Chapter 1: Sets, Relations and Functions - Online Test
Q1. If A = {(x, y) : y = ex, x∈R} and B = {(x, y) : y = e-x, x ∈ R} then n(A ∩ B) is
Answer : Option C
Explaination / Solution:
Q2. If A = {(x, y) : y = sin x, x ∈ R} and B = {(x, y) : y = cos x, x ∈ R} then A ∩ B contains
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. The relation R defined on a set A = {0,-1, 1, 2} by xRy if |x2 + y2| ≤ 2, then which one of the following is true?
Answer : Option D
Explaination / Solution:
Q4. If {(x) = |x – 2| + |x + 2|, x ∊ R, then
Answer : Option A
Explaination / Solution:
Q5.
Let R be the set of all real numbers.
Consider the following subsets of the plane R x R:
S = {(x, y) : y = x + 1 and 0 < x
< 2} and T = {(x, y) : x -
y is an integer }
Answer : Option A
Explaination / Solution:
Q6. Let A and B be subsets of the universal set N,
the set of natural numbers. Then A’∪ [(A∩B)∪B’] is
Answer : Option D
Explaination / Solution:
Q7. The number of students who take both the subjects Mathematics and Chemistry is 70. This
represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry. The
number of students take at least one of these two subjects, is
Answer : Option B
Explaination / Solution:
Q8. If n((A
x B) ∩ (A
x C)) = 8 and n(B ∩ C) = 2, then n(A) is
Answer : Option B
Explaination / Solution:
Q9. If n(A)
= 2 and n(B ∪C) = 3, then n[(A x B) ∪ (A
xC)] is
Answer : Option C
Explaination / Solution:
Q10.
If two sets A and B have 17 elements in common, then the number of elements common to the set A x B and B x A is
Answer : Option B
Explaination / Solution:
