SSC CHSL 2024 PYQ — Question 53

SSC CHSL - 04 July 2024 - Shift 2 • Quantitative Aptitude • Q53

The value of 10+335÷[223÷{716−(212+23)}]10+ 3 \frac{3}{5} \div \left[2 \frac{2}{3}\div \left\{ 7 \frac{1}{6}- \left(2 \frac{1}{2} + \frac{2}{3}\right)\right\}\right] is equal to:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 775\frac{77}{5}.

10+335÷[223÷{716−(212+23)}]10+ 3 \frac{3}{5} \div \left[2 \frac{2}{3}\div \left\{ 7 \frac{1}{6}- \left(2 \frac{1}{2} + \frac{2}{3}\right)\right\}\right]

⇒ 10 + 3353\frac{3}{5} ÷ [2232\frac{2}{3} ÷ {7167\frac{1}{6} - (15+46 \frac{15 + 4}{6})}]

⇒ 10 + 18/5 ÷ [8/3 ÷ {43/6 - 19/6}]

⇒ 10 + 18/5 ÷ [8/3 ÷ 4]

⇒ 10 + 18/5 ÷ [8/3 × 1/4]

⇒ 10 + 18/5 × 3/2

⇒ 10 + 27/5

⇒ (50 + 27)/5 = 77/5