2006 unarebi 1
TRANSCRIPT
verbaluri nawili
analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,
romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi aseve mocemulia mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba gamuqebul sityvaTa urTierTmimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
1. prologi : romani
(a) simi : violino
(b) zRurbli : saxli
(g) CarCo : suraTi
(d) qvevri : marani
2. temperatura : gradusi
(a) kacobrioba : dinastia
(b) kosmosi : planeta
(g) dro : saukune
(d) sivrce : horizonti
3. xumroba : enamaxvili
(a) datuqsva : dasjili
(b) daJineba : jiuti
(g) ampartavneba : Tavmdabali
(d) monanieba : mimtevebeli
4. xaWo : rZe
(a) koconi : fiCxi
(b) Wa : wyali
(g) urika : tvirTi
(d) Saqari : muraba
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5. wamali : medikamenti
(a) cvari : nami
(b) aguri : saxli
(g) Tiva : zvini
(d) Canaxati : naxati
6. Tovli : nakvalevi
(a) qalaqi : naqalaqari
(b) buxari : nacari
(g) mdinare : navi
(d) sxeuli : nakawri
7. nakrZali : nadiri
(a) samWedlo : iaraRi
(b) sabado : qvanaxSiri
(g) sasaxle : galavani
(d) muzeumi : ganZi
8. jejili : puris yana
(a) moswavle : maswavlebeli
(b) mSobeli : Svili
(g) Wabuki : mamakaci
(d) qali : mandilosani
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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.
9. anbanis yoveli asoniSani grafikuli figuraa da am figurebis moxazuloba _____ , rom Tvali mkafiod da Tavisuflad _____ . magram, amave dros, es
figurebi anu asoniSnebi erTmaneTTan garkveul _____ amJRavneben, rac imis
mimaniSnebelia, rom TiToeuli asos moxazuloba anbanis _____ eqvemdebareba.
(a) imdenad emsgavseba erTmaneTs / ver aRiqvams maT msgavsebas / msgavsebasac /
erTian grafikul sistemas
(b) odnav gansxvavdeba erTmaneTisgan, ise / ganasxvavebs maT / sxvaobasac /
sxvadasxva grafikul sistemas
(g) imdenad gansxvavdeba erTmaneTisgan / aRiqvams maT sxvaobas / msgavsebasac /
erTian grafikul sistemas
(d) ise emsgavseba erTmaneTs / ganarCevs maT erTmaneTisgan / msgavsebasac /
sxvadasxva grafikul sistemas
10. Tu marTlac vaRiarebT _____ , romlebic adamianis uflebebis konvenciis safuZvels warmoadgens, _____ dRevandel ekonomikur _____ da msoflio
resursebis _____ gzebi unda gamovnaxoT.
(a) Tanasworobis principebs / unda davxuWoT Tvali / uTanasworobaze /
Tanabrad ganawilebis
(b) korufciis principebs / aRar unda davxuWoT Tvali / Tanasworobaze /
samarTliani ganawilebis
(g) humanizmis principebs / unda davxuWoT Tvali / aRmavlobaze / araTanabrad
ganawilebis
(d) Tanasworobis principebs / aRar unda davxuWoT Tvali / uTanasworobaze /
samarTliani ganawilebis
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11. _____ , rom momxsenebeli oratoruli niWiT _____ , man _____ daemala am sakiTxis arcodna. Tumca, moxsenebis damTavrebis Semdeg mis mimarT _____ ,
radganac msmenelebs Soris _____ .
(a) imis wyalobiT / gamoirCeoda / SeZlo / ar gaisma uaryofiTi Sefasebebi /
bevri mixvda, rom misi gamosvla warumatebeli iyo
(b) miuxedavad imisa / gamoirCeoda / ver SeZlo / mxolod ramdenime kritikuli
SeniSvna gaisma / bevri misi megobari imyofeboda
(g) imis wyalobiT / ar gamoirCeoda / SeZlo / gaisma dadebiTi Sefasebebi / am
sakiTxis bevri kargi specialisti imyofeboda
(d) miuxedavad imisa / ar gamoirCeoda / ver SeZlo / gaisma damcinavi SeZaxilebi /
am sakiTxis bevri kargi mcodne imyofeboda
12. Zalauflebisaken ltolva politikuri aqtivobis _____ motivia, _____ , sazogadoebaSi damkvidrebuli Sexeduleba, TiTqos Zalaufleba
politikosebisaTvis _____ monapovaria, _____ .
(a) mniSvnelovani / Tumca / arc Tu sasurveli / mcdaria
(b) araarsebiTi / miuxedavad amisa / sruliad umniSvnelo / sworia
(g) ZiriTadi / Sesabamisad / yvelaze sasurveli / sworia
(d) arsebiTi / aqedan gamomdinare / yvelaze mniSvnelovani / mcdaria
13. dedamiwaze SemorCenili cocxali organizmebis gadasarCenad mecnierebma
gadawyvites, _____ yvela is teritoria, romlebic "gadaudebel daxmarebas" saWiroebs; _____ bunebis damcvelTa ZiriTadi Zalisxmeva mimarTon swored am
"cxeli wertilebis" _____ .
(a) daicvan / xolo Semdeg / gamoyofisken
(b) moiZion / manamde ki / dacvisken
(g) daicvan / sabolood ki / moZiebisken
(d) gamoyon / xolo Semdeg / dacvisken
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logika
am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari monacemebisa da
gamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT
SekiTxvas, romelic axlavs TiToeul davalebas da mocemuli variantebidan
airCieT Sesabamisi pasuxi.
zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva
naxazis formiT.
14. studentebTan gasaubrebis Semdeg leqtorma, romelmac unda Caataros
gamocda, gamoTqva varaudi:
• am studentTagan sul mcire sami amoxsnis yvela amocanas.
gamocdis Semdeg SeiZleba iTqvas, rom leqtoris varaudi gamarTlda, Tu:
(a) verc erTma studentma ver amoxsna yvela amocana
(b) yvela amocana amoxsna mxolod erTma studentma
(g) yvela amocana amoxsna mxolod orma studentma
(d) yvela amocana amoxsna oTxma studentma
15. daxurul yuTSi devs burTi an kubi. daTuna, Tako da luka gamoTqvamen varaudebs imis Sesaxeb, Tu: 1. ra sagania
moTavsebuli yuTSi da 2. ra ferisaa es sagani
• daTuna ambobs, rom yuTSi moTavsebuli sagani: 1. burTia; 2. yviTelia
• Tako ambobs, rom yuTSi moTavsebuli sagani: 1. burTia; 2. wiTelia
• luka ambobs, rom yuTSi moTavsebuli sagani: 1. kubia; 2. mwvanea
yuTis gaxsnis Semdeg aRmoCnda, rom yoveli gamoTqmuli varaudis mxolod erTi
nawilia WeSmariti. ra devs yuTSi da ra ferisaa is?
(a) wiTeli burTi
(b) mwvane kubi
(g) mwvane burTi
(d) yviTeli kubi
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16. qarxnis xelmZRvanelobis gadawyvetilebiT, muSebs moemataT xelfasi. xelfasis momatebidan erT TveSi qarxnis produqciis warmoeba, wina periodTan SedarebiT,
sagrZnoblad gaizarda.
am informaciis safuZvelze gamoiTqva varaudi, rom:
qarxnis produqciis warmoebis zrda muSebisaTvis xelfasis momatebis Sedegia.
qvemoT CamoTvlilTagan romeli faqti ayenebs eWvqveS am varauds?
