SSC CGL 2022 PYQ — Question 51

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q51

The value of 97 × 103 is _________.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 9991.

Concept Used:

(a - b)(a + b) = a2 - b2    ....(i)

Explanation:

According to the given question,

97 × 103 = (100 - 3)(100 + 3) 

Now using the formula from equation (i), we get

⇒ (100 - 3)(100 + 3) = 1002 - 32

⇒ 10000 - 9 = 9991

Hence the value of 97 × 103 is 9991.