Test(I-variant)
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Test(I-variant) 1. 4 4 𝑥 = 2 2 3 2 2 tenglamani yeching. A) 8 B) 4 C) 3 D) 40 2. 31.2 ∙ 58.4 ‒ 27.2 31.2 + 58.4 ∙ 27.2 ni hisoblang. A) 1 B) 1 2 C)
1 4
D) 2 3. 7
16 +7 14 yig’indining natural bo’luvchilari sonini toping. A) 100
B) 90 C) 120
D) 117 4. Bir to’g’ri chiziqda ketma-ket yotuvchi A, B, C va D nuqtalar uchun AB = CD va BC=12 ekanligi ma’lum. Bu to’g’ri chiziqda yotmaydigan E buqtadan B va C nuqtalargacha bo’lgan masofa 10 ga teng. Agar AED uchburchakning perimetri BEC uchburchakning perimetridan ikki marta katta bo’lsa, AB ni toping. A) 8
B) 7.5 C) 8.5 D) 9
5. A ni qanday qiymatida { 𝑥 ‒ 𝑦 = 2 𝑥 + 4𝑦 = 𝑎 2𝑥 + 3𝑦 = 5 tenglamalar sistemasi yechimga ega? A) 3 B) 2 C) 1 D) 0 6. 𝑓(𝑥 ‒ 3) = 2𝑥 ‒ 1 𝑥 + 1
bo’lsa, 𝑓(𝑓(3))
ni toping? A) 17 19 B)
17 13
C) 13 19 D) 19 13 7. Arifmetik progressiyada 𝑎 11 + 𝑎 7 = 6 ga teng, 𝑎 2 9 ‒ 2
ni hisoblang. A) 2 B) 3
C) 7 D) 1
8. 2𝑥 + 6 + 𝑥 ‒ 1 = 6 tenglamaning haqiqiy ildizlari yig’indisini toping. A) 1 B) 2
C) 5 D) 4
9. 𝑠𝑖𝑛
4 𝑥 + 𝑐𝑜𝑠
4 𝑥 = 1
tenglamani yeching. A) π𝑘 2 , 𝑘 ∈ 𝑍
B) 2π𝑘, 𝑘 ∈ 𝑍
π𝑘, 𝑘 ∈ 𝑍 D)
( ‒ 1) 𝑘 π 6 + π𝑘, 𝑘 ∈ 𝑍 10. Ikkita qo’shni yoqlari markazlari orasidagi masofa 18
ga teng bo’lgan kubga tashqi chizilgan kub yuzini toping.
A) 144 π B) 108 π C) 125 π D) 120 π 11.
1 ∫ 0 𝑥 4 𝑑𝑥 ni hisoblang. A) 5 6
B) 3 8
C) 2 7 D)
1 5 12. -0,(44) sonining teskarisiga qarama-qarshi sonning kvadrat ildizini toping. A) 1,5 B) -1,5 C) 2
D)
‒ 2 3 13.
1 ‒ cos 𝑥 = sin 𝑥 (𝑥 ∈ [π; 3π]) tenglama ildizlarining yig’indisini toping. A) 2,5
π
B) 3 π C) 4,5 π D) 4
π 14.
log 2 1 + log 2 1 2 + log 2 1 8 ni hisoblang. A) -5 B) -6 C) -3 D) -4
15. 𝑥 ‒ 4 < 𝑥 2 ‒ 6𝑥
tengsizlikni yeching. A) (8; ∞) C)
( ‒ ∞;0) ∪ (6; ∞) B) ( ‒ ∞; ∞) D)
( ‒ ∞;0] ∪ (8; ∞) 16. Toq funksiyani ko’rsating. A) 𝑦 = 2𝑥
2 ‒ 3|𝑥| + 2
C)
𝑦 = 𝑥 + 𝑥
3 𝑥 5 B) 𝑦 =
𝑥 2 𝑥 + 1 D) 𝑦 = 𝑥cos 𝑥 17. Katetlari 3 ‒ 2 5𝑥 + 𝑥 2 = 0
tenglama bilan berilgan to’g’ri burchakli uchburchak yuzini toping. A) 2 B) 2,5 C) 1,5 D) 3,5 18. 9 ga bo’lganda qoldiq 7 ga, 8 ga bo’lganda esa qoldiq 3 ga teng boladigan hamda ikkinchi bo’linma birinchi bo’linmadan 1 ga ortiq bo’lgan natural sonni toping. A) 43 B) 61 C) 73 D) 91 19. Agar geometrik progressiyada b 5 – b
1 =18 va b 3 - b
1 = 12 bo’lsa, b 11 ni toping. A) ‒
27 B) ‒ 3
C) ‒ 4 94 D) ‒ 3
20. |5𝑥 ‒ 3| + |3𝑥 ‒ 5| = 9𝑥 ‒ 10 tenglamaning ildizi 9 dan qancha kam? A) 2 B) 7 C) 5
D)TJY 21. Teng yonli uchburchakning asosi 4 2 ga, yon tomini medianasi esa 5 ga teng. Yon tomonini toping. A) 33 B) 38 C) 4 D) 6 22. Ifodani soddalashtiring: ( (sin α) ‒ 1 + (𝑡𝑔α)
‒ 1 ) :(𝑡𝑔 α 2 ) ‒ 1 . A) cos α B) 2 C) 1 D) 𝑡𝑔 α
23. 𝑓(𝑥) = (1 + 2𝑥) 2 funksiyaning hosilasini toping. A) 4(2x+1) B) 8x+1 C) 4x(2x+1) D) 0 24.
𝑥 2 𝑦 2 + 2𝑥𝑦 ‒ 3 𝑥 2
2 kasrni qisqartiring. A) 𝑥𝑦 + 3
𝑥𝑦 ‒ 1
B) 𝑥𝑦 ‒ 3 𝑥𝑦 + 1
C) 𝑥𝑦 + 3
𝑥𝑦 + 1 D) 𝑥𝑦 ‒ 3 𝑥𝑦 ‒ 1
25. Bankka 50000 so’m pul qo’yildi. Bir yildan so’ng jamg’arma p% ga ko’paydi. Jamg’armaning miqdori qanchaga yetdi. A) 50000p C) 50000+100p B) 500(p+100) D) 50000(p+100) 26. Piramida asosining yuzi 512 ga, uning balandligi 16 ga teng. Asosiga parallel bo’lgan kesimning yuzi 50 ga teng bo’lsa, u asosdan qanday masofada joylashgan? A) 9 B) 11 C) 7 D) 25
27. 3680 va 5980 sonlarini bir xil songa bo’lamiz. Birinchi sonni bo’lgandagi bo’linma 32 ga teng. Ikkinchi bo’linmani toping. A) 115
B) 46 C) 48 D) 52 28.
𝑥 𝑥 = 𝑥 𝑥 8 tenglamani yeching. A) 1;4 B) 1 C) 4 D)
∅ 29. Agar 𝑡𝑔 (
4 + α
) =‒ 59 11 bo’lsa
𝑐𝑡𝑔α ni toping. A) ‒
35 B) ‒ 35
C) 35 24 D) 24 35 30. log
𝑥 ‒ 1 𝑥 2 = log 𝑥 ‒ 1
(6𝑥 ‒ 8) tenglama ildizlari soni a bo’lsa, a+5 ni toping. A) 7 B) 6 C) 11 D) 9 Download 100,72 Kb. Do'stlaringiz bilan baham: |
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