SSC CPO (2017 – 20)
Time and Work
1. P is four times as efficient as Q. P can complete a work in 45 days less than Q. If both of them work together, then in how many days the work will be completed? (SSC CPO 2017)
A. 10
B. 12
C. 15
D. 30
2. A and B together can complete a work in 30 day. They started together but after 6 days, A left the work and the work is completed by B after 36 more days. A alone can complete the entire work in how many days? (SSC CPO 2017)
A. 45
B. 90
C. 60
D. 120
3. A alone can complete the work in 10 days, B alone can do same work in 12 days and C alone can do the same work in 15 days. They jointly complete the work and earn Rs. 4500. What is the share of C? (SSC CPO 2017)
A. Rs.1800
B. Rs.900
C. Rs.1200
D. Rs.1500
4. Ram is five times as efficient as Rohit. Ram can complete a work in 60 days less than Rohit. If both of them work together then in how many days the work would be completed? (SSC CPO 2017)
A. 10
B. 12.5
C. 15
D. 20
5. A, B and C can do a piece of work in 20, 24 and 30 days respectively. All three of them began the work together but B left 3 days before completion of the work. In how many days was the work completed? (SSC CPO 2017)
A. 7
B. 10
C. 12
D. 9
6. P is 20% more efficient than Q. If Q alone can finish a work in 10 days, then in how many days P alone will finish the work? (SSC CPO 2017)
A. 8.5
B. 25/3
C. 9
D. 12
7. 18 persons working 8 hours a day can complete 3 units of work in 10 days. How many persons are required to complete 5 units of that work in 16 days working 6 hours a day? (SSC CPO 2018)
A. 25
B. 15
C. 20
D. 9
8. The efficiencies of A, B and C are in the ratio 5: 6: 8. Working together, they can complete a piece of work in 120 hours. In how many hours will B alone be able to complete 40% of that work? (SSC CPO 2018)
A. 152
B. 114
C. 182.4
D. 167.2
9. 6 men or 5 women earn Rs.14,820 in two days. How much will 4 women and 6 men earn in one day? (SSC CPO 2018)
A. Rs.13,338
B. Rs.13,832
C. Rs.26,676
D. Rs.27,664
10. The efficiency of A is thrice as that of B and efficiency of B is twice as that of C. If B alone can finish a work in 15 days, in how many days A and C together will complete that work? (SSC CPO 2018)
A. 4
B. 6
C. 7
D. 4
11. A can do a work in 30 days, B can do the same work in 48 days. After working alone for 20 days A left and B started working, how long will B take to complete the work? (SSC CPO 2018)
A. 24 days
B. 28 days
C. 38 days
D. 16 days
12. 4 boys from school A and 6 boys from school B together can set up an exhibition in 5 days, which 5 boys from school A and 10 boys from school C together can do in 4 days or 3 boys from school B and 4 boys from school C together can do in 10 days. Then how many boys from school A can set up the exhibition in one day? (SSC CPO 2019)
A. 40
B. 60
C. 80
D. 20
13. A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together on every third day. In how many days will the work be completed? (SSC CPO 2019)
A. 24
B. 23
C. 30
D. 22.5
14. A can do 2/5 of a work in 6 days and B can do 2/3 of the same work in 12 days. A and B worked together for 6 days. C alone completed the remaining work in 8 days. A and C, working together, will complete the same work in: (SSC CPO 2019)
A. 12 days
B. 8 days
C. 10 days
D. 9 days
15. A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x + 8) and (x+18) days, respectively. A and B together will complete 5/6 of the same work in: (SSC CPO 2019)
A. 12 days
B. 9 days
C. 10 days
D. 8 days
16. A works twice as fast as B and B works twice as fast as C. All three working together can finish a task in 4 days with the help of D. If D alone can finish the same task in 16 days, then in how many days will A alone finish 75% of the same task? (SSC CPO 2019)
A. 8
B. 9
C. 7
D. 6
17. A can finish one-third of a work in 5 days, B can finish 2/5th of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days. The remaining work will be finished by B alone in? (SSC CPO 2019)
A. 1.5 days
B. 5 days
C. 2 days
D. 3 days
18. Vivek can do a certain work in 14 days. Vishal is 75% more efficient than Vivek. How many days will Vishal alone take to do the same work? (SSC CPO 2019)
A. 6 days
B. 8 days
C. 9 days
D. 10 days
