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SSC CPO 2023 PYQ — Question 126

SSC CPO - 05 Oct 2023 - Shift 1 • Quantitative Aptitude • Q126

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The valule of 112÷314+12÷1314+1515×312−13÷134×312 \frac{1\frac{1}{2} \div 3\frac{1}{4} + \frac{1}{2} \div \frac{13}{14} + \frac{1}{5}} {\frac{1}{5} \times 3\frac{1}{2} - \frac{1}{3} \div 1\frac{3}{4} \times 3\frac{1}{2}} is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 36.

According to the given question,

112÷314+12÷1314+1515×312−13÷134×312 \frac{1\frac{1}{2} \div 3\frac{1}{4} + \frac{1}{2} \div \frac{13}{14} + \frac{1}{5}} {\frac{1}{5} \times 3\frac{1}{2} - \frac{1}{3} \div 1\frac{3}{4} \times 3\frac{1}{2}}

⇒ [(3/2) ÷ (13/4) + (1/2) ÷ (13/14) + (1/5)]/[(1/5) × (7/2) - (1/3) ÷ (7/4) × (7/2)]

⇒ [(6/13) + (7/13) + (1/5)]/[(7/10) - (4/21) × (7/2)]

⇒ [1 + (1/5)]/[(7/10) - (2/3)]

⇒ [6/5]/[(21 - 20)/30]

⇒ (6/5)/(1/30)

⇒ 6 × 6 = 36