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SSC CGL 2022 PYQ — Question 64

SSC CGL - 12 April 2022 - Shift 3 • Quantitative Aptitude • Q64

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The value of 27−38−[214÷312 of 113+(11740−(3−115−38))]\frac{2}{7} - \frac{3}{8} - \left[2 \frac{1}{4} \div 3 \frac{1}{2} \text{ of } 1 \frac{1}{3} + \left( 1 \frac{17}{40} - \left( 3 - 1 \frac{1}{5} - \frac{3}{8} \right) \right){} \right]  is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e.  -47\frac{4}{7}

Explanation:

From the given question,

27−38−[214÷312 of 113+(11740−(3−115−38))]\frac{2}{7} - \frac{3}{8} - \left[2 \frac{1}{4} \div 3 \frac{1}{2} \text{ of } 1 \frac{1}{3} + \left( 1 \frac{17}{40} - \left( 3 - 1 \frac{1}{5} - \frac{3}{8} \right) \right){} \right]

⇒ (16−21)56−[94÷(72×43)+5740−(3−65−38)]{(16 - 21)\over 56} - [{9\over 4} ÷ ({7\over 2} × {4\over 3}) + {{57\over 40} - (3 - {6\over 5} - {3\over 8})}]

⇒ −556−[94÷(143)+5740−(120−48−15)40]{-5\over 56} - [{9\over 4} ÷ ({14\over 3}) + {{57\over 40} - {{(120 - 48 - 15)\over 40}}]}

⇒ −556−[2756+5740−5740]{-5\over 56} - [{27\over 56} + {57\over 40} - {57\over 40}]

⇒ −556−2756=−3256=−47{-5\over 56} - {27\over 56} = {-32\over 56} = {-4\over 7}

Hence the value of 27−38−[214÷312 of 113+(11740−(3−115−38))]\frac{2}{7} - \frac{3}{8} - \left[2 \frac{1}{4} \div 3 \frac{1}{2} \text{ of } 1 \frac{1}{3} + \left( 1 \frac{17}{40} - \left( 3 - 1 \frac{1}{5} - \frac{3}{8} \right) \right){} \right]  is -47\frac{4}{7}.