(a) am TveSi xelfasis momatebis gamo muSebi ufro mondomebiT Sromobdnen da
samuSao drois gasvlis Semdegac rCebodnen qarxanaSi
(b) am TveSi qarxanas daubrundnen saukeTeso muSakebi, romlebic kvalifikaciis
amaRlebis grZelvadian kursebze imyofebodnen
(g) am TveSi qarxnis danadgarebi Secvales axlebiT, romlebic winandelebze
uaresi aRmoCnda
(d) am TveSi qarxanaSi kvalifikaciis asamaRleblad movida axalbeda muSaTa jgufi,
romelTa daostatebaze qarxnis muSebi bevr drosa da energias xarjavdnen
17. magidas oTxi mxridan usxedan Tiko, mixo, lizi da anika. erT-erTi maTgani agrovebs monetebs, meore agrovebs kalmistrebs, mesame _ kenWebs, meoTxe _
niJarebs. anikas marcxniv zis is, vinc agrovebs monetebs, marjvniv ki _ lizi,
romelic arc niJarebs agrovebs da arc kalmistrebs. mixos marjvniv zis is, vinc
agrovebs kalmistrebs.
ras agrovebs Tiko?
(a) niJarebs
(b) kenWebs
(g) kalmistrebs
(d) monetebs
18. mocemulia: • Tu rezos waiyvanen eqspediciaSi, is ramdenime dRes mTaSi gaatarebs
• an rezos waiyvanen eqspediciaSi, an sofo gaemgzavreba zRvaze
• Tu sofo gaemgzavreba zRvaze, is Tavidan aicilebs erT usiamovno
Sexvedras
• sofom Tavidan ver aicila usiamovno Sexvedra
qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebebidan aucileblad?
(a) rezo ar waiyvanes eqspediciaSi
(b) sofo gaemgzavra zRvaze
(g) rezom ramdenime dRe mTaSi gaatara
(d) rezom ramdenime dRe mTaSi gaatara, sofo ki zRvaze gaemgzavra
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT
(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi).
XX saukunemde TiTqmis yvela mxatvari erT ZiriTad azrs iziarebda:
suraTis organzomilebian sibrtyeze samganzomilebiani sivrcis imgvari iluzia
unda Seiqmnas, TiTqos realur samyaroSi SeRebuli fanjaraao. magram XIX
saukunis 80-ian wlebSi frangma mxatvarma pol sezanma sivrcis gadmocemis axali
gzebis Zieba daiwyo, ramac mxatvrobisadmi sruliad axal midgomas daudo saTave.
sezani sagnebs, bunebas, misive TqmiT, "cilindrebis, sferoebisa da
konusebis" meSveobiT gamosaxavda. Suqisa da Crdilis nacvlad, suraTze siRrmis STabeWdilebas igi sxvadasxva feris "naWrebis" gverdigverd ganlagebiT qmnida. amas garda, sezani sagans xedvis sxvadasxva wertilidan xatavda, riTac realur,
"gamaerTianebel" perspeqtivas arRvevda. es gansakuTrebiT kargad Cans mis
naturmortebSi, sadac, magaliTad, erTsa da imave tiloze boTlis an Tasis zeda
nawili SeiZleba zeda wertilidan iyos danaxuli, xolo qveda nawili _ qvemodan.
magram es darRveva, erTi SexedviT, SeumCnevelia.
1907 wels parizSi gamarTul did gamofenaze axalgazrda mxatvrebma pablo
pikasom da JorJ brakma naxes sezanis namuSevrebi, romlebmac maTze waruSleli
STabeWdileba moaxdina. Semdgom am axalgazrdebma sezanis eqsperimentebi kidev
ufro ganaviTares. Tavis mxatvrul tiloebze sezani arRvevda realur sivrces,
pikasom da brakma ki saerTod uari Tqves sivrcis iluziis Seqmnaze. amis nacvlad
sxvadasxva dros da sxvadasxva kuTxiT danaxuli detalebi gaaerTianes. rodesac
erT-erTma kritikosma brakis suraTs _ "saxlebi estaqSi" _ "patara kubebis
grova" uwoda, am stilma Tavisi saxelic miiRo _ "kubizmi". kubizmis istoriaSi gamoyofen sam periods: e.w. "sezanurs", "analitikursa"
da "sinTezurs". "sezanuri" periodis kubistur tiloebze masiuri sagnebi TiTqos brtyel geometriul formebadaa daSlili. saganTa waxnagebi feris meSveobiT
ganirCeva erTmaneTisgan. kubizmis ganviTarebis am periodze gavlena moaxdina
afrikulma xelovnebamac, kerZod, skulpturam, romelsac axasiaTebs martivi
geometriuli formebi. Semdgom _ "analitikur" _ periodSi sagnis pirvandeli forma kidev ufro Znelad aRiqmeba, xdeba misi geometriuli struqturis
gamovlena, am struqturis Sesabamisad saganTa danawevreba martiv formebad da
Semdeg am nawilebisgan axali formis konstruireba. amasTanave, feri kargavs
funqcias, gamoiyeneba neitraluri, upiratesad ruxi, aseve _ moyavisfro,
momwvano ferebi. "sinTezur" periodSi ki kubisturi tiloebi met feradovnebas iZens, upiratesoba eniWeba dekoratiulobas, xdeba sxvadasxvagvari fragmentebisgan
_ sityvebis, cifrebis, notebis, gazeTis naglejebis, feradi qaRaldebis, sqematuri
naxatebis, minis namsxvrevebisgan _ obieqtis sinTezireba. amgvar nawarmoebs
"kolaJi" (frang. _ "dawebeba") ewoda. kubistebis mizani iyo realobis Semecneba _ saganTa Sinagani arsis
gamovlena axali saSualebebiT da gansxvavebuli, axali realobis Seqmna. rogorc
mogvianebiT aRmoCnda, es iyo yvelaze revoluciuri stili xelovnebis istoriaSi.
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19. teqstis pirvel abzacSi saubaria:
(a) samyaros asaxvis im ZiriTad principebze, romlebic yvela mxatvrisTvis
saerTo iyo XX saukunemde, magram miuRebeli aRmoCnda maTTvis, vinc XIX
saukunis 80-ian wlebSi moRvaweobda
(b) im principis Sesaxeb, romlis mixedviTac XIX da XX saukunis mxatvrebi
suraTis organzomilebian sibrtyeze samganzomilebiani sivrcis iluzias
qmnidnen
(g) mxatvrobisadmi tradiciul midgomasa (samganzomilebiani sivrcis iluziis
Seqmna) da sivrcis gadmocemasTan dakavSirebuli eqsperimentis Sesaxeb
(d) sivrcis iluziis Seqmnis sezaniseul iniciativaze, rac gulisxmobda samyaros
asaxvas naturalisturi sizustiT
20. qvemoT CamoTvlilTagan romeli azria mcdari (upasuxeT II abzacis mixedviT)?