19. Vaibhav can do a piece of work in 60 days. He works for 15 days and then Sandeep completes the remaining work in 30 days. In how many days will Vaibhav and Sandeep working together finish the work? (SSC CPO 2019)
A. 20 days
B. 24 days
C. 22 days
D. 18 days
20. 3 men and 5 women together can complete a work in 6 days, whereas 4 men and 9 women together can do it in 4 days. How many women are required to do the same work in 7 days? (SSC CPO 2019)
A. 15
B. 12
C. 14
D. 10
21. A can complete one-third of a work in 10 days and B can do 3/5 of the same work in 24 days. They worked together for 10 days. The remaining work was completed by C alone in 15 days. In how many days can C alone do 2/3 rd of the same work? (SSC CPO 2019)
A. 27
B. 24
C. 32
D. 30
22. A is twice as efficient as B and C is thrice efficient as B. Working together, they can finish a certain work in 5 days. A and C worked together for 5 days. B alone would complete the remaining work in__. (SSC CPO 2019)
A. 6 days
B. 4 days
C. 8 days
D. 5 days
23. A and B can do a job in 10 days and 5 days, respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 60% of the job? (SSC CPO 2020)
A. 18 days
B. 24 days
C. 30 days
D. 25 days
24. X can do a work in 3 days, Y does three times the same work in 8 days, and Z does five times the same work in 12 days. If they have to work together for 6 hours in a day, then in how much time can they complete the work? (SSC CPO 2020)
A. 4 hours
B. 5 hours 20 minutes
C. 4 hours 10 minutes
D. 5 hours
25. A and B can do a piece of work in 36 days. B and C can do the same work in 60 days. A and C can do the same work in 45 days. In how many days can B alone complete the same work? (SSC CPO 2020)
A. 120
B. 45
C. 60
D. 90
26. A can complete some work in 35 days and B can complete the same work in 15 days. They worked together for 8 days, then B left the work. In how many days will A alone complete 60% of the remaining work?(SSC CPO 2020)
A. 10
B. 15
C. 8
D. 5
27. A and B can do a job in 10 days and 5 days, respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 40% of the job?
A. 18 days
B. 12 days
C. 10 days
D. 15 days
28. A can complete a certain work in 35 days and B can complete the same work in 15 days. They worked together for 7 days, then B left the work. In how many days will A alone complete 60% of the remaining work?
A. 8
B. 10
C. 7
D. 15
Pipe and Cistern
29. Two inlet pipes can fill a cistern in 20 and 24 hours respectively and an outlet pipe can empty 160 gallons of water per hour. All the three pipes working together can fill the empty cistern in 40 hours. What is the capacity (in gallons) of the tank? (CPO 2017)
A. 1200
B. 2400
C. 3600
D. 1800
30. Pipe A can fill a tank in 12 hours and Pipe B can fill the tank in 18 hours. If both the pipes are opened on alternate hours and if pipe B is opened first, then in how much time (in hours) the tank will be full? (CPO 2017)
A. 14.5
B. 14
C. 15.5
D. 15
31. Two pipes A and B can fill a tank in 20 hours and 24 hours respectively. If the two pipes opened at 5 in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?(CPO 2017)
A. 3 pm
B. 2 pm
C. 1 pm
D. 11 am
32. Two pipes A and B can fill an empty tank in 10 hours and 15 hours respectively. Pipe C alone can empty the completely filled tank in 12 hours. First both pipes A and B are opened and after 5 hours pipe C is also opened. What is the total time (in hours) in which the tank will be filled? (CPO 2017)
A. 7
B. 5
C. 9
D. 8
33. Pipes A and B can fill a tank in 6 hours and 9 hours respectively and pipe C can empty the full tank in 12 hours. If all three pipes are opened together when a tank is empty. In how many hours will 35% of the tank be filled? (CPO 2018)
A. 1.9
B. 1.6
C. 1.8
D. 1.5
34. Pipes A and B can be filled in 12 hours and 16 hours respectively and pipe C can empty the full tank in 24 hours. All three pipes are opened together, but after 4 hours pipe A is Closed. In how many hours from the beginning the tank be filled? (CPO 2018)
A. 24
B. 28
C. 30
D. 32
35. Pipes A and B can fill a tank in 16 hours and 24 hours respectively and pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 8 hours. After how many hours will the remaining part of the tank be filled? (CPO 2018)
A. 26
B. 22
C. 28
D. 30
36. Two pipes A and B can fill an empty tank in 16 hours and 20 hours respectively. They are opened alternately for 1 hour each, starting with pipe A first. In how many hours, the empty tank will be filled? (CPO 2018)
