SSC CGL 2022 PYQ — Question 65

SSC CGL - 19 April 2022 - Shift 1 • Quantitative Aptitude • Q65

The value of 

is:

Show answer & explanation

Correct answer: D

Explanation

Numerator:
[3/8 − {3/8 − (5/8 − 3/8)}] of 4.8 − 0.9

  • 5/8 − 3/8 = 1/4
  • 3/8 − 1/4 = 1/8
  • 3/8 − 1/8 = 1/4
  • 1/4 of 4.8 = 1.2
  • 1.2 − 0.9 = 0.3

Denominator:
4 1/6 ÷ 2.5 × 0.2 ÷ (1/5 of 50) + (3/4 − 1/8)

  • 4 1/6 = 25/6
  • 25/6 ÷ 2.5 = 5/3
  • 5/3 × 0.2 = 1/3
  • 1/5 of 50 = 10 → 1/3 ÷ 10 = 1/30
  • 3/4 − 1/8 = 5/8
  • 1/30 + 5/8 = 4/120 + 75/120 = 79/120

Final value:
0.3 ÷ (79/120) = (3/10) × (120/79) = 360/790 = 36/79