jafarisbarov/TUMLU-mini huggingface dataset:
Subject: Biology
Question: Ikkita ko‘zning qorachiqlari bir vaqtda kengayib torayishi sabablari soni to‘g‘ri berilgan javobni belgilang1. ko‘rish nervi miyaning pastki qisida kesishadi;2. nerv tolalari oraliq miayaning talmus qismiga boradi;3. nerv tolalari o‘rta miyaning to‘rtta tepalik nerv markaziga boradi;4. o‘ng ko‘zning ko‘rish nervi miyaning chap tomoniga boradi;5. chap ko‘zning ko‘rish nervi miyaning chap tomoniga boradi;6. ko‘z qorachig‘i qorong‘uda torayadi;7. ko‘z qorachig‘i yorug‘da torayadi
Options:
3 ta
4 ta
2 ta
1 ta
Answer: B
Subject: Biology
Question: O‘simliklarni o‘xshash belgilari quydagi nechta javobda to‘g‘ri berilgan?1. soxta kashtan bargini shakli bilan chinor o‘simligi bargiga o‘xshash;2. do‘lana shakli o‘zgargan yer ostki novdasi borligi bilan bodringga o‘xshash;3. shirinmiya ildiz bachkisidan ko‘payishi bilan na’matakk o‘xshash;4. bug‘doy namlik ko‘p muhitda o‘sishi bilan olmaga o‘xshash;5. qurttana mevasini qo‘zoqligi bilan jag‘ jag‘ga o‘xshash;6. kungaboqar gulini qiyshiqligi bilan topimburga o‘xshash
Options:
3 ta
2 ta
4 ta
5 ta
Answer: B
Subject: Biology
Question: Qaysi suvo‘tlarda xromatofor kosachasimon (a), spiralsimon (b), belbog‘simon (s) ko‘rinishda bo‘ladi?1. xlamidamonada 2. ulotriks 3. xlorella 4. spirogyra
Options:
a-1, b-3, s-4
a-3, b-4, s-2
a-1, 3, b-2, s-4
a-3, b-2, s-1
Answer: B
Subject: Biology
Question: Meva eti quruq bo‘lgan o‘simliklarni aniqlang?1. arpa 2. qoraqat 3. lola 4. olcha 5. oq akatsiya 6. suli 7. Boychechak
Options:
1,6
1,3,5,6,7
2,4
1,3,4,5
Answer: B
Subject: Biology
Question: Barcha vakillini yer ostki qisimi ko‘p yillik yer ustki qismi esa bir yillik bo‘lgan oilaga mansub o‘simlikni aniqlang?
Options:
liftok
Suvorov
zuhrasoch
bug‘doy
Answer: B
Subject: Biology
Question: Yirtqich (a) kasalliklarning qo‘zg‘atuvchilarini tarqatuvchi (b) hasharotlarni belgilang.1) trixogramma 2) xon qizi 3) iskabtopar 4) tillako‘z 5) gabrabrakon 6) pashsha 7) inkarziya 8) ninachi
Options:
a-8,1,5; b-2,7,6
a-4,8,2; b-6,3
a-7,1,8; b-6,5
a-2,8; b-1,4,5
Answer: B
Subject: Biology
Question: Dastlabki ko‘krak qafasi paydo bo‘lgan sinfning tipik vakilidagi bo‘yin umurtqalari sonini toping?
Options:
1 ta
8 ta
7 ta
12 ta
Answer: B
Subject: Biology
Question: Ekologik piramida fitoplankton, zooplankton, baliq, tyulen va oq ayiqdan tashkil topgan. Piramida asosini tashkil qilgan fitoplankton massasining bir tonnasida 30% yog‘ borligi ma’lum bo‘lsa, oq ayiq tanasidagi oqsil va uglevodning parchalanishidan hosil bo‘lgan energiya miqdorini (kj) aniqlang?
Options:
1435
1232
287
279
Answer: B
Subject: Biology
Question: Agar egizaklar o‘rtasi tavofutlar faqat tashqi muhit sharoitiga bog‘liq bo‘lsa, bunday egizaklar … .
Options:
har xil tuxum hujayradan rivojlangan egizaklar
bir xil tuxum hujayradan rivojlangan egizaklar
har xil jinsli egizaklar
ikkita spermatazoiddan rivojlangan egizaklar
Answer: B
Subject: Biology
Question: Ituzum o‘simligining generativ o‘rganlari haqidagi to‘g‘ri ma`lumotlar qaysi javobda berilgan?1) ostgulkosachabarglarga ega; 2) ko‘sak meva hosil qiladi; 3) mevasi sharsimon, rezavor meva; 4) to‘pgul hosil qilmaydi; 5) changchilari gultojibarglarining qo‘shilishidan hosil bo‘lgan nayda o‘rnashgan; 6) gullari ikki jinsli.
