Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
6 men can complete a piece of work in 12 days, 8 women can complete the same piece of work in 18 days and 18 children can do it in 10 days. 4 men, 12 women and 20 children do the work for 2 days. If the remaining work be completed by men only in 1 day, how many men will be required? [RBI Officer Gr. ‘B’ (Phase-1) Online Exam, 2015]
(a)36
(b)24
(c)18
(d)Cannot be determined
Answer
Answer (as printed): A
Explanation
6 men will complete the work in 12 days 1 man will complete the work in = 6 × 12 = 72 days QUANTITATIVE APTITUDE 8 women can complete two work in 18 day 1 woman will complete the work in = 8 × 18 = 144 days 18 children can complete the work in 10 days. 1 child will complete the work in = 18 × 10 = 180 days 1 1 men’s 1 day’s work = 72 1 1 women’s 1 day’s work = 144 1 1 children’s 1 day’s work = 180 4 men + 12 women + 20 children’s 2 days’ work 4 12 20 = 2 + + 72 144 180 1 1 1 = 2 + + 18 12 9 LCM of 18, 12 and 9 = 36 2 (2 + 3 + 4) 1 = = 36 2 1 ∴ Remaining work = 2 1 ∴ Required number of men = 72 × = 36 2
Explanation as extracted from the printed page; notation may be imperfect.