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
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	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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
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	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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
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	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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
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	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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
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	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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