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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 4

B) 12

C) 8

D) 6

2 / 30

n ning qanday qiymatida ushbu

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

A) 14

B) 10

C) 12

D) 11

3 / 30

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

A) π

B) 2π/3

C) π/2

D) 2π

4 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.

A) √3

B) 2

C) √2

D) 1

5 / 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) bunday to’gri to’rtburchak mavjud emas

B) √7

C) 2

D) √37

6 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 6,25% ga kamayadi

B) 2,5% ga ortadi

C) 6,25% ga ortadi

D) o‘zgarmaydi

7 / 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) 50

B) 150

C) 60

D) 225

8 / 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

9 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (-∞;6])v[6;∞)

B) 6

C) (-∞;6)

D) (2;∞)

10 / 30

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

A) 6

B) -6

C) -3

D) 9

11 / 30

sistemada xy ning qiymatini toping.

A) 64

B) 80

C) 60

D) 75

12 / 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) 1/60

D) 5/720

13 / 30

integralning qiymatini toping.

A) 0

B) -π/2

C) π/2

D) π/4

14 / 30

Hisoblang.

A) 15/34

B) 17/34

C) 2/17

D) 2/34

15 / 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) 2√5

B) 3√3

C) 4

D) 2√3

16 / 30

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

A) 30

B) 20

C) 28

D) 25

17 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1]v[2;∞)

B) (-∞;1)v(2;∞)

C) (1;2)

D) [1;2]

18 / 30

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

A) √2e

B) e

C) 3e

D) 1

19 / 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

20 / 30

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

A) (-∞;0])v[2;∞)

B) (-∞;0)v(2;∞)

C) (2;∞)

D) (0,2)

21 / 30

Tengsizlikni yeching.

A) (-3;2)

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

C) (2;4)

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

22 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 7-2m

C) 2m-7

D) m

23 / 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) 32

D) 30

24 / 30

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

A) 10

B) 6

C) 7

D) 9

25 / 30

Hisoblang

A) 1/2

B) 2

C) √3

D) √3/2

26 / 30

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

A) 1,2

B) 1/6

C) 1

D) 1/2

27 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) -139/41

C) 140/41

D) 150/41

28 / 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

29 / 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) 18

B) 6

C) 12

D) 3

30 / 30

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