SSC GD 2019 PYQ — Question 62

SSC GD Constable (English) - 11 Feb 2019 Shift 1 • Quantitative Aptitude • Q62

Anil, Deepak and Dinesh together can complete a work in 35 days. Anil and Dinesh together can complete the same work in 60 days. In how many days Deepak alone can complete the same work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 84 days

Let the total work be LCM of 35 and 60 = 420 unit

Anil, Deepak and Dinesh together can complete a work in 35 days

Efficiency of Anil + Deepak + Dinesh = 420/35 = 12

Efficiency of Anil + Dinesh = 420/60 = 7

Efficiency of Deepak = 12 - 7 = 5

when doing alone number of days deepak will take = 420/5 = 84 Days.