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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 6/720

C) 5/720

D) 1/60

2 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 6

B) 5

C) 3

D) 4

3 / 30

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

A) 11

B) 10

C) 12

D) 9

4 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) √2e

B) 1

C) 3e

D) e

5 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) x-1/2=y-2/3=z-3/4

B) 2x+3y+z=0

C) x=y/3=z/2

D) -x-y+z=0

6 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 16

B) 20

C) 32

D) 24

7 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) 1

B) abc

C) ab/c

D) ab

8 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (4;3)

C) (3;–4)

D) (4;–3)

9 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁻⁴⁹⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁵⁰⁵⁰

D) e⁴⁹⁵⁰

10 / 30

Hisoblang.

A) 2/17

B) 15/34

C) 2/34

D) 17/34

11 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 20

B) 25

C) 30

D) 28

12 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) [10;∞)

C) (-∞;1]

D) 1; 10

13 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 60

B) 150

C) 225

D) 50

14 / 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) 30

B) 36

C) 32

D) 25

15 / 30

Bankda qo`yilgan pul bir yildan kegin foydasi bilan 2600 so`m bo`ldi; Agar bank yillik 30% foyda to`lasa, boshida qancha pul qo`yilgan bo`ladi ?

A) 2200

B) 2000

C) 2100

D) 1900

16 / 30

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

A) -4

B) -14

C) -12

D) -10

17 / 30

integralning qiymatini toping.

A) π/2

B) π/4

C) -π/2

D) 0

18 / 30

Hisoblang

A) √3

B) 3√3

C) 1

D) 2√3

19 / 30

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

A) 7000

B) 7200

C) 6200

D) 6900

20 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 1/3

B) -1/2

C) 1/2

D) 2/5

21 / 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) 150

B) 147

C) 231

D) 228

22 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?

A) 32

B) 38

C) 36

D) 42

23 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 52√3

B) 54

C) 48√3

D) 108

24 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 6

B) 8

C) 12

D) 4

25 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (∞;∞)

B) (2;∞)

C) (-∞;2)

D) (-∞;2)v(2;∞)

26 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 2√2/3

B) 3√2+2/4

C) 3√3+1/5

D) 5√3+3/3

27 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1,2

B) 1/2

C) 1/6

D) 1

28 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5