41.

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?

 A. 3 days B. 4 days C. 5 days D. 6 days
Explanation: To calculate the answer we need to get 1 man per day work and 1 woman per day work. Let 1 man 1 day work =x and 1 woman 1 days work = y. => 6x+5y = 1/6 and 3x+4y = 1/10 On solving, we get x = 1/54 and y = 1/90 (9 men + 15 women)'s 1 days work = (9/54) + (15/90) = 1/3 9 men and 15 women will finish the work in 3 days

42.

A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The number of days taken in completing the wotk were ?

 A. 1423kmph B. 1523kmph C. 1623kmph D. 1723kmph
Explanation: Work done by A in l0 days = (1/25) *10 = 2/5 Remaining work = 1 - (2/5) = 3/5 (A+B)s 1 days work = (1/25) + (1/20) = 9/100 9/100 work is done by them in 1 day. hence 3/5 work will be done by them in (3/5)*(100/9) = 20/3days. Total time taken = (10 + 20/3) = 16*(2/3) days

43.

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

 A. 6 days B. 7 days C. 8 days D. 9 days
Explanation: 1 woman's 1 day's work = 1/70 1 Child's 1 day's work = 1/140 5 Women and 10 children 1 day work = (570+10140)=17 So 5 women and 10 children will finish the work in 7 days.

44.

5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio

 A. 1:2 B. 1:3 C. 2:1 D. 2:3