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30-VARIANT
1. Tenglamalar sistemasini yeching va barcha ildizlar ko’paytmasini toping (y>0).
256 log
2 2
y y x
A) 3 B) -3 C) -2 D) -1 2. 2 2 2 6 6 6 6
x x x x tenglama haqiqiy ildizlari yig’indisini toping. A) -8 B) -9 C) -7 D) -6 3. AD=AE=EB=8 bo’lganda shtrixlangan S yuzani toping.
A) 32 B) 16 C) 24 D) 48 4. x;y) sonlar jufti 7 1 3 1 5 1 1 3
y x x y y x x tenglamalar sistemasining yechimi bo’lsa, 6x+y ning qiymatini toping.
A) -1 B) 0 C) -2 D) 1 5.
7 2 3 3
x tenglamani yeching. A) 6; 16
2 B) C) 6 D) 2 16 1
6. 0 12 2 5 . 4 log 2 3 x x x tengsizlikning eng katta butun yechimini toping. A) 4 B) 2 C) 5 D) 6 7. To’g’ri burchakli uchburchakning perimetri 24 dm, yuzi 24
2 dm ga teng. Uchburchakning katetlari (dm) uzunligini toping. A) 7 va 8 B) 6 va 8 C) 6 va 7 D) 4 va 6 8. Ifodani soddalashtiring: 25 cos 85 sin
35 sin
A) 1 B) 2 C) 0.5 D) 3
9. Agar b a 27 log bo’lsa, 6 3
a ni toping. A)
1 B) b 2 C) b 2 D) b 1 10.
30 ...
3 2 1 ko’paytmani tup ko’paytuvchilarga ajratganda ko’paytmada
3 , 2 lar ishtirok etsa, n+m+k ni toping. A) 44 B) 46 C) 50 D) 40 11. 2
6 11 21 6 x x x x y funksiyaning eng katta va eng kichik butun qiymatlari ko’paytmasini toping. A) 18 B) 12 C) 6 D)15 12. 11 ga karrali, 412 dan katta bo’lmagan barcha natural sonlar yig’indisini toping. A) 7755 B) 7744 C) 7733 D) 7722 13. 1
2 12 2 3
tengsizlikni yeching. A) x<1 B) 3 3
x C) 3 3
x D) x>1 14. 2
2 2 75 . 2 75 . 2 7 5 . 3 625 . 0 25 . 3 625 . 0 75 . 6 ni hisoblang. A) 53 B) 35 C) 3,5 D) 350 15.
1 2 23 sin
102 cos
2 sin
2 2 4 cos 2 ni soddalashtiring. A) 1 B) 2 C) -2 D) -1 16.
0 7 3 4 8 3 2
x x tenglama ildizlari ko’paytmasini toping. A) 1.75 B) -2 C) -4 D) 3 17. Agar 0 2 8 a a bo’lsa
2 2 2 4 4 2 a a ni hisoblang. A) 1,5 B) 2,5 C) 1 D) 2 18.
a ax x 4 2 tenglama yagona yechimga ega bo’ladigan a ning barcha qiymatlari yig’indisini toping. A) 0,25 B) 1 C) 0 D) 0,5 19. Diagonallarining soni tomonlari sonidan 1.5 marta k’op bo’lgan muntazam ko’pburchakning tomoni 4 ga teng bo’lsa, unga ichki chizilgan doira yuzini toping. A)
16 B) 10 C) 12 D) 8
20. ABC uchburchakning B uchidan AC tomoniga BE mediana o’tkazilgan bo’lib, bu mediana B burchakni va burchaklarga ajratd. Agar AB BC 8 , EC AE AB va 3 3 sin bo’lsa, cos ning qiymatini toping. A)
9 4 B) 25 24 C) 24 23 D) 3 2
D C
B B A S F E 21. Ifodaning qiymatini toping.
25 17 15 416
17 : 5 13 99 795 15 : 7 A) 17 4 753 B) 17 7 12 C) 17 4 753
D) 17 7 752
22. 0 50 100
x tengsizlikning butun yechimlari yig’indisini toping. A) 3675 B) 3765 C) 3775 D) 3825 23.
14 sin 2 sin
7 funksiyaning hosilasini toping.
A) x x 8 cos 6 cos
28 B) x x 8 sin 6 cos
28 C)
x x 8 sin 6 sin
28 D) x x 8 cos 6 sin
28
24. Mahsulotning narxi ketma-ket ikki marta bir xil foizga oshirilgandan so’ng dastlabki narxidan 90.44% ga oshdi. Mahsulot narxi har safar necha foizga oshgan?
