# Set Theory and Algebra MCQ - Sets

81:

Relation R defined on a set N by R | (a, b) : |a - bl is divisible by 5 |, is

 A. reflexive B. symmetric C. transitive D. all of these Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
82:

Given : A = {x, y, z}; B = {u, v, w} The function f : A --> B deined by f(x) = u, f(y) = v, f(z) = w, is

 A. surjective B. bijective C. injective D. none of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
83:

IfA and B are sets, then which of the following is FALSE ?

 A. A - B' = A  ∩ B B. A ⊂ B ⇒ B' ⊂ A' C. A - (A - B) = A ∩  B D. None of these Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
84:

If R = ((a, b) l a, b are positive integers such that a - b is on ODD positive integer), then relation R is

 A. reflexive B. symmetric C. transitive D. equivalence Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
85:

A = (string of 0's and l's). Relation d on A is defined as x dy if x is a sub string ofy (Ex. 01 d 101), Then d is

 A. symmetric B. anti symmetric C. equivalence D. reflexive and symmetric Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here: