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Matematika attestatsiya №4

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Yanvar 21, 2022

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

tengsizlikni yeching.

A) x∈(-∞;5)

B) x∈(-5;1)

C) x∈(-∞;5)∪(-3;1)

D) x∈(-3;1)

2 / 40

ko’paytmani hisoblang.

A) 480000

B) 86420000

C) 0

D) 10000

3 / 40

Bobur 14 m/s tezlik bilan 5 soat, 36 km/soat tezlik bilan 5 minut yugurgan bo’lsa , Boburning umumiy yurgan yo’li topilsin

A) 456 km

B) 670 km

C) 13 km

D) 255 km

4 / 40

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

A) 5

B) 7

C) 6

D) 0

5 / 40

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

A) 200

B) 201

C) 289

D) 203

6 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) 13sinx+sin13x + C

B) 13cosx-cos13x + C

C) -13cosx- cos13 x +C

D) 13sinx-sin13x + C

7 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 7,5

B) 4,5

C) 4

D) 3

8 / 40

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

A) ln3

B) ln2

C) ln4

D) ln5

9 / 40

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

A) 1/3

B) 1/4

C) 1/5

D) 4

10 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 25/3

B) 8

C) 35/6

D) 6

11 / 40

Soddalashtiring.

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

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

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

D) (a-1)/(1-b)

12 / 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

13 / 40

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

A) 1

B) 3

C) 4

D) 2

14 / 40

Soddalashtiring:

A) Aniqlab bo`lmaydi

B) 3

C) 2

D) 1

15 / 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) 11

C) 13

D) 12

16 / 40

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

A) 4

B) 2

C) 5

D) 1

17 / 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 kamayadi, keyin o‘sadi

B) qat’iy o‘suvchi

C) qat’iy kamayuvchi

D) dastlab o‘sadi, keyin kamayadi

18 / 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) 12√3

B) 6√5

C) 9√5

D) 8√3

19 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 3

C) 4

D) 2

20 / 40

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

A) 48

B) 64

C) 16

D) 32

21 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 4

B) 2

C) 1

D) 3

22 / 40

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

A) -√17

B) √17

C) -4

D) 4

23 / 40

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

A) 0

B) 9

C) 1

D) 5

24 / 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) 1/2

C) 8/15

D) 5/6

25 / 40

Integralni hisoblang:

A) 4

B) 3

C) 1

D) 2

26 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 3

B) 9

C) 6

D) 12

27 / 40

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

A) 36/65

B) 40/63

C) 48/65

D) 56/65

28 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 5

B) 0

C) 8

D) 1

29 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) [-3;2]

C) (-∞;0)∪(0;∞)

D) (-∞;3]∪[2;∞)

30 / 40

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

A) 4

B) 1

C) 3

D) 2

31 / 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) 1,5R

B) √3R(2-√3)

C) R(√3-√2)

D) 3R

32 / 40

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

A) 10

B) 25

C) 0

D) 30

33 / 40

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

A) 6

B) 9

C) 8

D) 10

34 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 6

B) 4

C) 2

D) 5

35 / 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) 80

D) 90

36 / 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

37 / 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) 20

C) 40

D) 35

38 / 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) 7°

C) 17°

D) 24°

39 / 40

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

A) 600

B) 4800

C) 3600

D) 5050

40 / 40

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