Set Theory and Algebra MCQ - Sets

86:

The function f : N --> N deined by f(n) = 2n + 3 is

A.	surjective
B.	not surjective
C.	injective
D.	none of these
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	Option: C Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

87:

The number of distinct relations on a set of 3 elements is

A.	8
B.	9
C.	18
D.	512
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	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

88:

If relation R over {a, b, c} is given by R = {(a, a), (a, b), (b, a), (b, b), (c, c)}, then which of the following properties does R have?

A.	Symmetry
B.	Reflexivity
C.	Transitivity
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..

89: Which of the following relations may be characterised as a function defined on the set I = {1, 2, 3, 4, 5} ?

A.	{ (x, y) I x, y ∈ I, X < Y }
B.	{ (x, y) I x, y ∈ 1, X > Y }
C.	{ (x, y) I x, Y ∈ I, x = y/2}
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..

90: A - (B ∪ C) is

A.	(A - B) ∪ (A - C)
B.	A - B - C
C.	(A - B) ∩ (A - C)
D.	A - (B ∩ C)'
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	Option: C Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

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