1. Taqqoslamaning darajasini pasaytiring. 3x

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25
a	A	A	A					A	A			A	A			A	A		A
b				B							B			B	B
c							C											C		C	C		C	C
d					D	D				D												D			D

2-variant

1. taqqoslama qanday shartda yagona yechimga ega emas. A) B )* C) D)
2. 9751432521 son 37ga bo’lganda hosil bo’lgan qoldiqni toping. a)3 b)*11 c)5 d)1
3.Berilgan taqqoslamani yeching:
^{A) B) C) D) *}
4. Taqqoslamaning darajasini pasaytiring x¹⁰¹+2x⁴+x²+3=0(mod 101) A.*x²+x+5 B.x²+3x+5 C. x+3 D. 7x+4
5. n= sonning bo`luvchisi d bo`lishi uchun d sonning kanonik yoyilmasi d= bo`lib, bunda..........bo`lishi zarur va etarli
A)*iI (i= ) B) iI (i= ) C) i=I (i= ) D) I : I (i= )
6. O`zapo tub sonlar quyidagi xossaga ega: A)* .((a; c)=1  (b;c)=1=>((ab;c)=1). B) .((a; c)=1  (b;c)=1 ((ab;c)=1)
C) .((a; c)=1 (b;c)=1=>((ab;c)=1) D) .((a; c)=1  (b;c)=1=>((ab;c) 1)
7. Agar (a₁,a₂,...a_n,)=d bo`lib, (a<sub>1</sub>,a<sub>2</sub>,)=d<sub>2</sub>, (d<sub>2</sub>,a<sub>3</sub>)=d<sub>3</sub>, ...,(d <sub>n-1</sub>;a <sub>n</sub>)=d <sub>n</sub> bo`lsa , u holda.....................
A )* d_n=d bo`ladi. B) d<sub>n</sub>=d<sub>k</sub> bo`ladi C) d_n=d_i bo`ladi D) d<sub>n</sub>=d<sub>n-1</sub> bo`ladi
8. a va b natural sonlar bo`lganda [a;b]= tenglik o`rinli.
A) (a;b) = B)* [a;b] = C) [a;b]/(a:b) = D)(a:b)/ [a;b] =
9. Taqqoslamaning ikki qismini va modulini bir xil musbat songa................, taqqoslamaning ikki qismi va moduli umumiy ko`paytuvchiga ega bo`lsa, u holda bu taqqoslamaning ikki qismi va modulini bu umumiy ko`paytuvchiga .............mumkin.
A) ko`paytirish B) * ko`paytirish , bo`lish C) ko`paytirish D) bo`lish , ko`paytirish
10. ...........................taqqoslamaning ikki qismini bir xil butun songa ko`paytirish mumkin.
A) murakkab B) doimo C) tub modulli D) * Modulni o`zgartirmagan holda
11.Agar x y(mod m) bo`lsa, u holda ixtiyoriy butun koeffitsientli f(x)=a0x<sup>n</sup>+a<sub>1</sub>x <sup>n-1</sup>+... +a <sub>n-1</sub> x+a <sub>n</sub> , f(y)=a<sub>0</sub>y<sup>n</sup>+a<sub>1</sub>y <sup>n-1</sup>+...+a <sub>n-1</sub> y+a <sub>n</sub> ko`phadlar uchun ...............................o`rinli bo`ladi. A) tenglik B)* f(x)=f(y) (mod m) taqqoslama C) x : y D) x=y
12. EKUB(1476, 3960, 3360)=? A) 18 B) 24 C) 6 D)* 12
13. O`zapo tub sonlar quyidagi xossaga ega:
A) ((a;b)=d)=>(( ) 1) B) ((a;b) d)=>(( )=1) C)* ((a;b)=d)=>(( )=1) D) ((a;b)=d) (( ) 1)
14. f(x) 0(mod p) taqqoslamada a₀ bosh koeffitsient r ga bo`linmasa, u holda f(x) 0(mod p) taqqoslama ...........bo`lgan boshqa bir taqqoslamaga teng kuchli bo`ladi. A)* a₀=1 B) a₀ tub C) a₀ butun D) a₀ musbat
15. Darajasi n (n>r) bo`lgan r tub modulli taqqoslama darajasi .............dan katta bo`lmagan taqqoslamaga teng kuchli bo`ladi.
A)n – 1 B) * r-1 C) n+1 D) r+1
16. taqqoslama qanday shartda yagona yechimga ega emas A) B )* C) D)
17. taqqoslama nechta echimga ega? a) * 7 b)8 c)9 d)10
18. Uzluksiz kasrni oddiy kasrga aylantiring: . a) b) c) d) *
19. kasrga quyidagi uzluksiz kasrlardan qaysinisi teng? a) b) c) d) *
20. Taqqoslamaning ildizi nimaga teng: .
a)* _{b) c) d)}
21.a natural sonning eng kichik tub bo’luvchisi qaysi sondan katta emas
А) * В) С) D)
22.Quyidagilarning qaysi biri ikkinchi darajali bir noma’lumli taqqoslama
А) (mod m) В) (mod m)
С) (mod m) D) (mod m)
23. Sonning butun qismi nechaga teng: _{a)*3 b)4 c)5 d)6}
24.Berilgan sonlarning EKUB va EKUK larini toping a = 1786 ; b = 705 .
А) * EKUB=1 va EKUK=1259130 В) EKUB=3 va EKUK=12591300
С) EKUB=1 va EKUK=125030 D) EKUB=15 va EKUK=125030
25.Berilgan taqqoslamani yeching 6 x ≡ 11( mod 14 )
А) * x= Ø В) X ≡ 1( mod 14 ) С) X ≡ 2( mod 14 ) D) X ≡ 3( mod 14 )

