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36. Agar a=5, b=4 bo’lsa, trunc(14-sqrt (a+b)-a*b ) ifodaning qiymatini toping.(Paskal dasturlash tilida) A) 11 B) -9 C) 3 D) -11
5-VARIANT 1. 8 3 10 25 15 4 ko’paytma necha xonali son bo’ladi? A) 23 B) 21 C) 20 D) 22 2. Diagonallarining soni tomonlari sonidan 3 marta ko’p bo’lgan qavariq muntazam ko’pburchakning har bir uchidan bittadan olingan tashqi burchagi va bitta ichki burchagining yig’indisini toping. A)
504 C) 480 D) 500
3. Silindr asosining radiusi 10 sm, balandligi 16 sm. Silindrning o’qiga parallel kesim o’tkazilgan va u o’qdan 60 mm uzoqlikda yotadi. Shu kesimning yuzini ( 2 sm ) toping. A) 256 B) 196 C) 216 D) 208 4.
2014 2011
1 10 7 1 7 4 1 4 1 1 ni hisoblang. A) 3 B) 3 1 C) 3 1 2014 D) 3 2014
1
5. Agar 6 ; 3 2 ; 27 a va 2 6 ; 6 ; 20 b berilgan bo’lsa, 2 3 b a ni toping. A) 3
10 3 B) 3 14 10 3 C)
10 3 3 14 D) 10 2 3 14
6. x ning qanday qiymatlarida ifoda ma’noga ega?
100 6
4 3 2 1 999
A) x=0 B) x<0 C) R x D) x>0 7. 4 log 5 log
8 log
6 6 27 5 4 3 ifodaning qiymatini toping. A) 1 B) 2 C) 3 D) 0 8. Teng yonli trapetsiyaning yon tomoni 10 ga teng, diagonali esa o’rta chizig’ini 4.5 va 10.5 ga teng bo’lgan kesmalarga ajratadi. Trapetsiyaning yuzini toping. A) 110 B) 105 C) 120 D) 115 9. Teng yonli trapetsiyaning diagonali o’rta chizig’ini 1.5 va 7.5 ga teng kesmalarga ajratadi. Agar trapetsiyaning yon tomoni 10 ga teng bo’lsa, balandligini toping. A) 7 B) 8 C) 10 D) 6 10. Tengsizlikni yeching: 3 3
7 2 3 1 5 x x x
A) ; 1 25 47 ; 2 7 B) 1 ; 2 7
C) 1 ; 25 47 D) 25 47 ; 2 7
11. Katta idishga 15 C li 14 litr suv va 30 C li 11 litr suv aralashtirildi. Natijada idishdagi suvning harorati
C qanday bo’ladi? A) 21.6 B) 25.4 C) 45 D) 22.5 12. Rasmda
` funksiya grafigi tasvirlangan.
x f y va x f y ` funksiyalarning grafiklari mos ravishda 3 0
x va
2 1 x abssissali nuqtalarida o’tkazilgan urinmalari orasidagi burchak a bo’lsa, cos ni toping.
A) 4 1 B) 4 1
13. Agar
1 2 x x g funksiyadan
1 2 x x f g
funksiya tuzilgan bo’lsa, x f funksiyani toping. A) x+1 B) 2x-1 C) x-1 D) 2x+1 14. Tengsizliknig eng katta butun va eng kichik musbat butun yechimlar yig’indisini toping: 1 2 2 2 2 2 3 2 3 5 6 5 3
x x x x x x
A) 4 B) 1 C) 5 D) 6 15. Tenglamani yeching: 0 1 6 4 sin 2
A)
Z k k k , 24 2 1 B) Z k k , 4 24
C)
Z k k k , 4 24 24 1 D)
, 6 6 1 16. Aylana tashqarisidagi nuqtadan aylanaga ikkita urinma o’tkazilgan. Agar urinmalar orasidagi burchak 68 bo’lsa, aylananing urinish nuqtalari orasidagi katta yoyni toping. A)
B) 254 C) 248 D) 244 17. Aniq integralni hisoblang: 2 4 4 sin xdx A)
2 1 B) 8 3 C) 2 3
18. 14 3 2 11 2 5 32 5 3 7 z y x z y x z y x tenglamalar sistemasidan x+y+z ni toping. A) 2 B) 1 C) 4 D) 3 19.
