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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

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 11

B) 12

C) 4

D) 35

2 / 40

tengsizlikni yeching.

A) x∈(-3;1)

B) x∈(-∞;5)∪(-3;1)

C) x∈(-5;1)

D) x∈(-∞;5)

3 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 60

B) 61

C) 58

D) 59

4 / 40

Qavariq oltiburchakning 3 ta uchidan kesib olsak qanday shakl hosil bo’ladi ?

A) 9

B) 12

C) 14

D) 6

5 / 40

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 25

B) 9

C) 16

D) 4

6 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 3

B) 1

C) 4

D) 2

7 / 40

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

A) 4

B) 3

C) 1

D) 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) 0,7 m yoki 70 cm

B) 0,6 m yoki 60 cm

C) 0,5 m yoki 50 cm

D) 0,9 m yoki 90 cm

9 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 96

B) 108

C) 114

D) 126

10 / 40

Usta ishning 0,75 qismini 17/4 soatda bajaradi. Shu ishning 4/5 qismini qancha vaqtda bajaradi?

A) 67/15

B) 11/5

C) 68/15

D) 31/85

11 / 40

Hisoblang:

A) 2

B) 1

C) 4

D) 3

12 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 7

C) 9

D) 6

13 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 48/5

B) 16

C) 64/5

D) 10

14 / 40

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) (29π)/3

B) (28π)/3

C) (32π)/3

D) 11π

15 / 40

Soddalashtiring.

A) (a+1)/(-a-3)

B) (a-1)/(1-b)

C) (a-1)/(a-3)

D) (b+2)/(1-b)

16 / 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

17 / 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

18 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 138°

B) 135°

C) 142°

D) 132°

19 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (4-m)/4

B) (m+4)/4

C) 2/m

D) (m+1)/2

20 / 40

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

A) 5

B) 1

C) 9

D) 0

21 / 40

ni hisoblang.

A) 0

B) 3

C) 2

D) 1

22 / 40

Hisoblang:

A) 8

B) 6

C) 0

D) 4

23 / 40

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

A) 4

B) 1

C) 5

D) 2

24 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) [-3;2]

C) (-∞;3]∪[2;∞)

D) x∈R

25 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 10

B) 8

C) berilganlar yetarli emas

D) 6

26 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) √6

B) √5

C) 2,5

D) 2,4

27 / 40

Yig‘indini toping.

A) 1/4

B) 1/12

C) 1/9

D) 1/6

28 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 6

B) 2

C) 5

D) 4

29 / 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

B) √3R(2-√3)

C) R(√3-√2)

D) 1,5R

30 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 1

B) 3

C) 4

D) 2

31 / 40

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

A) 192π

B) 96π

C) 144π

D) 72π

32 / 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) 12√3

D) 9√5

33 / 40

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

A) 10

B) 0

C) 25

D) 30

34 / 40

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

A) 32

B) 64

C) 16

D) 48

35 / 40

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

A) 41

B) 32

C) 50

D) 25

36 / 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) 15

B) 12

C) 9

D) 7

37 / 40

Tenglamani yeching:

A) 9/5

B) 6/5

C) 5*4

D) 5/9

38 / 40

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

A) 0,216

B) 0,144

C) 0,288

D) 0,432

39 / 40

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

A) 1/3

B) 8/15

C) 1/2

D) 5/6

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) 24°

C) 14°

D) 17°