Q.1
Find the order of group G= <Z7*, x>
  • a) 6
  • b) 4
  • c) 3
  • d) 5
Q.2
Find the order of the group G = <Z21*, ×>?
  • a) 12
  • b) 8
  • c) 13
  • d) 11
Q.3
Find the order of group G= <Z20*, x>
  • a) 6
  • b) 9
  • c) 10
  • d) 8
Q.4
Find the order of the group G = <Z12*, ×>?
  • a) 4
  • b) 5
  • c) 6
  • d) 2
Q.5
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
Q.6
In the order of group G= <Z20*, x>, what is the order of element 17?
  • a) 16
  • b) 4
  • c) 11
  • d) 6
Q.7
The order of group G= <Zx> , 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
Q.8
Which among the following values: anddoes not have primitive roots in the group G = <Zn*, ×>?
  • a) 17
  • b) 20
  • c) 38
  • d) 50
Q.9
Find the number of primitive roots of G=<Z11*, x>?
  • a) 5
  • b) 6
  • c) 4
  • d) 10
Q.10
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}
Q.11
If a group has primitive roots, it is a cyclic group
  • a) True
  • b) False
Q.12
Find the primitive roots of G = <Z10*, ×>.
  • a) {2, 6, 8}
  • b) {3,6 ,9}
  • c) {3, 7, 8}
  • d) {3, 7}
Q.13
The group G = <Zp*, ×> is always cyclic.
  • a) True
  • b) False
0 h : 0 m : 1 s