**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