
(a) (b) (g) (d)
42.
gogonebma ufro meti soko Seagroves, vidre biWebma.
gogonebidan yvelaze meti soko Seagrova anam, xolo
biWebidan _ sandrom.
(a) (b) (g) (d)
43.
rombis gverdis sigrZea a, mcire diagonalisa _ d.
(a) (b) (g) (d)
52·7,3 2,5·37
sandros mier
Segrovebuli sokos
raodenoba
anas mier
Segrovebuli sokos
raodenoba
d a
23
44.
x da y iseTi ricxvebia, rom 0<x da 0>+ yx .
(a) (b) (g) (d)
45.
saerTo centris mqone ori wrewiridan erTis
radiusis sigrZea 3 sm, meorisa _ 8 sm. AOBsamkuTxedis A wvero erT-erT wrewirze mdebareobs, B _ meoreze, xolo O wvero am wrewirTa saerTo
centrs emTxveva.
(a) (b) (g) (d)
46.
a naklebia 3-ze. a da b ricxvebis saSualo
ariTmetikuli metia 7-ze.
(a) (b) (g) (d)
manZili ricxvTa
RerZze y-is Sesabamisi wertilidan saTavemde
manZili ricxvTa
RerZze x-is Sesabamisi wertilidan saTavemde
22 sm AOB samkuTxedis perimetri
10b
24
amocanebi
47. 44-is da 51-is erT-erT naturalur ricxvze gayofisas miRebuli naSTebi, Sesabamisad, 4-is da 3-is tolia. romelia es naturaluri ricxvi?
(a) 9
(b) 8
(g) 7
(d) 6
(e) 5
48. Tu 1−=y , maSin ( )( )=+++− 32 2121 yyy
(a) –12
(b) –6
(g) 0
(d) 6
(e) 12
49. kvlevaSi sul 57 studenti monawileobda, romlebic ramdenime jgufSi
gaanawiles. qvemoT CamoTvlilTagan romlis toli SeiZleba iyos im jgufebis
raodenoba, romlebSic studentebis raodenoba kentia? (a) 2
(b) 3
(g) 4
(d) 6
(e) 10
25
50. a da b samkuTxedebis wveroebi tolujredebiani badis kvanZebs emTxveva
(ix. naxazi). risi tolia a-s farTobis Sefardeba b-s farTobTan?
(a) 23
(b) 58
(g) 47
(d) 59
(e) 35
51. ramdeniT metia udidesi samniSna ricxvi im samniSna ricxvebidan udidesze, romelTa cifrebis jami 17-is tolia?
(a) 17-iT
(b) 18-iT
(g) 19-iT
(d) 20-iT
(e) 21-iT
26
monacemTa analizi
cxrilSi warmodgenilia monacemebi imis Sesaxeb, Tu ramdeni aTasi
srulwlovani adamiani iyo dasaqmebuli dasavleT saqarTvelos sxvadasxva
regionSi 2003-2007 wlebSi, amasTan, 2007 wlis monacemebi moyvanilia kvartalTa mixedviT.
weli da kvartali
aWara imereTi guria samegrelo-zemo svaneTi
raWa-leCxumi da qvemo svaneTi
2003 w 32,00 33,6 4,4 18,3 2,3 2004 w 38,89 39,6 4,9 21,7 2,5 2005 w 36,00 37,4 5,0 20,9 3,3 2006 w 36,30 37,2 5,2 21,9 2,6 2007 w I kv. 32,26 34,6 3,4 20,1 1,3 II kv. 33,14 35,6 3,5 20,6 1,6 III kv. 32,97 36,0 3,9 20,7 1,6 IV kv. 33,83 36,6 3,9 20,3 1,8
cxrilis mixedviT upasuxeT Semdeg 2 SekiTxvas: 52. rodis aRemateboda guriaSi dasaqmebul adamianTa raodenoba raWa-leCxumsa da qvemo svaneTSi dasaqmebulTa raodenobas 2-jer?
(a) 2004 wels
(b) 2005 wels
(g) 2006 wels
(d) 2007 wlis I kvartalSi
(e) 2007 wlis III kvartalSi 53. davuSvaT, rom aWaraSi 2005 wels 120 aTasi srulwlovani adamiani
cxovrobda. am regionis srulwlovan adamianTa raodenobis ramdeni procenti
yofila dasaqmebuli 2005 wels? (a) 10%
(b) 15%
(g) 20%
(d) 25%
(e) 30%
27
amocanebi
54. saklebis, maklebisa da maTi sxvaobis jami 60-is tolia. risi tolia maklebisa da sxvaobis jami?
