Explore topic-wise MCQs in Asymmetric Ciphers.

This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Asymmetric Ciphers knowledge and support exam preparation. Choose a topic below to get started.

1.

The group G = <Zp*, > is always cyclic.

A. True
B. False
Answer» B. False
Discussion
2.

Find the primitive roots of G = <Z10*, >.

A. {2, 6, 8}
B. {3,6 ,9}
C. {3, 7, 8}
D. {3, 7}
Answer» D. {3, 7}
Discussion
3.

If a group has primitive roots, it is a cyclic group

A. True
B. False
Answer» B. False
Discussion
4.

Find the primitive roots of G=<Z11*, x>?.

A. {2, 6, 8}
B. {2, 5, 8}
C. {3, 4, 7, 8}
D. {2, 6, 7, 8}
Answer» E.
Discussion
5.

Find the number of primitive roots of G=<Z11*, x>?

A. 5
B. 6
C. 4
D. 10
Answer» D. 10
Discussion
6.

Which among the following values: 17, 20, 38, and 50, does not have primitive roots in the group G = <Zn*, >?

A. 17
B. 20
C. 38
D. 50
Answer» C. 38
Discussion
7.

The order of group G= <Z9, x> , primitive roots of the group are

A. 8 , Primitive roots- 2,3
B. 6 , Primitive roots- 5
C. 6 , Primitive roots- 2,5
D. 6 , Primitive roots- 5,7
Answer» D. 6 , Primitive roots- 5,7
Discussion
8.

In the order of group G= <Z20*, x>, what is the order of element 17?

A. 16
B. 4
C. 11
D. 6
Answer» C. 11
Discussion
9.

In the group G = <Zn*, >, when the order of an element is the same as order of the group (i.e. f(n)), that element is called the Non primitive root of the group.

A. True
B. False
Answer» C.
Discussion
10.

Find the order of group G= <Z20*, x>

A. 6
B. 9
C. 10
D. 8
Answer» E.
Discussion
11.

Find the order of the group G = <Z21*, >?

A. 12
B. 8
C. 13
D. 11
Answer» B. 8
Discussion
12.

Find the order of the group G = <Z12*, >?

A. 4
B. 5
C. 6
D. 2
Answer» B. 5
Discussion