Options:
1,3,6
3,5,6
2,4,6
1,2,4
Answer: B
Subject: Biology
Question: Qizilko‘z (a), qiziltikan (b) qanday organizm?
Options:
a – produtsent; b – konsument
a – konsument; b – produtsent
a – redutsent; b – konsument
a – produtsent; b – redutsent
Answer: B
Subject: Biology
Question: Antropogen suksessiya (a), klimaksli biogeotsenoz (b) atamalari uchun mos keluvchi javoblarni aniqlang.
Options:
a – inson bilan atrof muhit munosabatlarini o‘rganuvchi fan;b – bir – biri bilan almashinadiga ekosistemalar ketma ketligi
a – inson omili ta`sirida amalga oshirilgan ikkilamchi suksessiya;b – jamoa va atrof muhit bilan o‘zaro munosabat holati ta`minlangan ekosistema
a – qishloq xo‘jaligi mahsulotlarini olishda foydalaniladigan sun`iy biogeotsenozb – inson tomonidan sun`iy yaratilgan va boshqariladigan ekosistema
a – bir biogeotsenoz o‘rnini boshqa biogeotsenoz egallashi;b – biotopda yashovchi tirik organizmlar yig‘indisi
Answer: B
Subject: Biology
Question: Quyidagi jadvaldagi a va b katakchaga mos keladigan javobni aniqlang.
Options:
a – Tarpan; b – Ko‘k qoya kaptari
a – Yevropa turi; b – Bankiv tovug‘i
a – Muflon, Arxar; b – Yovvoyi o‘rdak
a – Yevropa zubri; b – Ko‘k qoya kaptari
Answer: B
Subject: Biology
Question: Quyidagi xarakterli xususiyatlar qaysi adaptive tip uchun tegishli?“mushak massasining kamligi, oyoq-qo‘llarning uzunligi, ko‘p ter ajratish, ko‘krak qafasi torligi, ter bezlarining ko‘p bo‘lishi, qonda xolesterin miqdorining kamligi”
Options:
tog‘ adaptiv tip
tropik adaptiv tip
cho‘l adaptiv tip
aktik adaptiv tip
Answer: B
Subject: Biology
Question: Quyidagi qaysi qatorda vegetativ organlar shakli o‘zgarishi noto‘g‘ri ko‘rsatilgan?
Options:
a,d
b,e
c,d
c,e
Answer: B
Subject: Biology
Question: Quyidagi qaysi jarayon lizosomalar ta`sirida sodir bo‘lmaydi??
Options:
DNK→nukleoti
sut kislota→CO2+H2O
Oqsil→Aminokislota
Glikogen→Glukoza
Answer: B
Subject: Biology
Question: Odam organizmidagi quyidagi jarayonlar qaysi gormonlar faoliyati bilan bog‘liq?a) qonda Ca ioni nazorati;b) suvning siydikdan qonga qayta so‘rilishi;c) qondagi glukoza miqdori normallashuvi.
Options:
a – adrenalin; b – paratgormon; c – insulin
a – paratgormon; b – ADG; c – insulin
a – timozin; b – tiroksin; c – adrenalin
a – tiroksin; b – ADG; b – timozin
Answer: B
Subject: Biology
Question: . Yaylov biomi uchun xos xususiyatlarni aniqlang.1) dengiz satxidan 500 – 1200 m balandlikdagi joylar; 2) havosi sovuq va doimo kuchli shamol bo‘lganligii uchun daraxt va butalari past bo‘yli bo‘ladi; 3) lalmi ekinlar ekiladi; 4) dengiz satxidan 2800 m dan baland hududlar kiradi; 5) kirpio‘t va zirako‘t kabi yostiq hosil qilib o‘suvchi o‘simliklarni uchratish mumkin; 6) o‘simliklarning ko‘pchiligi chim hosil qilib o‘sadi.
Options:
1,2,4
2,4,5
1,3,6
2,3,5
Answer: B
Subject: Maths
Question: \frac{\log_{3} 12}{\log_{36} 3} - \frac{\log_{3} 4}{\log_{108} 3} .
Options:
3
2
1
6
Answer: B
Subject: Maths
Question: Agar  \frac{5}{57} + \frac{6}{65} + \frac{7}{69} = a  bo‘lsa,  109\left(\frac{1}{57}\right) + 59\left(\frac{1}{65}\right) + 62\left(\frac{1}{69}\right)  ning qiymati qaysi variantlar bilan bir xil?
Options:
3-a
4-a
6-a
5-a
Answer: B
Subject: Maths
Question: \left\{ \begin{array}{l} \sqrt{x} = \tan\alpha \\ \sqrt{y} = \frac{1}{\cos\alpha} \end{array} \right.  da x va y ni bog‘lang.