A) 42 B) 35 C) 36 D) 38 25. a va b sonlari qanday bo`lganda ax-2y=b to`g`ri chiziq abssissa o`qi musbat yo`nalishi bilan o`tkir burchak hosil qilib,
; 0 nuqtadan o`tadi? A) a>0,b=4 B) aniqlab bo`lmaydi C) a=-1,b=-4 D) a<0, b=-4 26. Kvadratning diagonali 8 2
yuzini toping. A) 64 B) 32 C) 16 D) 8 27. Aniq integralni hisoblang: 2 4 4 sin xdx A) 2 B) 2 3
8 3 D) 2 1
28. 2 0 1 16 5 4 6 4 3 3 2 ni hisoblang. A) 1.2 B) 1 C) 2.5 D) 2 29. Parallelogrammning diagonallari 10 va 12, ular orasidagi burchak 120 . Parallelogrammning perimetrini toping. A)
291 31 B) 71 31
C)
91 31 2 D) 31 91
30.
x x x f 9 sin 7 cos
32 uchun boshlang’ich funksiyani toping. A) 8sin2x+sin16x+C B) 8sin2x-sin16x+C C) 8cos2x-cos16x+C D) -8cos2x-cos16x+C 31.
x x x f 9 sin 7 cos
32 uchun boshlang’ich funksiyani toping. A) 8sin2x+sin16x+C B) 8sin2x-sin16x+C C) 8cos2x-cos16x+C D) -8cos2x-cos16x+C 32. Paskal. Quydagi dasturning ekrandagi natijasini aniqlang: var a,b,c: integer; Begin a:=2; c:=1; for b:=1 to 6 do c:=c*a+b; writeln(c); end. A) 52.00 B) 52 C) 184 D) 184.00 33. MS Excel 2003 dasturida berilgan 3 ; 30 ; 15 " " СРЗНАЧ a Informatik ДЛСТР formulaning natijasini aniqlang. A) 27 B) 28 C) 26 D) 29 34. Kompyuterning tashqi xotirasida joylashgan va birir nomga ega bo’lgan baytlar to`plami … deyiladi. A) disk B) fayl C) yorliq D) katalog (papka) 35. Kampyuter tarmog`iga zarar keltiruvchi viruslar nima deb ataladi? A) Fayl viruslari B) Mikroviruslari C) Boot- viruslari D) Replikatorlar 36. Turli sanoq sistemalarida berilgan sonlar yig’indisini aniqlang.
16 10 23 176 B
A)
10 3567
B)
2 1100011000 C)
8 5423
D)
16 3
31-VARIANT 1. 1 2 2 2 2 2 3 2 3 5 6 5 3
x x x x x
Tengsizlikning eng kichik va eng katta musbat butun yechimlari nisbatini toping. A)
3 1 B) 3 C) 2 3 D) 3 2
2. Agar 4 6 2 a a bo’lsa, 2
2 1 3 4 a a ni toping. A) 3 B) 2,5 C) 2 D) 3,5 3. Teng yonli to’g’ri burchakli uchburchakka ichki chizilgan doiraning radiusi r bilan, perimetrining yarmi esa p bilan belgilandi. Gipotenuzani toping. A) p+r B) p-r C) 2p-r D) r-p 4.
5 lg 1 log 3 lg 3 7 5 8 ifodaning qiymatini toping. A) 2 B) 4 C) 1 D) 3 5. ABC uchburchakka ichki chizilgan aylana 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) 3,5 B) 8,5 C) 8 D) 6 6. Ifodani soddalashtiring, bunda 2 4
n ; 4 3 3 sin 6 5 sin 3 cos
6 5 cos tg
A) 2 1 B) 2 C) 1 D) 0 7. Avtomobil haydovchisi birinchi soatda yo’lning yarmini, ikkinchi soatda qolgan yo’lning 3 1
qolgan 56 km masofani bosib o’tadi. Haydovchi uch soatda jami qancha (km) yo’l bosib o’tgan? A) 168 B) 112 C) 144 D) 156 8.
2 2 6 11 21 6 x x x x funksiyaning qiymatlar sohasini toping. A) 6 ; 1 B)
6 ; 1 C)
6 ; 1 D) 6 ; 1 9.
1 64 16 2 4
x tenglama ildizlarining k’paytmasini toping. A) 63 B) -21 C) 21 D) -63 10. Zavodning 3 ta sexida jami 2178 ta mahsulot tayyorlangani. Birinchi sexda jami mahsulotning 3 1
qismiga teng, ikkinchi sexda birinchi sexda 74 ta ko’p mahsulot tayyorlangan bo’lsa, har bir sexda qanchadan mahsulot tayyorlangan? A) 726; 652; 800 B) 800; 652; 726 C) 726; 800; 652 D) 652; 726; 800 11.
