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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

A) 3

B) 5

C) 1

D) 2

2 / 30

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

A) 6100

B) 6200

C) 6300

D) 6000

3 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 4

C) 2

D) 3

4 / 30

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

A) abc

B) ab

C) ab/c

D) 1

5 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 10

B) 50

C) 2 yoki 50

D) 10 yoki 50

6 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) 139/41

C) -139/41

D) 140/41

7 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 1

B) 0

C) 2

D) cheksiz ko’p

8 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 4

B) √2

C) 2√2

D) 2

9 / 30

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

A) o’zaro parallel

B) ayqash to’gri chiziqlar

C) o’zaro perpendikulyar

D) o’zaro kesishadi

10 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (–4;3)

C) (4;3)

D) (4;–3)

11 / 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) 6/720

B) 5/24

C) 5/720

D) 1/60

12 / 30

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

A) e⁴⁹⁵⁰

B) e⁻⁴⁹⁵⁰

C) e⁵⁰⁵⁰

D) e⁻⁵⁰⁵⁰

13 / 30

Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

A) 4

B) 5

C) 10

D) 6

14 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5, 6 ga teng bo’lsa, u holda AB tomon uzunligini toping.

A) √37

B) 2

C) √7

D) bunday to’gri to’rtburchak mavjud emas

15 / 30

A) 1

B) 0

C) √6

D) 2

16 / 30

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

A) 42

B) 36

C) 32

D) 38

17 / 30

ifodaning qiymatini toping.

A) -2

B) 0

C) -0,5

D) 0,5

18 / 30

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

A) e

B) 3e

C) √2e

D) 1

19 / 30

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

A) (2;∞)

B) (-∞;0])v[2;∞)

C) (0,2)

D) (-∞;0)v(2;∞)

20 / 30

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

A) lg(ln x)

B) lg(lg x)

C) ln(ln x)

D) ln(lg x)

21 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 3π/4

B) 4π/3

C) 3π/2

D) 2π/3

22 / 30

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

A) 25

B) 20

C) 28

D) 30

23 / 30

Quyidagi 2x-y+3z=2018 va x+5y+z=2019 tekisliklarning holatini aniqlang.

A) ayqash

B) o’zaro perpendikulyar

C) o’zaro parallel

D) aniqlab bo’lmaydi

24 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) ⁴ᴷ⁺³√-√2k+1

B) ²ᴷ⁺⁴v2k+1/k²+1

C) (512-1/2⁻⁹)°

D) 4k+1/1/8:7-1/56

25 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (-4;2)v(2;3)

C) (-3;2)v(2;4)

D) (2;4)

26 / 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) 8

B) 4

C) 16

D) 12

27 / 30

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

A) 20

B) 24

C) 32

D) 16

28 / 30

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

A) 12

B) 8

C) 4

D) 6

29 / 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) 25

C) 30

D) 32

30 / 30

Tengsizlikni yeching.