Simplify \(\frac{2.46\times 2.46-1.46\times 1.46}{2.46-1.46}\) and select the most appropriate fraction.

Question

Question

This question was previously asked in

RRB Technician Grade III Official Paper (Held On: 30 Dec, 2024 Shift 1)

Answer 1

Given:

\(\dfrac{(2.46 \times 2.46-1.46 \times 1.46)}{(2.46-1.46)}\)

Formula used:

\((a^2 - b^2) = (a + b)(a - b)\)

Calculation:

⇒ \(\dfrac{(2.46 + 1.46)(2.46 - 1.46)}{(2.46-1.46)}\)

⇒ \(\dfrac{(2.46^2 - 1.46^2)}{(2.46-1.46)}\)

⇒ \((2.46 + 1.46)\)

⇒ 3.92

⇒ \(\dfrac{392}{100}\)

∴ The correct answer is option (2).