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a				A	A	A	A							A			A			A	A		A	A	A
b	B	B						B	B		B				B	B
c												C	C									C
d			D							D								D	D

3-variant
1.Taqqoslamani yeching:
A) B) * C) D) Ø
2. taqqoslama qanday shartda d ta yechimga ega? A) * B) C) D)
3. ning kasr qismini toping: a)*0,85 b)0,8 c)0,95 d)0,9
4. Quyidagilardan qaysi biri Vilson teoremasini ifodalaydi? a) * !+1 0(modp) p-tub son b) (a,m)=1
c) (a,p)=1 p-toq tub son d)
5.Berilgan taqqoslamalarni yeching:
A) B)* C) D)
6. Yig‘indi nechaga teng ( - Eyler funksiyasi): _{a)*80 b)122 c)110 d)85}
7.Taqqoslamani yeching: A) B ) C) * D)
8. Tenglamaning ildizi nechaga teng: ( - Eyler funksiyasi) a)* b) c) d)
9.Taqqoslamani yeching:
A) B)
C) D)*
10 . Yig‘indini toping ( - ning butun qismi, -kasr qismi): _a) * _{b) c)0 d)6}
11. O`zapo tub sonlar quyidagi xossaga ega: A) ((a;b)=1)=>((an;bn)=1) (nZ) B)* ((a;b)=1)=>((an;bn) 1) (nN)
C) ((a;b)=1)=>((an;bn)=1) ( nN) D) ((a;b)=1)=>((an;bn)=1) (nN)
12. O`zapo tub sonlar quyidagi xossaga ega: A) ((a:b)(a:c)((b;c) 1)=>(a:bc) (b0, c0) B) ((a:b) (a:c)((b;c)=1)=>(a:bc) (b0, c0)
C) ((a:b)(a:c)((b;c)=1)=>(a:bc) (b=0, c=0) D)* ((a:b)(a:c)((b;c)=1)=>(a:bc) (b0, c0)
13.Agar bir vaqtda ....................(I = ) va x = y (mod m) taqqoslamalar o`rinli bo`lsa, u holda
x <sub>n</sub> + a <sub>1</sub> x <sup>n-1</sup> l + ...+ a <sub>n-1</sub> x +a <sub>n</sub> = b <sub>0</sub> y <sup>n</sup> + b <sub>1</sub> y <sup>n-1</sup> +...+b <sub>n-1</sub> y+b <sub>n</sub> (mod m) taqqoslama o`rinli bo`ladi.
A)* a _i = b _i (mod m) B) a ⁿ_i = bⁿ _i (mod m) C) ax _i = by _i (mod m) D) a _n = b_n (mod m)
14. m ga bo`linganda r ga teng bir xil qoldiq beradigan butun sonlar to`plami m Modul bo`yicha ,,,,,,,,,,,,,,,,,,,,,,,,deyiladi va uni kabi belgilanadi.
A)taqqoslanuvchi B) to`liq chegirmalar sinflari C)keltirilgan chegirmalar sinflari D)* chegirmalar sinflari
15. m Modul bo`yicha tuzilgan har bir chegirmalar sinfidan erkinlik bilan bittadan element olib tuzilgan to`plamga m Modul bo`yicha chegirmalarning ..............deyiladi. A)keltirilgan sistemasi B) sanoqli sistemasi C)* to`la sistemasi D) sinfi
16. Agar (a; m)=1 bo`lsa, u holda ...................o`rinli bo`ladi.
A) _a^m-1 = 1(modm) taqqoslama B) a = 1(modm) taqqoslama C)* a ^(m) = 1(modm) taqqoslama D) a^m= 1(modm)
17. Agar c son (1) taqqoslamani qanoatlantirsa, u holda chegirmalar sinfiga tegishli ..........son ham ax b (mod m) taqqoslamani qanoatlantiradi.
A)tub B) butun C)* ixtiyoriy D) natural
18. Agar f(x) = a₀x ^p+a₁x ^n-1 +...+a _n-1 x+a _n ,a _iZ, r-tub son, ...............u holda ushbu f(x) 0(mod p)
taqqoslamaga tub modulli p-darajali bir nomalumli taqqoslama deyiladi. A) a₀ r B) a_{0 =} r C) a₀ : r D) *a ₀ son r ga bo`linmasa,
19.Bеrilgаn kаsrning Lеjаndr simvоlini tоping. A)-1 B) aniqlanmagan C) *1 D) 0
20. Berilgan sonlardan qaysi biri tub son bo‘ladi? a)*191 b)219 c)321 d)345
21. Berilgan sonlarning EKUBi nimaga teng: 992. 126 va 403 a)*3 b)4 c)5 d) 6
22. tenglamaning butun echimlarining umumiy ko‘rinishi qaysi javobda berilgan?
a) * b) c) d)
23. 3 ga bo‘linganda 1, 5 ga bo‘linganda esa 4 qoldiq qoladigan sonlarni toping
a)* b) c) d)
24. 10 ! ni tub ko’paytuvchilarga kanonik yoyilmasini toping
A). 1×2⁸ × 3³ × 5² × 7 B) 1×2⁸ × 3⁴ × 5³ × 7 C) 1×2⁷ × 3⁴ × 5² × 7 D)*1×2⁸ × 3⁴ × 5² × 7
25. 76501, 29719 sonlarining EKUB ini toping. A)*EKUB (76501;29719)=113 B) EKUB (76501;29719)=13 C) EKUB (76501;29719)=11
D) EKUB (76501;29719)=117