A. 17.07
B. 17.6
C. 17.2
D. 17.75
37. A pipe can fill a tank in 32 minutes. Due to a leakage, the tank gets filled in 48 minutes. The time the leakage will take to empty the full tank is : (CPO 2018)
A. 1 hour 56 minutes
B. 1 hour 36 minutes
C. 1 hour 42 minutes
D. 1 hour 20 minutes
38. Three pipes X, Y and Z discharge three different chemicals A, B and C in a tank. The pipes can fill the tank in 20, 25 and 40 minutes respectively. What will be the proportion of chemical B in the tank, if all the pipes are open for 10 minutes?(CPO 2018)
A. 8/23
B. 13/23
C. 4/7
D. 11/15
39. A pipe can fill a tank in 30 minutes. Due to two leakages A and B, the filled tank would be drained off in 1.5 hour and 1.25 hour respectively. How long will it take to fill the take to fill the tank if the pipe, A and B are left open? (CPO 2018)
A. 1.875
B. 1.33
C. 1.8
D. 1.83
40. Three pipes, A, Band C can fill a cistern in 15, 24 and 36 minutes respectively. If pipe D can drain a full tank in 1 hour, how long will it take for the tank to be filled if all the four pipes are kept open together?(CPO 2018)
A. 8.37
B. 5.48
C. 9.125
D. 7.67
41. Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. If only pipe B was kept open in the beginning for 1/5th of the total time and then, both pipe A and B were kept open for the remaining time. How many minutes did it take the pipes to fill the tank?(CPO 2018)
A. 13.04
B. 16.04
C. 13.21
D. 16.21
42. One tap can fill a tank in 3 hours and a leak can empty the tank in 5 hours. If the tap and the leak (which was half closed) were left open, how long will it take for the tank to fill? (CPO 2018)
A. 5.375 hours
B. 7.16 hours
C. 4 hours
D. 6.66 hours
43. Three pipes A, B and C can fill an empty cistern in 2, 3 and 6 hours respectively. They are opened together. After what time should B be closed, so that the cistern gets filled in exactly 1 hr 15 min? (CPO 2019)
A. 45 min
B. 20 min
C. 15 min
D. 30 min
44. Pipes A, B and C can fill a tank in 10, 15 and 30 hours, respectively. D is an emptying pipe which alone can empty the full tank in x hours. A, B and C are opened together for 3 hours and then closed. Now D is opened which alone empties the tank in 30 hours. What is the value of x?(CPO 2019)
A. 45
B. 40
C. 60
D. 50
45. Pipes A, B and C together can fill a cistern in 12 hours. All the three pipes are opened together for 4 hours and then C is closed. A and B together take 10 hours to fill the remaining part of the cistern. C alone will fill two thirds of the cistern in? (CPO 2019)
A. 50 hours
B. 40 hours
C. 60 hours
D. 48 hours
46. Three pipes, A, B and C, can fill a cistern in 12, 18 and 24 minutes, respectively. If all the pipes are opened together for 7 minutes, what will be the volume of the water that overflows as the percentage of the total volume of the cistern? (CPO 2019)
A. 23.33
B. 26.38
C. 26.27
D. 23.66
47. Pipes A and B together can fill an empty tank in 20/3 minutes. If A takes 3 minutes more than B to fill the tank, then the time (in minutes) in which A alone would fill one-third part of the tank is? (CPO 2019)
A. 6
B. 5
C. 5.5
D. 4.5
48. Pipes A and B can fill a tank in 36 hours and 48 hours, respectively. Both pipes are opened together for 9 hours and then A is closed. Pipe B alone will fill the remaining part of the tank in: (CPO 2019)
A. 20.5 hours
B. 25 hours
C. 27 hours
D. 24 hours
49. Pipes A and B are emptying pipes and can empty a tank in 6 hours and 16 hours, respectively. C is a filling pipe. All the three pipes were opened together. They took 80 minutes to empty 5/18 th of the tank. Pipe C alone can fill the tank in: (CPO 2019)
A. 42 hours
B. 40 hours
C. 48 hours
D. 36 hours
50. Pipes A and B together can fill a tank in 16 hours, whereas pipe C alone can empty the full tank in 24 hours. A and B were opened together for 10 hours and then closed. Pipe C was then opened. The tank will now be emptied by C in? (CPO 2019)
A. 18 hours
B. 10 hours
C. 15 hours
D. 12 hours
51. A tank is filled in 4 hours by three pipes A, B and C. The pipe C is twice as fast as B and pipe B is thrice as fast as A. How much time will pipe A alone take to fill the tank? (CPO 2019)
A. 32 hours
B. 25 hours
C. 40 hours
D. 30 hours
