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SSC CHSL 2022 PYQ — Question 52

SSC CHSL - 25 May 2022 - Shift 2 • Quantitative Aptitude • Q52

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Simplify [712\frac{1}{2} ÷ {114\frac{1}{4} - 12\frac{1}{2}(212\frac{1}{2} - 14\frac{1}{4} - 16\frac{1}{6})}] ÷ (12\frac{1}{2}of 813\frac{1}{3}).

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 43.2

Solving the mixed fractions in the given equation,  we get

[15/2 ÷ ((5/4) - (1/2)(5/2 - 1/4 - 1/6))] ÷ [(1/2) × (25/3)]

⇒ [15/2 ÷ ((5/4) - (1/2)(29/12)] ÷ (25/6)

⇒ [15/2 ÷ ((5/4) - (29/24))] ÷ (25/6)

⇒  [15/2 ÷ 1/24] ÷ (25/6)

⇒ (15/2) × 24 × (6/25)

⇒ [3 × 12 × 6]/5

⇒ 43.2