Chapter 1: Sets, Relations and Functions - Online Test
Q1. For non-empty sets A and B, if A ⊂ B then (A x B) ∩ (B x A) is equal to
Answer : Option B
Explaination / Solution:
Q2. The number of relations on a set containing 3 elements is
Answer : Option C
Explaination / Solution:
Let S = {a,b,c}
n(S) = 3
n(S x S) = 9
Number of relations in n{P(SxS)} = 29 = 512
Q3. Let R be the universal relation on a set X with more than one element. Then R is
Answer : Option C
Explaination / Solution:
Let X ={a,b,c}
Then R = Universal relation
= {(a,a), (a,b)(a,c)(b,a), (b,b)(b,c)(c,a), (c,b)(c,c)}
Q4. Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1, 4), (4, 1)}. Then
R is
Answer : Option B
Explaination / Solution:
Q5. The range of the function 1 / 1-2 sin x is
Answer : Option D
Explaination / Solution:
Q6. The range of the function f(x) = |└ x┘- x|
, x ∊ R
is
Answer : Option C
Explaination / Solution:
Q7. The rule f(x) = x2
is a bijection if the domain and the co-domain are given by
Answer : Option D
Explaination / Solution:
Q8. The number of constant functions from a set containing m elements to a set containing n elements is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. The function f
: [0, 2π] → [-1, 1] defined by f(x) = sin x is
Answer : Option B
Explaination / Solution:
Q10. If the function f : [-3, 3] → S defined by f(x) = x2 is onto, then S is
Answer : Option D
Explaination / Solution:
