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Welcome to the Number Theory and Cryptography MCQs Page

Dive deep into the fascinating world of Number Theory and Cryptography with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Number Theory and Cryptography, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Number Theory and Cryptography, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Number Theory and Cryptography. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Number Theory and Cryptography. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Number Theory and Cryptography MCQs | Page 3 of 13

Explore more Topics under Discrete Mathematics

Q21.
A Least Common Multiple of a, b is defined as __________

a.

It is the smallest integer divisible by both a and b

b.

It is the greatest integer divisible by both a and b

c.

It is the sum of the number a and b

d.

None of the mentioned

Discuss
Answer: (a).It is the smallest integer divisible by both a and b
Q22.
The LCM of two number 1, b(integer) are _________

a.

b + 2

b.

1

c.

b

d.

None of the mentioned

Discuss
Answer: (c).b
Q23.
If a, b are integers such that a > b then lcm(a, b) lies in _________

a.

a>lcm(a, b)>b

b.

a>b>lcm(a, b)

c.

lcm(a, b)>=a>b

d.

none of the mentioned

Discuss
Answer: (c).lcm(a, b)>=a>b
Q24.
LCM of 6, 10 is?

a.

60

b.

30

c.

10

d.

6

Discuss
Answer: (b).30
Q25.
The product of two numbers are 12 and their Greatest common divisor is 2 then LCM is?

a.

12

b.

2

c.

6

d.

None of the mentioned

Discuss
Answer: (c).6
Q26.
If LCM of two number is 14 and GCD is 1 then the product of two numbers is?

a.

14

b.

15

c.

7

d.

49

Discuss
Answer: (a).14
Q27.
If a number is 2² x 3¹ x 5⁰ and b is 2¹ x 3¹ x 5¹ then lcm of a, b is?

a.

2² x 3¹ x 5¹

b.

2² x 3² x 5²

c.

2³ x 3¹ x 5⁰

d.

2² x 3² x 5⁰

Discuss
Answer: (a).2² x 3¹ x 5¹
Q28.
State whether the given statement is True or False.

LCM (a, b, c, d) = LCM(a,(LCM(b,(LCM(c, d)))).

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q29.
LCM(a, b) is equals to _________

a.

ab/(GCD(a, b))

b.

(a+b)/(GCD(a, b))

c.

(GCD(a, b))/ab

d.

none of the mentioned

Discuss
Answer: (a).ab/(GCD(a, b))
Q30.
The lcm of two prime numbers a and b is _________

a.

a⁄b

b.

ab

c.

a + b

d.

1

Discuss
Answer: (b).ab
Page 3 of 13

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