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SSC CGL 2024 PYQ — Question 51

SSC CGL - 11 Sep 2024 - Shift 3 • Quantitative Aptitude • Q51

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Simplify: 445×38+(312+23)×454{4\over5}×{3\over8}+\left( {3{1\over2}+{2\over3}} \right)×{4\over5}

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 771577\over15.

⇒ 445×38+(312+23)×454{4\over5}×{3\over8}+\left( {3{1\over2}+{2\over3}} \right)×{4\over5}

⇒ 245×38+(72+23)×45\frac{24}{5} \times \frac{3}{8} + (\frac{7}{2} + \frac{2}{3}) \times \frac{4}{5}

⇒ 95+(256)×45\frac{9}{5} + (\frac{25}{6}) \times \frac{4}{5}

⇒ 95+103=7715\frac{9}{5} + \frac{10}{3} = \frac{77}{15}