SSC GD 2024 PYQ — Question 49

SSC GD Const (English) - 21 Feb 2024 - Shift 1 • Quantitative Aptitude • Q49

Arvind can do a work in 20 days and Bakshi in 22 days. If they work on it together for 5 days, then the fraction of the work that is left is :

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 23/44.

Arvind and Bakshi can do the work in 20 days and 22 days

Total work (L.C.M of 20, and 22) = 220 units

The efficiency of Arvind = 220/20 = 11

The efficiency of Bakshi = 220/22 = 10

If they work on it together for 5 days

Amount of work done by them in 5 days = 5 × (10 + 11)

⇒ 5 × 21 = 105

Work left = 220 - 105 = 115 units

Fraction of left work = 115/220 = 23/44