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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 3√2+2/4

B) 3√3+1/5

C) 5√3+3/3

D) 2√2/3

2 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 15

B) 12

C) 25

D) 30

3 / 30

Hisoblang.

A) 15/34

B) 17/34

C) 2/34

D) 2/17

4 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 6

B) 4

C) 7

D) 5

5 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 6

B) 18

C) 3

D) 12

6 / 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) 12

B) 16

C) 4

D) 8

7 / 30

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

A) 36

B) 38

C) 32

D) 42

8 / 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) 2

B) 412967

C) 374389

D) aniqlab bo’lmaydi

9 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 1

B) 2

C) 3

D) 0

10 / 30

Hisoblang

A) 2

B) -1

C) 0

D) 1

11 / 30

tenglamani yeching.

A) 0

B) 2018

C) 2019

D) 2017

12 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) [10;∞)

B) (-∞;1]v[10;∞)

C) 1; 10

D) (-∞;1]

13 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 100°

B) 113°

C) 112,5°

D) 113,5°

14 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x+4/x-1|+c

B) ln|x-1/x+4|+c

C) ln(|x+4+|x-1|)+c

D) ln(|x+4*|x-1|)+c

15 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) √3/2

B) 1,5

C) √5/2

D) 1

16 / 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

17 / 30

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

A) 48√3

B) 52√3

C) 108

D) 54

18 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 4

B) 2

C) 1

D) 3

19 / 30

funktsiyaning aniqlanish sohasini toping.

A) (1;2)

B) [1;2]

C) (-∞;1]v[2;∞)

D) (-∞;1)v(2;∞)

20 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 11

B) 10

C) 14

D) 12

21 / 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) 1/60

C) 5/24

D) 5/720

22 / 30

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

A) 12

B) 4

C) 6

D) 8

23 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

A) 6

B) √32

C) √37

D) 3

24 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (2;4)

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

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

25 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 18

B) 120

C) 47

D) 60

26 / 30

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

A) 1

B) ab

C) ab/c

D) abc

27 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 1

B) 5

C) 2

D) 3

28 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a≠12

B) a ning bunday qiymati yo’q

C) a≠5

D) a=12

29 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 72°

B) 30°

C) 60°

D) 90°

30 / 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) 2 yoki 50

B) 10 yoki 50

C) 10

D) 50