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SSC CPO 2024 PYQ — Question 110

SSC CPO - 28 June 2024 - Shift 2 • Quantitative Aptitude • Q110

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Simplify. [3253\frac{2}{5} × {234+3.3(513+313−213)2\frac{3}{4} + 3.3 ( 5\frac{1}{3} + 3\frac{1}{3} - 2\frac{1}{3})}]. 

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Correct answer: B

Explanation

The correct answer is Option 2 i.e 80.41.

[3253\frac{2}{5} × {234+3.3(513+313−213)2\frac{3}{4} + 3.3 ( 5\frac{1}{3} + 3\frac{1}{3} - 2\frac{1}{3})}]

⇒ [17517\over 5 × {114+3.3(163+103−73)\frac{11}{4} + 3.3 ( \frac{16}{3} + \frac{10}{3} - \frac{7}{3})}]

⇒ [17517\over 5 × {114+3.3(16+10−73)\frac{11}{4} + 3.3 ( \frac{16+10-7}{3})}]

⇒ [17517\over 5 × {114+3.3(193)\frac{11}{4} + 3.3 ( \frac{19}{3})}]

⇒ [17517\over 5 × {114+(1.1×19)\frac{11}{4} + (1.1\times 19)}]

⇒ [17517\over 5 × {114+(20.9)\frac{11}{4} + (20.9)}]

⇒ [17517\over 5 × {11+83.64\frac{11+83.6}{4} }]

⇒ [17517\over 5 × {94.64\frac{94.6}{4} }]

⇒ [17517\over 5 × {23.65}]

⇒ 17 × 4.73 = 80.41