Discussion
If 4 men can complete a work in 3 days and 3 women can complete that work in 6 days, then which one of the following is not true?
Answer: B
4 men finish the work in 3 days, so the work is 12 man-days, and 3 women in 6 days make it 18 woman-days. Then 8 men and 6 women do 8/12 + 6/18 = 1 in a day, 12 men do it in a day, and 18 women do it in a day.
6 men and 8 women do 6/12 + 8/18 = 0.944 of the work in a day, which is less than the whole, so that statement is not true, option B.
Writing each statement in man-days makes the check easy: one man does 1/12 of the work a day and one woman 1/18. For 6 men and 8 women the sum is 6/12 + 8/18 = 17/18 of the work, so the statement that they finish in one day is not true, while the other three statements add up to exactly one day.
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