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SSC CGL 2023 PYQ — Question 67

SSC CGL - 27 July 2023 - Shift 3 • Quantitative Aptitude • Q67

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Simplify the following expression.

7.35×7.35−2.25×2.250.24\frac{7.35 \times 7.35 - 2.25 \times 2.25}{0.24}

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 204.

7.35×7.35−2.25×2.250.24\frac{7.35 \times 7.35 - 2.25 \times 2.25}{0.24}

⇒ 7.352−2.2520.24\frac{7.35^2 - 2.25^2}{0.24 }

So a2 - b2 = (a + b)(a - b)

⇒ (7.35+2.25)(7.35−2.25)0.24\frac{(7.35 + 2.25)(7.35 - 2.25)}{0.24 }

⇒ (9.6)(5.1)0.24\frac{(9.6)(5.1)}{0.24 } = 48.96/0.24 = 204