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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) ab/c

B) ab

C) 1

D) abc

2 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,75

B) -1

C) -0,5

D) -0,25

3 / 30

n ning qanday qiymatida ushbu

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

A) 10

B) 14

C) 12

D) 11

4 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 2

B) 1, 2

C) 1, 3

D) 3

5 / 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) 108

C) 52√3

D) 54

6 / 30

funktsiyaning aniqlanish sohasini toping.

A) (1;2)

B) [1;2]

C) (-∞;1]v[2;∞)

D) (-∞;1)v(2;∞)

7 / 30

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

A) o’zaro perpendikulyar

B) o’zaro kesishadi

C) ayqash to’gri chiziqlar

D) o’zaro parallel

8 / 30

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

A) (0,2)

B) (-∞;0])v[2;∞)

C) (-∞;0)v(2;∞)

D) (2;∞)

9 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) 2π

B) π

C) 2π/3

D) π/2

10 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) 1; 10

C) (-∞;1]

D) [10;∞)

11 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 56π

B) 72π

C) 100π

D) 96π

12 / 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

13 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3

B) 2

C) 3,5

D) 4

14 / 30

Hisoblang:

A) 2

B) 1

C) -1

D) 3

15 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) x/25

C) 25/x

D) 2-x

16 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) 2019

B) 0

C) cheksiz ko’p

D) 1

17 / 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) 1900

B) 2100

C) 2000

D) 2200

18 / 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) 375

B) 127

C) 400

D) 100

19 / 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) √7

C) 2

D) bunday to’gri to’rtburchak mavjud emas

20 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) toq funksiya

B) juft ham emas, toq ham emas funksiya

C) bunday funksiya mavjud emas

D) juft funksiya

21 / 30

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

A) ln(lg x)

B) ln(ln x)

C) lg(ln x)

D) lg(lg x)

22 / 30

integralning qiymatini toping.

A) -π/2

B) π/4

C) π/2

D) 0

23 / 30

sistemadan x+y ning qiymatini toping.

A) 12

B) -12

C) 6

D) 35/4

24 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) teng tomonli uchburchak

B) to’gri burchakli uchburchak

C) o’tkir burchakli uchburchak

D) o’tmas burchakli uchburchak

25 / 30

Parallelogrammning yuzi 213 ga, tomonlaridan biri 7 ga va o’tkir burchagi 60⁰ ga teng bo’lsa, ikkinchi tomonini toping

A) 4

B) 5

C) 8

D) 6

26 / 30

Sin9x =4sin3x tenglamani yeching

A) πn, n€Ζ

B) π/2+πn, n€Ζ

C) π/3+πn, n€Ζ

D) πn/3, n€Ζ

27 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) -1;-6

C) ±6

D) -1;6

28 / 30

Soddalashtiring. (0<m<7)

A) 7

B) m

C) 2m-7

D) 7-2m

29 / 30

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

A) 1,5

B) √3/2

C) √5/2

D) 1

30 / 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) 8

C) 4

D) 16