Q1. Two tap A and B can fill a tank in 12h and 10h respectively. Due to a leak in bottom of tank it takes 18h to fill the whole tank. If from the leak water is running at the rate of 46 lit/min, then find capacity of tank?
(a) 3600 lit
(b) 21600 lit
(c) 2160 lit
(d) 36000 lit
(e) None of these
Q2. Veer can do a work in x days. While Sameer can do the same work in (x + 4) days. Ratio of work done by Veer in 3 days to work done by Sameer in 4 days is 15 : 16. Find the value of ‘x’.
(a) 24
(b) 18
(c) 12
(d) 20
(e) 16
Q3. A pipe can fill a cistern in 15 min and another pipe can fill the same cistern in 60 min. a third pipe can empty it in 10 min. the first two pipes are kept open for 10 min in the beginning and then the third pipe is also opened, what is the time taken to empty the cistern?
(a)45 min
(b)60 min
(c)50 min
(d)48 min
(e)55 min
Q4. Two pipes A and B can fill a cistern in 12 hours and 8 hours respectively. The pipes are opened simultaneously, and it is found that due to leakage in bottom, 12 min extra are taken to the cistern to be filled. If the cistern is full, in how much time the leak empties the cistern alone?
(a) 120 hours
(b) 112 hours
(c) 108 hours
(d) 132 hours
(e) 96 hours
Q5. Raghav can do a piece of work in 15 days while Dev can do the same piece of work in 20 days. If they work together for 4 days, how much fraction of work left?
(a) 7/15
(b) 1/2
(c) 8/13
(d) 8/15
(e) None of these
Q6. A and B working together can do a piece of work in 24 days, B and C working together can do the same piece of work in 15 days and A and C working together can do the same piece of work in 20 days. They all worked together for 6 days and then A and C leaves the work. How many days will B take to finish the remaining work?
(a) 15 days
(b) 8 days
(c) 12 days
(d) 21 days
(e) 18 days
Q7. Three persons A, B and C together undertake to complete a piece of work for Rs 1600. A can complete the work alone in 6 days, B alone in 15 days and C alone in 24 days respectively. If they complete the work with the help of person D in 3 days, then find the wage of person D?
(a) Rs 250
(b) Rs 350
(c) Rs 210
(d) Rs 280
(e) Rs 230
Q8. A does 66⅔% of work in 8 days and is replaced by B and B completes the remaining work. If whole work is completed in 14 days, then find difference of days taken by A and B alone to complete the work.
(a) 3 days
(b) 5 days
(c) 6 days
(d) 2 days
(e) 8 days
Q9. A and B together can do a piece of work in 18 days. B and C together can complete the same piece of work in 30 days. If A is 100% more efficient than C. find in how much time B can complete the work alone?
(a) 22.5 days
(b) 45 days
(c) 75 days
(d) 90 days
(e) 120 days
Q10. 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
Q11. Ram and Shyam can do work in 16 days. Shyam takes twice time as Ram takes to do the same work. In how many days Shyam alone can complete that work.
(a) 16 days
(b) 32 days
(c) 24 days
(d) 40 days
(e) 48 days
Q12. If 9 men or 15 women can do a piece of work in 18 days working 9 hours a day. How many days will it take to complete a work twice as large with 6 men and 8 women working together 6 hours a day?
(a) 22 days
(b) 27.5 days
(c) 45 days
(d) 22.5 days
(e) 40 days
Q13. If (3p + 6) men can complete a work in 33⅓% less time than (⅔p+12) men can complete the same work. Then find time taken by 3(p-2) men to complete the same work if (3p + 6) men completed the work in 100 day.
(a) 150 days
(b) 75 days
(c) 125 days
(d) 100 days
(e) 200 days
Q14. The efficiency of A is 40% more than that of B and efficiency of C is less than that of A. Time taken by A and B together to complete the work is 11 days. Find the number of days taken by all of them to complete the thrice of the same work, working simultaneously.
(a) 13 days
(b) 22 days
(c) 11 days
(d) 26 days
(e) None of these
Q15. A filling tap can fill a tank in 10 hour. Two equivalent filling tap and one outlet tap are open simultaneously then tank is filled in 7 ½ hour. In how much time outlet tap can empty the tank.
(a) 10
(b) 15
(c) 20
(d) 12
(e) 16
Solutions