A b,c – natural sonlar bo`lib, bo`lsa, a+b+c yig`ndining eng kichik qiymati nechaga teng?

1. 
   a.b,c – natural sonlar bo`lib, bo`lsa, a+b+c yig`ndining eng kichik qiymati nechaga teng?
   

A) 8 B) 1a0 C) 46 D) 23
2. Agar bo`lsa, quyidagilardan to`g`rilarini toping?
m) ad=bc n)
k) l)
A) m,l B) m,k,l C) m,n,k,l D) n,k
3. (3²+1)(3⁴+1)(3⁸+1)(3¹⁶+1)(3³²+1)- hisoblang.
A) 3⁶⁴-1 B) -0,125 C) -1 D)
4. Agar x³+x-1=0 bo`lsa, ifodaning qiymatini toping?
A) 2 B) 4,5 C) 0 D) 1,5
5. x,y,z – noldan farqli sonlar bo`lib,
(-5)<sup>2014</sup>x<sup>3</sup>y<sup>3</sup>z<sup>n-1</sup> va (-7)<sup>2015</sup>x<sup>2</sup>y<sup>5</sup>z<sup>n+1</sup> ifodalar bir xil ishorali bo`lsa, x – soni to`grisidagi to`g`ri tasdiqni aniqlang.
A) x>0 B) x<0 C) x=1 D) 06. k ning y=kx-3x-7+k funksiyaning grafigi I,III va IV choraklardan o`tadigan qiymatlarining o`rta arifmetigini topin
A) 2,5 B) 3 C) 5 D) 0
7. va tenglamani ildizlari bo’lib, shartni bajarsa, ni toping.
A) 18 B) C) 3 D) 0,(3)
8. Davri 0 yoki 9 dan farqli bo`lgan cheksiz davriy kasrlarni ko`rsating

A) m,n,q B) m,n,q,l C) p,l D) m,q,l
9. p²-a²+2ab-b² ko`paytuvchiga ajrating
A) (p-a)(2a+b) B) (a-b+p)(p-a+b)
C) (p-b)(a-2b) D) (a+2b)(p-a)
10. Agar a>2, b>3, c>1 bo`lsa, a+ab+abc² ifodaning eng kichik butun qiymatini toping?
A) 63 B) 15 C) 24 D) 32
11. |10+|x+9|+|x-8|+|x+7|+|x-6|+|x+5|+|x-4|+|x+3||=2 tenglama ildizlari yig`indisini hisoblang?
A) 0 B) 3 C) D) -1
12. Aylanadagi nuqtadan markazidan 10sm va 8sm masofadan o`tuvchi ikkita o`zaro perpendikulyar vatar o`tkazilgan bo`lsa,shu vatarlar uzunliklari yig`ndisini toping?
A) 18 B) 36 C) 32 D) 24
13. a ning qanday qiymatlarida
y=x²-8x-2ax+a²+7a+17 parabola uchi
I chorakda joylashadi?
A) (-4;1) B) (-4;4) C) (-1;4) D) (-1;1)
14. - = bo`lsa, b+c ni toping?
A) 11 B) 7 C) 10 D) 8
15. + ifodani soddalashtiring?
A) a/b B) a-b C) 1 D) 0
16. a ning qanday qiymatlarida (a²-4a+2)x=a-x-3 tenglama yechimga ega emas?
A) 3; 1 B) 3 C) 1 D) -3; -1
17. Agar arifmetik progressiyada S_n=240 ga va a₃+a_n-2=40 bo`lsa, n – nechaga teng?
A) 12 B) 6 C) 24 D) 8
18. Cheksiz kamayuvchi geometrik progressiyaning yigindisi 8 ga,hadlari kvadratlari yig`indisi esa 48 ga teng bo`lsa,shu progressiyaning mahrajini toping?
A) B) C) 0,5 D) 0,75
19. x – shu
tenglamaning ildizi bo`lsa, ning qiymatini toping?
A) 2 B) 0.5 C) 4 D) 0,25
20. lg5=a va lg3=b bo`lsa, log₃₀⁸ ni a va b orqali ifodalang?
A) B)
C) D)
21. Tengsizlikni yeching: sinx> cosx
A) , n Z
B) , n Z
C) , n Z
D) , n Z
22. Uchburchakka ichki chizilgan aylana uning bir tomonini 6sm va 8sm bo`lgan kesmalarga ajratdi.Agar shu tomon qarshisidagi burchak 60 gradusga teng bo`lsa,uchburchak yuzini toping?
A) 48 B) 10 C) 18 D) 12
23. Agar va bo’lsa
va vektorlar orasidagi burchakni toping.
A) 135 B) 60 C) 150 D) 120
24. k ning qanday qiymatlarida
f(x)=x³-kx²+3x+1 funksiya o`suvchi bo`ladi?
A) (- ;-3)v(3; ) B) [-3;3]
C) (-3; ) D) (-3;3)
25. Parallegramning o`tkir burchagi bissektrisasi uning diagnalini 4 sm va 6 sm bo`lgan kesmalarga ajratdi.Agar perimetri 32 sm bo`lsa,
parallegramning kichik tomonini uzunligini toping?
A) 8,6 B) 6,4 C) 10 D) 4
26. Soddalashtiring (ctga-cosa) =
A) 1+sin²a B) sin2a C) cos²a D) 1
27. Trapetsiyaga ichki chizilgan aylana raduisi 6sm ga teng,o`rta chizig`i 15sm bo`lsa kichik asosini uzunligi toping?
A) 12 B) 7,5 C) 6 D) 7
28. To`rtta sonning yig`indisi 160 ga teng.Agar 1-sonni 2-siga bo`lsak,bo`linma 2 ga va qoldiq 18. 2-sonni 3-siga bo`lsak bo`linma 3, qoldiq 5. 3-sonni 4-siga bo`lganda esa bo`linma 1, qoldiq 5 ga teng bo`lsa, 1- va 4- sonlarning yig`indisini toping.
A) 53 B) 107 C) 19 D) 141
29. Raduisi 15sm bo`lgan sharga ichki chizilgan konus balandligi 12sm ga teng bo`lsa, konus hajmini toping?
A) 864 B) 216 C) 486 D) 900
30. A(-2;5) nuqtaning (2;4) nuqtaga nisbatan simmetrik nuqtasidan OX o`qigacha bo`lgan masofani aniqlang?
A) 6 B) 3 C) 3 D) 4,5