Q1. A is 20% more efficient than B who complete the work alone in 20 days. A work first two days alone, then find in how many days remaining work will be completed if both work together?
(a) 6 days
(b) 5 days
(c) 9 days
(d) 8 days
(e) 7 days
Q2. A and B can complete a work alone in 18 days and 24 days respectively. If B started work alone and after 3 days A also joined, then in how many days whole work will be completed.
(a) 6 days
(b) 12 days
(c) 8 days
(d) 10 days
(e) 15 days
Q3. P, Q and R can do a job alone in 16 days, 24 days and 32 days respectively. If they started together then in how many days the work be completed?
(a) 5 days
(b) 8 days
(c) 12 days
(d) 96/13 days
(e) 95/11 days
Q4. Ravi can do three fourth of a work in 27/2 hours while Hira can do two third of the same work in 8 hours. If both started working together then in how much time the work will be completed?
(a) 8h
(b) 7.2h
(c) 8.4 h
(d) 9 h
(e) 9.2 h
Q5. A takes three times as long as B and C together take to do a job. If all the three working together and complete the job in 24 days, then find in how many days A will complete the job alone?
(a) 100
(b) 96
(c) 84
(d) 90
(e) 104
Q6. 12 Men can complete a project in 15 days and 10 women can complete the same project in 24 days. 9 men start working and after 6 days they are replaced by 12 women. In how many days will 12 women complete the remaining work?
(a) 20
(b) 10
(c) 16
(d) 18
(e) 14
Q7. 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
Q8. 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
Q9. Three men A, B and C undertook a job for Rs 1080. A working alone and B working alone can complete it in 21 days and 28 days respectively. They all together take 7 days to complete the same work. What is the share of C?
(a) Rs 360
(b) Rs 840
(c) Rs 270
(d) Rs 540
(e) Rs 450
Q10. A, B, C are pipes attached into a cistern. A and B can fill it in 20 and 30 minutes respectively, while C can empty it in 15 minutes. If A, B and C be kept open successively for 1 minute each, how soon will the cistern be filled ?
(a) 2 hr 44 min
(b) 2 hr 40 min
(c) 2 hr 47 min
(d) 2 hr 37 min
(e) None of these
Q11. 5 inlet pipes (same capacity) can fill a tank in same time in which 3 outlet pipes (same capacity) can empty it. If 2 inlet and one outlet pipe is opened for first minutes and 5 inlet and 2 outlet pipes open for 2nd minute and process continues till tank is completely filled in 30 minutes. Find the time in which 2 outlet pipes can empty the completely filled tank.
(a) 9 minutes
(b) 12 minutes
(c) 6 minutes
(d) 10 minutes
(e) 15 minutes
Q12. Two pipes P and Q alone can fill a tank in 24 min and 30 min respectively and a pipe R alone can empty the tank by throwing out 8 gallons in 2 minutes. All the three pipes working together can fill the tank in 20 minutes. Find the capacity of the tank?
(a) 80 gallons
(b) 160 gallons
(c) 320 gallons
(d) 240 gallons
(e) None of these
Q13. A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was stopped after 30 minutes, rest of the tank filled in 10 minutes. The pipe B can alone fill the tank in
(a) 45 minutes
(b) 60 minutes
(c) 75 minutes
(d) 90 minutes
(e) None of these
Q14. Pipe A and Pipe B can fill a cistern together in 18 minutes. Pipe B is 50% more efficient than pipe A. Find the capacity of cistern, if it is given that pipe ‘A’ fills the cistern at speed of 6 litres/minute.
(a) 150 l
(b) 225 l
(c) 240 l
(d) 180 l
(e) 270 l
Q15. Pipe A and pipe B together can fill the tank in 12 minutes while pipe A, pipe B and pipe C together can fill the tank in 15 minutes and Pipe B and Pipe C together can fill the tank in 30 minutes. In how many times pipe A alone can fill the tank completely. (in minutes)
(a) 20
(b) 60
(c) 40
(d) 30
(e) 50
Solutions
