Matematika (Informatika bilan)

4600019

1. 
   Agar a = 6³⁰⁰ va b = 3⁶⁰⁰ bo’lsa, quyidagi munosabatlardan qaysi biri o’rinli bo’ladi?
   A) a < b B) a > b C) a = b D) a = b+1
   
   
2. 
   Yuk tashish mashinasi 240 km yo’lni bosib o’tishi kerak edi. Mashina yo’lning o’rtasida 30 daqiqa to’xtab qolgach tezligini 20km/soat ga oshirib, belgilangan joyga o’z vaqtida yetib keldi. Mashina yo’lning ikkinchi yarmini bosib o’tishiga ketgan vaqtni (soat) toping.
   A) 1,5 B) 2 C) 1,2 D) 1,4
   
   
3. 
   Arifmetik progressiyada 10−hadi 7 ga, 7−hadi esa 10 ga teng. Progressiyaning 8−hadini toping.
   A) 13 B) 9 C) 14 D) 10
   
   
4. 
   2sin²a─1 ifodani ko’paytma ko’rinishiga keltiring.
   A) ─2sin(45°─α)•sin(α+45°) B) ─4sin(45°─α)•sin(α+45°)
   C) 2cos(α─30°)•sin(α+30°) D) 2sin(α─30°)•cos(α+30°)
   
   
5. 
   a, b manfiy butun sonlar uchun a=b+5 va a+b─c=13 bo'lsa, c ning eng katta qiymatini toping.
   A) ─17 B) ─18 C) ─19 D) ─20
   
   
6. 
   Agar log₉25=a, log₂₅8=b bo’lsa, log₂3 ni a va b orqali ifodalang.
   A) B) C) D)
   
   
7. 
   ni hisoblang. Bu yerda [a] – a sonning butun qismi.
   A) 15 B) 13 C) 37 D) 12
   
   
8. 
   Agar a=5, b=─4 bo’lsa, (a³+a²b+ab²+b³)(a─b) ifodaning qiymatini toping.
   A) 330 B) 369 C) 425 D) 544
   
   
9. 
   tenglamalar sistemasining yechimlaridan iborat barcha x va y larning yig’indisini toping.
   A) 7 B) 14 C) 10 D) 6
   
   
10. 
    2x─3 tenglamaning ildizlari yig'indisini toping.
    A) 3 B) 2,5 C) 2 D) 3,5
    
    
11. 
    log₂10•lg2 dan kichik bo’lgan natural sonlar nechta?
    A) 2 B) 3 C) 0 D) 1
    
    
12. 
    tengsizlikni qanoatlantirmaydigan tub sonni toping.
    A) 7 B) 5 C) 2 D) 3
    
    
13. 
    Agar a < 0 va b > 0 bo’lsa ax+a > bx+b tengsizlikning eng katta butun yechimini toping.
    A) 2 B) −2 C) −1 D) 0
    
    
14. 
    Ko’phadning ozod hadini toping.
    f(x)=(2x+1)²•(3x+2)³•(x─1)²⁰²+(x─1)²⁰⁰⁰+17
    A) 17 B) 26 C) 33 D) ─9
    
    
15. 
    funksiyaning qiymatlar sohasini toping.
    A) [1;∞) B) [1;2) C) [1;4] D) (−∞;1]
    
    
16. 
    f(x) = ─3x²+9x+t─3 funksiyaning maksimumi 4 ga teng. t ning qiymatini toping.
    A) 1 B) 0,75 C) 0,25 D) 2
    
    
17. 
    Agar f(x) = x³+2ax²+3bx+8 va f "(3) = 22 bo’lsa, a ni toping.
    A) 1 B) 2 C) 4 D) 3
    
    
18. 
    aniq integralni hisoblang.
    A) B) C) 2 D)
    
    
19. 
    ni hisoblang.
    A) 0,5arcsin + C B) arcsin + C C) arcsinx + C D) 0,5arcsinx + C
    
    
20. 
    ABCD teng yonli trapetsiyaning AC dioganali 8 ga teng u AD katta asos bilan 15° li burchak tashkil etadi. Trapetsiyaning yuzini toping.
    A) 16 B) 18 C) 20 D) 8
    
    
21. 
    ABCD to’g’ri to’rtburchak AC dioganali orqali ikkita ABC va ACD uchburchaklarga ajratilgan. Agar AB = 9, AD = 12 bo’lsa, ABC va ACD uchburchaklarga ichki chizilgan aylanalar markazlari orasidagi masofani toping.
    A) 6 B) 2 C) 4 D) 3
    
    
22. 
    Quyidagi keltirilgan jumlalardan to’g’risini toping.
    A) Burchak tomonlaridan teng masofada uzoqlashgan burchak ichidagi nuqta shu burchakning bissektrisasida yotadi.
    B) Uchburchakning tashqi burchagi , ikkita ichki burchaklari yig’indisiga teng.
    C) Uchburchakning istalgan bir tomoni qolgan ikki tomoni yig’indisidan katta.
    D) Agar ikki kesma kesishmasa ular parallel bo’ladi.
    
