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Class 11 | CBSE | MATHEMATICS
COMPLETE SOLUTIONS

MCQ Worksheet: Types of Sets

Chapter: Sets (Class XI)

Topics Covered: Empty Set, Finite & Infinite Sets, Equal Sets

MCQ 1

Which of the following represents an empty set?

(A)
\( \{x : x \in N\} \)

(B)
\( \{x : x \in N,\; x \text{ is even and odd}\} \)

(C)
\( \{x : x^2 = 4,\; x \in Z\} \)

(D)
\( \{x : x \in N,\; x = 1\} \)

MCQ 2

Which of the following sets is NOT empty?

(A)
\( \{x : 1 < x < 2,\; x \in N\} \)

(B)
\( \{x : x^2 = 2,\; x \in Q\} \)

(C)
\( \{x : x \text{ is an even prime number}\} \)

(D)
\( \{x : x \text{ is an even prime number greater than } 2\} \)

MCQ 3

Which of the following sets is infinite?

(A) Set of months in a year

(B) Set of prime numbers less than 50

(C) Set of integers divisible by 5

(D) Set of letters in the English alphabet

MCQ 4

Which of the following sets is finite?

(A)
\( \{x : x \in N\} \)

(B)
\( \{x : x \text{ is a multiple of } 3\} \)

(C)
\( \{x : x^2 - 9 = 0\} \)

(D)
\( \{x : x \in Z\} \)

MCQ 5

Which of the following pairs of sets are equal?

(A)
\( \{1, 2, 3\} \) and \( \{1, 2, 4\} \)

(B)
\( \{a, b, c\} \) and \( \{c, b, a\} \)

(C)
\( \{2, 4, 6\} \) and \( \{2, 6, 8\} \)

(D)
\( \{x : x < 3,\; x \in N\} \) and \( \{3, 4\} \)

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