1271. The set of all inner automorphism of a group G, I(G) is normal subgroup of :

A. G
B. A(G) *
C. Z(G)
D. None

1272. A group G has no proper normal subgroup . Then G is called :

A. Complete
B. Improper
C. Simple *
D. None

1273. If group G is not simple then order of G is :

A. 35
B. 410
C. 2540
D. All of these *

1274. Which of the following is a ring :

A. Z *
B. Q
C. R
D. All of these

1275. Which of the following is a smallest ring :

A. {1}
B. {0}
C. {0,1} *
D. Z

1276. A ring without zero divisors is called :

A. Commutative ring
B. Division ring
C . Integral domain *
D. Field

1277. Finite integral domain is :

A. Division ring
B. Skew field
C. Field *
D. None

1278.If a ring R with unity Satisfies the multiplicative property of invers then R is called :

A. Integral domain
B. Division Ring *
C. Field
D. Semi-ring

1279. A commuttive division ring is called :

A. Integral domain
B. Skew field
C. Field *
D. None

1280. Which of the following is not field :

A. Z *
B. Q
C. R
D. C