Options:
x=y+1
y=x+1
x+y=1
xy=1
Answer: B
Subject: Maths
Question: Agar  x^2+ bx − 8 = 0  tenglamaning bir ildizi 4ga teng bo‘lsa, x^2+ (b + 2)x + b − 1 = 0  tenglamaning ildizlari ko‘paytmasini toping?
Options:
−4
−3
−2
1
Answer: B
Subject: Maths
Question: Ona yoshining ikki barobari, qiz yoshining 5 barobariga teng. Agar ona 3 yildan keyin, qiz 2 yil oldin tug‘ulgan bo‘lsa, onaning yoshi qiz yoshidan 2 barobar katta bo‘lar edi. Onaning hozirgi yoshini toping.
Options:
49
35
30
26
Answer: B
Subject: Maths
Question: Turli raqamli to‘rt xonali 5xy2 soni 3 ga ham 4 ga ham qoldiqsiz bo‘linishidan x ning nechta farqli qiymati bor
Options:
3
4
5
6
Answer: B
Subject: Maths
Question: Hisoblang. \frac{\sqrt{5+\sqrt{10}}+\sqrt{5-\sqrt{10}}}{\sqrt{5+\sqrt{15}}}-\sqrt{2}
Options:
1
0
3
\sqrt{5}
Answer: B
Subject: Maths
Question: 5x − 10 − 2 \cdot [2x + 3(x + 1)] = 9  bo‘lsa, x ning qiymatini toping.
Options:
-10
-5
5
10
Answer: B
Subject: Maths
Question: Tengsizlikni qanoatlantiruvchi butun sonlar nechta? \frac{\left(a-3 \right)\cdot a^{2}}{\left(a-5 \right)^{3}\cdot\left(a+3\right)^{4}}\leq 0
Options:
2
3
4
cheksiz ko‘p
Answer: B
Subject: Maths
Question: Soddalashtiring.   \frac{n^{4} - 13n^{2} + 36}{n^{2} + n - 6}
Options:
n - 3
n^{2} - n - 6
n^{2} - 5n + 6
2n^{2} - 5n - 8
Answer: B
Subject: Maths
Question: Tengsizlikni yeching.  (x^{2} - 5x + 6)\sqrt{x^{2} - 9x + 18} \leq 0
Options:
\left( - \infty;2 \right) \cup (3;\infty)
\left\lbrack 2;3 \right\rbrack \cup \{ 6\}
\lbrack 3;6\rbrack
\left( - \infty;5 \right) \cup (12;\infty)
Answer: B
Subject: Maths
Question: Soddalashtiring.  \left( \frac{5}{a^{2} + 2a} - \frac{4}{a - 2} \right):\frac{4a^{2} + 3a + 10}{a^{2} - 5a + 6} + \frac{2a - 1}{a^{2} + 2a}
Options:
1
\frac{1}{a}
\frac{3}{a + 2}
\frac{1}{a^{2} + 2a}
Answer: B
Subject: Maths
Question: Agar  y = \sin^{2}(\log_{5}x - 3x^{2})  funksiya berilgan boʻlsa,  y\ `(2)  ni hisoblang.
Options:
\frac{23 - 25\ln3}{2\ln3}\tg(\log_{3}2 - 25)
\frac{1 - 24\ln5}{2\ln5}\sin(\log_{5}4 - 24)
\frac{3 - 2\ln5}{\ln25}\sin(\log_{5}2 - 24)
\frac{5 - 2\log_{5}3}{23}\ctg(\log_{5}4 - 24)
Answer: B
Subject: Maths
Question: Agar  7^{a} = 5  boʻlsa,  \log_{25}343  ni  a  orqali ifodalang.
Options:
\frac{2}{3a}
\frac{1,5}{a}
\frac{a - 3}{2}
\frac{5}{3 - a}
Answer: B
Subject: Maths
Question: Tenglamani yeching.  12 \cdot \left( 25 + 1 \right)\left( 625 + 1 \right)\left( 625^{2} + 1 \right)\ldots\left( 625^{64} + 1 \right)x = 1 - 5^{512}
Options:
-4
-2
-1
0
Answer: B
Subject: Maths
Question: Hisoblang.  \arcsin\frac{2}{3} + \arccos\frac{1}{3}
Options:
\arccos\frac{\sqrt{3} + \sqrt{2}}{5}
\arcsin\frac{2(\sqrt{10} + 1)}{9}
\text{arctg}\frac{\sqrt{7} + \sqrt{2}}{3}
\text{arcctg}\sqrt{5}
Answer: B
Subject: Maths
Question: x2+2x-12+2x2+3x=3 tenglama nechta haqiqiy ildizga ega?
Options:
A) 3
B) 2
C) 1
D) 4
Answer: D
Subject: Maths
Question: Agar fx=x!x2! , x-juft sonx!x+12! , x-toq son bo‘lsa, f4+f5+f6+f7 ning qiymatini toping.
