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2
verbaluri nawili analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi
wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi mocemulia, aseve, mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi arsebuli mimarTebis
analogiuria. pasuxis arCevisas gaiTvaliswineT sityvaTa Tanmimdevroba wyvilebSi.
1. laparaki : dumili (a) dakvra : mosmena
(b) yureba : cqera
(g) sirbili : dgoma
(d) mosinjva : Sexeba
2. qaravani : udabno (a) dasi : scena
(b) floti : kaiuta
(g) eqspedicia : banaki
(d) konsiliumi : reanimacia
3. multiplikatori : moZraobis iluzia (a) monarqi : samefo atributi
(b) msaxiobi : mxatvruli saxe
(g) mecnieri : fizikuri movlena
(d) arqeologi : istoriuli Zegli
4. ialqani : qari (a) Zrava : sawvavi
(b) marxili : sadave
(g) qura : ali
(d) generatori : deni
5. barieri : barikada (a) samarTali : kanoni
(b) leqsika : sityva
(g) brZola : dueli
(d) daskvna : msjeloba
3
6. Tanavarskvlavedi : varskvlavi (a) xeivani : gza
(b) kolonada : TaRi
(g) ansambli : vokalisti
(d) populacia : individi
7. akvareli : plastilini (a) Ruza : anZa
(b) gemi : TviTmfrinavi
(g) sateliti : kosmosi
(d) porti : akvatoria
4
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.
8. aravin _____ im mizeziT, rom ______ ; ubralod, adamians is ereva ______ , romelsac ______ .
(a) irCevs sikeTes / sikeTes eswrafvis / saTnoebasa da netarebaSi / surs Tavi
daaRwios
(b) gaurbis mankierebas / is mankierebaa / im bednierebasa da sikeTeSi / surs Tavi
daaRwios
(g) gaurbis saTnoebas / saTnoeba ar surs / borotebasa da mankierebaSi /
eswrafvis
(d) irCevs borotebas / is borotebaa / im bednierebasa da sikeTeSi / eswrafvis
9. _____ , romlebic dRes evropaSi qveyndeba aRmosavleTis xelovnebis Sesaxeb, _____ , rom es udidesi mxare _____ .
(a) miuxedavad ramdenime umniSvnelo gamokvlevisa / ar SeiZleba iTqvas / dRes
ucnobi miwa aRar aris
(b) im safuZvlian kvlevaTa simravlis gaTvaliswinebiT / ar SeiZleba iTqvas /
dRes ucnobi miwa aRar aris
(g) miuxedavad mravali gamokvlevisa / SeiZleba iTqvas / dResac ucnob miwad
rCeba
(d) im safuZvlian kvlevaTa simravlis gaTvaliswinebiT / SeiZleba iTqvas / dResac
ucnob miwad rCeba
10. bevri maswavleblisTvis _____ daxelovneba ufro _____ procesia, vidre _ _____ . amas obieqturi mizezebi aqvs: Tavad aRzrda ufro _____ cnebaa, vidre
swavleba, romelic pirovnebis inteleqtualuri potencialis ganviTarebisa da
zneobrivi srulyofis, anu aRzrdis erT-erTi saSualebaa.
(a) swavlebaSi / rTuli / aRzrdaSi / farTo
(b) aRzrdaSi / rTuli / swavlebaSi / farTo
(g) aRzrdaSi / martivi / swavlebaSi / viwro
(d) swavlebaSi / martivi / aRzrdaSi / viwro
5
logika
am saxis davalebebi gansxvavdeba erTmaneTisgan monacemebisa da gamosatani
daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT SekiTxvas,
romelic axlavs TiToeul davalebas, da mocemuli variantebidan airCieT
Sesabamisi pasuxi.
zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva
naxazis formiT.
11. auqcionze oTxi ferweruli tilo gamoitanes: erTi mones, erTi sezanis,
erTi gogenis, xolo erTi _ van gogis mier Sesrulebuli.
garda amisa, cnobilia:
• mones tilo ufro Zvirad Sefasda, vidre sezanis.
• gogenis tilo ufro Zvirad Sefasda, vidre sezanis.
• mones tilo ufro Zvirad Sefasda, vidre van gogis.
qvemoT CamoTvlilTagan fasis mixedviT (I _ yvelaze maRali, IV _ yvelaze
dabali) naxatebis romeli dalageba Seesabameba am monacemebs?
I II III IV
(a) gogenis tilo sezanis tilo mones tilo van gogis tilo
(b) sezanis tilo mones tilo van gogis tilo gogenis tilo
(g) van gogis tilo gogenis tilo mones tilo sezanis tilo
(d) gogenis tilo mones tilo sezanis tilo van gogis tilo
12. fiWvnaris sam mxares _ aRmosavleTiT, CrdiloeTiT da samxreTiT _ sami
saxli dgas. saxlebi erTmaneTisgan imiT gansxvavdeba, rom erTi wiTeli kramitiTaa
gadaxuruli, erTs TeTri aivani aqvs, xolo erTs _ maRali fanjrebi.
amasTan, cnobilia:
• Tu aRmosavleTiT wiTelkramitiani saxli dgas, maSin samxreTiT
maRalfanjrebiani saxlia.
• Tu maRalfanjrebiani saxli samxreTiTaa, maSin TeTraivniani saxli ar aris
CrdiloeTiT.
• TeTraivniani saxli CrdiloeTiT aris.
romeli saxli dgas fiWvnaris samxreTiT?
(a) wiTelkramitiani
(b) TeTraivniani
(g) maRalfanjrebiani
(d) monacemebi ar aris sakmarisi am kiTxvaze pasuxis gasacemad
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13. gundebad mcxovrebi patara Citis, wiwkanas, qcevaze dakvirvebis safuZvelze biologebma ivaraudes, rom wiwkanas mkerdze muqi zolis sigane `statusis
signalis~ rols asrulebs _ Tanagundelebs amcnobs, rom am niSnis mqone
individs brZolis gansakuTrebuli unari aqvs, da amiT gundis wevrebs
usargeblo Setakebebisgan icavs.
qvemoT CamoTvlilTagan romeli faqti ayenebs eWvqveS mkvlevarTa varauds?
