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SSC CGL 2023 PYQ — Question 66

SSC CGL - 19 July 2023 - Shift 2 • Quantitative Aptitude • Q66

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Simplify the following expression:

  (12+5−4816+71)+(7236+6×711)×[(51+4−13)+(13−12×7)]232\frac{\left ( 12+5-\frac{48}{16}+71 \right )+\left ( \frac{\frac{72}{36}+6\times 7 }{11}\right )\times \left [ (51+4 - 13)+(13-12\times7) \right]}{232}

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. −31232\frac{-31}{232}.

⇒ (12+5−4816+71)+(7236+6×711)×[(51+4−13)+(13−12×7)]232\frac{\left ( 12+5-\frac{48}{16}+71 \right )+\left ( \frac{\frac{72}{36}+6\times 7 }{11}\right )\times \left [ (51+4 - 13)+(13-12\times7) \right]}{232}

⇒ (17−3+71)+(2+4211)×[(55−13)+(13−84)]232\frac{\left ( 17-3+71 \right )+\left ( \frac{2+42}{11}\right )\times \left [ (55 - 13)+(13-84) \right]}{232}

⇒ (17−3+71)+(4411)×[(42)+(−71)]232\frac{\left ( 17-3+71 \right )+\left ( \frac{44}{11}\right )\times \left [ (42)+(-71) \right]}{232}

⇒ 85+4×(−29)232\frac{85 + 4\times(-29)}{232}

⇒ 85−116232\frac{85 -116}{232} = −31232\frac{-31}{232}