Relations and Functions  MCQs

MCQs of Relations and Functions

Showing 31 to 40 out of 145 Questions
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31.
If f : R → R, f(x) = [x], g : R → R, g(x) = sinx, h : R →R, g(x) = 2x, then ho(gof) = _____
(a) sin[x]
(b) [sin2x]
(c) 2(sin[x])
(d) sin2[x]
Answer:

Option (c)

32.
If f : R → (-1, 1), f(x) = -x|x|1 + x2, then f-1 = _____
(a) 1x2 + 1
(b) -signum x |x|1-|x|
(c) - x1-x
(d)  x2x2+ 1
Answer:

Option (b)

33.
f : R → R, f(x) = -101   x<0x=0x>0g : R → R, g(x) = 1 + x - [x], then for all x, f(g(x)) = _____
(a) 1
(b) 2
(c) 0
(d) -1
Answer:

Option (a)

34.
If f : {x | x≥1, x ∈ R} → {x|x≥2, x∈R}, f(x)=x + 1x, f-1(x) = _____
(a) x+x2-42
(b) x-x2-42
(c) x2+1x
(d) x2-4
Answer:

Option (a)

35.
If f : R →R, f(x) = x - [x], then f-1(x) = _____
(a) does not exist
(b) is x
(c) is [x]
(d) x - [x]
Answer:

Option (a)

36.
f : R →R,f(x) = x2, g : R→R, g(x) = 2x, then {x| (fog)(x) = (gof)(x)} = _____
(a) {0}
(b) {0, 1}
(c) R
(d) {0, 2}
Answer:

Option (d)

37.
f : R →Z,f(x) = [x] is _____
(a) one-one and onto and has an inverse
(b) many-one and not onto, no inverse
(c) many-one and onto, no inverse
(d) one-one and not onto, no inverse
Answer:

Option (c)

38.

A = {0, 1, 2, 3, 4, 5, 6}. If a, b ∈ A, a ∗ b = remainder when ab is divided by 7. From binary operation table of ∗, inverse of 2 is _____

(a) 1
(b) 5
(c) 6
(d) 4
Answer:

Option (d)

39.
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)

40.
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)

Showing 31 to 40 out of 145 Questions
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