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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

y= $\sqrt{2x^{2}-4x}$ funksiyaning aniqlanish sohasini toping

A) (-∞;0])v[2;∞)

B) (0,2)

C) (2;∞)

D) (-∞;0)v(2;∞)

2 / 30

O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

A) 5/24

B) 5/720

C) 6/720

D) 1/60

3 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4680

B) 4760

C) 4720

D) 4716

4 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) o’zaro kesishadi

B) o’zaro perpendikulyar

C) o’zaro parallel

D) ayqash to’gri chiziqlar

5 / 30

funktsiyaning aniqlanish sohasini toping.

A) [1;2]

B) (-∞;1]v[2;∞)

C) (1;2)

D) (-∞;1)v(2;∞)

6 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [-1;1]

B) [0;cos2]

C) [cos2;1]

D) [0;1]

7 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) bunday funksiya mavjud emas

B) juft funksiya

C) toq funksiya

D) juft ham emas, toq ham emas funksiya

8 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 16

B) 4

C) 12

D) 8

9 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) 3

B) √5

C) √15

D) 2

10 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

A) 8√2π/5

B) (5√3+3)π/3

C) 64√2π/3

D) 3√2π/4

11 / 30

Tenglamani yeching. (x+2)+(x+4)+(x+6)+…+(x+100)=2800

A) 3

B) 4

C) 5

D) 7

12 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 400

B) 100

C) 375

D) 127

13 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 6900

B) 6200

C) 7000

D) 7200

14 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 67,5√3

B) 67,5

C) 48√3

D) 135√3/4

15 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6000

B) 6300

C) 6100

D) 6200

16 / 30

Ifodani soddalashtiring. [ln(ln x)-ln(log_e10)]^.log₁₀e

A) lg(lg x)

B) lg(ln x)

C) ln(ln x)

D) ln(lg x)

17 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 139/41

C) 150/41

D) 140/41

18 / 30

Soddalashtiring. (0<m<7)

A) 7

B) m

C) 7-2m

D) 2m-7

19 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 147

B) 150

C) 228

D) 231

20 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -4

B) -12

C) -10

D) -14

21 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

A) {1;2}

B) {2;4}

C) {-1;2}

D) {-1;3}

22 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) [1;6]

B) (-∞;-6]v{2}v[12;∞)

C) [-2;4]v{6}

D) [2;4]v{2}v[3;∞)

23 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 12

B) 10

C) 11

D) 9

24 / 30

Hisoblang

A) √3

B) 3√3

C) 2√3

D) 1

25 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) aniqlab bo’lmaydi

B) 2

C) 374389

D) 412967

26 / 30

sistemada xy ning qiymatini toping.

A) 80

B) 64

C) 60

D) 75

27 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 36

B) 32

C) 25

D) 30

28 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 9

B) 6

C) 10

D) 7

29 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) (-∞;1]

C) (-∞;1]v[10;∞)

D) [10;∞)

30 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 4

B) 2√5

C) 2√3

D) 3√3