(a) sezanis erTsa da imave naturmortSi sagnis calkeuli nawilebi SeiZleba
sxvadasxva wertilidan iyos danaxuli
(b) suraTze samganzomilebiani sivrcis STabeWdilebas sezani qmnida Suq-
Crdilebis monacvleobiT
(g) sxvadasxva kompoziciis Seqmnas sezani cdilobda geometriuli formebis
meSveobiT
(d) sezani garesinamdviles Tavis tiloebze asaxavda cilindrebis, sferoebisa da
konusebis meSveobiT
21. pablo pikasom da JorJ brakma sezanis namuSevrebis daTvalierebis Semdeg:
(a) ugulebelyves sivrcis iluziis Seqmnis tradicia da sagnebs asaxavdnen
sxvadasxva droiTi da sivrculi perspeqtividan aRqmuli detalebis
gaerTianebiT
(b) sivrcis iluziis Seqmnis mizniT, daarRvies mxatvrobaSi damkvidrebuli
tradicia, romlis mixedviT yvelaferi erTi wertilidan unda yofiliyo
danaxuli
(g) xedvis sxvadasxva wertilidan sagnis daxatvis meSveobiT scades sezanis
mxatvruli teqnikis aTviseba
(d) kidev ufro ganaviTares sezanis eqsperimentebi da patara kubebis
gverdigverd ganlagebiT gaaZlieres siRrmis iluzia
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22. qvemoT CamoTvlilTagan romeli axasiaTebs ufro zustad kubizmis e. w.
"sezanur" periods?
(a) feri kargavs funqcias, sagnebi geometriul formebad iSleba da Semdeg xdeba
axali geometriuli formis konstruireba
(b) upiratesoba eniWeba dekoratiulobas da masalis nairgvarobas; feris
meSveobiT erTmaneTisgan ganirCeva saganTa waxnagebi
(g) sxvadasxvagvari geometriuli formebisgan xdeba obieqtis sinTezireba,
mniSvnelovania sagnis realuri formis SenarCuneba
(d) feris meSveobiT erTmaneTisgan ganirCeva saganTa waxnagebi, sagnebi martiv
geometriul formebadaa daSlili
23. kubizmis meore _ "analitikur" _ periodSi xdeba:
(a) Sinagani struqturis Sesabamisad saganTa danawevreba da am nawilebisgan
axali formis konstruireba
(b) sagnis geometriuli struqturis gamovlena, ris Sedegadac misi pirvandeli
forma advilad aRiqmeba
(g) gansxvavebuli sagnebiT erTi mTliani struqturis mqone obieqtis
konstruireba
(d) sagnis pirvandeli formis rekonstruqcia da misi danawevreba martiv
formebad
24. riT gamoirCeoda kubizmis "sinTezuri" periodi misi ori winare etapisgan?
(a) tiloze obieqtis rekonstruirebisaTvis mxatvrebi iyenebdnen sxvadasxva
faqturisa da Seferilobis masalas
(b) dekoratiul tiloebze masiuri sagnebi brtyel geometriul formebadaa
daSlili
(g) gansakuTrebiT mkafiod igrZnoba afrikuli xelovnebis, kerZod, skulpturis
gavlena
(d) upiratesad gamoiyeneba neitraluri ferebi, rac Znelad aRsaqmels xdis
sagnis pirvandel formas
25. teqstis mizania gagvacnos:
(a) XIX-XX saukuneebis mxatvrobis ZiriTadi mimdinareobebi, maTi
gamomsaxvelobiTi saSualebebi da arsebiTi niSan-Tvisebebi
(b) kubizmis, rogorc mxatvruli mimarTulebis arsi, Camoyalibebis istoria,
ganviTarebis etapebi da mniSvneloba saxviT xelovnebaSi
(g) axali realobis Seqmnisa da saganTa Sinagani arsis gamovlenis
gamomsaxvelobiTi saSualebebi, romlebic specifikuria mxatvrobis sxvadasxva
JanrisTvis
(d) kubizmis aRmocenebis kulturuli wanamZRvrebi _ afrikuli, agreTve XIX-XX
saukuneebis evropuli saxviTi xelovnebis roli mis CamoyalibebaSi
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analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,
romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi aseve mocemulia mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba gamuqebul sityvaTa urTierTmimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
26. adamiani : ZuZumwovari arseba
(a) gazeTi : Jurnali
(b) kvadrati : marTkuTxedi
(g) maisuri : qsovili
(d) kenwero : mwvervali
27. kompozitori : momRerali
(a) mwerali : personaJi
(b) balerina : mocekvave
(g) dramaturgi : msaxiobi
(d) mevioline : pianisti
28. Senoba : ngreva
(a) sabuTi : dakargva
(b) lxini : garToba
(g) riTma : galeqsva
(d) saidumlo : gamxela
29. javSani : usafrTxoeba
(a) mwvervali : dapyroba
(b) mze : gaTeneba
(g) pariki : gameloteba
(d) Termometri : daTboba
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30. muTaqa : baliSi
(a) oqro : vercxli
(b) matyli : Zafi
(g) fanjara : mina
(d) jami : WurWeli
31. uremi : satvirTo avtomanqana
(a) qoxi : saxli
(b) Wraqi : naTura
(g) suraTi : foto
(d) samarTebeli : dana
32. frTxili : laCari
(a) moridebuli : mokrZalebuli
(b) mliqvneli : matyuara
(g) xelmomWirne : Zunwi
(d) pranWia : metiCara
33. kinokamera : kinoekrani
(a) isari : ciferblati
(b) maRazia : vitrina
(g) gamosaxuleba : sarke
(d) gazqura : TefSi
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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.
34. _____ gaugo ditos, romelsac _____ , rodesac maTematikis gamocdaze
arcTu _____ niSani miiRo, radganac is _____ niSnis miRebas varaudobda.
(a) Znelia / Zalze ewyina / maRali / ufro maRali
(b) Znelia / Zalze gauxarda / dabali / ufro dabali
(g) Zneli araa / Zalze gauxarda / maRali / ufro dabali
(d) Zneli araa / Zalze gauxarda / dabali / ufro maRali
35. ucnauria, magram homeopaTiuri medikamentebis _____ wyalSi maTi _____ da ara _ _____ .
(a) moqmedebis efeqtis gaZliereba / Semcirebuli odenobiT ganzavebis gziT xdeba /
maTi koncentraciis gazrdis saSualebiT
(b) xSiri moxmareba / Semcierebuli odenobiT ganzavebis dros SeiZleba / mcire
koncentraciis pirobebSi
(g) moqmedebis efeqtis Semcireba / didi odenobiT ganzavebis gziT xdeba /
koncentraciis gazrdis saSualebiT
(d) iSviaTi moxmareba / didi odenobiT ganzavebis drosaa Sedegis momtani /
Zlieri koncentraciis pirobebSi
36. azrovnebis procesi pirovnebis aqtiur, mizandasaxul moqmedebas warmoadgens. xolo rodesac Cven _____ raime sakiTxze, _____ Cven _____ , da ara _ _____ .
