SSC CHSL 2024 PYQ — Question 73

SSC CHSL - 11 July 2024 - Shift 3 • Quantitative Aptitude • Q73

The value of 113÷[216÷{1413−(213+312)}]{1{1\over3}}÷[{2{1\over6}}÷ {\{14{1\over3}}-({2{1\over3}}+3{1\over2})\}] is :

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 53135{3\over13}.

113÷[216÷{1413−(213+312)}]{1{1\over3}}÷[{2{1\over6}}÷ {\{14{1\over3}}-({2{1\over3}}+3{1\over2})\}]

⇒4/3 ÷ [ 13/6 ÷ {43/3 - (7/3 + 7/2)}]

⇒4/3  ÷[ 13/6 ÷{43/3 - 35/6}]

⇒4/3  ÷ [13/6  ÷ {(86-35)/6}]

⇒4/3 ÷[ 13/6 ×6/51]

⇒4/3 ×51/13

⇒68 /13 = 53135{3\over13}