(a) rac ufro ganieri zoli aqvs wiwkanas mkerdze, miT ufro iSviaTad esxmian
mas Tavs Tanagundelebi, misi asakis, sqesisa da frTebis sigrZis miuxedavad
(b) wiwkanebis gundSi daculia mkacri asakobrivi ierarqia: es Citebi arasodes
esxmian Tavs maTze ufros Tanagundelebs, xolo mkerdze muqi zolis sigane
asakis matebis erT-erTi niSania
(g) rac ufro kargad aqvs wiwkanas ganviTarebuli kunTovani sistema da rac
ufro swrafad SeuZlia reagireba garemodan miRebul stimulebze, miT ufro
ganieri zoli aqvs mas mkerdze, misi asakisa da sqesis miuxedavad
(d) wiwkanebi iSviaTad esxmian Tavs iseT Tanagundels, romelsac maTze ufro
ganieri zoli aqvs mkerdze, Tumca im SemTxvevebis absolutur umravlesobaSi,
roca aseTi Tavdasxma mainc xdeba, ganieri zolis mqone individi imarjvebs
14. umaRlesi saswavleblis iuridiul fakultetze bevri studenti swavlobs. amasTan, mocemulia:
• iuridiuli fakultetis arc erTi studenti ar swavlobs espanurs.
• iuridiuli fakultetis yvela studenti swavlobs ritorikas.
qvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am debulebebidan?
(a) maTgan, vinc espanurs swavlobs, aravin swavlobs ritorikas
(b) yvela, vinc ritorikas swavlobs, iuridiuli fakultetis studentia
(g) arseboben studentebi, romlebic swavloben ritorikas da ar swavloben
espanurs
(d) maTgan, vinc espanurs swavlobs, zogierTi swavlobs ritorikas
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
Zvel saberZneTSi bevri moazrovne svamda SekiTxvas: rogor gaCnda
filosofia? platoni erT-erT TxzulebaSi sokrates aTqmevinebs: `filosofoss
sCvevia es gancda _ gakvirveba. filosofias sxva sawyisi ar aqvs.~ es azri
aristotelem amgvarad Camoayaliba: `adamianebi gakvirvebis Sedegad iwyeben
filosofosobas. Tavdapirvelad maT akvirvebdaT uSualo dabrkolebebi. Semdeg
dainteresdnen ufro mniSvnelovani problemebiT _ mTvareze, varskvlavebze
mimdinare procesebiTa da yovelives warmoSobis mizezebiT.~
rasakvirvelia, martooden gakvirveba ar ganapirobebs filosofiuri
azrovnebis Camoyalibebas. gulwrfeli, adamianuri gakvirvebidan pirveli
filosofosebis gaCenamde berZnulma azrovnebam garkveuli etapebi ganvlo. jer
kidev homerosis poemebSi igrZnoba skeptikuri damokidebuleba tradiciuli
warmodgenebis mimarT. mogvianebiT hesiodem scada, kosmogoniuri* miTebis
qaosuri simravlidan Camoeyalibebina sistema, rac filosofiuri azrovnebisken
gadadgmul nabijad SeiZleba miviCnioT. Zv. w. VII-VI saukuneebidan ki, lirikuli
poeziis ganviTarebasTan erTad, aqtualuri xdeba `me~-sTan dakavSirebuli
problematika. pirovneba Tavisi Tavisken iwyebs Semobrunebas, mas surs, samyaroca
da adamianuri Rirebulebebic sakuTari poziciidan dagvanaxos.
berZnul wyaroebSi moixsenieba arqaikis epoqaSi mcxovrebi Svidi brZeni,
romelTa Soris upirvelesi adgili uWiravs Taless (Zv. w. VII-VI s.s.). iTvleba,
rom misi moRvaweobiT iwyeba berZnuli filosofiis istoria. Zvel saberZneTSi
filosofosi warmoadgenda moazrovne adamianis savsebiT axal tips, romlis
Semoqmedebas ar hqonda praqtikuli xasiaTi. Tuki literaturisa da xelovnebis
daniSnuleba iyo adamianTaTvis siamovnebis miniWeba da maTi zneobrivi srulyofa,
Tuki brZnuli Segonebebi maTTvis swori gzis Cvenebas isaxavda miznad,
filosofosis miswrafeba SeiZleboda amgvari formuliT gadmogveca: `codna
codnisTvis~. marTlac, pirveli filosofosebi ar usaxavdnen TavianT kvlevas
praqtikul miznebs, maTTvis codnas ar hqonia e. w. instrumentuli xasiaTi.
platoni mogviTxrobs: erTxel Talesi Sebindebulze fexiT midioda, Tan
varskvlavebs akvirdeboda. caSi yurebiT ise gaerTo, rom gzaze ormo ver SeniSna
da Sig Cavarda. am SemTxvevis momswre mona gogonam filosofoss dascina, ise
gainteresebs cis ambebi, rom imas veRar amCnev, rac Sen cxvirwin xdebao. zogi am
ambavs ganixilavs, rogorc miniSnebas filosofiis arapraqtikulobaze, zogs ki is
yoveldRiurobisgan filosofosTa ganyenebulobis ilustraciad miaCnia.
epikosma poetma hesiodem, romelmac pirvelma scada tradiciuli
miTologiuri informaciis mowesrigeba, dasva SekiTxva: `ra iSva pirvelad?~
filosofosma ki pirvelad dasva SekiTxva amgvarad: `ra aris arxe (sawyisi)?~
berZnuli filosofiis ganviTarebis ZiriTadi impulsi gaxda pasuxis Zieba
SekiTxvaze: ra aris yovelives sawyisi? cnobilia Talesis gamonaTqvami:
`yvelafris arxe aris wyali.~ Talesis Teoriis mixedviT, yvelaferi arsebuli
warmoiqmna saerTo, bunebrivi sawyisisgan da, amdenad, yvela sagani Tavisi
warmoSobiT erTiania. aq SeiZleba davinaxoT swrafva movlenaTa da saganTa
simravleSi zogadi kanonzomierebis aRmoCenisken.
*kosmogonia _ samyaros warmoSoba.
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15. ra mimarTebaa platonisa da aristoteles citatebSi warmodgenil
Tvalsazrisebs Soris? (upasuxeT I abzacis mixedviT)
(a) platonisa da aristoteles mosazrebebi urTierTsapirispiroa
(b) platonisa da aristoteles mosazrebebi zustad emTxveva erTmaneTs
(g) aristotele imeorebs platonis mosazrebas da ganavrcobs mas
(d) aristotele ganazogadebs platonis konkretul Tvalsazriss
16. pirveli filosofosebis gamoCenamde berZnulma azrovnebam garkveuli etapebi ganvlo:
I _ Zveli Sexedulebebis mimarT kritikuli damokidebuleba;
II _ sakuTar TavSi CaRrmaveba, pirovnuli problemebis analizi;
III _ samyaros warmoSobasTan dakavSirebul gadmocemebSi struqturis Zieba.
qvemoT CamoTvlilTagan romel pasuxSia es etapebi dalagebuli qronologiuri
TanmimdevrobiT?