(a) vmsjelobT / maSin vacnobierebT Cvens warmodgenebsa da azrTa msvlelobas,
anu / vocnebobT / vazrovnebT
(b) vmsjelobT / maSin uneburad gvitacebs warmodgenaTa da azrTa msvleloba,
anu / vazrovnebT / vocnebobT
(g) ki ar vmsjelobT / aramed vacnobierebT Cvens warmodgenebsa da azrTa
msvlelobas, maSin / vazrovnebT / vocnebobT
(d) ki ar vmsjelobT / aramed uneburad gvitacebs warmodgenaTa da azrTa
msvleloba, maSin / vocnebobT / vazrovnebT
13
37. qveynis xelisufleba _____ qveynis teritoriuli mTlianobis aRdgenas,
_____ mas avtonomiuri respublikebis mxriv _____ .
(a) aqtiurad cdilobs / miuxedavad amisa, / mniSvnelovani dabrkolebebis
gadalaxva uwevs
(b) skeptikurad uyurebs / miuxedavad imisa, rom / araviTari winaaRmdegoba ar
eRobeba
(g) ver axerxebs / radganac / araviTari winaaRmdegoba ar eRobeba
(d) imediT Sehyurebs / radganac / mniSvnelovani dabrkolebebis gadalaxva
mouwevs
logika
am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari monacemebisa da
gamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT
SekiTxvas, romelic axlavs TiToeul davalebas da mocemuli variantebidan
airCieT Sesabamisi pasuxi.
zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva
naxazis formiT.
38. ganvixiloT debuleba: • yvelaferi, rac ar dagikargavs, gaqvs
qvemoT CamoTvlilTagan romeli ewinaaRmdegeba am debulebas, anu romeli arRvevs
mas?
(a) arsebobs raRac, rac ar dagikargavs da gaqvs, magaliTad, qudi, axla Tavze
rom gaxuravs
(b) arsebobs raRac, rac ar dagikargavs da ar gaqvs, magaliTad, avtomobili
"hameri" (g) arsebobs raRac, rac dakarge, magram mainc gaqvs, magaliTad, kalmistari,
romelic dakarge da mere ipove
(d) arsebobs raRac, rac dakarge da aRar gaqvs, magaliTad, babuis naCuqari saaTi
39. davuSvaT: • arseboben pedagogebi, romlebic warmatebiT asruleben TavianT samuSaos
• yvelas, vinc warmatebiT asrulebs Tavis samuSaos, aqvs maRali xelfasi
qvemoT CamoTvlilTagan romeli gamomdinareobs aucileblad am debulebebidan?
(a) yvela, vinc maRal xelfass iRebs, pedagogia
(b) zogierTi, vinc warmatebiT asrulebs Tavis samuSaos, ar aris pedagogi
(g) maRal xelfass mxolod is iRebs, vinc warmatebiT asrulebs Tavis samuSaos
(d) zogierTi pedagogi iRebs maRal xelfass
14
40. nikam waikiTxa Semdegi informacia:
• qalaqis ekologiuri mdgomareobis gauareseba avtomanqanebis momwamlavi
gamonabolqvis Sedegia
• avtomanqanis momwamlavi gamonabolqvi Zravis gaumarTaobis Sedegia
nikam imsjela garkveuli wesiT da am informaciis safuZvelze ucnauri daskvna
gamoitana:
avtomanqanebis Zravis gaumarTaoba qalaqis ekologiuri mdgomareobis gauresebis
Sedegia.
rogor daskvnas gamoitans nika Semdegi mtkicebebidan, Tu imsjelebs imave wesiT?
• moZraobis Seferxeba qalaqSi avtomanqanebis momravlebis Sedegia
• avtomanqanebis momravleba avtomanqanebis fasis Semcirebis Sedegia
(a) avtomanqanebis fasis Semcireba qalaqSi moZraobis Seferxebis Sedegia
(b) avtomanqanebis fasis Semcireba qalaqSi avtomanqanebis momravlebis Sedegia
(g) moZraobis Seferxeba avtomanqanebis fasis Semcirebis Sedegia
(d) avtomanqanebis momravleba qalaqSi moZraobis Seferxebis Sedegia
41. A da B kosmetikuri firmebi daaxloebiT erTnairi raodenobis (qacvisa da WinWris eqstraqtze damzadebul) Sampuns awarmoeben. A kosmetikurma firmam
gayida gacilebiT meti raodenobis WinWris Sampuni, vidre B firmam _ qacvis Sampuni.
am informaciis safuZvelze erT-erTi maRaziis mepatronem ivarauda, rom:
momxmareblebi qacvis SampunTan SedarebiT upiratesobas WinWris Sampuns aniWeben.
qvemoT moyvanili faqtebidan romeli ganamtkicebs am varauds?
(a) A firmis WinWris Sampuni ufro didi raodenobiT gaiyida, vidre B _ firmis WinWris Sampuni
(b) A firmis WinWris Sampuni gacilebiT Zviri Rirda, vidre _ B firmis qacvis Sampuni
(g) A firmam mTlianobaSi ufro meti Sampuni gayida, vidre _ B firmam (d) A firmam ufro meti qacvis Sampuni gayida, vidre _ WinWris Sampuni
15
wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT
(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi).
mecnieruli Seswavlis Sedegad ukve XIX saukunis miwuruls cnobili
gaxda, rom jgufuri moqmedebis SemTxvevaSi jgufis wevrebma SeiZleba moqmedebis
naklebi motivacia da Sromis unari gamoavlinon, vidre individualuri muSaobis
pirobebSi. am movlenas socialuri sizarmacis fenomeni uwodes.
socialuri sizarmacis ganmapirobebel faqtorTa Seswavla amJamadac iwvevs
mkvlevarTa did interess. kvlevis klasikur variantSi gamoiyeneba bagiris gadaZlevis
specialurad konstruirebuli danadgari. Tvalaxveul cdispirebs (anu eqsperimentis
monawileebs) evalebaT, bagiris gadaZlevisas rac SeiZleba meti Zalisxmeva
gamoavlinon. sagulisxmo is gaxlavT, rom rodesac cdispirebs arwmuneben, rom isini
individualurad da ara erToblivad moqmedeben, maSin maT mier gamovlenili
Zalisxmevis maCveneblebi 18 procentiT izrdeba. adamianTa saqmianobis sxvadasxva
sferoSi socialuri sizarmacis fenomeni maSin vlindeba, rodesac socialuri
jgufis wevrebi erTad saqmianoben, magram am saqmianobis Sedegebze
individualurad ar ageben pasuxs.
mecnierebi, romlebic eqsperimentulad ikvlevdnen socialuri sizarmacis
fenomens, aRniSnavdnen, rom es movlena, rigi damatebiTi faqtorebis
gaTvaliswinebiT, yovelgvar viTarebaSi rodi iCens Tavs. erT-erTi aseTi
mniSvnelovani faqtori jgufis calkeuli wevris motivaciis gazrdaa, ramac
SeiZleba gazardos mTlianad jgufis moqmedebis produqtiulobac. niCbosanTa
Sejibri amis kargi magaliTia: gana niCbosanTa ekipaJis yoveli wevri
individualurad moaspareze niCbosnebTan SedarebiT nakleb Zalisxmevas iCens?
