Relations and Functions  MCQs

MCQs of Relations and Functions

Showing 91 to 100 out of 145 Questions
7 8 9 10 11 12
91.
The identity element for a ∗ b = a + b - 2 on Z is _____ and inverse of a is _____.
(a) 0, 2 - a
(b) -2, -2 + a
(c) 2, 4 - a
(d) cannot be found
Answer:

Option (c)

92.
The identity element for a ∗ b = a + b - ab on R - {1} is _____ and the inverse of a is _____.
(a) 0, -aa - 1
(b) 0, a
(c) 0, a - 1
(d) 0, aa - 1
Answer:

Option (d)

93.
For a ∗ b = a2 - b2, on R(a >b) the identity element is _____ and inverse element is _____.
(a) 0, cannot be found
(b) 1, cannot be found
(c) 0, a
(d) cannot be found
Answer:

Option (d)

94.
For a ∗ b = g.c.d. (a, b) on N, identity element is _____ and inverse element is _____.
(a) 1, 1
(b) 0, 0
(c) 1, a
(d) cannot be found
Answer:

Option (d)

95.
For A ∗ B = A ∩ B on P(X), where X ≠ Φ. The identity element is _____ and inverse element for X is _____.
(a) X, X
(b) Φ, X
(c) Φ, Φ
(d) X, Φ
Answer:

Option (a)

96.
For A ∗ B = A ∪ B on P(X), where X ≠ Φ. The identity element is _____ and inverse element for X is _____.
(a) Φ, Φ
(b) Φ, cannot be found
(c) Φ, X
(d) X, X
Answer:

Option (b)

97.
The number of equivalence relation on {1, 2, 3} containing (1, 2) is _____.
(a) 1
(b) 2
(c) 3
(d) 8
Answer:

Option (b)

98.
The relation S = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)} on A = {1, 2, 3, 4, 5} is _____.
(a) symmetric only
(b) reflexive only
(c) transitive only
(d) an equivalence relation
Answer:

Option (d)

99.
Which of the following defined on Z is not an equivalence relation ?
(a) (x, y) ∈ S ⇔ x ≥ y
(b) (x, y) ∈ S ⇔ x = y
(c) (x, y) ∈ S ⇔ x - y is a multiple of 3
(d) (x, y) ∈ S ⇔x - y even
Answer:

Option (a)

100.
If a ∗ b = ab2 on Q+, then the identity for ∗ is  _____.
(a) 2
(b) 3
(c) 0
(d) 1
Answer:

Option (a)

Showing 91 to 100 out of 145 Questions
7 8 9 10 11 12