SSC CGL 2020 PYQ — Question 65

SSC CGL - 4th March 2020 Shift 3 • Quantitative Aptitude • Q65

The value of  is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e 8/3.

Understanding/Application

[8 ÷ [(8 -3) ÷ {(4 ÷ 4 × 8) + 4 - 4 × 4 ÷ 8} - 2]]/(8 × 8 ÷ 4 - 8 ÷ 8 × 2 - 7)

= [8 ÷ [(5) ÷ {(4 ÷ 32) + 4 - 4 × 4 ÷ 8} - 2]]/(8 × 8 ÷ 4 - 8 ÷ 16 - 7)

= [8  ÷ {(5) ÷ (1/8 + 4 - 2) - 2}]/(16 - 1/2 - 7)

= [8 ÷ {5 ÷ 17/8 - 2}]/(17/2)

= [8 ÷ (40/17 - 2)]/(17/2)

= (8 ÷ 6/17)/(17/2)

= (8 × 17/2)/(17/2)

= 8/3