SejibrebaSi gamarjvebis miRwevis motivacia orive SemTxvevaSi maqsimaluria.
socialuri sizarmacis Tavidan acilebis saSualebas warmoadgens saerTo
miznis miRwevaSi piradi pasuxismgeblobis gancda, jgufis yoveli wevris
pasuxismgeblobis amaRleba, rac misi moqmedebis saTanadod SefasebiT miiRweva.
gamokvlevebi gviCvenebs, rom jgufis wevrTa sxvadasxva formiT waxalisebis
SemTxvevaSi isini saqmianobaSi ufro aqtiurad erTvebian.
im socialur-fsiqologiuri meqanizmebis TvalsazrisiT, romlebic safuZvlad
udevs socialuri sizarmacis fenomens, ori Teoriuli principia sayuradRebo.
pirveli principis ("pasuxismgeblobis ganawileba") Tanaxmad, socialuri
sizarmacis movlena maSin iCens Tavs, rodesac jgufis wevrebs sjeraT, rom
jgufur saqmianobaSi maTi wvlili SeumCneveli rCeba. aseT viTarebaSi adamiani
sakuTar motivacias da, Sesabamisad, Zalisxmevas mniSvnelovnad amcirebs.
pasuxismgeblobis principi imazec migvaniSnebs, rom socialuri sizarmacis
Tavidan acileba SesaZlebelia jgufis wevrebisaTvis iseTi informaciis miwodebiT,
romlis saSualebiT yoveli maTganis individualuri wvlili saerTo saqmeSi
cnobili gaxdeba da jgufis yoveli wevri mas saTanadod Seafasebs.
meore Teoriuli midgomis ("samarTlianobis" principi) Tanaxmad, rodesac jgufis wevri Tanajgufelebisgan saerTo saqmianobaSi naklebi Zalisxmevis
gamovlenas elis, am subieqturi molodinis gamo igi rac SeiZleba naklebi
Zalisxmevis daxarjvas cdilobs. magram rodesac adamiani Tvlis, rom jgufis sxva
wevrebic saqmianobaSi maqsimalurad arian CarTulni, maSin didia albaToba imisa,
rom igi socialuri sizarmacis taqtikas aRar gamoiyenebs.
16
42. ras uwodeben socialuri sizarmacis fenomens?
(a) movlenas, romelic XIX saukunis miwuruls aRmocenda fsiqologiaSi
(b) movlenas, romelsac mecnierebi eqsperimentulad ikvlevdnen XIX saukuneSi
(g) movlenas, romlis drosac individis mier jgufuri muSaobisas gamovlenili
Zalisxmeva mxolod 18 procentiT izrdeba
(d) movlenas, romlis drosac adamiani jgufuri muSaobis pirobebSi,
individualurTan SedarebiT, nakleb Zalisxmevas iCens
43. qvemoT CamoTvlilTagan romel winadadebaSia asaxuli pirveli da meore
abzacebis urTierTmimarTeba?
(a) pirvel abzacSi dasaxelebulia adamianTa socialuri qcevis erT-erTi
kanonzomiereba, meoreSi ki miTiTebulia, romeli faqtori uwyobs xels am
kanonzomierebis realur gamovlenas
(b) pirvel abzacSi aRniSnulia, rom jgufuri moqmedeba xels uSlis jgufis
wevrTa SeTanxmebul moqmedebas, meoreSi ki es debuleba dasabuTebulia
(g) pirvel abzacSi saubaria adamianTa qcevis motivaciis Sesaxeb, meoreSi ki
daxasiaTebulia motivaciis saxeobebi
(d) pirvel abzacSi individualuri muSaobis damaxasiaTebel niSan-Tvisebad
miCneulia socialuri sizarmace, xolo meoreSi moyvanilia am Tvalsazrisis
damadasturebeli eqsperimentuli monacemebi
44. meore abzacis mixedviT, socialuri sizarmacis fenomenma Tavi ar iCina,
rodesac:
(a) cdispirebma daijeres, rom isini damoukideblad moqmedebdnen
(b) cdispirebs, romlebic bagiris gadaZlevas erToblivad cdilobdnen, Tvalebi
auxvies
(g) cdispirebs mosTxoves, rac SeiZleba meti ZalisxmeviT gadaeZliaT bagiri
(d) cdispirTa mier gamovlenili Zalisxmevis maCveneblebi mniSvnelovnad Semcirda
45. SejibrSi monawile niCbosanTa ekipaJis (III abzaci) magaliTis safuZvelze
SeiZleba davaskvnaT:
(a) individualurad moaspareze niCbosnebTan SedarebiT, ekipaJis wevrebi
erToblivi moqmedebisas nakleb Zalisxmevas iCenen
(b) individualurad moaspareze niCbosnebisagan gansxvavebiT, ekipaJis yoveli
wevris gamarjvebis miRwevis motivacia maqsimaluria
(g) jgufis moqmedebis produqtiuloba izrdeba, rodesac garkveul faqtorTa
zegavleniT izrdeba misi calkeuli wevrebis motivacia
(d) jgufis moqmedebis produqtiuloba maqsimaluria im SemTxvevaSi, rodesac misi
wevrebis Zalisxmeva mimarTulia gamarjvebis miRwevaze
17
46. qvemoT CamoTvlili winadadebebidan romelSi araa asaxuli socialuri
sizarmacis aRmocenebis mizezi?
(a) jgufuri muSaobisas calkeul wevrTa individualuri wvlili SeumCneveli
rCeba
(b) individualuri pasuxismgebloba mcirdeba, rodesac adamiani sxvebTan erTad
moqmedebs
(g) jgufis wevrebi erToblivi muSaobisas sxvebisgan moelian nakleb aqtivobas
(d) jgufuri saqmianobisas saTanadod fasdeba yoveli calkeuli individis
moqmedeba
47. socialuri sizarmacis Tavidan acilebis ra saSualebebia dasaxelebuli
teqstSi?
(a) samarTlianobis principis dacva jgufis wevrTa Soris pasuxismgeblobis
Tanabrad ganawilebis meSveobiT
(b) jgufis wevrTa maqsimalurad CarTva saqmianobaSi, maTi informaciuli
uzrunvelyofis mizniT
(g) jgufur saqmianobaSi individualuri wvlilis warmoCenis gziT jgufis
calkeul wevrTa piradi pasuxismgeblobis amaRleba da maTi motivaciis
gazrda
(d) jgufis wevrTa motivaciis maqsimumamde gazrda da jgufis produqtiulobis
donis ucvlelad SenarCuneba
48. "pasuxismgeblobis ganawilebis" da "samarTlianobis" principis urTierTSedarebis safuZvelze SeiZleba iTqvas, rom:
(a) "pasuxismgeblobis ganawilebis" principis Tanaxmad, jgufis esa Tu is wevri saTanadod ver afasebs sxvaTa wvlils, "samarTlianobis" principis Tanaxmad ki, jgufis ama Tu im wevris wvlili SeumCneveli rCeba sxvaTaTvis
(b) "samarTlianobis" principisagan gansxvavebiT, "pasuxismgeblobis ganawilebis" principis Tanaxmad, jgufuri saqmianobisas individualuri Zalisxmeva mcirdeba
(g) miuxedavad imisa, rom orive Teoriuli principi erTnairad ganmartavs
socialuri sizarmacis fenomens, am fenomenis Tavidan acilebis maT mier
SemoTavazebuli meqanizmebi gansxvavdeba efeqturobis TvalsazrisiT
(d) orive Teoriuli principi exeba jgufis wevrTa subieqtur molodins, Tumca
erT SemTxvevaSi es molodini jgufSi sakuTar saqmianobas ukavSirdeba,
meoreSi ki _ jgufis sxva wevrebisas
18
49. qvemoT CamoTvlil winadadebaTagan romelia marTebuli, teqstis mixedviT?
