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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

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 59

B) 60

C) 58

D) 61

2 / 40

Berilgan sonlarning yig’indisini toping.

A) 1/4

B) 2/4

C) 3/18

D) -452/18

3 / 40

bo‘lsa, x + y ni toping.

A) 18

B) 17

C) 16

D) 20

4 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16cos3x*cos5x

B) 16sin3x*cos5x

C) 16sin3x*sin5x

D) -16cos3x*sin5x

5 / 40

Jamshid bir kunda 70,5 kgdan paxta tersa, 8460 kg paxtani necha kunda terib bo’ladi ?

A) 140 kun

B) 130 kun

C) 100 kun

D) 120 kun

6 / 40

Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar hamda yuzi 32 ga teng bo'lsa, uning diagonali uzunligini toping.

A) 6

B) 2

C) 8

D) 4

7 / 40

tenglamani yeching.

A) 5

B) 3

C) log(5/3)2

D) log(3/5)2

8 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,9 m yoki 90 cm

B) 0,6 m yoki 60 cm

C) 0,7 m yoki 70 cm

D) 0,5 m yoki 50 cm

9 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) 2√5

C) 5

D) √5+5

10 / 40

Tengsizlikni yeching.

A) [-3;-2]

B) [-2;1]∪{-3}

C) (-∞;-2]

D) [-3;2]∪{1}

11 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 2

B) 1

C) 3

D) 4

12 / 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

13 / 40

Soddalshtiring.

A) -1

B) 2

C) 1

D) 6

14 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 2

B) 1

C) 3

D) 4

15 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 11

B) 14

C) 13

D) 12

16 / 40

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

A) 600

B) 4800

C) 5050

D) 3600

17 / 40

Hisoblang:

A) 6

B) 0

C) 8

D) 4

18 / 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) 80

B) 90

C) 120

D) 100

19 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 30

B) 10

C) 25

D) 0

20 / 40

Yig‘indini toping.

A) 1/6

B) 1/12

C) 1/9

D) 1/4

21 / 40

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

A) -4

B) -√17

C) 4

D) √17

22 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √2/8

B) 1/8

C) √3/8

D) √3/4

23 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 4

C) 3

D) 1

24 / 40

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

A) 32

B) 48

C) 16

D) 64

25 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) √3R(2-√3)

B) 1,5R

C) R(√3-√2)

D) 3R

26 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+4)/4

B) (4-m)/4

C) 2/m

D) (m+1)/2

27 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,216

B) 0,288

C) 0,432

D) 0,144

28 / 40

Tenglamani yeching:

A) 5/9

B) 5*4

C) 9/5

D) 6/5

29 / 40

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

A) 192π

B) 72π

C) 96π

D) 144π

30 / 40

Integralni hisoblang:

A) 3

B) 1

C) 4

D) 2

31 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 4

B) 2

C) 5

D) 1

32 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 10

B) 8

C) 6

D) berilganlar yetarli emas

33 / 40

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

A) 8

B) 9

C) 10

D) 6

34 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 28

C) 40

D) 48

35 / 40

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

A) 3

B) 1

C) 2

D) 4

36 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 8√3

B) 6√5

C) 9√5

D) 12√3

37 / 40

ni hisoblang.

A) 2

B) 3

C) 0

D) 1

38 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) [-3;2]

C) (-∞;0)∪(0;∞)

D) x∈R

39 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 9

B) 5

C) 0

D) 1

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) 14°

B) 24°

C) 17°

D) 7°