Number Theory MCQs

Number Theory Quiz Outline

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Created on January 04, 2022 By

Quizllc

Number Theory MCQs

1 / 20

GCD of (76,8) is ?

2 / 20

If a≡b and c≡d with (mod m) then?

ab≡cd

ac≡bd

ad≡bc

None

3 / 20

Congruent Classes of modulo m is?

0,1,2,3…..m

0,1,2,3…..m-1

1,2,3…..m-1

1,2,3…..m

4 / 20

In CRS any two elements of set A arefor (mod m)?

Congruent

In-congruent

Equivalent

None

5 / 20

In Number Theory we study about the extension of integers?

Algebraically

Analytically

Both A and B

None

6 / 20

Convert 〖(223)〗_10 into base 5?

1344

1343

1433

None

7 / 20

Common divisors of (-2,-4) are ?

{1,2}

{-1,-2}

Both A and B

None

8 / 20

GCD of 4 and 8 is ?

None

9 / 20

If c/ab and (c,a)=1 then ?

c/a

c/b

a/b

None

10 / 20

If (b,c)=1 and a/c then ?

(a,b)=1

(a,c)=1

Both A & B

None

11 / 20

If (a,b)=d then (ma,mb)=?

None

12 / 20

If (b,c)=1 then (a,bc)=?

(a,c).(b,c)

(a,b).(a,c)

Both A & B

None

13 / 20

If (a,b)=1 then (a,bc)=?

(a,b)

(b,c)

(a,c)

None

14 / 20

GCD of (20, 105, 990) is ?

Both A & B

None

15 / 20

If (a,b)=d then ?

(a/d,b/d)=d

(a/d,b/d)=1

Both A & B

None

16 / 20

Linear Diophantine Equation has an integral solution iff?

(a,b)/c

(a,b)/d

(a,b)/t

None

17 / 20

In Linear Diophantine Equation, the solution x_0,y_0 are?

General Solutions

Integral Solutions

Specific Solutions

None

18 / 20

If ab≡c and b≡d with (mod m) then ?

ad≡c

ab≡d

ad≡c

None

19 / 20

Each Congruent class of modulo 5 is to each other?

Same

Different

Equal

None

20 / 20

Find Remainder when 3^21 is divided by 8?

None

Your score is

The average score is 25%

Number Theory MCQs with Answers

Each Congruent class of modulo 5 is to each other.

A. Same
B. Different
C. Equal
D. None
View Answer

B. Different

If ab≡c and b≡d with (mod m) then.

A. ad≡c
B. ab≡d
C. ad≡c
D. None
View Answer

C. ad≡c

If a and b have same remainder after division by m then for (mod m).

A. a and b are congruent
B. a and b are incongruent
C. a and b are equal
D. None
View Answer

A. a and b are congruent

In Linear Diophantine Equation, the solution x_0,y_0 are.

A. General Solutions
B. Integral Solutions
C. Specific Solutions
D. None
View Answer

C. Specific Solutions

Linear Diophantine Equation has an integral solution iff.

A. (a,b)/c
B. (a,b)/d
C. (a,b)/t
D. None
View Answer

A. (a,b)/c

LCM of any two numbers in represented as.

A.
B. |ab|/d
C. Both A and B
D. None
View Answer

C. Both A and B

Is LCM of any two numbers is unique.

A. Yes
B. No
C. May or may not
View Answer

A. Yes

If (a,b)=d then.

A. (a/d,b/d)=d
B. (a/d,b/d)=1
C. Both A & B
D. None
View Answer

B. (a/d,b/d)=1

GCD of (20, 105, 990) is.

A. 5
B. 15
C. Both A & B
D. None
View Answer

A. 5

If (a,b)=1 then (a,bc)=.

A. (a,b)
B. (b,c)
C. (a,c)
D. None
View Answer

C. (a,c)