52. Taps A and B can fill a tank in 15 minutes and 10 minutes, respectively while tap C can empty the full tank in x minutes. If all the three taps are opened together, the tank is filled completely in 8 minutes. Tap C alone will empty 3/8 th part of the tank in: (CPO 2019)
A. 10 minutes
B. 9 minutes
C. 10.5 minutes
D. 8.5 minutes
53. Pipes A and B can empty a full tank in 18 hours and 24 hours, respectively. Pipe C alone can fill the tank in 36 hours. If the tank is 5/6 full and all the three pipes are opened together, then in how many hours will the tank be emptied? (CPO 2019)
A. 10.5
B. 12.5
C. 10
D. 12
54. Pipes A and B can fill a tank in 18 minutes and 22.5 minutes, respectively while pipe C can empty the full tank in 12 minutes. A and B are opened together for 6 minutes and then closed. Now C is opened. C alone will empty the tank in__. (CPO 2019)
A. 5 minutes
B. 8.4 minutes
C. 7.2 minutes
D. 6 minutes
55. Pipe A can fill a tank of capacity 350 litres in 3.5 minutes. Pipe B can fill a tank of capacity 780 litres in 26/3 minutes. How long (in min) will it take to fill a tank of capacity 1615 litres, if both pipes are opened together? (CPO 2019)
A. 9
B. 7.5
C. 8.5
D. 8
56. Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 10 hours. After how many hours will the remaining part of the tank be filled? (CPO 2020)
A. 10
B. 12.5
C. 15.5
D. 20
57. When operated separately, pipe A takes 5 hours less than pipe B to fill a cistern, and when both pipes are operated together, the cistern gets filled in 6 hours. In how much time (in hours) will pipe B fill the cistern, if operated separately? (CPO 2020)
A. 50/7
B. 15/7
C. 30/7
D. 20/7
58. Pipes A, B and C can fill an empty tank in 30/7 hours, if all the three pipes are opened simultaneously. A and B are filling pipes and C is an emptying pipe. Pipe A can fill the tank in 15 hours and pipe C can empty it in 12 hours. In how much time (in hours) can pipe B alone fill the empty tank? (CPO 2020)
A. 3
B. 4
C. 6
D. 5
59. When operated separately, pipe A takes 5 hours less than pipe B to fill a cistem, and when operated together, the cistern gets filled in 6 hours. In how much time (in hours) will pipe A fill the cistern, if operated separately?(CPO 2020)
A. 15
B. 18
C. 10
D. 9
60. Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full? (CPO 2020)
A. 3:20 p.m.
B. 11:20 p.m
C. 7:20 p.m.
D. 5:20 p.m.
61 .Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe C is closed after 10 hours. After how many hours will the remaining part of the tank be filled? (CPO 2020)
A. 2.5
B. 2
C. 5.5
D. 5
62. Two pipes A and B can fill a cistern in 12.5 hours and 25 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom, it took 1 hour 40 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty the cistern? (CPO 2020)
A. 45 hours
B. 42 hours
C. 48 hours
D. 50 hours
SSC CGL 2017
63. The ratio of the efficiencies of A, B and C is 4: 5: 3. Working together, they can complete that work in 25 days. A and C together will complete 35% of that work in: (SSC CGL 2017 Pre)
A. 15 days
B. 18 days
C. 12 days
D. 10 days
64. The ratio of the efficiencies of A, B and C is 7: 5: 4. Working together, they can finish a work in 35 days. A and B work together for 28 days. The remaining work will be completed (in days) by C alone in: (SSC CGL 2017 Pre)
A. 49
B. 56
C. 63
D. 60
65. The ratio of the efficiencies of A, B and C is 7: 5: 8. Working together, they can complete a piece of work in 42 days. B and C worked together for 21 days and the remaining work was completed by A alone. The whole work was completed in: (SSC CGL 2017 Pre)
A. 99 days
B. 102 days
C. 96 days
D. 93 days
66. To do a certain work, A and B work on alternate days, with B beginning the work on the first day. A can finish the work alone in 48 days. If the work gets completed in 34/3 days, then B alone can finish 4 times the same work in:(SSC CGL 2017 Pre)
A. 32 days
B. 24 days
C. 27 days
D. 20 days
67. A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 10 days. In how many days will A alone complete 150% of that task? (SSC CGL 2017 Pre)
A. 35
B. 33
C. 31
D. 28
68. 3 men, 4 women and 6 boys together can complete a work in 6 days. A woman does triple the work a man does and a boy does half the work a man does. How many women alone will be able to complete this work in 4 days? (SSC CGL 2017 Pre)