x x x f 12 cos 8 sin
40 uchun boshlang’ich funksiyani toping. A)
20 sin
4 sin
5 B) C x x 20 cos 4 cos
5 C) C x x 20 cos
4 cos
5
D)
20 sin
4 sin
5
20. 1 9 9 10 2 2 x x x tengsizlikni qanoatlantiruvchi eng kichik butun sonni toping. A) 1 B) 2 C) 0 D) 4 21. 0
2 2 sin 5 . 0 sin 2 2 x x x tengsizlik x ning qanday qiymatlarida o’rinli? ] 2 ; 0 [ x
A) 4 7 ; 2 4 3 ; 2 arctg arctg B) 2 ; 4 3
C)
4 7 ; 2 arctg D)
4 3 ; 2 arctg
22. 50 5 5 log
log 3 3
x tenglamani yeching. A) 5 B) 3 C) 9 D) 25 23.
2 2 2 24 24 24 24
x x x x
tenglama haqiqiy ildizlari yig’indisini toping. A) -23 B) -24 C) -26 D) -25 24. D(-1;0), C(0;-1), B(1;0), A(0;1) nuqtalardan hosil bo’lgan ABCD to’rtburchak simmetriya nuqtasi koordinatalarini toping. A) (-1;-1) B) (0;-1) C) (1;1) D) (0;0) 25.
3 1 1 3 1 1 1 1 3 3 3 2 3 3 2 y x y y x x
tenglamalar sistemasini yeching. A) (9;0), (2;7) B) (2;3) C) (9;0), (28;-1) D) (7;2), (28;-1) 26. 3
1 log
5 log
2 8 2 5 7 3
Ifodaning qiymatini toping. A) 2 B) 1 C) 4 D) 3 27. 48
2 2 3 bx ax x ko’phad
6 2 x x ga
qoldiqsiz bo’linsa, a va b ni toping. A) 4; 11 B) 6; 11 C) 6; 8 D) 4; 8 28. Bir ayol bog’ga olma tergani kirdi. Bog’da u 4 ta eshik orqali chiqishi kerak edi. Har bir eshik oldida qorovul turgan bo’lib, ayol birinchi qorovulga tergan olmalarining yarmini berdi. Ikkinchi qorovulga esa qolgan olmalarning yarmini berdi. Uchinchi va to’rtinchi qorovullarni ham xuddi shunday siyladi. Oxirida o’zida 10 ta olma qoldi. Ayol bog’dan necha dona olma uzun? A) 210 B) 150 C) 160 D) 180 29.
0 2 1 3 x x tenglamaning ildizlari yig’indisini toping. A) 2 B) 3 C) 1 D) 4 30. 5
5 2 3 x x tenglamani yeching.
x
A) 2 B) 4 C) 3 D) 2; 97 31. Quyidagi axborot uzatish o’lchov birliklari keltirilgan. Ular o’sish tartibida joylashishi uchun mos tartiblari to’g’ri yozilgan javobni aniqlang. 1) 1 Mbayt/sekund; 2) 1Kbyt/sekund; 3) 1bod; 4) 1Kilobit/sekund. A) 3, 4, 2, 1 B) 3, 2, 4, 1 C) 4, 3, 2, 1 D) 3, 4, 1 32. Quyidagi mantiqiy ifodaga teng kuchli ifodani aniqlang: B A A A)
B A B) B A C) B A D) B A
33. Bir sanoq sistemasida berilgan sonning boshqa sanoq sistemasidagi ko’rinishini aniqlang : 8
. A)
8 1111 1101101110
B)
2 1111
1010111011
C)
2 1010
1111111011
D)
2 1101
1011011001
34.MS Excel 2003 dasturida berilgan 30 30 ; 10 ; 15 ; 80 4 ; 3 MAKC СТЕПЕНЬ ИЛИ
formulaning natijasini aniqlang. A) ЛОЖЬ B) 0 C) ИСТИНА D) 1 35. Faqat arxivlash dasturlari to’g’ri berilgan qatorni toping. A) Nod32, AVP Kasperskiy, DrWeb B) Opera, Chrome, Firefox C) WinRar, WinZip, 7z D) The bat, Outlook express. 36. Quyidagi to’plamning Paskal tilida yozilishini aniqlang: 0 , 0 , 2 2 2 x y R Y X
A) (x*x+sqr(y) B) (sqr(x)+sqr(y) C) (x*x+sqr(y) D) (X*X+Y*Y)
6-VARIANT 5 sin 3 3 sin 5 funksiyaning hosilasini toping.
