Q1. P, Q and R can do some work in 36 days. P and Q together do twice as much work as R alone and P and R together can do thrice as much work as Q alone. Find the time taken by R to do the same work.
(a) 80 days
(b) 72 days
(c) 108 days
(d) 96 days
(e) 120 days
Q2. 5 men can do a work in 16 days and 8 women can do the same work in 15 days. In how many days 2 man and 3 women can do the work together?
(a) 22 days
(b) 20 days
(c) 21 days
(d) 18 days
(e) 24 days
Q3. ‘A’ is 40% less efficient than ‘B’ who can do the same work in 20% less time than ‘C’. If A and B together can complete 80% of work in 12 days, then in how many days 60% of work can be completed by B and C together.
(a) 2 days
(b) 4 days
(c) 6 days
(d) 8 days
(e) 10 days
Q8. 8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined, in how many more days will the work be completed?
(a) 5 days
(b) 8 days
(c) 6 days
(d) 4 days
(e) None of these
Q9. A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Rs.450 for the whole work, how should they divide the money?
(a) Rs.225, Rs.150, Rs.75
(b) Rs.250, Rs.100, Rs.100
(c) Rs.200, Rs.150, Rs.100
(d) Rs.175, Rs.175, Rs.100
(e) None of these
Q10. If 12 men with 13 boys can earn Rs. 4893.75 in 3 days and 5 men with 6 boys can earn Rs. 3562.50 in 5 days, in what time will 3 men with 4 boys earn Rs. 3150 ?
(a) 8 days
(b) 7 days
(c) 10 days
(d) 9 days
(e) None of these
Q11. The work done by a man, a woman and a child is in the ratio of 3 : 2 : 1. There are 20 men, 30 women and 36 children in a factory. Their weekly wages amount to Rs. 780, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women and 30 children for 2 weeks ?
(a) Rs. 585
(b) Rs. 292.5
(c) Rs. 1170
(d) Rs.900
(e) None of these
Q12. Tap A can fill a tank in 24 minutes and tap B can fill the same tank in 30 minutes, another tap C can empty the tank in 20 minutes. If tap A and tap B are opened together & after six minutes tap C is also opened, then find the total time taken to fill the remaining tank?
(a) 18 minutes
(b) 14 minutes
(c) 22 minutes
(d)12 minutes
(e) 16 minutes
Q15. A tank is attached by 8 taps some of which is outlet some are inlet. Efficiency of all outlet pipe and inlet pipes are same. Time taken by an outlet pipe to empty the tank is double of the time taken by the pipes (8 pipes) to fill the tank. How many pipes are outlet?
(a) 5
(b) 2
(c) 3
(d) 4
(e) 6
Solutions
