Data Sufficiency Question 66
- 14 men and 9 women can do a work in 15 days. In How many days can 11 men and 6 women do the same work?
I. 6 men can complete the work in 50 days.
II. 6 women can complete the work in 75 days.
III. The work done by 2 men is equal to the work done by 3 women in one day.
(1) I or II
(2) Only II or III
(3) Only I or III
(4) Only III
(5) None of these
Show Answer
Correct Answer: 66. (5)
Solution: 66. (5) III. $3 \mathrm{~W}=2 \mathrm{~M}$
$\therefore 6 \mathrm{~W}=4 \mathrm{M}$ and $9 \mathrm{~W}=6 \mathrm{M}$
$14 \mathrm{M}+9 \mathrm{~W}=14+9=23 \mathrm{M}$
$11 \mathrm{M}+6 \mathrm{~W}=11+6=17 \mathrm{M}$
20 men can do the work in 15 days.
$\therefore \quad 15$ men can do the work in 10 days
$\frac{15 \times 20}{15}=20$ days
BETA