(a) 15-is
(b) 20-is
(g) 25-is
(d) 30-is
(e) 35-is
55. CamoTvlilTagan romeli SeiZleba iyos im samkuTxedis wveroebis koordinatebi, romelic naxazze mocemuli
samkuTxedis simetriulia y-RerZis mimarT? (a) (–4; 1), (–2; 3), (–4; 7)
(b) (–2; 1), (–4; 3), (–2; 7)
(g) (–2; 1), (0; 3), (–1; 7)
(d) (4; –2), (8; –6), (4; –14)
(e) (–3; –1), (–3; –6), (–5; –3) 56. kolofSi asanTis Rerebi ewyo. maTi raodenoba jer gaaormages, Semdeg ki 10-iT Seamcires. amis Semdeg kolofSi darCenili asanTis Rerebis raodenoba isev gaaormages, Semdeg ki 10-iT Seamcires. ase moiqcnen mesamedac. amis Sedegad
kolofSi asanTis mxolod 2 Reri darCa. asanTis ramdeni Reri ewyo kolofSi Tavdapirvelad?
(a) 5
(b) 6
(g) 7
(d) 8
(e) 9
57. daviTs 2-jer naklebi wigni aqvs, vidre _ levans da 4-jer meti, vidre _ Salvas. samives erTad 70-ze naklebi wigni aqvs. CamoTvlilTagan romlis toli SeiZleba iyos daviTis wignebis raodenoba?
(a) 16
(b) 18
(g) 22
(d) 24
(e) 28
28
58. saerTo centris mqone ori wrewiridan erTis radiusis sigrZea 1 sm, meorisa _ 4 sm. ramdeni kvadratuli santimetria am wrewirebiT SemosazRvruli gamuqebuli
figuris farTobi? (a) π3
(b) π5
(g) π9
(d) π15
(e) π17
59. mimdevrobis mesame wevria 6, mexuTe wevri ki 1-is tolia. ras udris am mimdevrobis pirveli wevri, Tu cnobilia, rom am mimdevrobis nebismieri wevrisa
da misi momdevno ori wevris jami 10-is tolia? (a) 1
(b) 3
(g) 5
(d) 6
(e) 10
60. yuTSi mxolod wiTeli, lurji da TeTri feris windebia. minimum ramdeni winda unda amoviRoT yuTidan, masSi Cauxedavad, rom maTgan aucileblad Sedges
3 wyvili? (wyvils Seadgens ori erTnairi feris winda) (a) 6
(b) 7
(g) 8
(d) 9
(e) 10
29
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.
elenem SabaTs mTeli Tanxis 51 nawili daxarja,
xolo kviras _ darCenili Tanxis 31.
(a) (b) (g) (d)
62. b < a
(a) (b) (g) (d)
63.
12-gverdiani gazeTis gverdebis dasanomrad, sxva
cifrebTan erTad, saWiroa xuTi 1-iani.
(a) (b) (g) (d)
elenes mier SabaTs
daxarjuli Tanxa elenes mier kviras
daxarjuli Tanxa
3 – b 2 – a
400-gverdiani wignis gverdebis dasanomrad
saWiro 5-ianebis raodenoba
400-gverdiani wignis gverdebis dasanomrad
saWiro 8-ianebis raodenoba
30
64.
vanos honoraris ori mesamedi Tengizis honoraris
or mesamedze 240 lariT metia.
(a) (b) (g) (d)
65.
nebismieri a ricxvisTvis ∗a -iT aRniSnulia a-ze
meti umciresi mTeli ricxvi, xolo a#-iT _ a-ze naklebi udidesi mTeli ricxvi.
(a) (b) (g) (d)
66.
AMND marTkuTxedis farTobis Sefardeba ABCD marTkuTxedis farTobTan
41-is tolia.
(a) (b) (g) (d)
AMND marTkuTxedis perimetris Sefardeba ABCD marTkuTxedis perimetrTan 4
1
vanos da Tengizis honorarTa sxvaoba
360 lari
( )#3∗−a ( )∗− 3#a
31
amocanebi
67. marTkuTxa paralelepipedSi 9 erTnairi kubi isea ganlagebuli, rom yovel or mezobel kubs erTi waxnagi
saerTo aqvs (ix. naxazi). sul ramdeni aseTi kubi Caeteva
am marTkuTxa paralelepipedSi? (a) 27
(b) 30
(g) 36
(d) 40
(e) 45
68. CamoTvlilTagan romeli namravli iyofa unaSTod 60-ze? (a) 28·25·10·2
(b) 28·12·6·4
(g) 45·25·15·10
(d) 35·27·25·14
(e) 34·25·21·14
69. ricxvebi 2, x, y, 4,8 zrdis mixedviTaa dalagebuli. gansxvaveba yovel or mezobel ricxvs Soris 1-ze naklebia. CamoTvlilTagan romlis toli SeiZleba iyos x?