A. 8
B. 9
C. 7
D. 6
69. A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and B left the job 6 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed? (SSC CGL 2017 Pre)
A. 10
B. 12
C. 14
D. 16
70. S, T and U can complete a work in 40, 48 and 60 days respectively. They received Rs 10800 to complete the work. They begin the work together but T left 2 days before the completion of the work and U left 5 days before the completion of the work. S has completed the remaining work alone. What is the share of S (in Rs) from total money? (SSC CGL 2017 Pre)
A. 4000
B. 4320
C. 4500
D. 4860
71. A is 1.5 times efficient than B therefore takes 8 days less than B to complete a work. If A and B work on alternate days and A works on first day, then in how many days the work will be completed? (SSC CGL 2017 Pre)
A. 17
B. 19
C. 19.5
D. 21
72. A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient? (SSC CGL 2017 Pre)
A. A
B. B
C. C
D. A or B
73. 3 men or 4 women can complete a job in 120 days. 12 men and 16 women will complete the same job in how many days? (SSC CGL 2017 Pre)
A. 12
B. 14
C. 15
D. 18
74. 10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?(SSC CGL 2017 Pre)
A. 4: 6: 3
B. 4: 5: 3
C. 2: 4: 3
D. 4: 8: 3
75. A, B and C can complete a work in 10, 12 and 15 days respectively. All three of them starts together but after 2 days A leaves the job and B left the job 3 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed? (SSC CGL 2017 Pre)
A. 5
B. 6
C. 7
D. 8
76. A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day? (SSC CGL 2017 Pre)
A. 4
B. 5
C. 6
D. 4
77. A and B can together do a piece of work in 10 days. If A works with twice of his efficiency and B works with an efficiency 1/3rd less than his efficiency, then the work gets completed in 6 days. In how many days can A and B do the work alone respectively? (SSC CGL 2017 Pre)
A. 40/3, 40
B. 20/3, 20
C. 30, 20/3
D. 50/3, 25
78. A and B have to type a book together containing 120 pages. A takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first 60 pages alone and the last 60 pages were typed by A and B together. How much time (in hours) will be taken to type the complete book? (SSC CGL 2017 Pre)
A. 24
B. 20
C. 12
D. 15
79. A can paint a house in 25 days and B can do it in 10 days. Along with C, they did the job in 6.25 days only. Then in how many days, C alone can do the job? (SSC CGL 2017 Pre)
A. 50
B. 40
C. 30
D. 60
80. Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job? (SSC CGL MAINS – 2017)
A. 60
B. 90
C. 72
D. 120
81. A and B can together complete a task in 18 hours. After 6 hours A leaves. B takes 36 hours to finish rest of the task. How many hours would A have taken to do the task if he worked alone? (SSC CGL MAINS – 2017)
A. 54
B. 45
C. 21
D. 27
82. A, B and C together can finish a task in 7.5 days. C is thrice as productive as A and B alone can do the task in 15 days. In how many days can A and C do the job if B goes on leave? (SSC CGL MAINS – 2017)
A. 30
B. 10
C. 20
D. 15
83. A is thrice as productive as C. Together they can complete a job in 22.5 days. If B joins them after they have worked for 15 days then in how many days can they finish the rest of the job if B alone can do the job in 15 days? (SSC CGL MAINS – 2017)
A. 6
B. 3
C. 9
D. 2
84. If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job? (SSC CGL MAINS – 2017)
A. 36
B. 6
C. 18
D. 12
85. Working alone A can do the task in 27 hours and B can do it in 54 hours. Find C’s share (in Rs) if A, B and C get paid Rs 4,320 for completing a task in 12 hours on which they worked together. (SSC CGL MAINS – 2017)
A. 1440
B. 960
C. 1920
D. 1280
86. Working together A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days respectively if they worked alone. In how many days can C do the task if he worked alone? (SSC CGL MAINS – 2017)
A. 22
B. 44
C. 20
D. 40
87. B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task? (SSC CGL MAINS – 2017)
A. 30
B. 15
C. 20
D. 10
88. A, B and C together can finish a task in 12 days. A is twice as productive as B and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave? (SSC CGL MAINS – 2017)
A. 10
B. 20
C. 15
D. 18
