SSC CPO 2022 PYQ — Question 143

SSC CPO - 9 Nov 2022 - Shift 2 • Quantitative Aptitude • Q143

The value of 1801 × 1801 is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e.3243601.

Given that 1801 × 1801

It can also be written as (1800 + 1) × (1800 + 1) = (1800 + 1)2

⇒ (1800 + 1)2 = 18002 + 12 + 2 × 1800 × 1

[(a + b)2 = a2 + b2 + ab]

⇒ 3240000 + 1 + 3600 = 3243601

Therefore, the value of 1801 × 1801 is 3243601.