Ninng eng katta qiymatini toping. A 18 b 20 c 22 d 24

1. 
   Agar 2m+3n=72(m,n N) bo’lsa, n ninng eng katta qiymatini toping.
   

A)18 B)20 C)22 D)24

2. 
   x=3,61(91), y=3,62, z=3,6(191) va t=3,619(1) sonlarni kamayish tartibida yozing.
   

A)y>x>z>t B)y>x>t>z C)x>z>y>t D)y>t>z>x

3. 
   Kitobning narxi 12500 so’m edi. Dastlab narxi 16% arzonlashdi, so’ng 1850 so’m qimmatlashdi.Kitobning oxirgi narxi necha so’m bo’ldi?
   

A)12350 B)12260 C)12220 D)12450

4. 
   Arifmetik progressiyaning yettinchi hadi birinchi hadining 25%iga teng . Agar a₂+a₄+a₆=90 bo’lsa birinchi va beshinchi hadi yig’indisini toping
   

A)72 B)78 C)82 D)76

5. 
   Hisoblang.
   
   

A)1/2 B)1/5 C) 2/3 D) 1

6. 
   Agar P=3a²+4b, Q= -2a²-3b bo’lsa, P+Q+4b ni toping.
   

A) a²+5b B) -a²-5b C) -a²+5b D) a²-5b

7. 
   Agar xy=5 va z+y=-5 bo’lsa, (3+2x)²▪y+(3+2y)²▪z ifodaning qiymatini toping.
   

A)5 B)-5 C)0 D)-25

8. 
   f(x)=3^|x| - 2 funksiyaning qiymatlar sohasini toping.
   

A)(-2;+∞) B) (-1;+∞) C) [-1;+∞) D) (0;+∞)

9. 
   Agar 0

A)log₂log_a(a+1) B)log_alog_a(π/4) C)log₂log_alog₂3 D)lglglga

10. 
    Agar f(x) = log₃(x² – 6x+27) + 6 bo’lsa, f(2) ning qiymatini toping.
    

A)6 + log₃7 B) 6 + log₃19 C)9 D)8

11. 
    log₂²x+2≥3log₂x tensizlikni yeching.
    

A)(0;2]U[4; ∞) B)[2;4] C) (0;1/4]U[1/2; ∞) D) (-∞;2]U[4; ∞)

12. 
    (x+1)▪(|x|-1)=3 tenglama nechta haqiqiy ildizga ega?
    

A)4 B)2 C)1 D)0

13. 
    k ning qanday qiymatlarida tenglamaning ildizi 1dan kichik bo’ladi?
    

A)5 B)13 C)10 D)7

14. 
    lg(log₃(2+log₃(x-2)))=0 tenglamaning ildizi x₀ bo’lsa, 3x₀-2 ning qiymatini toping.
    

A)5 B)13 C)10 D)7

15. 
    Agar log₃₀250=m bo’lsa, log₃5 ni m orqali ifodalang.
    

A) B) C) D)

16. 
    52314 sonining raqamlari joylarni almashtirib, 1 bilan tugaydigan nechta har xil son hosil qilish mumkin.
    

A)30 B)25 C)24 D)20

17. 
    100 kishidan iborat sayyohlar guruhidan 60%i ingliz tilini, 50%ini fransuz tilini, 17%i esa ikkala tilni biladi. Nechta sayyoh ikkala tilni ham bilmaydi?
    

A)11 B)8 C)6 D)7

18. 
    k ning qanday qiymatlarida a(-2;k+4;k+1) vektorning uzunligi 7ga teng bo’ladi?
    

A)2 va 7 B) -2 va 7 C) -2 va -7 D) 2 va -7

19. 
    Silindrning balandligi 5 ga teng, o’q kesimining diognali 13 ga teng.Slindr asosining radiusini toping.
    

A)4 B)12 C)6 D)6

20. 
    To’g’ri burchakli uchburchakka ichki va tashqi chizilgan aylanalar chizilgan agar uchburchak katetlari 6 va 8 ga teng bo’lsa, aylanalar markazlari orasidagi masofani toping.
    

A) B) C)2 D)

21. 
    ABCD trapetsiya AB katta asosida E nuqta olingan, CE kesma AD yon tomoniga parallel. Agar AE:EB=3:5 bo’lsa AECD to’rtburchak yuzini BCE uchburchak yuziga nisbatinin toping.
    

A) 3/2 B)5/6 C)3/5 D)6/5

22. 
    Agar rombning bir diognalii 50%ga kamaytirib, ikkinchi diognali 2marta uzaytirilsa, rombning yuzi qanday o’zgaradi?
    

A)o’zgarmaydi B)50%ga ortadi C)aniqlab bo’lmaydi D)50%ga kamayadi

23. 
    x²+y²-12x+6y+9=0 tenglama bilan berilgan aylana markazlarini toping.
    

A)(6;-3) B) (-6;3) C) (-3;6) D) (3;-6)

24. 
    Markazi (0;0) nuqtada bo’lgan aylanadagi A(0:2) nuqtani soat mili harakatti yo’nalishida aylana bo’ylab 60 ̊ ga burish natijasida hosil bo’lgan nuqtaning koordinatalari yig’indisini toping.
    

A)1 B)1- C)1+ D) 2

25. 
    Integralni hisoblang.
    

A)1/4 B)1/8 C) -1/8 D)0

26. 
    Agar f(x) 9-darajali ko’phad bo’lsa, y=(x-1)²▪f(x)+x funksiyaning x₀ nuqtadagi hosilasini toping.
    

A) -1 B)0 C)1 D)2

27. 
    f(x)=x²+kx-1 funksiya absissalar o’qini ikkita nuqtada kesib o’tadigan b ning barcha qiymatlarini toping.
    

A)b<-2 B)b R C)b<2 D)b>2

28. 
    |25-x²|▪(x²-10x+20<0 tengsizlikning butun yechimlari soni a bo’lsa, (a²+2)/4 ni hisoblang.
    

A)0,5 B)0,75 C)1,5 D)2,75

29. 
    Agar ( tenglamaning ildizlari x₁ va x­₂ bo’lsa u holda |x₁-x₂| ni toping.
    

A) B) C) D)

30. 
    y=log³₃x funksiyaning qiymatlar to’plamini toping.
    

A)(12;∞) B) (-∞;∞) C) (0;∞) D) (-∞;12)