(a) teqstSi moyvanilia rogorc eqsperimentuli kvlevis magaliTi, aseve _
cxovrebiseuli situaciis nimuSi da Teoriuli mosazrebebi
(b) teqstSi moyvanilia eqsperimentuli kvlevis magaliTebi, xolo Teoriuli
principebi araa ganxiluli
(g) teqstSi warmodgenilia ramdenime Teoriuli principi, Tumca araa aRwerili
eqsperimentuli kvlevebi da cxovrebiseuli situaciebi
(d) teqstSi gaanalizebulia cxovrebiseul situaciaTa magaliTebi, Tumca
Teoriuli mosazrebebi araa ganxiluli
50. teqstis ZiriTadi daniSnulebaa:
(a) socialuri sizarmacis fenomenis Tavidan acilebis meqanizmTa
urTierTSejereba
(b) socialuri sizarmacis fenomenis eqsperimentuli Seswavlis SedegTa Sejameba
(g) socialuri sizarmacis ganmapirobebel faqtorTa aRwera
(d) socialuri sizarmacis fenomenis daxasiaTeba
19
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:
10. samkuTxedi: • samkuTxedis kuTxeebis sidideTa
jami 180°-is tolia. • piTagoras Teorema:
marTkuTxa samkuTxedis
hipotenuzis sigrZis
kvadrati tolia kaTetebis
sigrZeTa kvadratebis jamis:
AB2 = AC2 + BC2 (ix. naxazi).
• samkuTxedis farTobi
samkuTxedis gverdis sigrZisa da Sesabamisi
simaRlis namravlis naxevaris toli .
11. oTxkuTxedi: • oTxkuTxedis kuTxeebis sidideTa
jamia 360°. • marTkuTxedis farTobi misi sigrZisa
da siganis namravlis tolia: S = ab. • paralelogramis farTobi misi
gverdis sigrZisa da am gverdis Sesabamisi
simaRlis namravlis tolia: S = ah.
12. 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.
13. marTkuTxa paralelepipedi: • marTkuTxa paralelepipedis
moculoba misi sigrZis, siganisa da
simaRlis namravlis tolia: V = abc; • kubis SemTxvevaSi: a = b = c.
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
siCqare =manZili
6. saSualo ariTmetikuli:
raodenoba monacemTa
jami monacemTasaSualo monacemTa =
7. Semoklebuli gamravlebis formulebi: (a+b)2 = a2 + 2ab + b2;
(a - b)2 = a2 – 2ab + b2;
(a + b)(a – b) = a2 – b2 . 8. naxazze kuTxe SeiZleba kuTxis gverdebs Soris
Casmuli patara rkaliT
iyos moniSnuli, marTi
kuTxe ki _ patara
kvadratiT.
Canaweri: ∠A aRniSnavs A kuTxis sidides.
9. paraleluri wrfeebi: • ori paraleluri
wrfis mesame wrfiT
gadakveTisas Siga jvaredina
kuTxeebi tolia: α = β.
21
raodenobrivi Sedareba
SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi. Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
51.
(a) (b) (g) (d) 74 ·( )74 −− ·
52.
(a) (b) (g) (d)54
109
53.
(a) (b) (g) (d) yx <2x 2y
54.
(a) (b) (g) (d)5,1·6,30 89,0·43
55.
ABCD marTkuTxedis BC gverdis sigrZe naklebia
CD gverdis sigrZeze.
(a) (b) (g) (d) DC gverdiTa da DB diagonaliT Sedgenili
maxvili kuTxis sidide
48°
22
56. a > 0
(a) (b) (g) (d) a3−a4−
57. 5a = –8 + 2b, b > –1
(a) (b) (g) (d)
3–a
58.
mocemulia piramida, romelsac sul 7 wvero aqvs.
(a) (b) (g) (d) am piramidis wiboebis
raodenoba 12
amocanebi
59. qvemoT mocemul gamosaxulebaTagan romlis mniSvnelobaa udidesi? (a) 7,5 – 0 + 2,5 – 0 (b) 7,5 – 0 – 2,5 – 0 (g) 7,5 · 0 + 3,5 · 0 (d) (7,5 – 0) · (3,5 · 0) (e) (7,5 – 0) · (2,5 – 0)
60. xaWapuri samad daWres, Semdeg erT-erTi naWeri daWres oTxad, am oTxi
naWridan erT-erTi ki _ isev samad.
xaWapuris ramden naWers miiRebdnen sul? (a) 5 (b) 6 (g) 7 (d) 8 (e) 9
23
61. naxevari metris meramdenedi nawilia 5 santimetri? (a) mesamedi
(b) meoTxedi
(g) mexuTedi
(d) meaTedi
(e) meocedi
62. marTkuTxedidan, romlis sigrZea 9 sm, xolo sigane _ 6 sm, CamoWrilia kvadrati, romlis gverdis sigrZea 3 sm (ix. naxazi). ramdeni kvadratuli santimetria miRebuli eqvskuTxedis farTobi?
(a) 35 (b) 36 (g) 40 (d) 42 (e) 45
monacemTa analizi
qalaqis municipalitetis davalebiT sxvadasxva wlebSi gamoikvlies, qalaqis
mosaxleobis ra nawili sargeblobs kerZo transportiT an sazogadoebrivi
transportis ama Tu im saxeobiT (aqac da SekiTxvebSic saubaria imaze, ra
saxeobis transportiT sargeblobs mosaxleoba upiratesad). cxrilSi mocemulia,
1990-1996 wlebSi qalaqis mcxovrebTa ramdeni procenti sargeblobda kerZo transportiT an sazogadoebrivi transportis Semdegi saxeobebiT: avtobusiT,
mikroavtobusiT, troleibusiT, tramvaiT Tu metropoliteniT.
sazogadoebrivi transporti
kerZo
transporti avtobusi mikroavtobusi troleibusi tramvai metropoliteni
1990 11 35 8 15 7 24 1991 10 33 8 12 7 30 1992 11 32 10 12 5 30 1993 17 28 11 15 3 26 1994 15 30 12 15 3 25 1995 14 32 12 14 2 26 1996 12 35 10 13 2 28
cxrilis mixedviT upasuxeT Semdeg 4 SekiTxvas: 63. qalaqis mcxovrebTa ramdeni procenti mgzavrobda sazogadoebrivi transportiT 1995 wels?