Options:
A) 120
B) 210
C) 330
D) 362
Answer: D
Subject: Maths
Question: Agar  0^o<x<90^o  bo‘lib,  \frac{1}{sinx}-\frac{1}{cosx}=1  bo‘lsa,  \sin{2x}=?
Options:
\frac{\sqrt7}{3}
\frac{\sqrt5}{3}
-\frac{\sqrt7}{3}
2\sqrt2-2
Answer: D
Subject: Maths
Question: \log{8}[\log{5}(\log{2a}-6\log{a2})]=0  bo‘lsa, a ning qiymatini toping.
Options:
4
64
64; 4
0,5; 64
Answer: D
Subject: Maths
Question: Tengsizlikni yeching.  \frac{\mathrm{x}^\mathrm{2}}{\mathrm{4}}\mathrm{\le-}\frac{\mathrm{16} }{\mathrm{4}\mathrm{x}^\mathrm{2}}
Options:
1
2
3
yechimga ega emas
Answer: D
Subject: Maths
Question: Agar {a_n} arifmetik progressiyada a_2+a_4+a_6=18 va a_3+a_5+a_7=21 bo‘lsa a_1+a_8=?
Options:
19
17
14
13
Answer: D
Subject: Maths
Question: Agar  x+2y=7  va  3y-z=5  bo‘lsa  3xy+6y^2-xz-2yz=?
Options:
5
7
21
35
Answer: D
Subject: Maths
Question: Agar $m\in N$ bo‘lsa, quyidagi keltirilganlardan qaysi biri doimo juft bo‘ladi?
Options:
$m(m+6)$
$m^{2}+18m$
$\frac{m^{2}-16}{7n+4}$
$m^{5}+13m$
Answer: D
Subject: Maths
Question: $n$ raqamining qanday qiymatlarida $7851n$ soni $9$ ga qoldiqsiz bo‘linadi?
Options:
$2$
$4$
$6$
$9$
Answer: C
Subject: Maths
Question: $(a+b+c)(ab+bc+ac)-abc$ ni ko‘paytma shaklida yozing.
Options:
$(a+b)(b+c)(a+c)$
$a^{2}+b^{2}+c^{2}$
$(a+b)(b+c)(a-c)$
$a^{2}+b^{2}-c^{2}$
Answer: A
Subject: Maths
Question: $\frac{x^{2}-2x\sqrt{3}-\sqrt[3]{4}+3}{x-\sqrt{3}}$ ifodaning $x=\sqrt{3}-\sqrt[3]{2}$ bo‘lgandagi qiymatini toping.
Options:
$\sqrt{3}$
$\sqrt[3]{2}$
$1$
$0$
Answer: D
Subject: Maths
Question: Ushbu $2x^{2}-26x+72=0$ tenglama ildizlarining o‘rta proportsiyanalini toping.
Options:
$4$
$5$
$7$
$6$
Answer: D
Subject: Maths
Question: Ushbu $1\le \frac{x+3}{4}\le 4$ tengsizlikning tub sonlardan iborat nechta yechimi bor?
Options:
$6$
$5$
$4$
$3$
Answer: A
Subject: Maths
Question: Arifmetik progressiyada $20$ ta had bor. Juft nomerli hadlar yig‘indisi $250$ ga, toq nomerli hadlarning yig‘indisi $220$ ga teng. Progressiyaning $1$-hadi va ayirmasini toping.
Options:
$-5;3$
$3;-3$
$2;7$
$-2;7$
Answer: A
Subject: Maths
Question: Arifmetik progressiyada $S_{20}-S_{19}=$ $-30$ va $d=-4$ bo‘lsa, $a_{25}$ ning qiymatini toping.
Options:
$-40$
$-50$
$-48$
$-56$
Answer: B
Subject: Maths
Question: Yo‘lovchi poyezdining $3$ soatda yurgan masofasi yuk poyezdining $4$ soatda yurgan masofasidan $10$ km ortiq. Yuk poyezdining tezligi yo‘lovchilar poyezdining tezligidan $20$ km/soat ga kam. Yuk poyezdining tezligini toping.
Options:
$40$
$45$
$48$
$50$
Answer: D
Subject: Maths
Question: $8\lt 3^{2x-3} \lt 90$ tensizlikni qanoatlantiruvchi nechta butun son mavjud?
Options:
$0$
$3$
$2$
$1$
Answer: D
Subject: Maths
Question: $tgx$ ni hisoblang. $\frac{2\sin x-\cos x}{2\cos x+\sin x}=3$
Options:
$7$
$3$
$-7$
$2$
Answer: C
Subject: Maths
Question: Keltirilgan sonlardan eng kattasini toping.
