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verbaluri nawili analogiebi

am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi

wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra

saxisaa es mimarTeba.

savaraudo pasuxTa yovel variantSi mocemulia, aseve, mniSvnelobiT

urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic

sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi arsebuli mimarTebis

analogiuria. pasuxis arCevisas gaiTvaliswineT sityvaTa Tanmimdevroba wyvilebSi.

1. 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

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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

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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.

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

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logika

am saxis davalebebi gansxvavdeba erTmaneTisgan monacemebisa da gamosatani

daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT SekiTxvas,

romelic axlavs TiToeul davalebas, da mocemuli variantebidan airCieT

Sesabamisi pasuxi.

zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva

naxazis formiT.

11. 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

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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.

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

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logika

am saxis davalebebi gansxvavdeba erTmaneTisgan monacemebisa da gamosatani

daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT SekiTxvas,

romelic axlavs TiToeul davalebas, da mocemuli variantebidan airCieT

Sesabamisi pasuxi.

zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva

naxazis formiT.

31. 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

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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

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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

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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.


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:






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74. mTargmnelTa biuroSi sul 20 TanamSromeli muSaobs.


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:






75. x da y erTmaneTisgan gansxvavebuli iseTi ricxvebia, rom 0<xy .


I. 0<+ yx .

II. yx < .

imis gasarkvevad, uaryofiTia Tu ara ricxvi x:






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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

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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

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