    
23. 
    Muntazam to’rtburchakli prizma asosining yuzi 36 ga teng. Agar prizmaning dioganali yon qirrasi bilan 60° li burchak tashkil etsa, prizmaning yon sirti nimaga teng?
    A) 48 B)30 C)42 D)40
    
    
24. 
    va vektorlar berilgan. vektorning uzunligini toping.
    A) B) C) D)
    
    
25. 
    ABCD parallelogram uchta uchining koordinatalari ma’lum: A(0;1), B(1;2), C(6;2). ABCD parallelogrammning yuzini toping.
    A) 7 B) 5 C) 3 D) 4
    
    
26. 
    Koordinatalari A(─2;0), B(4;0) va C(2;3) nuqtalarda bo’lgan uchburchakning Ox o’qi atrofida aylantirilishidan hosil bo’lgan jismning hajmini toping.
    A) 18π B) 15π C) 16π D) 12π
    
    
27. 
    { x/xϵN, x²<32 } to’plamni nechta usul bilan ikkita kesishmaydigan qism to’plamlar birlashmasi ko’rinishida ifodalash mumkin?
    A) 5 B) 31 C) 32 D) 16
    
    
28. 
    Agar bo’lsa, x ni toping.
    A) −3 B) −5 C) −4 D) −2
    
    
29. 
    y=f(x) funksiya grafigi berilgan bo‘lib, uni parallel ko‘chirish yordamida y=f(x-m) – n funksiya grafigi hosil qilingan. Bunday parallel ko‘chirishda koordinata boshi qanday nuqtaga ko‘chadi?
    A) N (-m;-n) B) N (m;n) C) N (m;-n) D) N (-m;n)
    
    
30. 
    Qavariq ABCDEF oltiburchakda ichki burchaklar o’zaro teng. Agar AB = 5, BC = 4, CD = 3, EF = 1 bo’lsa, DE tomon uzunligini toping.
    A) 6 B) 7 C) 8 D) bir qiymatni aniqlab bo’lmaydi
    
    
31. 
    Faqat rost mulohazalarni aniqlang va ularga tenglashtirilgan sonlar yig’indisini rim sanoq sistemasida hisoblang.
    CLXXXVII = “Informatikani, odatda, Hardware va Software kabi ikki qismning birligi sifatidaqaraladi”
    VCIII = “Software – bu informatikaning qismi bo’lib, dasturiy vositalar sifatida qaraladi”
    IV = “Informatikani, odatda, Hardware va Programware kabi ikki qismning birligi sifatida qaraladi”
    A) CXIX B) CXX C) CXVII D) CCLXXXV
    
    
32. 
    Ali sakkizlik sanoq sistemasida (73;100) oraliqdagi barcha butun sonlarni yozib chiqdi. Vali esa shu sonlardan avval 5 raqami , so’ng 6 raqami qatnashgan barcha sonlarni o’chirib tashladi. Qolgan sonlar yig’indisini sakkizlik sanoq sistemasida aniqlang va o’nbeshlik sanoq sistemasiga o’tkazing.
    A) 7B B) 83 C) 67 D) 58
    
    
33. 
    To’g’ri tenglikni ko’rsating:
    A) 1 Kbit=1024 bayt. B) 1 Kbit=1000 bit. C) 1 Kbit=1024 bit. D)Kbit=1 bayt.
    
    
34. 
    MS Excel. A1=10; B1=14; B2=6 bo’lsa, =CУMM(A1 -B2; A2-B1) funksiyaning javobi 5 ga teng. Bo’lishi uchun A2 katakda qanday son bo’lishi kerak?
    A) 14 B) 15 C) 16 D) 17
    
    
35. 
    Quyidagi html-hujjat kodi yozilishi bo’yicha kataklar ketma-ket sanalganda nechanchi katakda tagchiziqli va og’ma shrift qo’llanilgan?
    

    test < / em> < / b > < / a> < / td> < td rowspan=2> ^test < / sup > < / u > < / strong >
    test < /u>	test

    
    A) Birinchi katakda B) Ikkinchi katakda C) Uchinchi katakda D) To’rtinchi katakda
    
    
36. 
    Paskal. Quyidagi dastur natijasini aniqlang. vara, b, c: integer;
    Begin a : =30; b := 6; a := a *b;
    if a > b then c : = a+4 * b else c : =a-4 * b;
    write(c; 1); end.
    A) 114 B) Kompilyatsiyada xatolik xabari chiqadi C) 204 D) 6