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SSC CPO 2024 PYQ — Question 130

SSC CPO - 28 June 2024 - Shift 1 • Quantitative Aptitude • Q130

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Simplify the following expression

3.2×3.2−0.2×0.20.2×0.2−2×0.2×3.2+3.2×3.2\frac{3.2 × 3.2 - 0.2 × 0.2}{0.2 × 0.2 - 2 × 0.2 × 3.2 +3.2 × 3.2} ?

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Correct answer: C

Explanation

The correct answer is option 4 i.e.  1715\frac{17}{15}

3.2×3.2−0.2×0.20.2×0.2−2×0.2×3.2+3.2×3.2\frac{3.2 × 3.2 - 0.2 × 0.2}{0.2 × 0.2 - 2 × 0.2 × 3.2 +3.2 × 3.2}

Let 3.2 = a and 0.2 = b

therefore,

⇒ a2−b2{a^2} - {b^2}/ a2+b2−2aba^2 +b^2 -2ab

 ⇒ (a - b)(a + b) / (a - b)2^2

 ⇒ a+ba−b\frac {a + b}{a-b}

Hence,

 ⇒ 3.43\frac{3.4}{3}

 ⇒ 1715\frac{17}{15}