Relations and Functions  MCQs

MCQs of Relations and Functions

Showing 41 to 50 out of 145 Questions
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41.
S is defined on R by, (a, b) ∈ S ⇔ 1 + ab > 0, ∀ a, b ∈ R then S is _____.
(a) equivalence relation
(b) reflexive and transitive but not symmetric
(c) reflexive and symmetric but not transitive
(d) not reflexive and not symmetric but transitive
Answer:

Option (c)

42.
A = {1, 2, 3, ..., 14, 15}, S = {(x, y) Ι y = 5x, x,y ∈ A }, then S is _____.
(a) is reflexive but not symmetric and transitive
(b) is reflexive and symmetric but not transitive
(c) is reflexive, symmetric and transitive
(d) is not reflexive, not symmetric and not transitive
Answer:

Option (d)

43.
Let, S ⊂ (R × R). S = { (A, B )Ιd (A, B) < 2 },  then S is _____ relation.
(a) not reflexive
(b) not symmetrica
(c) not transitive
(d) equivalence
Answer:

Option (c)

44.
aSb if 6 Ι (a - b), a, b ∈ Z then one of the equivalence class is _____.
(a) {..., 1, 6, 12, 18, ...}
(b) {-11, -5, 1, 7, 13, ...}
(c) {1, 7, 13, 19, ...}
(d) {..., 1, 7, 13, 19, ...}
Answer:

Option (d)

45.
Let L be the set of lines in XY plane. Which of the following is an equivalence relation ?
(a) xSy ⇔ x ⊥ y
(b) xSy ⇔ x ‏|| y
(c) xSy ⇔ x = y or x ⊥ y
(d) xSy ⇔ x = y or x ⊥ y or x ‏|| y
Answer:

Option (d)

46.
f : N→N, f(n) = n2,n is evenn + 12,n is odd then f is _____.
(a) one - one and onto
(b) one - one but not onto
(c) not one - one but onto
(d) neither one - one nor onto
Answer:

Option (c)

47.
f : Z→Z, f(n) = n + 1,n is evenn - 3,n is odd,  then f is _____.
(a) one - one and onto
(b) one - one but not onto
(c) not one - one but onto
(d) neither one - one nor onto
Answer:

Option (a)

48.
f : Z→Z, f(n) = n - 2 ,n is even2n + 2,n is odd,  then f is _____.
(a) one - one and onto
(b) one - one but not onto
(c) not one - one but onto
(d) neither one - one nor onto
Answer:

Option (d)

49.

For f : R → R, f(x) = 5x + 7, f is _____.

(a) many - one and onto
(b) many - one and not onto
(c) one - one and onto
(d) one - one but not onto
Answer:

Option (c)

50.
For f : R → R, f(x) = 2 - 3x, f  is _____.
(a) one - one and onto
(b) one - one but not onto
(c) not one - one but onto
(d) neither one - one nor onto
Answer:

Option (a)

Showing 41 to 50 out of 145 Questions
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