2015-yilning variantlari Matematika (Informatika) javoblari bilan

VARIANT № 114
I. Diognallarining soni tomonlari soni dan 3 marata ko’p bo'lgan qavariq muntazam ko’pburchak markazidan ko’pburchak uchiga o'tkazilgan kesma va unga yopishgan tomon orasidagi burchakni toping.
A) 60° B ) 70° C) 65° D) 72°
2. ni hisoblang.
A) B ) C) lnx+c D) ln(x+2)+c
3. sistemadan x ni toping.
A)-6 B)-5 C) 6 D) 5
4. Teng yonli trapetsiyaning diagnali o'rta chizig’ini 1,5 va 7,5 ga teng kesmalarga ajratadi. Trapetsiyaning yuzasi 72 ga teng bo’lsa, uning yon tomonini toping.
A) 10 B ) 8 C)20 D) 5
5. ko’phad (x-1)(x-3) ga qoldiqsiz bo’linsa, a va b ni toping.
A) 5;23 B ) 3;20 C) 3;18 D)3;23
6. y=13cosx+cos13x funksiyaning hosilasini toping.
A) -26cos6x sin7x B)26sin6x cos7x C)26sin6x sin7x D) 26cos6x cos7x
7. tenglamani yeching.
A) B )
C) D)
8. uchun boshlang’ich funksiyani toping.
A) 5cos6x-3sin10x+C B) 5sin6x-3sin10x+C C) 5cos6x-3cos 10x+C D) -5cos6x-3sin10x+C
9. Agar x+y+^x2y+xy²=24 va x+y=5 bo'lsa x³+y³ ni toping.
A) 42 B ) 68 C)60 D)30
10.Yo’lovchi birinchi soatda yo’lning 1/5 qismini. ikkinchi soatda qolgan yo’lning 1/3 qismini, uchinchi soatda esa qolgan yo’lning yarmini yurgach, manzilgacha 4 km masofa qoldi.Yo’lovchi jami qancha (km) yo'l yurishi kerak?
A ) 11 B ) 15 C)16 D) 12
11. Qavariq oltiburchakning ichki burchaklari yig'indisini toping.
A) 750° B ) 690° 0 735° D) 720°
12. (24-(-3)):((+6)-(-3)) ni hisoblang.
A ) -3 B) -7 C)3 D) 7
13. Radiuslari bir xil 3sm ga teng bo'lgan ikki aylana rasmdagidck ABCD trapetsiyada ichki chizilgan. Agar uning AD va BC asoslari mos ravishda 15 sm va 10 sm bo’lsa, uning yon tomonlari A B va CD lar uzunliklari yig'indisini
toping.
A) 19sm B)25sm C ) 13 sm D) 12sm
14. Tenglamatni yeching
A ) B ) C ) D)
15. To'g'ri burchakli uchburchakning perimetri 24 dm, yuzi 24dm² ga teng uchburchakning katetlari (dm) uzunligini toping.
A ) 4 v a 6 B ) 7 v a 8 C ) 6 v a 7 D )6 v a 8
16. (x2+7x+7) ( x2+ x +7)=7x 2 tenglama haqiqiy ildizlari yig'indisini toping.
A ) -7 B ) -9 C) -8 D)-10
17. 1∙2∙3∙...∙30 ko'paytmani tub ko’paytuvchilarga ajratganda ko'paytma 2ⁿ, 3^m va 7^k darajalar ishtirok etsa n+m+k ni toping.
A) 44 B) 50 C)46 D)40
18. Tenglamani yeching va ildizlari ko'paytmasini toping:
A) 4 B) 0 C) 2 D) -3
19. kasrning maxrajini irratsionallikdan qutqaring.
A) B) C) D)
20.Asosi tomoni 4 sm li muntazam to’rtburchakdan iborat piramidaning hajmi 96 sm bo’lsa, u ning balandligini (sm) toping
A ) 6 B) 8 C) 12 D) 18
21 Agar lg5=a va Ig3=b bo’lsa, ni toping.
A) 1+b B ) 3(1-a) C ) D) 3(1-a)(1+b)
22. 102 gacha bo’lgan 4 ga karrali natural sonlar yig'indisini toping.
A) 2000 B ) 1100 O1000 D) 1300
23. tengsizlikni yeching.
A) x B) C) -4 D) -7
24. ni hisoblang.
A) 4 B) 10 C)20 D) 8
25. Geometrik progressiyada 5+15+45+. .. + 1215 yig'indini hisoblang.
A) 1820 B) 1920 0 1840 D) 1720
26. (x²+30x+30)(x²+x+30)=30x² tenglama haqiqiy ildizlari yig'indisini toping.
A ) -31 b) -29 C)-32 D)-30
27. xy ni toping.
A)246 B)248 C ) 6 D ) 247
28. Tenglamani yeching. |5x-15|-|4x+20|=|x-3|
A )-1 B) -0,5 C)2 D) 1
29. fi(x)=24cos4x∙cos8x boshlang'ich funksiyani toping.
A) 3cos4x-cos12x+c B) -3cos4x-cos12x+c C) 3sin4x+sin12x+c D) 3sin4x-sin12+c
30. Aylanadan tashqarida A nuqtadan unga urinma va kesuvchi o'tkazilgan A nuqtadan urinish nuqtasigacha bo’lgan masofa 16 sm. A nuqtadan kesuvchining aylana bilan kesishish nuqtalaridan birigacha bo'lgan masofa 32 sm. Agar kesuvehi aylananing markazidan 5 sm uzoqlikda bo'lsa. aylananing radiusini (sm) toping.
A) 13 B) 14 C ) 15 D)12
31. Ali aytdi “ ASCII kodlash usuli tekis kodlash usulidir” , Vali aytdi “Morze” kodlash usuli notekis kodlash 'usulidir” ulaming fikrlari haqida nima deya olasiz?
A) Ikkalasi no’to’g’ri fikr aytgan B ) Ikkalasi to’g’ri fikr aytgan
C)Faqat Ali to’g’ri fikr aytgan D) Faqat Vali to’g’ri fikr aytgan
32. Quyidagi ikkilik sanoq sistemasidagi sonni sakkizlik sanoq sistemasida tasvirlang: 10101100000111101010100
A ) 25725514 B ) 20407104 C ) 25407524 D ) 25400034
33. Quyidagi yig’indini mos sanoq sistemasida hisoblang. 10011₍₂₎ [phone]₍₂₎
A) 100I00000₍₂₎ B ) 1001110111₍₂₎ C) 11110111101₍₂₎ D) 100110111011₍₂₎
34. MS Exsel 2003 dasturida berilgan = ЦЕЛОЕ(2,985)+CP3HAЧ( 15;30;3) formulani natijasini aniqlang.
A) 17 B) 20 C) 18 D ) 19
35. Web sahifada matn abatsdan boshlanib, sahifa kengligi bo’yicha tekislanishi uchun qanday ko’rsatma ishlatilgan?
A)
B )
C)
D)
36. Paskal dasturi lavhasidagi write protsedurasi necha marta bajariladi? for i:=l to 3 do for j:=0 to 3 do write(i+j);
A) 1 marta B ) 3 marta C) 12 marta D) 9 marta