**1261. The relation of conjugacy between elements of a group is :**

A. Symmetric relation

B. Total order relation**C. Equivalence relation ***

D. Lattice

1262. The relation of conjugacy between subgroups of a group is :

A. Symmetric relation**B. Equivalence relation ***

C. Total order relation

D. Lattice

**1263. Let H and K be two conjugate subgroups ofa group G . Then H and K are :**

A. Finite**B. Isomorphic ***

C. Infinite

D. Symmetric

**1264. Let G be a group such that all of its subgroups are normal . then G can be :**

A. Abelian Group

B. Hamiltonin Group

C. Identity Group**D. All of the above ***

**1265. A Subgroup of index 2 in a group is :**

**A. Normal ***

B. Abelian

C. Symmetric

D. None

**1266. Which of the following is a normal subgroup of Q of rational numbers w.r to additon :**

**A. Z ***

B. N

C. W

D. R

**1267. Let G be an abelian group. Then, at that point, which of the accompanying can be organization of G.**

A. 5

B. 25

C. 49**D. All of the above ***

**1268. Let G be an abelian group. Then which of the accompanying can’t be organization of G:**

A. 9**B. 16 ***

C. 25

D. 121

**1269. Let G be a group. The set of all automorphism A(G) is a :**

A. Semi Group**B. Group ***

C. Normal Subgroup

D. None

**1270. Which of the following group has all of its automorphism are inner automorphism :**

**A. S3 ***

B. Z

C. Q

D. R