(a) I, II, III
(b) I, III, II
(g) II, I, III
(d) II, III, I
17. aristotele mogviTxrobs: Taless dascinodnen siRaribis gamo, rasac
filosofiis mimarT mis gadaWarbebul interess abralebdnen. imis dasamtkiceblad,
rom misi siRaribe nebayoflobiTi iyo, Talesma varskvlavebze dakvirvebis
safuZvelze zustad gamoTvala zeTisxilis mosavlis aRebis dro, manamde iqirava
im mxareSi arsebuli yvela zeTsaxdeli mowyobiloba da Semdeg bevrad ufro
Zvirad gaaqirava.
Talesis Sesaxeb aristotelesa da platonis monaTxrobTa Sedarebis safuZvelze
SeiZleba davaskvnaT:
(a) filosofia ganyenebul sakiTxTa kvlevas isaxavs miznad, Tumca is SeiZleba
garkveulwilad praqtikulic iyos, Tuki filosofosi moindomebs saamisod mis
gamoyenebas
(b) filosofiis, iseve, rogorc literaturisa da xelovnebis, daniSnulebaa
adamianTaTvis siamovnebis miniWeba da maTi Camoyalibeba moazrovne, Tavisufal
subieqtebad
(g) orive filosofosi Talesis erTsa da imave Tvisebas gamokveTs _ Seqmnili
situaciis sworad Sefasebisa da racionaluri gamosavlis moZiebis unars
(d) es ori informacia urTierTgamomricxavia, radgan platoni Taless gvixatavs,
rogorc arapraqtikul, dabneul adamians, aristotele ki misi azrovnebis
racionalurobas usvams xazs
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18. bolo abzacSi fraza _ `tradiciuli miTologiuri informaciis
mowesrigeba~ _ gulisxmobs:
(a) filosofosTa swrafvas Teoriuli codnisken
(b) uZvelesi gadmocemebis sistematizaciis mcdelobas
(g) miTologiuri gadmocemebis saerTo sawyisebis moZiebas
(d) saganTa simravleSi zogadi kanonzomierebis aRmoCenas
19. teqstis romel or abzacs aqvs msgavsi siuJeturi sqema?
(a) I-sa da IV-s, radgan orive abzacSi konkretuli filosofosis msjelobas
sailustraciod axlavs magaliTi varskvlavebze
(b) II-sa da III-s, radgan orive abzacSi gamokveTilia filosofiis ori aspeqti:
erTi mxriv, wminda mecnieruli, da, meore mxriv, praqtikuli
(g) II-sa da V-s, radgan orive abzacSi aRwerilia berZnuli filosofiuri
azrovnebis ganviTarebis dinamika
(d) III-sa da V-s, radgan orive abzaci sruldeba daskvniT: samyaroSi yovelive
saerTo sawyisisgan warmoiSva
20. ra aris am teqstis ZiriTadi daniSnuleba?
(a) miTosis, literaturisa da filosofiis kvlevis obieqtebis Sedareba
(b) filosofiis ganviTarebis sxvadasxva etapze Camoyalibebul Teoriul
mosazrebaTa analizi
(g) filosofiis, rogorc yoveldRiurobisgan ganyenebuli mecnierebis, daxasiaTeba (d) berZnuli filosofiuri azrovnebis ganviTarebis sawyisi safexuris
TaviseburebaTa Cveneba
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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 analogiuri iyos.
21. TareSi : daarbia Semecneba :
(a) Seiswavla
(b) Seadara
(g) Seafasa
(d) SeTxza
22. vulkani : Sadrevani naperwkali :
(a) namceci
(b) ali
(g) Sxefi
(d) mtveri
23. dominireba : Tanasworoba demokratia :
(a) avtonomia
(b) separatizmi
(g) intervencia
(d) avtoritarizmi
24. tramplini : naxtomi motivi :
(a) mizani
(b) ganzraxva
(g) qceva
(d) Sedegi
25. caTambjeni : simravle repertuari :
(a) individualuroba
(b) erToblioba
(g) Tanmimdevroba
(d) mravalferovneba
11
winadadebebis Sevseba
am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa
gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.
erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes.
savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis
nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is
varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis
gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.
26. jansaRi politikuri cxovrebisTvis aucilebelia ______ momxreebis, ______ mebrZolebis arseboba. ase iqneba manam, sanam romelime partia imdenad ar
gaafarToebs Tavisi azrovnebis farglebs, rom SeZlos, ______ , erTmaneTisgan
ganasxvaos is, ______ , da is, rac ______ .
(a) rogorc wesrigisa da stabilurobis / ise progresisa da reformisTvis /
Tanabrad iyos rogorc wesrigis, aseve progresis partia / risi SenarCunebac
saWiroa / Zireulad unda gardaiqmnas
(b) wesrigisa da stabilurobis / magram ara _ progresisa da reformisTvis /
srulad gaacnobieros stabilurobis aucilebloba / rac Secvlas saWiroebs /
ar unda Seicvalos
(g) ara wesrigisa da stabilurobis / aramed progresisa da reformisTvis /
Tanabrad iyos rogorc wesrigis, aseve progresis partia / risi SenarCunebac
saWiroa / ar unda Seicvalos
(d) ara wesrigisa da stabilurobis / aramed progresisa da reformisTvis /
srulad gaacnobieros gardaqmnebis aucilebloba / rac Secvlas saWiroebs /
Zireulad unda gardaiqmnas
27. Tu or erTdroulad momxdar faqts Soris _____ uSualo kavSirs,
gansakuTrebiT, Tu aseTi kavSiris Sesaxeb hipoTeza _____ ukve aRmoCenil
kanonebs, maSin unda moiZebnos mesame movlena, romelzec _____ damokidebuli,
anu romelic SeiZleba gamodges maT Soris _____ .
