SSC CPO 2019 PYQ — Question 149

SSC CPO Tier I - 12th December 2019 - Shift 1 • Quantitative Aptitude • Q149

The value of is

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 4/81

Application

{(10/3 - 5/3) ÷ 1/4 of 5/4}/(3/10 + 1/6 × 1/3) of 4/15 ÷ {(1/3 ÷ 1/3 of 1/9)}/(1/9 × 1/3 ÷ 1/6)

= {(5/6 ÷ 5/16)/(27 + 5)/90} of 4/15 ÷ 9/(2/9)

= (5/6 × 16/5)/(32/90) of 4/15 ÷ 81/2

= (8/3 × 90/32) of 4/15 ÷ 81/2

= (15/2 × 4/15) ÷ 81/2 

= 2 ÷ (81/2)

= 4/81 ans.