NDA 2016 Maths · Mathematics · Sets, Relations and Functions · easy

Let A and B be sets with A⊂ B. 1. A∩ B=B. 2. B'⊂ A'.

Single correct option

Let

A

and

B

be sets with

A\subset B

. Consider the following statements:
1.

A\cap B=B

.
2.

B'\subset A'

.
Which of the statements given above is/are correct?

Show answer and solution

Answer: (B) 2 only

A\subset B

then

A\cap B=A

, not

B

, so statement 1 is false unless

A=B

. Taking complements reverses inclusion: every element outside

B

is also outside

A

, so

B'\subset A'

and statement 2 is true. Only statement 2 is correct.

Original question written in the NDA 2016 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake