2015-yilning variantlari Matematika (Informatika) javoblari bilan

VARIANT № 113
1. Tenglama nechta butun yechimga ega?

A) ∅ B ) 2 C) 1 D) 4
2. Boshlang’ich funksiyani toping.
A) B )
C) D)
3. uchun boshlang’ich funksiyani toping.
A) 3sin2x-sin6x+C B ) -3cos2x-cos6x+C C) 3sin2x+sin6x+C D) 3cos2x-cos6x+C
4. tengsizliklar sistemasi a ning qanday qiymatlarida yechimga ega bo’lmaydi.
A) [1,5;∞) B ) (-∞;0) C) (3; ∞) D) (-∞;0)va(3; ∞)
5. funksiyaning eng kichik butun qiymatini toping.
A) 4 B ) 1 C) 2 D) 6
6. tenglamaning ildizlari quyidagi oraliqlardan qaysi birida joylashgan?
A) (0; 1) B)[-1;0] C)[2;3) D)[1;2)
7. tengsizlikning eng katta va eng kichik yechimlari yig’indisini toping. ( )
A) B) C) D)
8. tenglamani yeching.
A) 5 B) -2 C) 5; -2 D) ∅
9. Tenglamani yeching.
A) 10 B ) 11 C) 7 D) 9
10. Ikki xonali sonning raqamlari orsiga 2 ni yozib uch xonali son hosil qilindi va u ikki xonali sondan 9 marta katta bo’ldi. Berilgan sonning raqamlar yig’indisini toping.
A) 7 B) 8 C) 3 D) 6
11. tenglama uchta haqiqiy yechimga ega bo’ladigan a ning qiymati necha?
A) 1 B) 2 C) 3 D) 0
12. lfoda qiymatining oxirgi raqamini toping.
A) 3 B ) 7 C)5 D)1
13. Agar va x+y=5 bo’lsa ni toping.
A) 68 B ) 30 C ) 60 D) 42
14. Usta ishining 0,75 qismini 17/4 soatda bajaradi. Shu ishning qismini qancha vaqtda bajaradi?
A) 31/85 B ) C) D)
15. tengsizlikni qanoatlantiruvchi butun sonlar yig’indisini toping.
A) B ) 0 C) 2 D) 4
16. Kasrni maxrajini irratsionallikdan qutqaring.
A ) B ) C) D)
17. ni hisoblang.
A) 4 B ) 1 C) 2 D ) 6
18. tg2x-ctgx=0 tenglamani yeching.
A) B) C) D)
19. A nuqtadan a tekislikka ikkita AB=15 sm, AC=20sm og’ma o’tkazilgan. AC o'g’maning a tekislikdagi proyeksiyasini toping.
A) 8 B ) 9 C) 12 D) 6
20. x²-4y+y2+6y=12 tenglama bilan berilgan aylana uzunligini toping.
A) 10π B)11 π C) 8 π D) 12 π
21. Diognallarining soni tomonlarining soniga ,eng bo’lgan qavariq muntazam ko’pburchakning ichki burchaklaridan birini toping.
A) 108° B ) 120° C)90° D) 60°
22. y=4sin4x-sin16x funksiyaning hosilasini toping.
A)-32cos6x sin10x B ) 32cos6xcos10x C) 32cos6xcosl0x D) 32sin6xsin10x
23. tenglamadan x ni toping.
A)1/3 B ) 3 C)√3 D ) 1/√3
24. To'g’ri burchakli uchburchakning gipotenuzasi c ga teng.unga ichki chizilgan aylana radiusi r ga teng bo’lsa, uchburchakning yuzini toping.
A) c² +cr B) 2cr C) r² +cr D) r²+c²
25. To’g’ri burchakli uchburchakning bir burchagi 38° gat eng bo’lsa, to’g’ri burchak ustidan tushirilgan balandlik va mediana orasidagi burchakni toping.
A) 17° B) 10° C) 7° D) 14°
26. Dioganallarining soni tomonlarining sonidan 2 marta kam bo’lgan qavariq muntazam ko’pburchak markazidan uning qo’shni uchlariga o'tkazilgan kesmalar hosil qilgan burchakni toping.
A) 90° B) 60° C) 108° D) 72°
27. Agar d:c=-√7 bo’lsa, d²-7c² ni hisoblang.
A) 7 B) √7 C )0 D) -7
28. vektoming unga yo’nalishdosh bo’lgan birlik vektor bilan skalyar ko’paytmasini toping.
A ) -5 B) 5 C) 13 D) 0
29. f(x)=x³-7x²+8x+12 ko’phad quyidagilardan qaysi biriga qoldiqsiz bo’linadi?
A) x+3 B ) x+2 C) x-3 D)x-1
30. ( x²+37x +37) (x²+x +37)=37x² tenglama haqiqiy ildizlari yig’indisini toping.
A ) -36 B) -39 C)-38 D)-37
31. Axborot uzatish tezligi berilgan javobni aniqlang.
A) 1 bod B ) 1 bit C) 1 Gers D) 1 Mbayt
32. Hisoblang va javobini 10 lik sanoq sistemada ifodalang: 20₍₁₆₎ ∙10₍₈₎+ 254₍₈₎
A ) 426 B ) 428 C ) 427 D) 429
33. Bir sanoq sistemasida berilgan sonni boshqa sanoq sistemasidagi ko'rinishini aniqlang:
1101011100101110₍₂₎
A) D72E₍₁₆₎ B ) 715D₍₁₆₎ C) F33D₍₁₆₎ D )E66D₍₁₆₎
34. MS Excel 2003 dasturida berilgan ДЛСТР(“ Informatika” )+CP3HAЧ (15;30;3)formulaning natijasini aniqlang.
A ) 28 B) 26 C ) 29 D)27
35. Quyidagi keltirilgan yozuvlarning qaysi biri clektron manzil bo’la oladi?
A) w'ww.ict.gov.uz B) halikov@asi.U7 C) www.asi.uz D) Epson.com
36. Paskal. Quyidagi dastuming ekrandagi natijasini aniqlang.
Var a, b. s: integer; K
Begin a:=2; s:=0; for b:—-10 to 6 do s: =s+a*b;
Writeln (s): end
A) -54 B ) -52 C) -60 D) -68