Options:
cos (\frac{\pi }{2}-\frac{1}{2})
sin(4)
cos(\frac{3\pi}{2}+\frac{1}{4})
tg\frac{\pi }{4}
Answer: D
Subject: Maths
Question: Soddalashtiring: $7x-14x+6x$
Options:
$-2x$
$2x$
$-x$
$4x$
Answer: C
Subject: Maths
Question: $1-\sin ^{6}22.5^\circ+\cos ^{6}22.5^\circ$ ni hisoblang.
Options:
$\frac{\sqrt{3}-1}{2}$
$\frac{\sqrt{6}+5}{4}$
$\frac{10+3\sqrt{2}}{8}$
$\frac{16+7\sqrt{2}}{16}$
Answer: D
Subject: Maths
Question: $12arcsin(-\frac{1}{2})/\pi $ ni hisoblang.
Options:
$0$
$-2$
$2$
$1$
Answer: B
Subject: Maths
Question: Muntazam to‘rtburchakli prizmaga silindr ichki chizilgan. Silindr hajmining prizma hajmiga nisbatini toping.
Options:
$\frac{\pi }{3}$
$\frac{\pi }{5}$
$\frac{\pi }{4}$
$\frac{2\pi }{3}$
Answer: C
Subject: Maths
Question: Ikkita oʻzaro tub sonlarning EKUBining EKUKiga koʻpaytmasi 420 ga teng. Shu sonlarning yigʻindisining eng kattasining qiymatini toping.
Options:
67
212
143
109
Answer: C
Subject: Maths
Question: Ildizli ifodani soddalashtiring.  5\sqrt{56} - 8\sqrt{1\frac{5}{9}} - 3\sqrt{14}
Options:
8\sqrt{14}
12\frac{1}{5}\sqrt{6}
3\sqrt{15}
4\frac{1}{3}\sqrt{14}
Answer: D
Subject: Maths
Question: Tengsizlikni yeching.  - 3x^{2} + 5x - 12 < 0
Options:
( - \infty;\infty)
(10;\infty)
\left( - \infty;2 \right) \cup (3;\infty)
\varnothing
Answer: A
Subject: Maths
Question: Ushbu  f\left( x \right) = 3x^{5} - 2x^{4} + 4x^{3} + 3x^{2} - 6x + 2  funksiyaning M (1;2) nuqtadan oʻtuvchi boshlangʻich funksiyani toping.
Options:
F\left( x \right) = \frac{x^{6}}{2} - \frac{2x^{5}}{5} + x^{4} + 2x^{3} - 3x^{2} + 12x + 0,7
F\left( x \right) = \frac{x^{6}}{3} - \frac{3x^{5}}{7} + 2x^{4} + 2x^{3} - 3x^{2} + 2x + 1,5
F\left( x \right) = \frac{x^{6}}{2} - \frac{2x^{5}}{5} + x^{4} + x^{3} - 3x^{2} + 2x + 0,9
F\left( x \right) = \frac{x^{5}}{7} - 3x^{4} + 8x^{3} + 3x^{2} - 8x + 2,8
Answer: C
Subject: Maths
Question: Uchburchakning burchaklari 2:3:7 kabi nisbatda. Uchburchakning eng katta tomoni  3\sqrt{2 + \sqrt{3}}  ga teng boʻlsa, eng kichik tomonni toping.
Options:
5
2\sqrt{3 - \sqrt{3}}
4
3
Answer: D
Subject: Maths
Question: To‘g‘ri burchakli uchburchakning katetlari log49 va log316 ga teng, uning yuzini toping.
Options:
3
4
5
2
Answer: D
Subject: Maths
Question: Parallelogrammning yon tomoni uning kichik diagonaliga perpendikulyar. Agar parallelogrammning kichik diagonali 4 sm ga, yuzi 12 sm2 ga teng bolsa, uning asosini toping.
Options:
6sm
7sm
5,5sm
5sm
Answer: D
Subject: Maths
Question: \left\lbrack \left( 8\frac{1}{6}-7\frac{2}{3} \right)\cdot\ \frac{1}{3}+\left( 2\frac{1}{3}+1\frac{1}{2} \right)\cdot\ \frac{2}{23} \right\rbrack\cdot 1\frac{5}{9}  ifodaning qiymati nechaga teng?
Options:
1\frac{1}{9}
1\frac{2}{7}
\frac{7}{9}
1
Answer: C
Subject: Maths
Question: \frac{(y^{2}+6y+8)(y+2)(y^{2}+6y+10)}{(y^{2}+7y+10)(y+5)}<0  tengsizlikni qanoatlantiruvchi butun sonlar yig‘indisini toping.
