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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

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

A) 100 kun

B) 130 kun

C) 140 kun

D) 120 kun

2 / 40

funksiyaning eng kichik musbat davrini toping.

A) 24

B) 12

C) 18

D) 26

3 / 40

bo‘lsa, ning qiymatini toping.

A) 2

B) 0,7

C) 1

D) 0,5

4 / 40

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 3

B) 4

C) 1

D) 2

5 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 2

B) 1

C) 3

D) 4

6 / 40

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

A) 67/15

B) 31/85

C) 11/5

D) 68/15

7 / 40

Tengsizlikni yeching.

A) [-2;1]∪{-3}

B) [-3;2]∪{1}

C) [-3;-2]

D) (-∞;-2]

8 / 40

a va b musbat sonlari uchun a^lnb·b^lna+a^lnb+b^lnabo'lsa, (lna)·(lnb)=?

A) ln3

B) ln4

C) ln5

D) ln2

9 / 40

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 46

B) 40

C) 44

D) 50

10 / 40

Aniq integralni hisoblang:

A) 0,5

B) 3

C) 0

D) 2

11 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 10°

B) 20°

C) 30°

D) 40°

12 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 7

B) 9

C) 8

D) 6

13 / 40

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

A) 13

B) 14

C) 12

D) 11

14 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 12

B) 5

C) 7

D) 1

15 / 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) 11π

B) (32π)/3

C) (29π)/3

D) (28π)/3

16 / 40

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

A) 0,432

B) 0,288

C) 0,144

D) 0,216

17 / 40

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

A) 135°

B) 132°

C) 138°

D) 142°

18 / 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) 35

B) 20

C) 25

D) 40

19 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √3/4

C) √3/8

D) √2/8

20 / 40

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

A) 1/2

B) 5/6

C) 8/15

D) 1/3

21 / 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) 100

C) 90

D) 80

22 / 40

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

A) 4

B) 2

C) 3

D) 1

23 / 40

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

A) 600

B) 3600

C) 4800

D) 5050

24 / 40

Tenglamani yeching:

A) 9/5

B) 5/9

C) 5*4

D) 6/5

25 / 40

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

A) 4

B) √17

C) -√17

D) -4

26 / 40

Agar bo‘lsa, m/n ni toping.

A) 3

B) 2

C) 4

D) (1+√5)/2

27 / 40

Hisoblang:

A) 4

B) 8

C) 6

D) 0

28 / 40

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

A) 32

B) 16

C) 48

D) 64

29 / 40

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

A) 3

B) 2

C) 1

D) 4

30 / 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) 7

B) 12

C) 15

D) 9

31 / 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

32 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+4)/4

B) 2/m

C) (4-m)/4

D) (m+1)/2

33 / 40

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

A) 8

B) 10

C) 6

D) 9

34 / 40

Yig‘indini toping.

A) 1/6

B) 1/9

C) 1/4

D) 1/12

35 / 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

36 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 2

C) 6

D) 4

37 / 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) 14°

C) 17°

D) 24°

38 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 8

B) 10

C) berilganlar yetarli emas

D) 6

39 / 40

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

A) 9

B) 5

C) 0

D) 1

40 / 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) 6√5

B) 8√3

C) 9√5

D) 12√3