A) x x 4 cos sin 30 B) x x 4 sin sin 30 C)
sin4x 30cosx
- D) x x 4 cos cos 30 2.
3 2 2
x a x y tenglamalar sistemasi yechimga ega bo’lgan a ning barcha qiymatlari to’plamini toping. A)
3 ; 3 B) 6 ; 6
C)
3 ; 0 D) 6 ; 3
3. 2 9 4 log 2 4 1 2 x x x tengsizlikni qanoatlantiruvchi barcha butun sonlar ko’paytmasini toping.
A) 2 B) -2 C) 3 D) -4 4.
6 7 4 7 5 3 2 9 54 2 ifodaning qiymatini toping. A)
5 19 2 3 B) 8 16 2 3 C) 8 13 2 3 D) 8 20 2 3
5. 144 va 128 sonlarining umumiy bo’luvchisi yig’indisini toping. A) 35 B) 32 C) 31 D) 33 6. A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo’ladigan uchburchak yuzini toping. A) 15 B) 20 C) 8 D) 10 7.
3 18 6 3 4 2 2 tenglama katta ildizining kichik ildiziga nisbatini toping. A) -0.2 B) -0.4 C) 2.5 D) 0.4 8. Fermer kunda o’rtacha 4 1 14 ga yer haydagan bo’lsa, uchinchi kuni necha gektar yer haydagan? A) 13.5 B) 14.5 C) 15.5 D) 16.5 9. 4
va 3 2 - sonlari orasida joylashgan, maxraj 24 ga teng qisqarmas kasrlar yig’indisini toping. A) 24
1 B) 1 C) 24 5
D) 24 17 10. ABC uchburchakka ichki chizilgan aytlana AB, BC va AC tomonlarga mos ravishda P, Q va R nuqtalarda urinadi. Agar BC=12 sm, AB=10 sm va AC=5 sm bo’lsa, CQ ni (sm) toping. A) 8.5 B) 3.5 C) 6 D) 8 11. Soddalashtiring: 2 1 2 1 2 1 2 1 2 b a b a b b a a 0 ; 0
a
A) a 2 B) 0 C) b 2 D) b a 2 2
12. a ax x 15 5 2 tenglama bitta musbat va 3 ta manfiy ildizga ega bo’ladigan a larni toping. A)
; 4 , 2 B) 4,4 C) 0
D) 2,4 13. Parallelogramm diagonallarining uzunliklari 6 va 8 ga teng bo’lib, ular o’zaro perpendikulyar bo’lsa, unga ichki chizilgan doira yuzini aniqlang. A)
. 4 B) 76 . 6 C) 76
5 D) 29
5
14. n kx y funksiyaning grafigi faqat I va III chorakda yotishi uchun k va n qnday bo’lishi kerak? A) n=0; k>0 B) n<0; k=0 C) n>0; k=0 D) n=0; k<0 15. 2015
2013 ni 10 ga bo’lgandagi qoldiqni toping. A) 1 B) 3 C) 9 D) 7 16. Asoslari 8 sm va 10 sm, balandligi 4 sm bo’lgan trapetsiyaga tengdosh uchburchakning asosi 4.5 sm. Shu uchburchakning balandligini toping. A) 16 sm B) 14 sm C) 18 sm D) 12 sm 17. Tenglamani yeching: 3 3
18 54 54 x x
A) 3136 B) 4464 C) 4416 D) 4840 18. AB kesma to’g’ri O nuqtada kesadi to’g’ri chiziqqa 6 1
AA sm,
8 1 OA sm va
4 1 OB sm
bo’lsa, AB kesmaning uzunligini (sm) toping. A) 15 B) 12 C) 16 D) 9 19.