Options:
−3
−2
5
6
Answer: A
Subject: Maths
Question: Tenglamani yeching.  |3x + 9| − |2x + 6| = |x − 5|
Options:
3
1
−1
2
Answer: B
Subject: Maths
Question: Hisoblang:  2080 : (1222 - 26\cdot27) + 120
Options:
124
128
126
122
Answer: A
Subject: Maths
Question: Hisoblang:  81^{0,75}\cdot 32^{0,4}-8^{-\frac{2}{3}}\cdot 27^{\frac{1}{3}}
Options:
6
4
3
2
Answer: A
Subject: Maths
Question: Hisoblang:  \sqrt{2021^{2}-2020\cdot 2022}
Options:
1
2
4
3
Answer: A
Subject: Maths
Question: O‘qituvchisining oyligi 3200000 so‘m bo‘lib, undan 12 foiz daromad solig‘i olinadi. O‘qituvchi oyligidan necha so‘m pul daromad solig‘iga olinadi?
Options:
384000
348000
340000
380000
Answer: A
Subject: Maths
Question: 6 ga bo‘lganda 5 qoldiq qoladigan barcha uch xonali sonlar yig‘indisini toping.
Options:
82200
82194
82188
82182
Answer: A
Subject: Maths
Question: Soddalashtiring:  \left( \frac{1}{a+1}+b \right):\left( \frac{2b+1}{1-a}-b \right)
Options:
\frac{1-a}{1+a}
\frac{a-1}{1+a}
\frac{1-ab}{1+a}
\frac{ab-1}{1+a}
Answer: A
Subject: Maths
Question: Agar  \frac{1}{a}+\frac{1}{b}+\frac{1}{c}=6  bo‘lsa,  \frac{2a+1}{a}+\frac{4b+2}{b}-\frac{5c-3}{c}  ifodaning qiymatini toping.
Options:
7
6
8
17
Answer: A
Subject: Maths
Question: Agar  sin\alpha=-\frac{12}{13}  va  \pi\lt \alpha\lt \frac{3\pi}{2}  bo‘lsa,  tg(2\alpha+\frac{\pi}{4}))  ni hisoblang.
Options:
-\frac{1}{239}
\frac{1}{239}
\frac{120}{119}
-\frac{120}{119}
Answer: A
Subject: Maths
Question: \frac{log_{2}^{2}10+log_{2}10\cdot log_{2}5-2log_{2}^{2}5}{2log_{2}10+4log_{2}5}  ni soddalashtiring.
Options:
\frac{1}{2}
-\frac{1}{2}
\frac{3}{2}
1
Answer: A
Subject: Maths
Question: y=f(x)  funksiyaning qiymatlar sohasi (-2;12) bo‘lsa,  y=2f(x) - 4  funksiyaning qiymatlar sohasini toping.
Options:
(-8;20)
(1;8)
(-8;8)
(1;20)
Answer: A
Subject: Maths
Question: Fazoda xy tekisligiga nisbatan A(4;-5;6)nuqtaga simmetrik bo‘lgan nuqtani toping.
Options:
(4;-5;-6)
(4;5;6)
(-4;5;-6)
(-4;-5;-6)
Answer: A
Subject: Maths
Question: Aylanada 8 nuqta belgilangan. Uchlari shu nuqtalarda joylashgan ko‘pi bilan nechta to‘rtburchak yasash mumkin?
Options:
70
56
336
32
Answer: A
Subject: Maths
Question: sin20^o • sin40^o • sin80^o ni hisoblang.
Options:
\frac{1}{2}
\frac{1}{3}
\frac{1}{4}
\frac{\sqrt{3}}{8}
Answer: D
Subject: Maths
Question: Sinfda 40 ta o‘quvchi bor.Ulardan 32 tasi “Matematika” to‘garagiga, 21 tasi “Yosh rassomlar” to‘garagida shug‘ullanadi.15 ta o‘quvchi ikkalasida ham shug‘ullanadi.Qancha o‘quvchi ikkalasida ham shug‘ullanmaydi?
Options:
2
28
3
38
Answer: A
Subject: Maths
Question: Sport maktabining 3 ta seksiyasida 140 ta sportchi bor. Konkichilar chang‘ichilarning 0,4 qismini, xokkeychilar esa konkichilar va chang‘ichilar umumiy sonining 25 % ini tashkil etadi. Chang‘ichilar seksiyasida nechta sportchi bor?
Options:
80
10
32
26
Answer: A
Subject: Maths
Question: (a^2 - 2a + 1)x = a^2 + 2a - 3  tenglamada a ning qanday qiymatida cheksiz ko‘p yechimga ega?
Options:
a = -3
a = 1, a = -3
a = 1
a \neq 1
Answer: C
Subject: Maths
Question: \int (7\cos x - 6\sin x) \, dx  ni hisoblang.
Options:
-7sinx-6cosx+C
7sinx-6cosx+C
6cosx-7sinx+C
6cosx+7sinx+C
Answer: D
Subject: Maths
Question: Agar  \alpha, \beta \in (0;\frac{\pi}{2})  va  (\tan \alpha + \sqrt{3}) \cdot (\tan \beta + \sqrt{3}) = 4  bo‘lsa,   9\left(\frac{\alpha + \beta}{\pi}\right)^2  ning qiymatini toping.