(a) ver vamCnevT / ewinaaRmdegeba / orive erTnairad aris / Sualedur rgolad
(b) aSkarad vxedavT / ar ewinaaRmdegeba / orive erTnairad aris / kavSiris
dasamyareblad
(g) ver vamCnevT / ewinaaRmdegeba / arc erTi ar aris / kavSiris dasamyareblad
(d) aSkarad vxedavT / ar ewinaaRmdegeba / arc erTi ar aris / Sualedur
rgolad
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28. Cveni drois erT-erTi Tavisebureba isaa, rom _____ ideebsa da Sexedulebebs _____ . dRes _____ moZRvraven, maT nacvlad azrovneben da maTi saxeliT
laparakoben _____ adamianebi.
(a) politikuri, sasuliero Tu saero elita Tavis / warmatebiT axvevs Tavs
xalxis masebs / elitarul wreebs / rigiTi, Cveulebrivi
(b) politikuri, sasuliero Tu saero elita / aRar iRebs xalxis masebisgan /
elitarul wreebs / rigiTi, Cveulebrivi
(g) xalxis masa Tavis / warmatebiT axvevs Tavs sasuliero Tu saero elitas,
politikur liderebs / rigiT adamianebs / maTze maRla mdgomi
(d) xalxis masa / aRar iRebs sasuliero Tu saero elitisgan, liderebisgan an
wignebidan / rigiT adamianebs / maTive msgavsi
29. _____ , rom vaJam _____ mouxmo _____ saCveneblad, aramed, piriqiT, _____ .
(a) bunebrivi rodia / eTnosur samyarosa da dialeqts / ara universaluris /
provinciulis gamosaxatavad
(b) bunebrivia / eTnosur samyarosa da dialeqts ki ar / provinciulis /
sazogadosa da universalurs
(g) paradoqsia / eTnosur samyarosa da dialeqts ki ar / universaluris /
sazogadosa da araspecifikurs
(d) paradoqsia / eTnosur samyarosa da dialeqts / ara provinciulis /
universaluris gamosaxatavad
30. cnobilia jon raskinis fraza Tvalis `umankoebis~ Sesaxeb: `sinamdvilis
amsaxveli WeSmariti xedva _____ , sagnis _____ Cveni Semecnebis, gamocdilebis
da swavlis Sedegia.~ amgvari gamonaTqvamebi aqvT XIX saukunis sxva
Teoretikosebsac. maTSi _____ , rom yovelgvari cnebisa da codnis ukugdeba
_____ mxatvars, Caswvdes xiluli samyaros WeSmarit arss.
(a) mxolod sibrtyeze ferebis monacvleobis aRqmas rodi gulisxmobs / namdvili
arsis wvdoma / ikveTeba is azri / SesaZleblobas aZlevs
(b) aris mxolod sibrtyeze ferebis monacvleobis aRqma / Sesaxeb yoveli sxva
warmodgena ki / ikveTeba is azri / SesaZleblobas aZlevs
(g) aris mxolod sibrtyeze ferebis monacvleobis aRqma / namdvili arsis wvdoma
swored / uaryofilia mosazreba / xels uSlis
(d) mxolod sibrtyeze ferebis monacvleobis aRqmas rodi gulisxmobs / Sesaxeb
yoveli warmodgena / uaryofilia mosazreba / xels uSlis
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. bolo wlebSi gaxSirda SemTxvevebi, rodesac futkrebis koloniebi
nadgurdeba imis gamo, rom muSa futkrebi masobrivad toveben skas da iRupebian.
zogierTi mecnieris varaudiT, am movlenis mizezia fermerTa mier axali
Zliermoqmedi pesticidebis gamoyeneba, romlebic ara mxolod parazit, aramed
sasargeblo mwerebsac vnebs.
qvemoT CamoTvlilTagan romeli viTareba ganamtkicebs aRniSnul varauds?
(a) futkrebi, ZiriTadad, sasoflo-sameurneo kulturebis yvavilebis neqtriTa da
mtvriT ikvebebian
(b) soflis meurneobaSi sul ufro xSirad gamoiyeneba xilisa da bostneulis
genetikurad modificirebuli jiSebi
(g) dadgenilia, rom rac ufro mravalferovania futkris sakvebi, miT ufro
jansaRi imunuri sistema aqvs mas
(d) dadgenilia, rom futkrebze uaryofiT zemoqmedebas axdens mobiluri
satelefono qselebis ganviTarebiT gamowveuli eleqtromagnituri gamosxiveba
32. ana, beso, giorgi da dea musikaluri kvartetis wevrebi arian. erT-erTi maTgani gitaraze ukravs, erTi _ violinoze, erTi _ kontrabasze da erTic _
fleitaze. koncertze isini yovelTvis erT rigad sxedan, ise, rom scenaze:
• marcxnidan pirveli zis fleitisti.
• marcxnidan meore zis beso.
• gitaristis marjvniv zis dea, marcxniv ki is, vinc violinoze ukravs.
romeli musikosi romel instrumentze ukravs, Tu cnobilia, rom giorgi ar
ukravs gitaraze?
(a) ana _ violino, beso _ gitara, giorgi _ kontrabasi, dea _ fleita
(b) ana _ gitara, beso _ fleita, giorgi _ violino, dea _ kontrabasi
(g) ana _ gitara, beso _ violino, giorgi _ fleita, dea _ kontrabasi
(d) ana _ fleita, beso _ violino, giorgi _ kontrabasi, dea _ gitara
14
33. mocemulia: • mzis sistemis zogierTi planeta dedamiwaze ufro didia.
• mzis sistemis yvela planeta, romelic dedamiwaze ufro didia, mzisgan
ufro Sorsaa, vidre dedamiwa.
• mzis sistemis yvela planeta elifsis formis orbitaze moZraobs.
qvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am wanamZRvrebidan?
(a) dedamiwaze ufro didi yvela planeta elifsis formis orbitaze moZraobs
(b) zogierTi ciuri sxeuli, romelic elifsis formis orbitaze moZraobs,
mzisgan ufro Sorsaa, vidre dedamiwa
(g) mzis sistemis zogierTi planeta mzesTan ufro axlosaa, vidre dedamiwa
(d) dedamiwaze ufro didi yvela planeta, romelic mzisgan dedamiwasTan
SedarebiT ufro Sorsaa, mzis sistemas miekuTvneba
34. mocemulia ori debuleba: • afrikis zogierTi qveyana mdidaria bunebrivi resursebiT.
