SSC CGL 2022 PYQ — Question 72

SSC CGL - 21 April 2022 - Shift 2 • Quantitative Aptitude • Q72

Simplify 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 732\frac{7}{32}

Explanation:

From the given question,

⇒ [(214×27×512)−316]÷(257÷514×203)×43[({21\over 4} × {2\over 7} × {5\over 12}) - {3\over 16}] ÷ ({25\over 7} ÷ {5\over 14} × {20\over 3}) × {4\over 3}

⇒ [(32×512)−316]÷(257÷5021)×43[({3\over 2} ×{ 5\over 12}) - {3\over 16}] ÷ ({25\over 7} ÷ {50\over 21}) × {4\over 3}

⇒ (1524−316)÷(257×2150)×43({15\over 24 }- {3\over 16}) ÷ ({25\over7} × {21\over 50}) × {4\over 3}

⇒ (30−9)48÷2{(30 - 9)\over48} ÷ 2

⇒ 2148÷2{21\over 48} ÷ 2

⇒ 716÷2{7\over 16} ÷ 2

⇒ 732{7\over 32}

Hence the value of  is 732{7\over 32} .