(a) 89 (b) 86 (g) 84 (d) 81 (e) 78
24
64. romel wlebSi iyo im mcxovrebTa raodenoba, romlebic troleibusiT mgzavrobdnen, ufro naklebi, vidre maTi saerTo raodenoba, vinc
mikroavtobusiT an tramvaiT mgzavrobda? (a) 1990 da 1991 wlebSi (b) 1991 da 1992 wlebSi (g) 1992 da 1993 wlebSi (d) 1993 da 1994 wlebSi (e) 1994 da 1995 wlebSi
65. ramdenjer meti iyo im mcxovrebTa raodenoba, romlebic 1994 wels avtobusiT sargeblobdnen, maT raodenobaze, vinc imave wels kerZo transportiT
sargeblobda? (a) 1,5-jer (b) 2-jer (g) 2,5-jer (d) 3-jer (e) 3,5-jer
66. qvemoT CamoTvlilTagan romeli daskvnaa marTebuli cxrilis mixedviT?
(a) qalaqis mcxovrebTa naxevarze meti avtobusiT sargeblobs
(b) im mcxovrebTa wili, romlebic metropoliteniT sargeblobdnen, yovelwli-
urad imatebda, xolo maTi, vinc mikroavtobusiT sargeblobda _ iklebda
(g) yovel wels qalaqis mcxovrebTa ufro naklebi raodenoba sargeblobda
troleibusiT, vidre _ kerZo transportiT an tramvaiT (erTad)
(d) sazogadoebrivi transportis saxeobebidan avtobusiT an troleibusiT
(erTad) yovel wels ufro meti mcxovrebi sargeblobda, vidre _
sazogadoebrivi transportis sxva danarCeni saxeobebiT (erTad)
(e) yovel wels qalaqis mcxovrebTa ufro meti raodenoba sargeblobda
avtobusiT, vidre _ tramvaiT an metropoliteniT (erTad)
amocanebi
67. ramdeniT gadiddeba ricxvi 20649, Tu mis CanawerSi 6-ians SevcvliT 7-ianiT, xolo 9-ians SevcvliT 8-ianiT?
(a) 2-iT (b) 11-iT (g) 90-iT (d) 99-iT (e) 101-iT
25
68. Tu 4512
812
−+= xx , maSin x – 2 =
(a) 1 (b) 2 (g) 4 (d) 5 (e) 10
69. rombis erTi diagonalis sigrZea 24 sm, meoresi ki _ 10 sm. ramdeni santimetria am rombis perimetri?
(a) 36 (b) 48 (g) 52 (d) 60 (e) 68
oqtomberi
orSabaTi 5 12 19 26samSabaTi 6 13 20 27oTxSabaTi 7 14 21 28xuTSabaTi 1 8 15 22 29paraskevi 2 9 16 23 30SabaTi 3 10 17 24 31kvira 4 11 18 25
70. giorgi 25 seqtembers Teqvsmeti wlisa gaxda. kviris romel dRes Seusrulda
giorgis Teqvsmeti weli (naxazze mocemulia
momdevno Tvis kalendari)?
(a) orSabaTs
(b) samSabaTs
(g) oTxSabaTs
(d) xuTSabaTs
(e) paraskevs
71. ricxvebidan: 12, 20, 21, 30 da 32 SearCieT iseTi ricxvi, romelze 4-iT meti ricxvi naturaluri ricxvis kvadratia da romelze 5-iT naklebi ricxvic agreTve naturaluri ricxvis kvadratia.
(a) 12 (b) 20 (g) 21 (d) 30 (e) 32
26
72. ori qalaqidan erTmaneTis Sesaxvedrad ori avtomobili gamovida. pirveli avtomobilis siCqarea 80 km/sT, xolo meoresi _ 70 km/sT. avtomobilebi Tanabari siCqariT, Seuferxeblad moZraobdnen, maT Soris manZili TandaTan mcirdeboda da
moZraobis dawyebidan 2 saaTis Semdeg 120 km-is toli gaxda. ramdeni kilometria saavtomobilo gzis sigrZe am qalaqebs Soris?
(a) 150 (b) 270 (g) 300 (d) 350 (e) 420
73. saerTo wveros mqone marTkuTxedisa da tolgverda samkuTxedis gverdebiT Sedgenili kuTxeebidan ori
maTgani β-s tolia (ix. naxazi). ramdeni gradusia β kuTxis sidide?
(a) 95° (b) 100° (g) 105° (d) 110° (e) 115°
74. banki yovel klients Tvis bolos Setanili Tanxis erTsa da imave nawils _ sabanko procents _ uxdis. vaJam bankSi 5000 lari Seitana, laSam ki _ 7500 lari. Tvis bolos vaJam Tavisi Senatanidan 40 lari miiRo. ramden lars miiRebda Tvis bolos laSa Tavisi Senatanidan?
(a) 45 (b) 50 (g) 55 (d) 60 (e) 65
75. rgolebSi iseTi ricxvebia Cawerili, rom patara rgolSi Cawerili ricxvebis jami 2-iT metia did rgolSi Cawerili ricxvebis jamze
(ix. naxazi). risi tolia a ? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8
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raodenobrivi Sedareba
SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi. Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
76.
wriul diagramebze miTiTebulia, A da B qala-qebis mcxovrebTa ramden procents Seadgenen
bavSvebi, axalgazrdebi, Suaxnis adamianebi da
moxucebi.
(a) (b) (g) (d)
77.
kolofSi sul 30 fanqaria.
feradia, xolo feradi fanq
l
78.
mimdevrobis yoveli wevri mis
3-iT naklebia. b am mimdevrobis me-8 wevria,
bc −
A qalaqSi mcxovreb bavSvTa raodenoba
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B qalaqSi mcxovreb
bavSvTa raodenoba
fanqrebis 54 nawili
rebis 43 nawili _ (a) (b) (g) (d)
18
urji.
am kolofSi lurji
fanqrebis raodenoba
momdevno wevrze
c _ me-18 wevri.
(a) (b) (g) (d)
30
79.
tolujredebian badeze,
romlis TiToeuli ujredis
sigrZec da siganec 1 sm-is tolia, gamuqebulia oTxkuT-
xedi. misi wveroebi badis
kvanZebSi mdebareobs (ix. naxazi).
(a) (b) (g) (d)
24 kv. sm am oTxkuTxedis farTobi
80.
maRaziaSi erT dRes mxolod 4-lariani da 9-lari-ani kalkulatorebi gaiyida, sul _ 100 laris
Rirebulebisa.
(a) (b) (g) d)
am dRes gayiduli
kalkulatorebis
saerTo raodenoba
14
81.
x da y nebismieri ricxvebia. Tu yx ≠ , maSin yx ∗aRniSnavs am ricxvebs Soris udidess, xolo Tu
yx = , maSin xyx =∗ .
(a) (b) (g) (d)
( ) ( ( ) 7∗+ yx)34 ∗+∗ yx
82.
wrewirze mdebare A da B wertilebis SemaerTebeli monakveTis sigrZea a.
(a) (b) (g) (d) am wrewiris sigrZe a2
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amocanebi
83. gamyidvels mxolod 200-gramiani da 500-gramiani sawonebi aqvs, romelTa
saerTo wona 9 kilogrami da 600 gramia. 200-gramiani sawonebis raodenoba
orjer naklebia 500-gramiani sawonebis raodenobaze. sul ramdeni cali 500-gramiani sawoni aqvs gamyidvels?
(a) 12 (b) 14 (g) 16 (d) 18 (e) 20
84. sibrtyeze mocemulia marTkuTxa koordinat-Ta sistema. am sibrtyeze mdebare CD monakveTi E wertiliT or tol nawilad iyofa. C da E wertilebis koordinatebi miTiTebulia naxazze.