• bunebrivi resursebiT mdidari zogierTi qveynis ekonomika damokidebulia
nedleulis eqsportze.
maSasadame, afrikis zogierTi qveynis ekonomika damokidebulia nedleulis
eqsportze.
es daskvna:
(a) gamomdinareobs mxolod pirveli debulebidan
(b) gamomdinareobs mxolod meore debulebidan
(g) gamomdinareobs orive debulebidan erTad
(d) ar gamomdinareobs mocemuli debulebebidan
15
wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
jer kidev antikur xanaSi adamianebs akvirvebdaT is faqti, rom horizontze
mTvare gacilebiT ufro didi Cans, vidre maSin, rodesac is maRlaa, zenitSi. am
movlenas uwodes mTvaris iluzia. arsebobs ramdenime Teoria, romlebic
sxvadasxvagvarad xsnis am movlenas. aristoteles droidan moyolebuli,
gavrcelebuli iyo Sexeduleba, TiTqos horizontze mTvaris didi zoma aixsneba
`gamadidebeli~ efeqtiT, romelsac dedamiwis atmosfero qmnis. Tumca amJamad
cnobilia, rom mTvaris zomis aRqmaze atmosfero gavlenas ar axdens, is mxolod
mis fers cvlis.
mTvaris iluziis erT-erT axsnas gvTavazobs e. w. SedarebiTi zomis Teoria,
romlis Tanaxmad, sagnis aRqmuli zoma damokidebulia ara mxolod Tvalis
baduraze mocemuli misi gamosaxulebis zomaze, aramed sxva obieqtebis sididezec,
romlebic am dros mxedvelobis velSi xvdeba. rodesac vakvirdebiT mTvares
horizontze, Cven vxedavT ara marto mas, aramed sxva obieqtebsac, romelTa fonze
mTvare ufro didi moCans, vidre is sinamdvileSia. xolo rodesac mTvare zenitSia,
cis ukidegano sivrce mas ufro mcire zomis mqoned warmoaCens. am efeqtis
sailustraciod germaneli fsiqologis h. ebinghauzis mier Catarebul eqsperimentSi
patara wreebiT garSemortymuli wre warmoadgenda mTvares
horizontze, mxedvelobis velSi moxvedrili landSaftis sxvadasxva
obieqtTan _ xeebTan Tu SenobebTan _ erTad. xolo wre, romelic
ufro didi wreebiT iyo garSemortymuli, warmoadgenda mTvares
zenitSi. miuxedavad imisa, rom orive centralur wres Tanabari zoma hqonda,
cdispirTa umravlesobas suraTze marjvena wre ufro didi eCveneboda (nax. 1).
Sevsebuli sivrcis hipoTezis Tanaxmad, horizontsa da damkvirvebels Soris
arsebuli sivrce Sevsebulia sxvadasxvagvari obieqtebiT da amitom gacilebiT
ufro didi moCans, vidre Seuvsebeli sivrce zecamde. analogiurad, Senoba,
romelic ornamentebiT da figurebiTaa morTuli, ufro maRali Cans, vidre is
sinamdvileSia. manZilis zrdasTan erTad obieqtis gamosaxulebis zomebi Tvalis
baduraze unda mcirdebodes. magram radgan orive SemTxvevaSi mTvaris
gamosaxuleba baduraze erTi da imave zomisaa, xolo damkvirvebeli ufro
daSorebulad aRiqvams mTvares horizontze, vidre zenitSi, mxedvelobis sistemas
`Sesworebebi~ Seaqvs mTvaris aRqmul zomebSi. amitom mTvare horizontze ufro
didi gveCveneba, vidre mTvare zenitSi.
am Teorias exmianeba italieli fsiqologis mario poncos koncefcia,
romlis Tanaxmad, obieqtis zomis aRqmaze gavlenas axdens misi foni. poncom ori
Tanabari zomis horizontaluri monakveTi daxaza iseTi xazebis fonze, romlebic
garkveul wertilSi erTdeboda (nax. 2). amiT perspeqtivis, siRrmis iluzia iqmneboda, ris gamoc zeda monakveTi damkvirveblisgan ufro daSorebuli
da, Sesabamisad, ufro didi zomisa moCanda. zogierTi mkvlevris azriT,
mTvaris iluzia poncos iluziis magaliTia, sadac xeebi, Senobebi da
landSaftis sxva detalebi erTi wertilisken mimarTuli xazebis rols
asrulebs. mTvare, romelic moCans horizontis xazze, landSaftis obieqtTa
grZeli rigis bolosaa moqceuli. es gvaiZulebs vifiqroT, rom mTvare ufro
didia, vidre sinamdvileSi. mxedvelobis velidan am orientirebis amoRebisas
mTvaris xiluli zomebi mkveTrad mcirdeba.
16
35. qvemoT CamoTvlilTagan iluziis romeli magaliTia ebinghauzis iluziis
analogiuri?
(a) uCveulod didi simaRlidan danaxuli adamianebi wertilebad aRiqmebian
(b) kalaTburTelTa gundis wevrTa Soris myofi msaji ufro dabali moCans,
vidre is sinamdvileSia
(g) didi moculobis sagnebze dakvirvebis Semdeg SedarebiT mcire moculobis
sagani kidev ufro patara zomisa Cans, vidre is sinamdvileSia
(d) TeTri feris sagani ufro didi gveCveneba, vidre amave zomis muqi sagani
36. qvemoT CamoTvlilTagan romeli faqti ar SeiZleba gamogvadges ebinghauzis (SedarebiTi zomis) hipoTezis gasabaTilebel argumentad?
(a) mcire zomis varskvlavebis fonze axlad amosuli mTvare ar aRiqmeba, rogorc
Cveulebrivze ufro didi
(b) mTvaris iluzia TviTmfrinavis pilotebsac uCndebaT, miuxedavad imisa, rom
maTi mxedvelobis velSi ar xvdeba dedamiwaze ganlagebuli obieqtebi
(g) mTvaris iluzia Cndeba maSinac, rodesac mTvares akvirdebian muqi filtridan,
saidanac ar Cans mis garSemo arsebuli arc erTi sxva obieqti
(d) Cvensa da mTvares Soris arsebuli didi manZili iwvevs iluzias, TiTqos,
sadac unda wavideT, mTvare Tan mogvyveba
37. qvemoT CamoTvlilTagan romeli viTareba ubiZgebs mxedvelobas, `Sesworebebi~ Seitanos aRqmuli sagnis xatSi?
