1141. n/m means that n is factor of m, then the relation’/’ is:

A. Symmetric
B. Reflexive
C. Transitive and reflexive *
D. Equivalence

1142. Let r be a relation defined as a r b if /a/<b. Then relation r is :

A. Reflixive
B. Symmetric
C. Transitive *
D. Reflixive and symmetric

1143. Let r is be a relation defined as arb if ab +1>0. Then relation r is :

A. Reflexive
B. Symmertic
C. Transitive
D. Reflexive and symmetric *

1144. Number of non-empty subsets of the set {1,2,3,4} is :

A. 15 *
B. 16
C. 17
D. 14

1145. The relation ‘ less than’ in the set of natural number is :

A. Only symmetric
B. Only transitive *
C. Only reflexive
D. None

1146. The union of all positive even and all positive add integer is :

A. N *
B. W
C. Z
D. Z+

1147. Which binary operation is not defined in the set of natural number :

A. Addition
B. Subtraction *
C. Multiplication
D. None

1148. Which of the following is not a group of w.r.t addition :

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

1149. Which of the following is a group w.r.t multiplication :

A. Z
B. Q
C. Q-{0} *
D. R

1150. G = { 1,3,5,7} is a group .w.r.t multiplication modulo 8. Then inverse of 5 is :

A. 1/5
B. 5 *
C. 7
D. 3