Options:
0.36
0.5
0.25
0.125
Answer: C
Subject: Maths
Question: Ushbu tenglamaning ildizlari kublari ayirmasining modulini hisoblang: x^{2} - \frac{\sqrt{13}}{2}x - 5\frac{1}{3} = 0
Options:
\frac{103}{12}\sqrt{\frac{295}{12}}
\frac{105}{7}\sqrt{\frac{380}{13}}
1
\frac{125}{2}\sqrt{\frac{375}{23}}
Answer: A
Subject: Maths
Question: Agar avtomobil maʻlum masofani bosib oʻtish uchun tezligini 30% ga oshirsa, vaqt necha foizga kamayadi?
Options:
23\frac{1}{13}
30
15\frac{2}{3}
33\frac{12}{13}
Answer: A
Subject: Maths
Question: Agar  \sin 23^{0} = c  boʻlsa,  \text{tg}46^{0}  ni  c  orqali ifodalang.
Options:
\frac{2c(1 - c^{2})}{(1 - 2c^{2})\sqrt{1 - c^{2}}}
\frac{3c(1 - c^{3})}{5\sqrt{1 - c^{2}}}
\frac{1 - c^{2}}{\sqrt{1 - 2c^{2}}}
3\sqrt{2 - c^{2}}
Answer: A
Subject: Maths
Question: Tengsizlikni yeching.  3^{\frac{1}{x} + 1} + 25 \cdot 3^{\frac{1}{x}} \leq 84
Options:
\left( - \infty;0 \right) \cup \lbrack 1;\infty)
\lbrack 0;\infty)
\left( - \infty;1 \right\rbrack \cup (2;\infty)
R
Answer: A
Subject: Maths
Question: ABC uchburchakning BA va BC tomonlarida BM:MA=3:5 va BN:NC=4:2 shartlarni qanoatlantiruvchi M va N nuqtalar olingan. ABC uchburchakning yuzining MBN uchburchak yuziga nisbatini toping.
Options:
4 : 1
6 : 1
3 : 2
10 : 3
Answer: A
Subject: Maths
Question: Hisoblang.  \frac{7}{54} + \frac{7}{108} + \frac{7}{180} + \frac{7}{270} + \frac{7}{378}
Options:
\frac{3}{25}
\frac{4}{15}
\frac{7}{150}
\frac{5}{18}
Answer: D
Subject: Maths
Question: Tenglamani yeching.   \left| 8 + \left| x - 3 \right| \right| = 5
Options:
3
6
\varnothing
-2
Answer: C
Subject: Maths
Question: \sin\left( 2x + 45^{0} \right) + \cos(3x + 60^{0}) = 0  tenglamani yeching.
Options:
\frac{\pi}{6} + 2\pi k;k \in z
\frac{\pi}{10} + \frac{3\pi k}{5};\ - \frac{7\pi}{24} + 2\pi k;k \in z
\frac{11\pi}{60} + \frac{\text{πk}}{5};\ \frac{5\pi}{12} + 2\pi k;k \in z
\varnothing
Answer: C
Subject: Maths
Question: Tengsizlikni yeching.  \frac{\left| x^{2} - 13x + 36 \right|\left( e - x \right)(x^{2} - 64)}{\pi^{2} - e^{2}} \geq 0
Options:
\left\lbrack e;8 \right) \cup (9;\infty)
\left( - \infty;8 \right\rbrack \cup \{ 9\}
\left( - \infty; - 8 \right\rbrack \cup \left\lbrack e;8 \right\rbrack \cup \{ 9\}
\left\lbrack e;8 \right\rbrack \cup \{ 9\}
Answer: C
Subject: Maths
Question: | x^2+4x-3 |=15 tenglamaning haqiqiy yechimlari yig‘indisini toping.
Options:
-4
-2
-8
4
Answer: A
Subject: Maths
Question: \sqrt{x^2-4x+5}+\sqrt{x^2-4x+13}=4  tenglama nechta haqiqiy ildizga ega?
Options:
1
3
2
0
Answer: A
Subject: Maths
Question: Agar  m\in N  bo‘lsa, quyidagi keltirilganlardan qaysi biri doimo juft bo‘ladi?
Options:
m(m+6)
m^{2}+18m
\frac{m^{2}-16}{7n+4}
m^{5}+13m
Answer: D
Subject: Maths
Question: \frac{x^{2}-2x\sqrt{3}-\sqrt[3]{4}+3}{x-\sqrt{3}}  ifodaning  x=\sqrt{3}-\sqrt[3]{2}  bo‘lgandagi qiymatini toping.
Options:
\sqrt{3}
\sqrt[3]{2}
1
0
Answer: D
Subject: Maths
Question: Ushbu  2x^{2}-26x+72=0  tenglama ildizlarining o‘rta proportsiyanalini toping.
