Question

What is the minimum number that should be subtracted from the sum of squares of 13 and 14, such that the resulting number is a perfect square?
1. 20
2. 14
3. 4
4. 9

Answer 1

Correct Answer - Option 3 : 4

Calculation 

Let the number be x 

According to Question

⇒ 14² + 13² = 196 + 169 = 365 

361 is a perfect square which is near by 365 

so, 365 - x = 361 

⇒ x = 4 

∴ 4 is minimum number