89. A is thrice as good a workman as B. C alone takes 48 days to paint a house. All three A, B and C working together take 16 days to paint the house. It will take how many days for B alone to paint the house? (SSC CGL MAINS – 2017)
A. 32
B. 64
C. 96
D. 72
90. C is 5 times as productive as B. A takes 60 days to complete a task. If A, B and C work together they can complete the task in 12 days. In how many days can B complete the task if he worked alone? (SSC CGL MAINS – 2017)
A. 18
B. 27
C. 90
D. 72
91. A, B and C together can build a wall in 12 days. C is four times as productive as B and A alone can build the wall in 48 days. In how many days A and B working together can build the wall? (SSC CGL MAINS – 2017)
A. 20
B. 30
C. 80
D. 40
92. Working together A and B can do a job in 36 days, B and C in 10 days and all three together 9 days. In how many days can B alone do the job?(SSC CGL MAINS – 2017)
A. 90
B. 30
C. 24
D. 60
SSC CGL 2018
93. The ratio of the efficiencies of A, B and C is 7: 5: 8. Working together, they can complete a piece of work in 42 days. B and C worked together for 21 days and the remaining work was completed by A alone. The whole work was completed in:
A. 102 days
B. 93 days
C. 99 days
D. 96 days
94. To do a certain work, A and B work on alternate days, with B beginning the work on the first day. A can finish the work alone in 48 days. If the work gets completed in 34/3 days, then B alone can finish 4 times the same work in:
A. 30 days
B. 27 days
C. 24 days
D. 32 days
95. A is 40% more efficient than B and C is 20% less efficfient than B. Working together, they can finish a task in 15 days. In how many days, will B alone complete 75% of the task?
A. 36
B. 44
C. 32
D. 48
96. A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 20 days. In how many days will C alone complete 30% of that task?
A. 31
B. 33
C. 35
D. 29
97. 3 men, 4 women and 6 boys together can complete a work in 5 days. A woman does double the work a man does and a boy does half the work a man does. How many women alone will be able to complete this work in 7 days?
A. 14
B. 5
C. 7
D. 8
98. To do a certain work, the ratio of efficiency of A to that of B is 3: 7. Working together, they can complete the work in 10.5 days. They work together for 8 days. 60% of the remaining work will be completed by A alone in: (CGL MAINS 2018)
A. 5.5 days
B. 5 days
C. 6.5 days
D. 4 days
99. A certain number of persons can complete a work in 34 days working 9 h a day. If the number of persons is decreased by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days? (CGL MAINS 2018)
A. 9
B. 8
C. 12
D. 10
100. 4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can do it in 10 days. To complete the same work in 7 days, how many women should assist 4 men? (CGL MAINS 2018)
A. 11
B. 14
C. 12
D. 13
101. To do a certain work, the ratio of the efficiencies of X and Y is 5: 4. Working together, they can complete the same work in 10 days. Y alone starts the work and leaves after 5 days. The remaining work will be completed by X alone in? (CGL MAINS 2018)
A. 14 days
B. 15 days
C. 12 days
D. 10 days
102. A can do 40% of a work in 12 days, whereas B can do 60% of the same work in 15 days. Both work together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in? (CGL MAINS 2018)
A. 2.5 days
B. 3 days
C. 1.5 days
D. 2 days
103. A is as efficient as B and C together. Working together A and B can complete a work in 36 days and C alone can complete it in 60 days. A and C work together for 10 days. B alone will complete the remaining work in: (CGL MAINS 2018)
A. 110 days
B. 84 days
C. 88 days
D. 90 days
104. A can do one-third of a work in 15 days, B can do 75% of the same work in 18 days and C can do the same work in 36 days. B and C work together for 8 days. In how many days will A alone complete the remaining work? (CGL MAINS 2018)
A. 24 days
B. 20 days
C. 18 days
D. 16 days
105. 25 persons can complete a work in 60 days. They started the work, 10 persons left the work after x days. If the whole work was completed in 80 days, then what is the value of x? (CGL MAINS 2018)
A. 9
B. 8
C. 12
D. 15
106. Pipes A and B can fill a tank in one hour and two hours respectively while pipe C can empty the filled up tank in one hour and fifteen minutes. A and C are turned on together at 9 a.m. After 2 hours, only A is closed and B is turned on. When will the tank be emptied? (CGL PRE 2018)
