Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
Three men, four women and six children can complete a work in seven days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
(a)7
(b)8
(c)12
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): A
Explanation
Let 1 woman’s 1 day’s work = x. x Then, 1 man’s 1 day’s work = and 1 child’s 1 day’s 2 x work = . 4 QUANTITATIVE APTITUDE 3x 6x 1 28 x 1 So, + 4x + = ⇒ = 2 4 7 4 7 1 4 1 ⇒ x= × = . 7 28 49 ∴ 1 woman alone can complete the work in 49 days. So, to complete the work in 7 days, number of women 49 required = = 7. 7 1 1 7
Explanation as extracted from the printed page; notation may be imperfect.