1151. G= {1, 2, 3, 4, 5, 7, 8} under multiplication modulo 9 is :

A. Semi group
B. Monoid
C. Group
D. Abelian *

1152. In a group of even order, there at least __________ elements of order 2:

A. One *
B. Two
C. Three
D. None

1153. The number of subgroups ofa group is :

A. One
B. At least two *
C. At most two
D. Two

1154. Which of the following is a subgroup of group G = {0,1,2,3} w.r.t addition modulo 4.

A. {0,1}
B. {0,2} *
C. {1,2}
D. {0,1,3}

1155. Let G be a cyclic group. Then subgroup H of G is :

A. Alelian
B. Cyclic
C. Generated by single element
D. All of these *

1156. Let G be a cyclic group of order 24 and H be a subgroup of G. Then order of H is :

A. 5
B. 7
C. 8 *
D. 10

1157. Let G be a cyclic group of order 17 Then number of subgroups of G is :

A. 2 *
B. 8
C. 17
D. 34

1158. Let G be a cyclic group of order 10 Then number of subgroups of G is :

A. 2
B. 5
C. 4 *
D. 10

1159.The number of distinct left cosets of a group H of a group G is called ________ of H in G.

A. Index *
B. Order
C. Element
D. Partition

1160. If G is an Abelian, then which of the following is the order of G :

A. 5 *
B. 6
C. 7
D. 24