D wertilis koordinatebi (m; n) = (a) (6; –1) (b) (8; 4) (g) (10; 2) (d) (9; 5) (e) (9; 4)
85. TafliT savse qila 900 grams iwonida. mas Semdeg, rac am qilidan Taflis meoTxedi nawili amoiRes, Tafliani qilis wona 750 grami gaxda. ramdeni grami yofila carieli qilis wona?
(a) 150 (b) 200 (g) 250 (d) 300 (e) 350
86. fermis patronma saqonlisaTvis garkveuli raodenobis sakvebi moimaraga. yoveldRiurad erTi da imave raodenobis sakvebi ixarjeboda. sakvebis xarjvis
dawyebidan 40 dRis Semdeg darCa 4000 kilogrami sakvebi, 60 dRis Semdeg ki _ 3000 kg. ramdeni kilogrami sakvebi hqonia fermis patrons momaragebuli?
(a) 9000 (b) 8000 (g) 7000 (d) 6000 (e) 5000
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monacemTa analizi
cnobilia, rom adamianis fiziologiur sistemaTa umravlesobis qmediTunarianoba
maqsimums, anu 100%-s maSin aRwevs, roca adamiani 20 wlisaa. diagramaze
warmodgenilia, Tu rogor icvleba saSualod adamianis gulsisxlZarRvTa da
kunTovani sistemebis qmediTunarianoba procentulad 20-dan 80 wlamde asakSi.
mocemuli diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas: 87. ramden procents Seadgens adamianis kunTovani sistemis qmediTunarianoba 70 wlis asakSi? (a) 50% (b) 55% (g) 60% (d) 65% (e) 70%
88. ramdenjeraa Semcirebuli gulsisxlZarRvTa sistemis qmediTunarianoba 75 wlis asakSi, 35 wlis asakTan SedarebiT? (a) 1,5-jer (b) 2-jer (g) 2,5-jer (d) 2,8-jer (e) 3-jer 89. qvemoT CamoTvlili asakobrivi Sualedebidan romelSi mcirdeba kunTovani sistemis qmediTunarianoba ufro naklebad, vidre _ gulsisxlZarRvTa sistemisa? (a) 60-80 (b) 50-70 (g) 40-60 (d) 30-50 (e) 20-40
31
90. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli diagramis mixedviT? (a) 40-dan 80-wlamde asakSi adamianis rogorc kunTovani, aseve _ gulsisxl-
ZarRvTa sistemis qmediTunarianoba ar icvleba
(b) 20-dan 50-wlamde asakSi adamianis gulsisxlZarRvTa sistemis qmediTunarianoba xan imatebs, xan _ iklebs
(g) 70-dan 80-wlamde asakSi adamianis gulsisxlZarRvTa sistemis qmediTunarianoba ufro metad mcirdeba, vidre _ kunTovani sistemisa
(d) 30-dan 70-wlamde asakSi adamianis gulsisxlZarRvTa sistemisa da kunTovani sistemis qmediTunarianoba erTnairad icvleba
(e) 50-dan 60-wlamde asakSi adamianis kunTovani sistemis qmediTunarianoba ufro metad mcirdeba, vidre _ gulsisxlZarRvTa sistemisa
amocanebi
91. ricxvis 3-ze gayofisas miRebuli naSTi 1-is tolia. qvemoT CamoTvlilTagan romlis toli ar SeiZleba iyos naSTi am ricxvis 15-ze gayofisas?
(a) 1 (b) 4 (g) 6 (d) 10 (e) 13
92. vaxtangi firmaSi sxvadasxva samuSaos asrulebs. SabaTobiT is 15 lars gamoimuSavebs, kviraobiT 20 lars, sxva dReebSi ki _ 10 lars. minimum ramden lars aiRebs vaxtangi 17 dRis zedized muSaobis Sedegad?
(a) 195 (b) 200 (g) 205 (d) 210 (e) 215
93. marTkuTxedi dayofilia oTx marTkuTxedad, romelTagan erTis farTobi 8 sm2
-ia, meoris _ 20 sm2,
mesamisa ki _ 60 sm2 (ix. naxazi). ramdeni kvadratuli
santimetria meoTxe marTkuTxedis farTobi? (a) 20 (b) 24 (g) 28 (d) 32 (e) 48
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94. qalaqis mcxovrebTa nawilma icis mxolod qarTuli ena, nawilma _ mxolod rusuli, xolo danarCenma _ qarTulic da rusulic. qarTuli ena icis am
qalaqis mcxovrebTa 83%-ma, qarTulic da rusulic _ 44%-ma. am qalaqis
mcxovrebTa ramdenma procentma icis rusuli ena? (a) 27%
(b) 56%
(g) 61%
(d) 63%
(e) 72%
95. a luwi ricxvia, b ki _ 5-is jeradi kenti ricxvi. Semdegi gamosaxulebebidan romlis mniSvnelobaa 10-is jeradi?
(a) a + b (b) 5a + 5b (g) 10(a + 2) + b (d) b(5 + a) (e) a(5 + b)
96. gias erTnairi xis kubebi hqonda, ramdenime maTgani man Suaze gaxerxa. am naxevrebisa da kubebisagan giam saxlisma-
gvari sxeuli aawyo (ix. naxazi), ise, rom araferi darCenia.
sul ramdeni kubi hqonia gias Tavdapirvelad? (a) 18 (b) 20 (g) 22 (d) 24 (e) 26
97. nikas erTnairi kubebi da erTnairi burTebi aqvs. 7 kubi da 2 burTi imdenives iwonis, ramdensac 4 kubi da 6 burTi. ramdeni burTis wona eqneba 12 kubs erTad?
(a) 12 (b) 13 (g) 14 (d) 15 (e) 16
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98. papam baRidan 6 sazamTro amoitana. maTgan 4 sazamTro iseTia, rom TiToeulis wona 5 kg-ze metia da 8 kg-ze naklebi, 2 sazamTro ki iseTia, rom TiToeulis wona 10 kg-ze metia da 15 kg-ze naklebi.
CamoTvlilTagan romeli SeiZleba iyos am sazamTroebis saSualo wona? (a) 6 kg (b) 9 kg (g) 11 kg (d) 13 kg (e) 14 kg
99. gadiddeba Tu Semcirdeba ori ricxvis namravlis mniSvneloba da ramdenjer,
Tu pirvel Tanamamravls gavadidebT misive 32 nawiliT, xolo meore Tanamamravls
SevamcirebT misive 32 nawiliT?
(a) Semcirdeba 59-jer
(b) Semcirdeba 49-jer
(g) gadiddeba 59-jer
(d) gadiddeba 49-jer
(e) ar Seicvleba
100. monakveTebidan, romelTa sigrZeebia 2 sm, 3 sm, 4 sm, 15 sm, 16 sm da 18 sm, unda airCes romelime sami da daixazos iseTi samkuTxedi, romlis gverdebi
arCeuli monakveTebis toli iqneba.
sul ramdeni aseTi erTmaneTis aratoli samkuTxedis daxazvaa SesaZlebeli? (a) 2 (b) 4 (g) 6 (d) 8 (e) 10
34