1251. Let G be a finite group. Let H be a subgroup of G. Then which of the accompanying partitions request of G:

A. Order of H
B. Order of G
C. Index of H
D. All of the above *

1252. Let G be a group of order prime number. Then :

A. G is abelian *
B. G is trivial
C. G has 3 subgroups
D. None

1253. Which of the following is normal space :

A. Metric space
B. Discrete space with at least two points
C. Closed subspace of a normal space
D. All of the above *

1254. Which of the following is compact :

A. Coin finite space
B. Indiscrete space
C. A finite finite discrete space called x
D. All of these *

1255. Which of the following statement is true :

A. Compactness is topological property
B. A closed subset of a hausdorff space
C. Shut subset of a reduced space is minimal
D. All of the above *

1256. Which of the following is correct :

A. Every normal compact hausdorff space is *
B. Every compact regular space is normal
C. Every compact T1 space is normal
D. None

1257. Which of the following is convex :

A. Subspace of a linear space
B. Open ball in a normal space
C. Closed ball in a normal space
D. All of the above *

1258. Any two standards on a normed space characterized same geography in the event that the standards are :

A. Equivalent *
B. Not equivalent
C. Same
D. Complete

1259. Which one of the following is accurate?

A. If a function can be distinguished, then it must also be continuous *
B. A capability is consistently ceaseless then it is likewise persistent
C. A capability is consistently persistent then it is likewise separation
D. None

1260. At which point the function W= Z is continuous as well as differentiable :

A. 0 *
B. 1
C. -1
D. i