1281. Let x be a ring much that all the subring of X are also ideal of X. Then X is :

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

1282. A field without a proper subfield is called :

A. Prime field *
B. Simple field
C. Quotient field
D. None

1283. Which of the following is a prime field :

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

1284. LeT X be a vector space over itself then X is :

A. Group
B. Ring
C. Integral domain
D. Field *

1285. Which of the following is a vector space over Q :

A. Z
B. Q *
C. C
D. None

1286. Which of the folowing is a subspace of R over Q :

A. Z
B. Q *
C. C
D. None

1287. Let V be a vector space . Then Which of the following is a subspace of V :

A. {0} *
B. {1}
C. {0,1}
D. None

1288. The dimension of a vector space is number of elements in its :

A. Subspace
B. Base *
C. Centre
D. Field

1289. Every finite dimensional vector space has a :

A. Spanning set of vectors
B. Set of linearly independent vectors
C. Base
D. All of these *

1290. Which of the following is a linear transformation:

A. Zero Transformation
B. Identity transformation
C. Differential transformation
D. All of these *