1 21 21 61 17 21 5 log 1 log
4 3 cos 5 2 3 3 3 x x x x x x
tengsizlikning barcha butun yechimlari yig’indisi natural bo’luvchilari soni topilsin. A) 4 B) 6 C) 9 D) 2 20.
2 3 sin 2 4 cos 3 x tg x x y funksiyaning eng kichik musbat davrini toping. A) 12 B) 12 C) 24 D) 24 21. Agar arifmetik progressiyada 93 24 2 3 2 2 2 1 5 3 1 a a a a a a
bo’lsa, dastlabki o’nta hadning yig’indisini toping. A) 153 yoki 317 B) 150 yoki 245 C) 160 yoki 317 D) 155 yoki 245 22. Diagonallarining soni tomonlari sonidan 3.5 marta ko’p bo’lgan muntazam ko’pburchakning har bir uchidan bittadan olingan tashqi burchaklari va bitta ichki burchagining yig’indisini toping. A)
500 C) 504 D) 480
23. 2 1 3 5 dx x x ni hisoblang. A)
1 4 2 5 7 5 B)
4 2 7 5 5 C) 1 4 2 5 7 5 D)
4 2 7 5 5 24.
120 19 10 ... 3 2 1 2 2 2
x x
tenglama yechimlari yig’indisini toping. A) -2 B) 0 C) -1 D) 2 25. Hisoblang:
4 cos
3 26 cos 56 sin
A) -1 B) 2 1 C) 0 D) 1 26. 0
4 2 a x x tenglama ikkita yechimga ega bo’ladigan barcha butun manfiy a lar nechta? A) 1 B) 3 C) 2 D) 0 27.
x x x f 10 sin 6 cos
32 uchun boshlang’ich funksiyani toping. A) 4sin4x-sin16x+C B) 4sin4x+sin16x+C C) -4cos4x-cos16x+C D) 4cos4x-cos16x+C 28. 0
3 3 2 x x tenglama ildizlari ayirmasining kvadratini toping. A) 1225 B) 361 C) 64 D)
5 5 2 . 0 5 . 4 7 2 x x tenglamani yeching. A) 1;-6 B) -1;-6 C) 1;6 D) -1;6 30.
... 4 log 4 log
64 log
3 2 2 2 ni hisoblang. A) 9 B) 0 C) D) 8 31. Quyidagi axborotlarni hajmi bo’yicha kamayish tartibida joylashtiring (qo’shtirnoq hisobda olinmasin): 1) “O’zbekiston-kelajagi buyuk davlat!”; 2) 88 bit; 3) 0,0128 kilobayt. A) 2, 3, 1 B) 1, 3, 2 C) 3, 1, 2 D) 2, 1, 3 32. Quyidagi mantiqiy tenglamaning yechimlari sonini aniqlang:
=rost A) 1 B) 4 C) 3 D) 2 33. Kompyuterga dasturiy ta’minotni o’rnatish jarayoni … deyiladi. A) defragmentatsiya B) deinstallyatsiya D) arxivlash 34. MS Excel 2003 dasturida A1 katakda 9, A2 katakda 4, A3 katakda 6 qiymati berilgan bo’lsa, =MAKC(A1;A3) formula bo’yicha A4 katakda qanday natija hosil bo’ladi? A) 13 B) 7 C) 6 D) 9 35. Quyidagi teglardan qaysi biri web-sahifada matn, fon rangini o’zgartirish uchun ishlatiladi. A) B) C) D)
36. Agar a=12 va b=10 bo’lsa, Paskal dasturlash tilida berilgan ushbu ifodaning qiymatini toping. Round(a/b)+a*(b mod 4) A) 24 B) 26 C) 25 D) 27
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