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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

To’g’ri turt burchakning bo’yining perimetriga nisbatini toping.

A) -452/18

B) 1/2

C) 5/3

D) 3/18

2 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) a>b>c

B) c>a>b

C) a>c>b

D) b>a>c

3 / 40

Abdulla, Samandar va Jamshid 3 ta stulga necha xil usulda utirishi mumkin?

A) 7

B) 27

C) 9

D) 6

4 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 59

B) 61

C) 58

D) 60

5 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 450,608

B) 4506,08

C) 45,0608

D) 40560,8

6 / 40

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

A) ln5

B) ln3

C) ln2

D) ln4

7 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) [-1; ∞)

B) (-1; ∞)

C) (0; ∞)

D) (-2; ∞)

8 / 40

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

A) 1

B) 3

C) 4

D) 2

9 / 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) 0,5 m yoki 50 cm

C) 0,6 m yoki 60 cm

D) 0,9 m yoki 90 cm

10 / 40

Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) x=-a

B) x=a

C) y=-a

D) y=1-a

11 / 40

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

A) 30°

B) 20°

C) 40°

D) 10°

12 / 40

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

A) 16

B) 10

C) 48/5

D) 64/5

13 / 40

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

A) 12

B) 7

C) 1

D) 5

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) (28π)/3

B) (29π)/3

C) 11π

D) (32π)/3

15 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 7

B) 6

C) 8

D) 9

16 / 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) 90

B) 80

C) 100

D) 120

17 / 40

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

A) 4800

B) 5050

C) 3600

D) 600

18 / 40

tenglama intervalda nechta ildizga ega?

A) 4

B) 3

C) 2

D) 1

19 / 40

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

A) 5/6

B) 1/2

C) 8/15

D) 1/3

20 / 40

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

A) 0

B) 30

C) 10

D) 25

21 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+1)/2

C) (4-m)/4

D) (m+4)/4

22 / 40

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

A) 144π

B) 192π

C) 96π

D) 72π

23 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) berilganlar yetarli emas

B) 6

C) 10

D) 8

24 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 48

C) 52

D) 40

25 / 40

Hisoblang:

A) 0

B) 6

C) 8

D) 4

26 / 40

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

A) 1

B) 9

C) 0

D) 5

27 / 40

Yig‘indini toping.

A) 1/4

B) 1/9

C) 1/6

D) 1/12

28 / 40

Tenglamani yeching:

A) 5/9

B) 6/5

C) 5*4

D) 9/5

29 / 40

Agar bo‘lsa, m/n ni toping.

A) 4

B) 2

C) (1+√5)/2

D) 3

30 / 40

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

A) -4

B) 4

C) -√17

D) √17

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) √3R(2-√3)

B) R(√3-√2)

C) 3R

D) 1,5R

32 / 40

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

A) 1

B) 2

C) 3

D) 4

33 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 5

B) 0

C) 8

D) 1

34 / 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) 25

C) 40

D) 20

35 / 40

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

A) √5

B) √6

C) 2,5

D) 2,4

36 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 2

B) 5

C) 4

D) 6

37 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √2/8

B) √3/4

C) 1/8

D) √3/8

38 / 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) 9√5

C) 8√3

D) 6√5

39 / 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) 9

B) 15

C) 12

D) 7

40 / 40

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