Matematika (Informatika bilan)

4600012

1. 
   a va b natural sonlarning EKUK i 72 ga, EKUB i 12 ga teng bo’lsa, ularning ko’paytmasini toping.
   A) 480 B) 360 C) 864 D) 960
   
   
2. 
   Axborot-resurs markazida 15 ta kompyuter o’rnatilmoqda, bunda ayrimlari kabel bilan ulanmoqda. Har bir kompyuterdan 4 ta kabel chiqishi lozim bo’lsa, jami bo’lib nechta kabel kerak?
   A) 40 B) 30 C) 60 D) 24
   
   
3. 
   a₁, a₂, . . . va b₁, b₂, . . . – arifmetik progressiyalar uchun a₁=2, 5, b₁=7,5, a₁₀₀+b₁₀₀=10 bo’lsin. a₁+b₁, a₂+b₂,. . . ketma-ketlikning dastlabki 100 ta hadlar yig’indisini toping.
   A) 100 B) 1000 C) 0 D) 10
   
   
4. 
   ifodaning son qiymatini toping, bu yerda
   A) 1 B) ─1 C) D)
   
   
5. 
   Agar barcha x, y lar uchun x³+4x²y+axy²+3xy−bx^cy+7xy²+dxy+y² = x³+y² tenglik bajarilsa, b−c−d ni toping.
   A) 2 B) −4 C) 5 D) −2
   
   
6. 
   Agar log₃25=a, log₂₅8=b bo'lsa, log₂3 ni a va b orqali ifodalang.
   A) B) C) D)
   
   
7. 
   ni hisoblang.
   A) B) C) D) 2
   
   
8. 
   Agar x = 3 bo’lsa, ning qiymatini toping. (Bu yerda (a─b)(a─c)(b─c)≠0)
   A) 2 B) 1 C) a, b, c ga bog’liq D) 0
   
   
9. 
   tenglamalar sistemasining yechimlaridan iborat barcha x va y larning yig’indisini toping.
   A) 20 B) 14 C) 7 D) 12
   
   
10. 
    Tenglama ildizlari yig’indisini toping.
    
    A) −0,5 B) −0,3 C) −0,4 D) −0,2
    
    
11. 
    tengsizlikning eng katta natural yechimini toping.
    A) 1000 B) 999 C) 1001 D) 99
    
    
12. 
    tengsizlikning manfiy butun yechimlari nechta?
    A) 2 B) 3 C) 1 D) cheksiz ko’p
    
    
13. 
    x⁶−28x³+27 ≤ 0 tengsizlik nechta butun yechimga ega?
    A) 1 B) 3 C) 27 D) cheksiz ko’p
    
    
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 sohasiga nechta butun son tegishli?
    A) 3 ta B) 4 ta C) 7 ta D) 5 ta
    
    
16. 
    Agar bo'lsa, f '(0) ni toping.
    A) 4 B) 2 C) 0 D) 3
    
    
17. 
    Agar f(x)= x³-5x²+x+a va f "(2) = f (1) bo'lsa, a ni toping.
    A) 6 B) 10 C) 12 D) 5
    
    
18. 
    y=sin; y=0; x=; x= chiziqlar bilan chegaralangan shaklning yuzini toping.
    A) B) 2 C) D)
    
    
19. 
    va egri chiziqlar bilan chegaralangan soha yuzini toping.
    A) B) C) D)
    
    
20. 
    Teng yonli trapetsiyaning dioganali o’tkir burchak bissektrisasidir. Trapetsiyaning asoslari uzunliklari 2:3 kabi nisbatda, perimetri esa 12 ga teng. Trapetsiyaning o’rta chizig’ini toping.
    A) 3,5 B) C) D) 3
    
    
21. 
    Konusning yasovchisi ga teng. Konusning uchida unga ichki chizilgan shar markazigacha bo’lgan masofa 4 ga teng. Konusning yasovchisi va asos tekisligi orasidagi burchakni toping.
    A) B) C) 2arctg3 D)
    
    
22. 
    Uchburchakning 2 ta tomoni 5 va 6 ga, ular orasidagi burchak kosinusi esa ga teng. Uchburchakning 3 – tomoniga tushirilgan balandligini toping.
    A) 4 B) 5 C) 6 D) 8
    
    
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)
    
    
24. 
    Asosining tomoni 4 ga va balandligi 8 ga teng bo‘lgan uchburchakli muntazam piramidaga tashqi chizilgan sharning radiusini toping.
    A) 4 B) 6 C) 5 D) 3
    
    
25. 
    ABCD parallelogramm uchta uchining koordinatalari ma’lum: A(0;1), B(1;3), C(9;3). ABCD parallelogramm yuzini toping.
    A) 14 B) 16 C) 25 D) 24
    
    
26. 
    Koordinatalari A(2;0), B(8;0) va C(4;3) nuqtalarda bo’lgan uchburchakning Ox o’qi atrofida aylantirilishidan hosil bo’lgan jismning hajmini toping.
    A) 18π B) 16π C) 15π D) 12π
    
    
27. 
    Bir kunlik dars jadvalida turli fanlar bо’yicha 4 ta dars bor. 9 ta fandan iborat bo’lgan shunday jadvallar sonini toping.
    A) 3024 B) 126 C) 4940 D) 504
    
    
28. 
    tengsizlikning eng katta butun manfiy va eng kichik butun musbat yechimlari yig’indisini toping.
    A) −1 B) 1 C) 2 D) −3
    
    
29. 
    y = sin²x funksiya grafigi berilgan bo’lib, uni parallel ko’chirish yordamida y = sin²(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. 
    Besh yoqli ko’pyoq(lar)ni aniqlang.
    
    A) 1, 3 B) 1 C) 3 D) 2
    
    
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. 
    A=”Boot Record─buyruq protsessoridir.” B=”Freeware─mutloqo bepul, birlamchi kodi ochiq dasturiy ta’minotdir.”
    C=’’Paradox─operatsion sistemadir.” Shu mulohazalar asosida quyidagi mantiqiy ifodaning natijasini toping:
    C or not (B or not A)
    A) Rost B) Yolg’on C) Ifodada xatolik bor
    D) Ba’zi mulohazalarning qiymatini aniqlab bo’lmaydi
    
    
34. 
    MS Excel. A1=4; B1=2; A2=3; B2=10 bo’lsa, =?(??(A1;A2)+??(B1;B2):B1) formulaning natijasi 8 bo’lishi uchun ? va ?? belgilarining o’rniga qo’yish mumkin bo’lgan funksiyalar to’g’ri berilgan javobni aniqlang.
    A) Cумм, Макс B) Срзнач, Макс C) Cумм, Мин D) Левсимв, Степень
    
    
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