Options:
4
5
7
6
Answer: D
Subject: Maths
Question: Yo‘lovchi poyezdining  3  soatda yurgan masofasi yuk poyezdining  4  soatda yurgan masofasidan  10  km ortiq. Yuk poyezdining tezligi yo‘lovchilar poyezdining tezligidan  20  km/soat ga kam. Yuk poyezdining tezligini toping.
Options:
40
45
48
50
Answer: D
Subject: Maths
Question: 8\lt 3^{2x-3} \lt 90  tensizlikni qanoatlantiruvchi nechta butun son mavjud?
Options:
0
3
2
1
Answer: D
Subject: Maths
Question: Ushbu  y=\frac{2x}{(x^{2}+1)\ln 10}  funksiyaning boshlang‘ich funksiyasini toping.
Options:
Y=\frac{\ln(x^2+1)}{\ln10}+C
Y=lg(x+1)+C
Y=\frac{x^{2}}{(x^{2}+1)ln10}+C
Y=lg(x^{2}+1)+C
Answer: D
Subject: Maths
Question: 1-\sin ^{6}22.5^\circ+\cos ^{6}22.5^\circ  ni hisoblang.
Options:
\frac{\sqrt{3}-1}{2}
\frac{\sqrt{6}+5}{4}
\frac{10+3\sqrt{2}}{8}
\frac{16+7\sqrt{2}}{16}
Answer: D
Subject: Maths
Question: Ifodani soddalashtiring.  \frac{sin2\alpha +2sin\alpha \cdot cos2\alpha }{1+cos\alpha +cos2\alpha +cos3\alpha }
Options:
2tg\alpha
2sin\alpha
4tg\alpha
tg\alpha
Answer: D
Subject: Maths
Question: Kubning ostki asosidagi tomonlarining o‘rtalari ketma - ket tutashtirildi. Hosil bo‘lgan to‘rtburchakning uchlari kub ustki asosining markazi bilan tutashtirildi. Agar kubning qirrasi a ga teng bo‘lsa, hosil bo‘lgan piramidaning to‘la sirtini toping.
Options:
\frac{2a^{2}}{3}
3a^{2}
1.5a^{2}
2a^{2}
Answer: D
Subject: Maths
Question: f(x) = x\ln{x} + 5x^{2}  bo‘lsa, f^{′}(e) = ?
Options:
7
2+10e
5+2e
7e
Answer: B
Subject: Maths
Question: Agar  2x^{2}-(a+3)x+a+1=0  tenglamaning bir ildizi  −7  bo‘lsa, ikkinchi ildizini toping.
Options:
−1
1
2
−2
Answer: B
Subject: Maths
Question: Soddalashtiring.  (b > a > 0)  \sqrt{\frac{\sqrt{a^{3}}-\sqrt{b^{3}}}{\sqrt{a}-\sqrt{b}}+\sqrt{ab}}-\sqrt{\frac{\sqrt{a^{3}}+\sqrt{b^{3}}}{\sqrt{a}+\sqrt{b}}-\sqrt{ab}}
Options:
\sqrt{a}
2\sqrt{a}
0
2\sqrt{b}
Answer: B
Subject: Maths
Question: \ \left(\ \frac{1}{8} \cdot 4^{x} \right)^{x} -\ \frac{8^{x}}{16} = 0  tenglama ildizlarining o‘rta arifmetigini toping.
Options:
3
1, 5
2, 5
2
Answer: B
Subject: Maths
Question: ∫_{}^{}x^{2}sin x^{3}dx aniqmas integralni hisoblang.
Options:
\frac{\cos\left( x^{3} \right)}{3} + C
-\ \frac{\cos\left( x^{3} \right)}{3} + C
\frac{\sin\left( x^{3} \right)}{3} + C
- \\ \frac{\sin\left( x^{3} \right)}{3} + C
Answer: B
Subject: Maths
Question: ABC teng yonli uchburchakning BC asosida D nuqta olingan. Agar AB=AC=20, BD=21, DC= 11 bo‘lsa, AD kesma uzunligini toping.
Options:
12
13
14
10
Answer: B
Subject: Maths
Question: ABCD rombning B burchagi  120^{∘}  ga teng. AC diagonalida E nuqta olingan bo‘lib, AE:EC=3:7. Romb tomoni  10\sqrt{3}  bo‘lsa, BE kesma uzunligini toping.
Options:
11
\sqrt{111}
\sqrt{101}
13
Answer: B
Subject: Maths
Question: Tenglamani yeching.  \mathrm{x\cdot}\left(\sqrt{\frac{\mathrm{1}}{\mathrm{x}}\mathrm{-} \frac{\mathrm{1} }{\mathrm{x}^\mathrm{2}}}\right)\mathrm{=}12
Options:
\frac{3}{2}
\frac{5}{4}
\frac{9}{4}
\frac{6}{5}
Answer: B