**1181. The only idempotent element in a group is :**

A. Inverse element**B. Identity ***

C. Element of order two

D. Finite order element

**1182. A group all whose elements are of finite order is called :**

**A. Periodic group ***

B. Symmetric group

C. Finite group

D. Local group

**1183. A group is one in which every element, with the exception of the identity, has infinite order:**

A. Torsion free

B. a- periodic

C. Locally infinite**D. All of these ***

**1184. If a group is neither periodic nor torsion free then G is :**

**A. Mixed group ***

B. Infinite group

C. Free group

D. Symmertic group

**1185. Which of the following group with binary operation of ordinary addition is torsion free:**

A. Z

B. R

C. C**D. All of these ***

**1186. If a homomorphism is also subjective the it is called :**

A. Monomorphism**B. Epimorphism ***

C. Isomorphism

D. None

**1187. A monomorphism is a homomorphism which is also :**

**A. Injective ***

B. Subjective

C. Bijective

D. Onto

**1188. A bijective homomorphism is called :**

A. Epimorphhism

B. Monomorphism**C. Isomorphism ***

D. None

**1189. The relation of Isomorphism between group is :**

A. Symmetric relation

B. Transitive relation**C. Equivalence relation ***

D. Total order relation

**1190. Let E be a group of even integers under binary operation of addition Then which of the following isomorphic to E:**

**A. Z ***

B. Q

C. R

D. C