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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 61

B) 59

C) 58

D) 60

2 / 40

180 gramm suvga 70 gramm tuz aralashtrildi. Hosil bo‘lgan aralashmaninmg necha foizi suvdan iborat?

A) 72

B) 78

C) 70

D) 75

3 / 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

4 / 40

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

A) 6

B) 8

C) 2

D) 4

5 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 101

C) 99

D) 100

6 / 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

7 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 4

B) 3

C) 2

D) 1

8 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √2/8

B) √3/4

C) 1/8

D) √3/8

9 / 40

Hisoblang:

A) 8

B) 4

C) 0

D) 6

10 / 40

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

A) 4

B) 2

C) 5

D) 1

11 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 10

D) 12

12 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 48

B) 32

C) 42

D) 64

13 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 2

B) 1

C) 4

D) 3

14 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 4 yoki –12

B) 5 yoki –15

C) 3 yoki –8

D) 6

15 / 40

Hisoblang:

A) 1/32

B) -1/2

C) 0

D) -√3/2

16 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 22

C) berilganlar yetarli emas

D) 121

17 / 40

Hisoblang:

A) sin10°

B) cos10°

C) 1

D) cos50°

18 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) 1

B) cd/b

C) bd/c

D) bc/d

19 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 8

B) 12

C) 10

D) 6

20 / 40

sonlarini taqqolsang.

A) b

B) c

C) c

D) a

21 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 32

C) 30

D) 24

22 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 96

B) 100

C) 25

D) 105

23 / 40

Tenglamani yeching:

A) -6

B) 5

C) 6; -5

D) -6; 5

24 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) 2√3tg50° tg70°

B) √3ctg40° tg70°

C) √3tg50° tg70°

D) 4 √3tg50° tg70°

25 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 4

C) 1

D) 2

26 / 40

√3

A) 7/3

B) 3/2

C) 21/10

D) 5/5

27 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 4√3

C) 2√3

D) 2√2

28 / 40

Hisoblang:

A) 19/20

B) 20/21

C) 9/10

D) 10/11

29 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(4)

C) 0,04

D) 0,0(2)

30 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 110

D) 116

31 / 40

Tenglamalar sistemani yeching:

A) (9; 0), (28; -1)

B) (2; 3)

C) (9; 0), (2; 7)

D) (7; 2), (28; -1)

32 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 3

C) 4

D) 2

33 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) -π/4+πk, k∈Z

B) Ø

C) π/4+πk, k∈Z

D) 0

34 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 11

B) 5

C) 10

D) 7

35 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -4

B) -3

C) -6

D) 5

36 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 4√7

B) 10

C) 6√7

D) 8

37 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 14

B) 24

C) 35

D) 23

38 / 40

tenglamaning ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

A) 8

B) -2

C) 3

D) 5

39 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 15

B) 14

C) 12

D) 13

40 / 40

ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) BD = BC

B) AB = BC

C) BC > AD

D) DC < AD