Set Theory and Algebra MCQ - Sets

91:

Which of the following is a partition of the set S = {l, 2, 3, 4, 5, 6} ?

A.	[{(I, 3, 5), {2, 4}, {3, 6)]
B.	[{I, 5}, {2}, {3, 6)]
C.	[{(I, 5), {2}, {4}, {l, 5}, {3, 6)]
D.	[{I, 2, 3, 4, 5, 6}]
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	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

92:

The domain and range are same for

A.	constant function
B.	identity function
C.	absolute value function
D.	greatest integer function
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	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

93:

The number of functions
f : (1, 2, 3,......., n), → (1, 2,..........., m),
which are one-to-one is

A.	mⁿ
B.	m (m - 1) (m - 2) ..........(m - n + 1)
C.	n^m
D.	n (n - 1) (n - 2)............(n - m + 1)
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	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

94:

A ∪ B = A ∩ B if and only if

A.	A is empty set
B.	B is empty set
C.	A and B are non-empty sets
D.	A and B are empty sets
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	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

95:

The function f : Z → Z given by f(x) = x2 is

A.	one-one
B.	onto
C.	one-one and onto
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..

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