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Matematika attestatsiya №4

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Yanvar 21, 2022

45 Ko'rishlar 1 izoh

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

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

A) 140 kun

B) 120 kun

C) 130 kun

D) 100 kun

2 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 203

B) 289

C) 201

D) 200

3 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 7

B) 6

C) 5

D) 0

4 / 40

bo‘lsa, y = ?

A) 26

B) 3

C) 8

D) 2

5 / 40

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

A) 72

B) 75

C) 70

D) 78

6 / 40

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

A) ln2

B) ln4

C) ln3

D) ln5

7 / 40

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

A) 114

B) 96

C) 126

D) 108

8 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) √6+√14

B) 2√14+√6

C) 18

D) 16

9 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5+5

B) 2√5

C) √5

D) 5

10 / 40

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

A) 1/4

B) 1/5

C) 4

D) 1/3

11 / 40

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

A) 1

B) 2

C) 3

D) 4

12 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) -1

C) 0

D) -2

13 / 40

x ni toping ?

A) 4

B) 6

C) 5

D) 3

14 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 20 km

B) 200 km

C) 2 km

D) 0,2km

15 / 40

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

A) 7

B) 1

C) 12

D) 5

16 / 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 o‘sadi, keyin kamayadi

B) qat’iy o‘suvchi

C) qat’iy kamayuvchi

D) dastlab kamayadi, keyin o‘sadi

17 / 40

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

A) 1

B) 3

C) 4

D) 2

18 / 40

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

A) 5

B) 1

C) 0

D) 9

19 / 40

Integralni hisoblang:

A) 3

B) 4

C) 1

D) 2

20 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (4-m)/4

B) 2/m

C) (m+4)/4

D) (m+1)/2

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) 80

C) 100

D) 90

22 / 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) 12√3

C) 8√3

D) 9√5

23 / 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) 40

C) 35

D) 20

24 / 40

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

A) 138°

B) 132°

C) 135°

D) 142°

25 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 12

B) 3

C) 9

D) 6

26 / 40

Hisoblang:

A) 8

B) 4

C) 0

D) 6

27 / 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) 7

D) 9

28 / 40

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

A) 0,288

B) 0,432

C) 0,216

D) 0,144

29 / 40

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

A) 192π

B) 96π

C) 72π

D) 144π

30 / 40

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

A) 32

B) 41

C) 50

D) 25

31 / 40

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

A) 25

B) 30

C) 10

D) 0

32 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 5

B) 1

C) 0

D) 8

33 / 40

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

A) 5050

B) 4800

C) 3600

D) 600

34 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 40/63

B) 48/65

C) 56/65

D) 36/65

35 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 1

C) 2

D) 4

36 / 40

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

A) 48

B) 64

C) 32

D) 16

37 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 48

C) 52

D) 40

38 / 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

39 / 40

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

A) 4

B) 1

C) 2

D) 5

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°