Relations and Functions  MCQs

MCQs of Relations and Functions

Showing 21 to 30 out of 98 Questions
1 2 3 4 5 6
21.
A = {1, 2, 3, ..., 10}, S = {(x, y) Ι y = 2x}, then S _____
(a) is reflexive
(b) is symmetric
(c) is transitive
(d) none of these
Answer:

Option (d)

22.
A = R, S = {(x,y) Ι y = x + 1} then S _____ relation.
(a) is equivalence.
(b) is reflexive, not symmetric and is transitive.
(c) is not reflexive, is symmetric and is transitive.
(d) is not reflexive, not symmetric and not transitive.
Answer:

Option (d)

23.
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)

24.
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)

25.
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)

26.
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)

27.
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)

28.
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)

29.
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)

30.
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)

Showing 21 to 30 out of 98 Questions
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