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Matematika attestatsiya №4

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Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 18

B) 22

C) 25

D) 20

2 / 40

bo‘lsa, y = ?

A) 2

B) 26

C) 8

D) 3

3 / 40

tengsizlikni yeching.

A) x∈(-5;1)

B) x∈(-3;1)

C) x∈(-∞;5)∪(-3;1)

D) x∈(-∞;5)

4 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 30

B) 12

C) 18

D) 24

5 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 2

C) 3

D) 1

6 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (0; ∞)

B) (-1; ∞)

C) (-2; ∞)

D) [-1; ∞)

7 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/4

B) 4

C) 1/5

D) 1/3

8 / 40

Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 1

B) 3

C) 2

D) 4

9 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 4

B) 3

C) 1

D) 2

10 / 40

Hisoblang:

A) 4

B) 9

C) 27

D) 7

11 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUB

B) 1-EKUB 2-EKUK 3-EKUK

C) 1-EKUB 2-EKUB 3-EKUK

D) 1-EKUB 2-EKUK 3-EKUB

12 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 2

B) 4

C) 1

D) 3

13 / 40

x ni toping ?

A) 4

B) 3

C) 6

D) 5

14 / 40

Quyida berilgan holatda stol va uni atrofida qo’yiladigan stullarning holati berilgan va raqamlangan k-holatda stullarning raqamlari yig`indisi 351 taga teng bo`lsa, k ni toping ?

A) 10

B) 13

C) 12

D) 11

15 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) 0

C) -2

D) -1

16 / 40

Tenglamani yeching:

A) 5/9

B) 9/5

C) 5*4

D) 6/5

17 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 25

B) 35

C) 40

D) 20

18 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 12

B) 7

C) 9

D) 15

19 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) √17

B) 4

C) -√17

D) -4

20 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 4

C) 2

D) 6

21 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 1

B) 3

C) 2

D) 4

22 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (4-m)/4

C) (m+4)/4

D) (m+1)/2

23 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 48

B) 64

C) 16

D) 32

24 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 5050

B) 600

C) 3600

D) 4800

25 / 40

ni hisoblang.

A) 0

B) 1

C) 3

D) 2

26 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 8

B) 9

C) 10

D) 6

27 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 4

C) 1

D) 2

28 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 1

B) 8

C) 5

D) 0

29 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 4

C) 3

D) 2

30 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 120

B) 90

C) 100

D) 80

31 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 2

B) 3

C) 4

D) 1

32 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 50

B) 25

C) 32

D) 41

33 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) dastlab kamayadi, keyin o‘sadi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy o‘suvchi

34 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 1

B) 4

C) 3

D) 2

35 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 8/15

B) 1/2

C) 1/3

D) 5/6

36 / 40

Hisoblang:

A) 6

B) 0

C) 8

D) 4

37 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 8

B) berilganlar yetarli emas

C) 6

D) 10

38 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 40

B) 28

C) 52

D) 48

39 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 72π

B) 192π

C) 144π

D) 96π

40 / 40

To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 7°

B) 17°

C) 14°

D) 24°