(a) ori obieqtis gamosaxuleba baduraze zustad erTnairia, Tumca erT-erTi
obieqti SedarebiT daSorebulad aRiqmeba
(b) damkvirvebelsa da mTvares Soris sivrce ar aris Sevsebuli sxvadasxva
obieqtiT, Sesabamisad, mTvare ufro daSorebulad aRiqmeba
(g) Senoba Semkulia figurebiTa da ornamentebiT, amitom is ufro maRali Cans,
vidre sinamdvileSia
(d) Tvalis baduraze obieqtis gamosaxulebis zoma mcirdeba imis gamo, rom
aRsaqmel obieqtamde manZili ar aris danawevrebuli
17
38. poncos iluziis magaliTidan gamomdinare, ratom moCans mTvare ufro didi horizontze, vidre zenitSi?
(a) poncos figuraze gamosaxuli daSorebuli xazis analogiurad, mTvare am
SemTxvevaSi ufro Sors mdebareobs
(b) mTvares, poncos figuris zeda monakveTis msgavsad, efareba landSaftis
obieqtTa grZeli rigi
(g) dedamiwis landSaftis obieqtTa grZeli rigi qmnis daSorebulobis iluzias,
msgavsad erTi wertilisken mimarTuli xazebisa poncos naxatze
(d) mTvaris iluzias, poncos iluziis msgavsad, ganapirobebs saTanado
orientirebis ararseboba
39. ra mimarTebaa I abzacsa da danarCen abzacebs Soris?
(a) I abzacSi saubaria mxedvelobasTan dakavSirebuli erT-erTi movlenisa da
misi umarTebulo axsnis Sesaxeb, xolo danarCen abzacebSi warmodgenilia am
movlenis axsnis sxvadasxva mcdeloba
(b) I abzacSi saubaria erT-erTi bunebrivi movlenis Sesaxeb, danarCen abzacebSi
ki warmodgenilia am movlenis axsnis ramdenime warumatebeli mcdeloba
(g) I abzacSi ganxilulia erT-erTi bunebrivi movlena da mocemulia misi
mcdari axsna, rac konkretuli magaliTebis meSveobiT dasabuTebulia
danarCen abzacebSi
(d) I abzacSi ganxilulia mxedvelobis sistemis erT-erTi mniSvnelovani
Tavisebureba da misi gamomwvevi mizezebi, romlebic ilustrirebulia
danarCen abzacebSi
40. teqstis mTavari mizania:
(a) eqsperimentuli kvlevis Sedegad mopovebuli monacemebis safuZvelze
warmoaCinos iluziaTa Taviseburebebi
(b) iluziaTa mizezebis amxsneli hipoTezebis urTierTSedarebis safuZvelze
daadasturos erT-erTis marTebuloba
(g) warmogvidginos konkretuli iluziis bunebis Sesaxeb arsebuli hipoTezebis
kritika
(d) gagvacnos konkretuli iluziis gamomwvevi faqtorebis Sesaxeb arsebuli
hipoTezebi
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)
mnmn aaa +=⋅
mnmn aaa −=:
mnmn aa ⋅=)(
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:
( ) 222 2 bababa ++=+
( ) 222 2 bababa +−=−
( )( ) 22 bababa −=−+ 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: βα = .
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.
futi sigrZis erTeulia. davuSvaT, rom 1 futi 30 santimetris tolia.
(a) (b) (g) (d)
43.
marTkuTxedis sigrZea x, sigane _ y. marTkuTxedis A wvero B wverosTan SeerTebulia texiliT, romlis gverdebi
marTkuTxedis gverdebis
paraleluria (ix. naxazi).
(a) (b) (g) (d)
1315191513 −−++ 1416181614 −−++
4 sm/wm 6 futi/wT
texilis sigrZe x + y
23
44.
sazamTro da nesvi erTad 9,5 kg-s iwonis, sazamTro da gogra _ 9,1 kg-s, xolo sazamTro da Talgami _ 8,5 kg-s.
(a) (b) (g) (d)
45.
ramdenime Tanamamravlis namravli 504-is tolia.
TiToeuli Tanamamravli metia 5-ze.
(a) (b) (g) (d)
46.
ori tolferda samkuTxedidan erTi maxvilkuTxaa,
meore _ blagvkuTxa.
(a) (b) (g) (d)
sazamTrosa da
Talgamis wona
gogrisa da nesvis
wona
4TanamamravlTa raodenoba
blagvkuTxa
samkuTxedis maxvili
kuTxis sidide
maxvilkuTxa samkuTxedis
fuZesTan mdebare kuTxis
sidide
24
amocanebi
47. pirvel gaCerebaze avtobusidan 7 mgzavri Cavida, 6 ki _ amovida. meore
gaCerebaze Cavida 9 mgzavri, amovida _ 1. mesameze Cavida _ 5, arc erTi ar
amosula. meoTxe gaCerebaze Cavida 2 mgzavri, amovida _ 3. amis Semdeg avtobusSi 4 mgzavri aRmoCnda. ramdeni mgzavri yofila avtobusSi Tavdapirvelad?
(a) 12 (b) 15 (g) 17 (d) 23 (e) 27
48. pirvel kedelze xuTjer meti suraTi kidia, vidre meoreze, xolo mesameze _ orjer naklebi, vidre pirvel da meore kedlebze erTad. ramdenjer naklebi
suraTi kidia meore kedelze mesamesTan SedarebiT?
(a) 2-jer (b) 3-jer (g) 4-jer (d) 5-jer (e) 6-jer
49. oTxkuTxa piramidas 5 waxnagi da 8 wibo aqvs. ramdeni wibo aqvs piramidas, romelsac 12 waxnagi aqvs?
(a) 12 (b) 15 (g) 20 (d) 22 (e) 24
25
50. vanos mxolod 1-TeTriani, 2-TeTriani, 5-TeTriani, 10-TeTriani da 20-TeTriani monetebi aqvs. man Tavis 6 megobars TiTo moneta aCuqa. aRmoCnda, rom or
maTgans erTnairi monetebi Sexvda, xolo danarCenebs _ sxvadasxvanairi.
CamoTvlilTagan romlis toli ar SeiZleba iyos vanos mier gaCuqebuli Tanxis
raodenoba?
