Question

Which of the following are examples of the null set?
(i) Set of odd natural numbers divisible by 2
(ii) Set of even prime numbers
(iii) {x : x is a natural number, x > 5 and x < 7}
(iv) {y : y is a point common to any two parallel lines}

• A. (III), (II)
• B. (II)
• C. (IV), (II)
• D. (I), (IV)

Answer 1

The correct option is D (I), (IV)

(i) No odd number is divisble by 2, thus a null set.
(ii) {2}
(iii){6}
(iv) Two parallel lines can never have a common point, thus a null set

So, (I) and (IV) are examples of Null Set.

Hence, d is the correct option.