x x x f 8 sin 6 cos
28 uchun boshlang’ich funksiyani toping. A) 7sin2x+sin14x+C B) 7cos2x-cos14x+C C) 7sin2x-sin14x+C D) -7cos2x-cos14x+C 12. Diagonsllari soni tomonlar sonidan 2 marta ko`p bo`lgan ko`pburchakning ichki burchaklari yig`indisi topilsin. A)
1080 B) 540 C) 720 D) 900
13. a ax x 4 2 tenglama a ning qanday qiymatida 2 ta musbat va 1 ta manfiy yechimga ega? A) 0,5 B) 1 C) 4 1
14. Tenglamalar sistemasining qanoatlantiruvch barcha a va y larning yig`indisini toping.
0 12 3 4 1 1 2 3
x y x y x
A) 3 4 B) 4 C) 13 D) 3 4
15. 1 1 2 9 2 1 4 6 4 3 9 3 1
x x x
tenglama nechta yechimga ega? A) 2 ta B) 3 ta C) 0 ta D) 1 ta 16. Aylanani 7;13;18;22 sonlariga proporsional yoylarga bo`lganda, ularning burchaklarining toping. A)
132 ; 108 ; 78 ; 42 B)
145
; 115
; 78 ; 56
C) 141 ; 95 ; 75 ; 49 D) 131 ; 95 ; 89 ; 49 17.
6 1 6 7 3 1 3 2 3 2 2
b b b b soddalashtiring. A) 1 B) 1 b b
C) 2 1 2 1 b b D) 2 1
b b
18. 2014 2009
2011 2012
ni hisoblang. A) 6 B) -4 C) -6 D) 23 19.
8 cos 2 cos
4 funksiyaning hosilasini toping.
A) x x 5 sin 3 cos
16 B) x x 5 sin 3 sin
16
C) x x 5 cos 3 sin
16 D) x x 5 cos 3 cos
16
20. dx x x sin 6 cos 7 ni hisoblang. A)
sin 7 cos 6 B) C x x sin 7 cos 6
C) C x x cos
6 sin
7 D)
C x x cos 6 sin 7
21. 1 lg 25 lg 9 lg 15 4 3 5 ifodaning qiymatini toping. A) 1 B) 3 C) 2 D) 4 22. A nuqtadan a tekislikka ikkita AB=15sm, AC=20 sm og`ma o`tkazilgan. AC og`maning tekislikdagi proyeksiyasini (sm) toping. A) 12 B) 9 C) 6 D) 8 23. Diagonallari 30 va 40 ga teng bo`lgan rombnini tomoni toping.
A) 22 B) 23 C) 27 D) 25 24. Aylananing A nuqtasidan o’tkazilgan AB va AC vatarlarning uzunliklari mos ravishda 8 va 9 ga teng. Agar ularning ikkinchi uchlari tutashtirilsa, tuzi 18 ga teng uchburchak hosil bo’ladi. AB va AC vatarlar orasidagi burchakni toping. A)
B) 60 C) 45 D) 15 25.
... 3 log 9 log
81 log
3 3 3 ni hisoblang. A) 0 B) 8 C) 95 D) 27 26. 1
sin sin
4 3 x x tenglamaning 2 ; 5 , 1 kesmada nechta ildizi bor? A) 6 B) 8 C) 7 D) 4 27. 13 ga karrali, 399 dan katta bo’lmagan barcha natural sonlar yig’indisini toping. A) 6045 B) 6058 C) 6071 D) 6032 28. 3
4 8 7 2 4 1 1 : 16 5 22 27 21 4 4
A) 0 B) 1 C) -1 D) 2 1
29. 2 1 2 2
x tenglamani yeching. A)
5 4 C) 0 D) 5 4
30. 2 1 3 ax x a y parabolaning uchi y o’qi ustida bo’lsa, a ni toping. A) 2 B) 1 C) 3 D) 0 31. Dinamik kutubxona fayllarining kengaytmasini toping. A) .bak B) .dll C) .xls D) .bat 32. 12354 sonini yozish uchun qo’llash mumkin bo’lgan eng kichik asosli sanoq sistemasini aniqlang. A) oltilik B) beshlik C) o’nlik D) uchlik 33. Paskal tilida quyidagi dastur ishga tushirilganda xatolik xabarini chiqaradi: Var a:byte; b:char; Begin a:=5*2; b:=’A’; If a<=15 then a:=a*2 else b:=’AA’; write(a); End Xatolikka sasab bo’lgan qismini aniqlang A) a:=a*2 B) a<=15 C) a:=5*2 D) b:=’AA’ 34. Birinchi avlod elektron hisoblash mashinaning asosiy elementi nimadan iborat? A) katta integral sxema B) elektron lampa C) yarim o’tkazgichli tranzistor D) integral sxema 35. Bir sanoq sistemasida berilgan sonning boshqa sanoq sistemasidagi ko’rinishini aniqlang:
2 101110
1101011100
A) 16 715D B)
16 33D F C) 16
E
D)
16 72E D
36. MS Excel 2003 dasturida berilgan 17 ; 16 ; 15 1256 МИН ЗНАК formulaning natijasini aniqlang.
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