Matematika (Informatika bilan)

4600021

1. 
   Taqqoslang: a=40¹⁵ va b=25¹⁵+15¹⁵
   A) a+20 < b B) a < b C) a > b D) a = b
   
   
2. 
   Quti sirtining 75% ini bo'yash uchun 450 gramm bo'yoq sarflangan bo'lsa, to'liq bo'yash uchun necha gramm bo'yoq kerak bo'ladi?
   A) 625 B) 650 C) 600 D) 500
   
   
3. 
   Arifmetik progressiyada 10−hadi 7 ga, 7−hadi esa 10 ga teng. Progressiyaning 12−hadini toping.
   A) 13 B) 6 C) 14 D) 5
   
   
4. 
   cos²α+cos²β+cos²(a+β)-2cosacosβcos(a+β) ifodani soddalashtiring.
   A) 1─sinasinβ B) 1 C) 0 D) cos(a+β)
   
   
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. 
   y = f(x) funksiya D to'plamda noqat'iy o'suvchi bo'lsin. D to'plamdan olingan ixtiyoriy a,b elementlari uchun (a > b) quyidagi munosabatlardan qaysi biri o'rinli?
   A) f(b) ≤ f(a) B) f(a) < f(b) C) f(b) = f(a) D) f(a) ≤ f(b)
   
   
7. 
   3─4+5─6+…..+2017─2018+2019 ni hisoblang.
   A) ─1011 B) 1010 C) 1011 D) ─1008
   
   
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 sistemasini yeching. (x, y ϵN)
   A) (48;60) B) (24;36) C) (36;48) D) (60;72)
   
   
10. 
    proporsiyadan x ni toping.
    A) B) C) D)
    
    
11. 
    tengsizlikning eng katta natural yechimini toping.
    A) 1000 B) 999 C) 1001 D) 99
    
    
12. 
    tengsizlikning manfiy butun yechimlari nechta?
    A) 2 B) 1 C) 0 D) 3
    
    
13. 
    Agar a < 0 bo’lsa, tengsizlikni yeching.
    A) 3a < x < 0 B) x < 3a C) 0 < x < 3a D) x > 3a
    
    
14. 
    P(x) = (3x─1)²⁰¹⁷•(2x─1)²⁰¹⁶+(4x─3)²•(6x─5)²+2 ko’phad koeffitsiyentlarining yig’indisini toping.
    A) 2²⁰¹⁷+3 B) 2²⁰¹⁷+1 C) 9 D) 16
    
    
15. 
    funksiyaning qiymatlar sohasiga tegishli bo'lmagan butun musbat sonlar yig'indisini toping.
    A) −4 B) 0 C) 4 D) 2
    
    
16. 
    Agar bo’lsa, F '(2) ni toping.
    A) 16 B) 52 C) 26 D) 48
    
    
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) 0 B) C) D)
    
    
19. 
    ni hisoblang.
    A) arcsinx+C B) 0,5arcsinx+C C) arcsin+C D) +C
    
    
20. 
    O'tkir burchagi 45° ga, balandligi va katta asosining yigindisi a ga teng yonli trapetsiyalar ichida eng katta yuzaga ega bo'lganining kichik asosini toping.
    A) B) C) D)
    
    
21. 
    Konusning yasovchisi 4 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 16 ga teng. Agar prizmaning dioganali yon qirrasi bilan 60° li burchak tashkil etsa, prizmaning yon sirti nimaga teng?
    A) B) C) D)
    
    
24. 
    Muntazam o’nikkiburchakli piramidaning yon qirrasi 5 ga, piramidaning balandligi 3 ga teng. Piramidaga tashqi chizilgan sferaning radiusini toping.
    A) B) C) D) 4
    
    
25. 
    ABCD parallelogramm uchta uchining koordinatalari ma’lum: A(0;1), B(1;3), C(14;3). D uchining absissasi toping.
    A) 15 B) 5 C) 0 D) 13
    
    
26. 
    Uchlari A(−4;0), B(5;3) va C(0;−2) nuqtalarda bo’lgan ABC uchburchakning AB tomonining Oy o’qi bilan kesishish nuqtasi koordinatasini toping.
    A) (0;) B) (0;) C) (0;) D) (0;)
    
    
27. 
    { x/xϵ N, 0 ≤ x < 5 } to’plamning nechta qism to’plamlari mavjud?
    A) 16 B) 4 C) 32 D) 5
    
    
28. 
    Agar bo’lsa, x ni toping.
    A) 2 B) 4 C) 3 D) 5
    
    
29. 
    y=sin² x funksiya grafigi berilgan bo'lib, uni parallel ko'chirish yordamida y=sin² (x+a)+b funksiya grafigi hosil qilingan. Bunday parallel ko'chirishda koordinata boshi qanday nuqtaga ko'chadi?
    A) N (−a;b) B) N (a;b) C) N (b;a) D) N (a;−b)
    
    
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 (57; 72) oraliqdagi barcha butun sonlarni yozib chiqdi. Vali esa shu sonlardan 6 raqami qatnashgan barcha sonlarni o’chirib tashladi. Qolgan sonlar yig’indisini sakkizlik sanoq sistemasida aniqlang va ikkilik sanoq sistemasiga o’tkazing.
    A) 10000010 B) 1110001 C) 10000111 D) 10110000
    
    
33. 
    A = “MSDOS.SYS – operatsion sistemani faollashtiruvchi dasturdir.”
    B = “Biror nomga ega bo’lgan va kompyuter tashqi xotirasida joylashgan baytlar majmuiga latalog deyiladi.”
    C = “Brainware – algoritmlarni ishlab chiqish, ularni tuzish usul va uslublaini o’rganish bilan bog’liq yo’nalishdir.” Shu mulohazalar asosida quyidagi mantiqiy ifodaning natijasini toping:
    C V ¬ (A ⋀ B)
    A) Ba’zi mulohazalarning qiymatini aniqlab bolmaydi
    B) Yolg’on C) Rost D) Ifodada xatolik bor
    
    
34. 
    MS Excel.
    =ABS(Длстр(0,0123)+Значен(?(??(1235;2;3;0);2))) formulaning natijasi 18 bo’lishi uchun ? va ?? belgilarining o’rniga qo’yish mumkin bo’lgan funksiyalar to’g’ri berilgan javobni aniqlang.
    A) Левсимв, Срзнач B) Степень, Заменить C) Сумм, Срзнач D) Левсимв, Сумм
    
    
35. 
    Quyidagi html –hujjat kodi yozilishi bo’yicha kataklar ketma-ket sanalganda nechanchi katakda og’ma shriftli markerlangan ro’yhat qo’llanolgan?
    

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