Class 11 | CBSE | MATHEMATICS
MCQs WORKSHEET

Multiple Choice Questions

1. Which of the following is not a well-defined set?

   (a) Collection of all even integers
   (b) Collection of prime numbers less than 20
   (c) Collection of the most intelligent students in a class
   (d) Collection of vowels in the English alphabet

2. If

   \[ A = \{1,\;3,\;5,\;7\} \]

   then which of the following is correct?

   (a) \(2 \in A\)
   (b) \(3 \notin A\)
   (c) \(5 \in A\)
   (d) \(8 \in A\)

3. Write the correct roster form of the set

   \[ \{x : x \text{ is a natural number and } x^2 < 20\} \]

   (a) \(\{1,\;2,\;3\}\)
   (b) \(\{1,\;2,\;3,\;4\}\)
   (c) \(\{2,\;3,\;4\}\)
   (d) \(\{1,\;3,\;5\}\)

4. Which of the following is the set-builder form of

   \[ \{2,\;4,\;6,\;8\} \]

   (a) \(\{x : x = n^2,\; n \in N\}\)
   (b) \(\{x : x = 2n,\; n \in N,\; n \le 4\}\)
   (c) \(\{x : x \text{ is a prime number}\}\)
   (d) \(\{x : x = 2n+1,\; n \in N\}\)

5. The set of letters in the word BETTER is:

   (a) \(\{B,\;E,\;T,\;T,\;E,\;R\}\)
   (b) \(\{B,\;E,\;T,\;R\}\)
   (c) \(\{B,\;T,\;R\}\)
   (d) \(\{E,\;T\}\)

6. Which of the following sets is infinite?

   (a) \(\{x : x \text{ is a natural number less than } 10\}\)
   (b) \(\{x : x \text{ is a divisor of } 36\}\)
   (c) \(\{x : x \text{ is an even integer}\}\)
   (d) \(\{x : x \text{ is a vowel in English alphabet}\}\)

7. If

   \[ B = \{x : x \in Z \text{ and } -2 \le x \le 2\} \]

   then B in roster form is:

   (a) \(\{-2,\;-1,\;0,\;1,\;2\}\)
   (b) \(\{-1,\;0,\;1\}\)
   (c) \(\{-2,\;0,\;2\}\)
   (d) \(\{-2,\;-1,\;1,\;2\}\)

8. Which of the following statements is false?

   \[ V = \{a,\;e,\;i,\;o,\;u\} \]

   (a) \(a \in V\)
   (b) \(b \notin V\)
   (c) \(i \in V\)
   (d) \(y \in V\)