(a) 39 TeTri (b) 40 TeTri (g) 43 TeTri (d) 45 TeTri (e) 48 TeTri
51. =05012,0
(a) 10002
1001
105 ++
(b) 10002
10001
105 ++
(g) 100002
10001
1005 ++
(d) 1000002
10001
1005 ++
(e) 1000002
100001
1005 ++
26
monacemTa analizi
diagramaze mocemulia, qalTa da mamakacTa ramdeni procenti iyo dasaqmebuli
saqarTveloSi 2005 wels (asakobrivi jgufebis mixedviT).
cxrilSi ki mocemulia, Tu ramdeni aTasi qali da mamakaci iyo dasaqmebuli
saqarTveloSi 2003-2005 wlebSi (asakobrivi jgufebis mixedviT).
2003 2004 2005 qali mamakaci qali mamakaci qali mamakaci
15-24 wlis 59,7 96,6 49,4 81,8 50,7 89,5 25-34 wlis 140,5 190,4 129,7 174,0 135,0 160,0 35-49 wlis 300,2 320,4 314,8 327,2 286,6 313,8 50-59 wlis 148,9 146,7 156,9 150,7 165,4 156,0
60 an meti wlis 207,7 203,3 210,6 192,8 204,2 188,8
diagramisa da cxrilis mixedviT upasuxeT Semdeg 4 SekiTxvas:
52. romel wels da romel asakobriv jgufSi iyo dasaqmebul mamakacTa raodenoba 325 aTasze meti?
(a) 2003 wels, 25-34 wlis asakobriv jgufSi (b) 2003 wels, 50-59 wlis asakobriv jgufSi (g) 2004 wels, 15-24 wlis asakobriv jgufSi (d) 2004 wels, 35-49 wlis asakobriv jgufSi (e) 2005 wels, 60 an meti wlis asakobriv jgufSi
53. ramdeniT aRemateboda 2005 wels 15-24 wlis dasaqmebul mamakacTa
procentuli maCvenebeli qalTa Sesabamis maCvenebels?
(a) 10-iT (b) 12,5-iT (g) 15-iT (d) 17,5-iT (e) 20-iT
27
54. ramdenjer naklebi iyo 2005 wels 60 wlis an ufro meti asakis dasaqmebul qalTa raodenoba dausaqmebel qalTa raodenobaze?
(a) 1,2-jer (b) 1,5-jer (g) 1,8-jer (d) 2,2-jer (e) 2,5-jer 55. 50-59 wlis ramdeni mamakaci cxovrobda saqarTveloSi 2005 wels?
(a) 175 aTasi (b) 180 aTasi (g) 195 aTasi (d) 210 aTasi (e) 240 aTasi
amocanebi
56. da niSnebiT cifrebia aRniSnuli. risi tolia + , Tuki
1 · 3 = 688 ?
(a) 8 (b) 9 (g) 10 (d) 11 (e) 12
57. m da n iseTi naturaluri ricxvebia, rom nm 23 =− . CamoTvlilTagan
romlis toli SeiZleba iyos m ?
(a) 13 (b) 15 (g) 17 (d) 19 (e) 21
28
58. ABCD marTkuTxedi dayofilia tol
kvadratebad, romelTagan zogierTi araa
gamuqebuli (ix. naxazi). minimum ramdeni kvadrati
unda gavamuqoT kidev, rom miRebuli gaumuqebeli
figura iyos simetriuli AB da CD gverdebis
Suawertilebze gavlebuli RerZis mimarT?
(a) 1 (b) 2 (g) 3 (d) 4 (e) 5
59. ramdenjer gadiddeba dadebiTi ricxvi, Tu mas amave ricxvis 150%-s mivumatebT?
(a) 1,5-jer (b) 2-jer (g) 2,5-jer (d) 3-jer (e) 3,5-jer
60. erTmaneTis momdevno 8 naturaluri ricxvisgan Sedgenili mimdevrobis bolo 4 wevris jami 50-is tolia. risi tolia am mimdevrobis yvela wevris jami? (a) 72
(b) 80 (g) 84 (d) 92 (e) 96
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.
maRaziaSi feradi furclebi iyideba. 60-furcliani Sekvra 5 lari Rirs, 40-furcliani _ 4 lari, xolo calobiT TiTo feradi furceli _ 20 TeTri. giam am maRaziaSi sul 90 feradi furceli SeiZina.
(a) (b) (g) (d)
62.
nebismieri k naturaluri ricxvisaTvis *k aRniSnavs
1-dan k-s CaTvliT yvela naturaluri ricxvis jams. magaliTad, 6321*3 =++= .
(a) (b) (g) (d)
63.
wridan, romlis radiusis sigrZea 3 sm, amoWrilia marTkuTxedi, romlis sigrZea
4 sm, sigane _ 3 sm. marTkuTxedidan, romlis sigrZea 5 sm, sigane _ 4 sm, amoWrilia wre, romlis radiusis sigrZea 1 sm.
(a) (b) (g) (d)
gias mier gadaxdili
Tanxis raodenoba 11 lari
kk 3* +( )*3+k
marTkuTxedis darCenili
nawilis farTobi
wris darCenili
nawilis farTobi
30
64.
akvariumSi mxolod 8 sm-dan 15 sm-mde sigrZis
wiTeli da 6 sm-dan 10 sm-mde sigrZis vercxlisferi Tevzebia.
.
(a) (b) (g) (d)
65.
CogburTelma wlis II naxevarSi 2-jer meti Sexvedra gamarTa, vidre _ I naxevarSi. man mogebiT daasrula
wlis I naxevarSi gamarTuli Sexvedrebis 60%, xolo mTeli wlis ganmavlobaSi gamarTuli Sexvedrebis
40%.
(a) (b) (g) (d)
amocanebi
66. Tu m naturaluri ricxvia, maSin ( )( )3412 ++ mm :
(a) aucileblad kentia
(b) aucileblad luwia
(g) luwia mxolod maSin, roca m luwia (d) kentia mxolod maSin, roca m luwia (e) luwia, roca m kentia
67. ABCD oTxkuTxedis B da D wertilebi y RerZze mdebareobs, xolo A da C wertilebis koordinatebia, Sesabamisad, ( )11;9 −− da ( )3;4 (ix. naxazi).
risi tolia ABD samkuTxedis farTobis Sefardeba BCD samkuTxedis farTobTan?