A. 12:10 p.m.
B. 11:30 a.m.
C. 12:20 p.m.
D. 10:30 a.m.
107. Pipes A and B are filling pipes while pipe C is an emptying pipe. A and B can fill a tank in 72 and 90 minutes respectively. When all the three pipes are opened together, the tank gets filled in 2 hours. A and B are opened together for 12 minutes, then closed and C is opened. The tank will be empty after? (CGL MAINS 2018)
A. 15 minutes
B. 18 minutes
C. 12 minutes
D. 16 minutes
108. Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, and pipe C alone can empty the full tank in x hours. All the pipes were opened together at 10:30 a.m., but C was closed at 2:30 p.m. If the tank was full at 8:30 p.m. on the same day, then what is the value of x? (CGL MAINS 2018)
A. 64
B. 48
C. 45
D. 96
109. Pipes A, B and C can fill a tank in 30 h, 40 h and 60 h respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 10 a.m., respectively on the same day. When will the tank be full? (CGL MAINS 2018)
A. 10:00 p.m.
B. 10:20 р.m.
C. 9:20 p.m.
10. 9:40 p.m.
SSC CGL 2019
110. A, B and C can individually complete a piece of work in 24 days, 15 days and 12 days respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work is?
A. 11
B. 15.5
C. 18
D. 13.5
111. A can complete a certain piece of work in 40 days. B is 25% more efficient than A and C is 28% more efficient than B. They work together for 5 days. The remaining work will be completed by B alone in:-
A. 16 days
B. 20 days
C. 20 days
D. 16 days
112. A can complete a certain work in 30 days, B is 25% more efficient than A and C is 20% more efficient than B. They all worked together for 3 days. B alone will complete the remaining work in:
A. 15 days
B. 12 days
C. 20 days
D. 18 days
113. A and B, working together, can complete a work in d days, working alone A takes (8+d) days and B takes (18+d) days to complete the same work. A works for 4 days. The remaining work will be completed by B alone is:-
A. 24 days
B. 16 days
C. 18 days
D. 20 days
114. Four men and 6 women can complete a certain piece of a work in 5 days whereas three men and 4 women can complete it in 7 days. How many men assist 25 women to complete 2.5 times the same work in 5 days?
A. 8
B. 10
C. 4
D. 5
115. To complete a certain task, X is 40% more efficient than Y, and Z is 40% less efficient than Y. working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will be complete by A alone is:
A. 8 days
B. 4 days
C. 6 days
D. 5 days
116. Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will twenty women finish the same work?
A. 12
B. 9
C. 11
D. 13
117. A, B, and C can individually complete a task in 24 days, 20 days and 18 days respectively. B and C start the task and they work for 6 days and leave. The number of days required by A alone to finish the remaining task is:
A. 10 days
B. 12.5 days
C. 8.8 days
D. 15.66 days
117. A, B and C can an individually complete a task in 20 days, 16 days and 30 days respectively. If A and B started working on the task, and they worked for 4 days and left, then the number of days required by C to finish the remaining task is:
A. 16.5 days
B. 12.5 days
C. 13 days
D. 10 days
118. Ten men or twelve women can finish the same work in 10 days. If 5 men and 2 women undertake the work together. How many days will they take to complete the work?
A. 15
B. 40
C. 20
D. 60
119. A contract is to be completed in 75 days and 187 men are to work 15 hours per day. After 65 days, 3/5 of the work is completed, how many additional men may be employed, so that the work may be completed in time, each man now working 17 hours per day?
A. 514
B. 532
C. 528
D. 495
120. A, B and C can individually complete a task in 24 days, 16 days and 32 days respectively. If A and C start the work and worked for 6 days and left, then the number of days required by B to complete the remaining task, is:
A. 9
B. 7
C. 17
D. 12
121. Eight persons can finish a work in 20 days. After 5 days they were requested to complete the work in the next 8 days. How many more persons should join the group to fulfill the requirement?
