Question

The value of \(\frac {0.325 \times 0.325 + 0.175 \times 0.175 - 25 \times 0.00455}{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025}\) is:
1. 0.5
2. 1
3. 1.3
4. 0.3

Answer 1

Correct Answer - Option 4 : 0.3

Given:

\(\frac {0.325 × 0.325 + 0.175 × 0.175 - 25 × 0.00455}{5 × 0.0065 × 3.25 - 7 × 0.175 × 0.025} \)

Calculations:

[(0.325)² + (0.175)² - 25 × 0.0045]/[5 × 0.0065 - 7 × 0.025 × 0.175]

⇒ [(0.325)² + (0.175)² - 0.11375]/[0.10563 - 0.03063]

⇒ (0.015)²/0.075 = 0.0225/0.075

⇒ 0.3

∴The required value is 0.3