Question

What will come in the place of the question mark ‘?’ in the following question so that it will be a perfect square?

(10.99)² + 10.99 × ? + (0.03)² = ?

1. 0.06
2. 0.08
3. 0.6
4. 0.8

Answer 1

Correct Answer - Option 1 : 0.06

Given:

(10.99)2 + 10.99 × ? + (0.03)2 = ?

Concept used:

(a + b)² = a² + 2 × a × b + b²b 

Calculation:

(10.99)2 + 10.99 × ? + (0.03)2 = ?

The above statement is of the form  a2 + 2 × a × b + b2

For it to be a perfect square '?' = 2 × b = 2 × (0.03)

'?' = 0.06

∴ The value of '?' is 0.06.