(a) 2,5
(b) 2,6
(g) 2,7
(d) 2,8
(e) 2,9 70. lias 2 vaJi hyavs. saaxalwlod liam vaJebs saCuqrad erTnairad SefuTuli 4 wigni SesTavaza, romelTagan ori moTxrobebis krebuli iyo, xolo danarCeni _ leqsebisa. TiToeul vaJs TiTo wigni unda aeRo. risi tolia imis albaToba,
rom orive vaJs moTxrobebis krebuli Sexvdeba? (a) 2
1
(b) 31
(g) 41
(d) 61
(e) 121
32
monacemTa analizi
grafikze warmodgenilia monacemebi imis Sesaxeb, Tu zogadsaganmanaTleblo
skolis TiToeuli safexuris (dawyebiTi, sabazo, saSualo) moswavleTa raodenobis ramden procents Seadgenda amave safexuris im moswavleTa raodenoba, romlebsac
xelovnebasac aswavlidnen 2003/2004 _ 2007/2008 saswavlo wlebSi. magaliTad,
grafikis mixedviT varkvevT, rom 2003/2004 saswavlo wels xelovnebas sabazo
skolis moswavleTa 12% Seiswavlida.
diagramaze ki warmodgenilia monacemebi imis Sesaxeb, Tu
zogadsaganmanaTleblo skolis TiToeul safexurze xelovnebis Semswavlel
moswavleTa saerTo raodenobis ramden procents Seadgenda cekvis, musikis, xatvis
Tu xelovnebis sxva dargebis Semswavlel moswavleTa raodenobebi 2007/2008 saswavlo wels. magaliTad, diagramis mixedviT varkvevT, rom 2007/2008 saswavlo wels dawyebiT skolaSi cekvas Seiswavlida dawyebiT skolaSi xelovnebis
Semswavlel moswavleTa 40%.
grafikisa da diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas:
33
71. romel saswavlo wels iyo xelovnebis Semswavlel moswavleTa wili dawyebiT skolaSi 2,5-jer meti, vidre _ saSualo skolaSi?
(a) 2003/2004 saswavlo wels
(b) 2004/2005 saswavlo wels
(g) 2005/2006 saswavlo wels
(d) 2006/2007 saswavlo wels
(e) 2007/2008 saswavlo wels
72. ramdeniT naklebia 2006/2007 saswavlo wels sabazo skolaSi xelovnebis
Semswavlel moswavleTa procentuli maCvenebeli wina saswavlo wlis Sesabamis
maCvenebelze? (a) 1-iT
(b) 2-iT
(g) 3-iT
(d) 4-iT
(e) 5-iT
73. xelovnebis Semswavlel moswavleTa ramdeni procenti swavlobda musikas
dawyebiT skolaSi 2007/2008 saswavlo wels? (a) 10%
(b) 20%
(g) 30%
(d) 40%
(e) 50%
74. saSualo skolis moswavleTa raodenobis ramden procents Seadgenda xatvis Semswavlel moswavleTa raodenoba 2007/2008 saswavlo wels?
(a) 1%
(b) 1,5%
(g) 2%
(d) 2,5%
(e) 3%
34
amocanebi
75. figuris radiusis sigrZe vuwodoT am figuris momcvel wreebs Soris
umciresis radiusis sigrZes.
marTkuTxa samkuTxedis kaTetebis sigrZeebi
tolia marTkuTxedis gverdebis sigrZeebisa.
risi tolia marTkuTxa samkuTxedis radiusis
sigrZis Sefardeba marTkuTxedis radiusis sigrZesTan? (a) 2
1-is
(b) 1-is (g) 2
3-is
(d) 2-is (e) 3
4 -is
76. Tamarma, naTiam, sofom da elenem zRvis napiras sul 32 niJara Seagroves. Tamarma naTias misca 7 niJara, naTiam sofos _ 4 niJara, sofom elenes _ 1 niJara, xolo elenem Tamars _ 6 niJara. amis Semdeg oTxives toli raodenobis niJarebi aRmoaCndaT. ramdeni niJara Seugrovebia sofos?
(a) 5
(b) 6
(g) 7
(d) 8
(e) 9
77. ramdeni Wiqa gaawonasworebs Caidansa
da saSaqres marjvena
sasworze ? (a) 7
(b) 6
(g) 5
(d) 4
(e) 3
35
78. erT sibrtyeze mdebare ori wrewiri erTmaneTs kveTs. erTi wrewiris
radiusis sigrZea 2 sm, xolo wrewirTa centrebs Soris manZili 17 sm-ia. qvemoT CamoTvlilTagan romlis toli SeiZleba iyos meore wrewiris radiusis sigrZe?
(a) 13 sm
(b) 15 sm
(g) 17 sm
(d) 19 sm
(e) 21 sm
79. kunZulze, romelzec mxolod ori _ A da B _ dasasvenebeli kompleqsia,
isveneben frangi da ingliseli turistebi.
frangebi isveneben orive kompleqsSi, xolo
ingliselebi _ mxolod B kompleqsSi.
diagramebze mocemulia, turistebis
raodenobis ra nawils Seadgenda frang da
inglisel turistTa raodenoba B kompleqsSi da mTlianad kunZulze. sul ramdeni frangi turisti isvenebda kunZulze, Tu A dasasvenebel
kompleqsSi 48 frangi turisti isvenebda? (a) 48
(b) 64
(g) 80
(d) 96
(e) 144
80. klasis moswavleTagan 12 gogonaa. CamoTvlilTagan romlis toli ar SeiZleba iyos biWebis raodenobis Sefardeba am klasis moswavleTa saerTo raodenobasTan?
(a) 137
(b) 32
(g) 107
(d) 85
(e) 94
36
Savi samuSaosTvis