(a) 2,25 (b) 2,5 (g) 2,75 (d) 3 (e) 3,5
30%CogburTelis mier mogebuli
Sexvedrebis procentuli wili
wlis II naxevarSi
wiTeli Tevzebis
saSualo sigrZe
vercxlisferi Tevzebis
saSualo sigrZe
31
68. Tu ( )( ) 0642 2 =++ yy , maSin =y2
(a) 4− (b) 3−
(g) 2 (d) 3 (e) 4
69. wriul diagramaze warmodgenilia monacemebi Rvinis qarxanaSi dawuruli sxvadasxva jiSis
yurZnis (colikauris, cicqas, kraxunas da
ojaleSis) raodenobaTa Sesaxeb.
ramdeni tona ojaleSi dauwuravT qarxanaSi,
Tu cnobilia, rom am qarxanaSi 350 tona kraxuna dawures?
(a) 100 (b) 110 (g) 120 (d) 130 (e) 140
70. wyliT savse auzis dacla erTi miliT SesaZlebelia 3 saaTSi, meoriT _ 4 saaTSi, xolo mesamiT _ 5 saaTSi. auzis minimum ra nawili iqneba wyliT Sevsebuli 1 saaTis Semdeg, Tu savse auzis dasaclelad am sami milidan mxolod ors gaxsnian?
(a) 31
(b) 125
(g) 157
(d) 158
(e) 2011
71. 24 decimetri sigrZis Zeli wiTeli xazebiT dayves 6 tol nawilad, xolo lurji xazebiT _ 8 tol nawilad. Semdeg dayofis yvela xazze Zeli gadaxerxes. gaxerxvis Sedegad miiReba Zelis:
(a) mxolod 1 dm da 2 dm sigrZis naWrebi (b) mxolod 1 dm da 3 dm sigrZis naWrebi (g) mxolod 3 dm da 4 dm sigrZis naWrebi (d) 1 dm, 2 dm da 3 dm sigrZis naWrebi (e) 1 dm, 3 dm da 4 dm sigrZis naWrebi
32
monacemTa sakmarisoba
72. ABCD marTkuTxedi dayofilia sam tol kvadratad.
mocemulia Semdegi ori piroba:
I. ABCD marTkuTxedis perimetria 40 sm. II. TiToeuli kvadratis perimetria 20 sm.
imis gasarkvevad, Tu risi tolia ABCD marTkuTxedis farTobi:
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke ki _ arc erTi araa sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve II piroba
(e) mocemuli pirobebi araa sakmarisi
73. ianvris ganmavlobaSi benzinis fasi ucvleli iyo. TebervalSi benzini
gaZvirda, martSi ki isev gaiafda da imdenive Rirda, rac _ ianvarSi.
mocemulia Semdegi ori piroba:
I. TebervalSi benzini ianvarTan SedarebiT 20%-iT gaZvirda. II. martSi benzini TebervalTan SedarebiT 30 TeTriT gaiafda.
imis gasarkvevad, Tu risi toli iyo benzinis fasi ianvarSi:
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke ki _ arc erTi araa sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve II piroba
(e) mocemuli pirobebi araa sakmarisi
33
74. mTargmnelTa biuroSi sul 20 TanamSromeli muSaobs.
mocemulia Semdegi ori piroba:
I. inglisuri enis mcodne TanamSromelTa raodenoba 12-is tolia. II. germanuli enis mcodne TanamSromelTa raodenoba 10-is tolia.
imis gasarkvevad, Tu risi tolia im TanamSromelTa raodenoba, romlebmac
inglisuri enac ician da germanuli enac:
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke ki _ arc erTi araa sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve II piroba
(e) mocemuli pirobebi araa sakmarisi
75. x da y erTmaneTisgan gansxvavebuli iseTi ricxvebia, rom 0<xy .
mocemulia Semdegi ori piroba:
I. 0<+ yx .
II. yx < .
imis gasarkvevad, uaryofiTia Tu ara ricxvi x:
(a) I piroba sakmarisia, II ki _ ara
(b) II piroba sakmarisia, I ki _ ara
(g) I da II piroba erTad sakmarisia, cal-calke ki _ arc erTi araa sakmarisi
(d) sakmarisia cal-calke rogorc I, aseve II piroba
(e) mocemuli pirobebi araa sakmarisi
34
amocanebi
76. marTkuTxa paralelepipedi, romlis siganea 10 sm, xolo simaRle _ 6 sm, dayofilia 6 tol marTkuTxa paralelepipedad (ix. naxazi). risi tolia dayofis Sedegad
miRebuli TiToeuli marTkuTxa paralelepipedis
moculoba? (a) 60 sm3
(b) 70 sm3
(g) 80 sm3
(d) 90 sm3
(e) 100 sm3 77. m da n martivi ricxvebia. CamoTvlilTagan romlis toli SeiZleba iyos
nm ⋅ ?
(a) 12 (b) 18 (g) 26 (d) 45 (e) 75
78. kolofSi mxolod wiTeli da TeTri feris burTulebi awyvia. wiTeli
burTulebis raodenoba a-s tolia, xolo TeTri burTulebisa _ b-si. nikam
kolofidan amoiRo 4 wiTeli da 2 TeTri burTula. risi tolia imis albaToba, rom amis Semdeg nikas mier kolofidan amoRebuli kidev erTi burTula wiTeli
feris iqneba?
(a) 64−+
−ba
a
(b) 44−+
−ba
a
(g) ba
(d) baa+
(e) 24
−−
ba
35
79. yoveli kvadrati misi gadamkveTi wrfeebiT
SeiZleba daiyos tol marTkuTxedebad. magaliTad,
ABCD kvadrati misi gadamkveTi 3 wrfiT
dayofilia 6 tol marTkuTxedad (ix. naxazi). vTqvaT, raime kvadrati misi gadamkveTi wrfeebiT
dayofilia 24 tol marTkuTxedad. CamoTvlilTagan romlis toli SeiZleba iyos am wrfeebis raodenoba?
(a) 6 (b) 7 (g) 9 (d) 11 (e) 13
80. eqskursiaze moswavleebi ori avtobusiT gaemgzavrnen. pirvel avtobusSi
myofi moswavleebis raodenoba meore avtobusSi myof moswavleTa raodenobis
naxevari iyo. mas Semdeg, rac pirveli avtobusidan meoreSi 8 moswavle gadavida, pirvel avtobusSi moswavleTa raodenoba meore avtobusSi myofi moswavleebis
raodenobis meoTxedi gaxda. sul ramdeni moswavle gamgzavrebula eqskursiaze?
(a) 60 (b) 63 (g) 69 (d) 72 (e) 75