Question

Match the following:

A	Null set	I	{x : x is a real number}
B	Singleton set	II	{x : x is a whole number and x < 0}
C	Infinite set	III	{x : x is an even prime number}

• A. (a)—(i), (b}—(ii), (c)—(iii)
• B. (a)—(iii), (b)—(ii), (c)—(i)
• C. (a)—(ii), (b}—(i), (c)—(iii)
• D. (a)—(ii), (b}—(iii), (c)—(i)

Answer 1

The Correct Option is D

The given sets are:
- (a) Null set
- (b) Singleton set
- (c) Infinite set

Now, we need to match the sets with the appropriate conditions.

(i) \( \{ x : x \text{ is a real number} \} \)  
(ii) \( \{ x : x \text{ is a whole number and } x < 0 \} \)  
(iii) \( \{ x : x \text{ is an even prime number} \} \)

Let's analyze each option:

- The Null set (a) has no elements, so it matches with (iii), where the condition is for even prime numbers, and the only even prime is 2, which is a singleton.
- The Singleton set (b) contains exactly one element, and it can be matched with (ii), where \( x \) is a whole number and less than zero.
- The Infinite set (c) contains infinitely many elements, so it matches with (i), where \( x \) is a real number.

So, the correct option is (D): (a)—(ii), (b}—(iii), (c)—(i)