Ona tili (15 ta)

MATEMATIKA (30 TA)

46. 
    11²⁰¹⁶ + 11²⁰¹⁷ + 11²⁰¹⁸ ifodani 19 ga bo‘lgandagi qoldiqni toping.
    A) 15 B) 13 C) 0 D) 10
    
    
47. 
    Hisoblang: ((3/26-1/37)+(40/111+118/104))•3/38
    A) 1/6 B) 1/10 C) 1/8 D) 1/12
    
    
48. 
    1/3+1/7+1/11+1/15=a bo‘lsa, 20/21+52/165 ni a orqali ifodalang.
    A) 2+a B) 2a+2 C) 2a D) 4a
    
    
49. 
    Xonadon kunlik elektr energiyasining 40 foizi muzlatgichga sarf bo‘lsa, muzlatgich ishlagan kunda ishlamagan kundagisiga nisbatan necha foiz ko‘p energiya sarflanadi?
    A) 40 B) 33,(3) C) 66,(6) D) 60
    
    
50. 
    Hisoblang:
    A) (7-2√5)/4 B) (7-√5)/4 C) (7+2√5)/4 D) 1
    
    
51. 
    Hisoblang:
    A) √2 B) √(√2-1) C) 1 D) 3-√8
    
    
52. 
    n ta hadining yig‘indisi S_n=n³+5n²+3n progressiyaning umumiy hadi ko‘rinishini toping.
    A) a_n=2n²+6n-1
    B) a_n=3n²+6n-2
    C) a_n=3n²+7n+1
    D) a_n=3n²+7n-1
    
    
53. 
    Agar a, b, c sonlar geometrik progressiyaning ketma – ket hadlari bo‘lsa, a³b³ + b³c³ + c³a³ – abc(a³ + b³ + c³) ifodaning qiymatini toping.
    A) a∙b∙c
    B) a∙(b + c)
    C) 0
    D) a³∙b³∙c³
    
    
54. 
    Soddalashtiring: 1-2cos2α
    A) 4sin(α-π/6)sin(α+π/6)
    B) 4cos(α-π/6)sin(α+π/6)
    C) 4cos(α+π/6)sin(α+π/6)
    D) 4sin(α-π/6)cos(α+π/6)
    
    
55. 
    tenglamaning [0; π] oraliqdagi yechimlari yig‘indisini toping.
    A) 0 B) 4π/3 C) π/3 D) 5π/3
    
    
56. 
    ifodani soddalashtiring.
    A) 4 B) 8 C) 16 D) 5
    
    
57. 
    a, b va c lar uchun quyidagi shart bajarilsa, ning qiymatini toping.
    A) 6 B) 4 C) 5 D) aniqlab bo‘lmaydi
    
    
58. 
    Soddalashtiring:
    A) B) C) D)
    
    
59. 
    tenglamaning ildizlari yig‘indisini toping.
    A) 3 B) – 1 C) 1 D) 0
    
    
60. 
    Tenglamani yeching:
    A) √2 va -√2 B) -√2 C) √2 D) 2
    
    
61. 
    Tenglama haqiqiy ildizlari yig‘indisini toping. x³+2x²+x-4=0
    A) 5 B) 1 C) 3 D) 4
    
    
62. 
    Tengsizlik quyidagi oraliqlardan qaysi birida yechimga ega emas?
    
    A) [-4, ∞) B) [-4, 5) C) [-5, -4) D) [-4, -3)
    
    
63. 
    x>0 bo‘lsa, tengsizlikni yeching: (x²-5x+4)/(x²-3x-4)˃0
    A) [1, ∞) B) [-1, ∞) C) (1, ∞) D) (-∞, ∞)
    
    
64. 
    Funksiyaning teskari funksiyasini toping. y=arcsin(1+sinx)
    A) y=arcsin(sinx-1)
    B) y=arcsin(cosx-1)
    C) y=arccos(sinx-1)
    D) y=arcsin(sinx+1)
    
    
65. 
    Agar f(x) funksiya y = x² + 4x + 8 va y = x² + 8x + 4 kvadrat funksiyalar uchun umumiy urinma tenglamasi bo‘lsa, f(2) ning qiymatini hisoblang.
    A) 20 B) 24 C) 15 D) 12
    
    
66. 
    y=tgx bo‘lsa, tengsizlikni yeching: y’-1˂0
    A) [√3•π/2, π] B) [0, π] C) [√3•π/2, 2π] D) yechimga ega emas
    
    
67. 
    x•3^x = x(7 ─ x) + 3(3^x ─ 4) tenglamaning ildizlari yigʻindisini toping.
    A) 4 B) 1 C) ─ 2 D) 3
    
    
68. 
    Integralni hisoblang:
    A)
    B)
    C)
    D)
    
    
69. 
    To‘g‘ri burchakli uchburchakka ichki chizilgan yarim aylana katetlarga urinadi va aylana markazi gepotenuza o‘rtasida yotadi. Agar uchburchakning bitta kateti 4 cm bo‘lsa, yarim aylana yuzini hisoblang.
    
    A) 4π B) 2π C) 3π D) 2√3π
    
    
70. 
    
    A) x=136, y=100, z=124 B) x=130, y=100, z=130 C) x=120, y=100, z=140 D) x=146, y=80, z=134
    
    
71. 
    Chorak aylanani to‘ldirish natijasida hosil bo‘ladigan doiraning yuzi 256π ga teng bo‘lsa, shtrixlangan soha yuzini toping.
    
    A) (256√2-320)π B) (256√2+320)π C) (256√2-220)π D) (256√2-160)π
    
    
72. 
    Muntazam uchburchakli piramida asosining tomoni 4 ga teng bo‘lib, uning kvadrat shaklidagi kesim yuzi 4 ga teng. Piramida yon sirti yuzini uning asos yuziga nisbatini toping.
    A) 1,5 B) 3 C) D)
    
    
73. 
    Asosining tomonlari 3:2 kabi nisbatda bo‘lgan muntazam to‘rtburchakli kesik piramidaga shar ichki chizilgan bo‘lsa, piramidaning hajmini shar hajmiga nisbatini aniqlang.
    A) B) C) D)
    
    
74. 
    Toʻrtta nuqta berilgan: A(0; 2), B(3; 1), C(– 5; 3) va D(2; 4). Bu nuqtalar uchun shart bajarilsa, Q nuqtaning abssissa va ordinatasi ayirmasining modulini toping.
    A) 0 B) 2,5 C) 1 D) 3
    
    
75. 
    Muzlatgichda 70 ta muzqaymoq bor edi. Ulardan 21 tasi mevali, qolganlari shokoladli. Ularning 21 tasi “Kit-Kat”, qolganlari “Best”. Tanlangan shokoladli muzqaymoqlar orasida “Best” chiqish ehtimolligini aniqlang.
    A) 4/7 B) 3/7C) 0,4 D) 0,3