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Class 11 | CBSE | MATHEMATICS
COMPLETE SOLUTIONS
Assertion–Reason MCQs : Types of Sets
Chapter: Sets (Class XI)
Instructions:
For each question, choose the correct option:
- (A) Both Assertion and Reason are true, and Reason is the correct explanation
- (B) Both Assertion and Reason are true, but Reason is not the correct explanation
- (C) Assertion is true, Reason is false
- (D) Assertion is false, Reason is true
Assertion–Reason 1
Assertion (A):
The set
\( \{x : x \in N,\; x \text{ is odd and divisible by } 2\} \)
is an empty set.
Reason (R):
No natural number can be both odd and even at the same time.
Assertion–Reason 2
Assertion (A):
The set
\( \{x : x^2 = 4,\; x \in Z\} \)
is a finite set.
Reason (R):
The equation
\( x^2 = 4 \)
has only two integer solutions.
Assertion–Reason 3
Assertion (A):
The set of all prime numbers is an infinite set.
Reason (R):
There exists a largest prime number.
Assertion–Reason 4
Assertion (A):
The sets
\( \{1, 2, 3, 4\} \)
and
\( \{4, 3, 2, 1\} \)
are equal.
Reason (R):
Order of elements does not matter in a set.
Assertion–Reason 5
Assertion (A):
The set
\( \{x : x \in N,\; x > 100\} \)
is finite.
Reason (R):
There are infinitely many natural numbers greater than 100.
✅ Answer Key
1 → (A)
2 → (A)
3 → (D)
4 → (A)
5 → (D)