A. 23
B. 12
C. 15
D. 7
122. A can do a piece of work in 15 days. B is 25% more efficient than A, and C is 40% more efficient than B. A and C work together for 3 days and then C leaves. A and B together will complete the remaining work in: (CGL MAINS 2019)
A. 2.5 days
B. 3.5 days
C. 4 days
D. 3 days
123. Three men and 4 women can do a piece of work in 7 days, whereas 2 men and 1 woman can do it in 14 days. Seven women will complete the same work in: (CGL MAINS 2019)
A. 10 days
B. 12 days
C. 8 days
D. 9 days
124. A can do 20% of a work in 4 days; B can do 33.33 % of the same work in 10 days. They worked together for 9 days. C completed the remaining work in 6 days. B and C together will complete 75% of the same work in: (CGL MAINS 2019)
A. 12 days
B. 15 days
C. 10 days
D. 9 days
125. To do a certain work, the ratio of the efficiencies of A and B is 7: 5. Working together, they can complete the same work in 17.5 days. A alone will complete 60% of the same work in: (CGL MAINS 2019)
A. 16 days
B. 18 days
C. 21 days
D. 15 days
126. Two men and 7 women can complete a work in 28 days, whereas 6 men and 16 women can do the same work in 11 days. In how many days will 5 men and 4 women, working together, complete the same work? (CGL MAINS 2019)
A. 18
B. 14
C. 22
D. 20
127. A can do 33.33% of a work in 30 days. B can do 40% of the same work in 24 days. They worked together for 20 days. C completed the remaining work in 8 days. Working together A, B and C will complete the same work in:(CGL MAINS 2019)
A. 10 days
B. 12 days
C. 18 days
D. 15 days
128. A, B and C can do a work separately in 18, 36 and 54 days respectively. They started the work together, but B and C left 5 days and 10 days before the completion of the work respectively. In how many days was the work finished? (CGL MAINS 2019)
A. 13 days
B. 12 days
C. 14 days
D. 15 days
129. A and B can do a piece of work in 18 days. B and C together can do it in 30 days. If A is twice as good a workman as C, find in how many days B alone can do the work? (CGL MAINS 2019)
A. 80 days
B. 100 days
C. 75 days
D. 90 days
130. Pipes A and B can fill a tank in 10 hours and 40 hours, respectively. C is an outlet pipe attached to the tank. If all the three pipes are opened simultaneously, it takes 80 minutes more time than what A and B together take to fill the tank. A and B are kept opened for 7 hours and then closed and C was opened. C will now empty the tank in: (CGL PRE 2019)
A. 42 hours
B. 45.5 hours
C. 49 hours
D. 38.5 hours
131. Pipes A and B can fill a tank in 43.2 minutes and 108 minutes, respectively. Pipe C can empty it at 3 itres/minute. When all the three pipes are opened together, they fill the tank in 54 minutes. The capacity (in litres) of the tank is: (CGL MAINS 2019)
A. 160
B.180
C. 216
D. 200
132. Pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. The tank when full can be emptied by pipe C in x minutes. When all the three pipes are opened simultaneously, the tank is full in 10 minutes. The value of x is: (CGL MAINS 2019)
A. 18
B. 15
C. 20
D. 24
SSC CGL 2020
133. Fourteen persons can do a work in 18 days. After 5 days of work, 6 workers left the work, and joined back on the last day of the work. In how many days the work got completed?
(a) 24
(b) 12
(c) 21
(d) 27
134. To do a certain work, the ratio of efficiencies of X and Y is 5 : 7. Working together, X and Y can complete the same work in 70 days. X alone started the work and left after 42 days. Y alone will complete the remaining work in:
(a) 90 days
(b) 96 days
(c) 80 days
(d) 72 days
Option – a
135. A can do a piece of work in 2 days, and B can do five times the same work in 15 days when they work for ten hours a day. If they work together, then how many hours in addition to a days’ work will they require to complete the work?
(a) 2
(b) 1
(c) 0
(d) 3
136. Eighteen persons working 8 hours a day can complete 3 units of work in 10 days. How many days are required by 25 persons to complete 5 units of work working 6 hours a day?
(a) 20
(b) 12
(c) 16
(d) 10
137. A and B can do a certain work in 18 days and 30 days, respectively. They work together for 5 days. C alone completes the remaining work in 15 days. A and C together can complete 5 6 th part of the same work in:
(a) 6 days
(b) 8 days
(c) 9 days
(d) 5 days
138. A can do a certain work in 15 days. B is 25% more efficient than A. Both worked together for 4 days. C alone completed the remaining work in 8 days. A, B and C together will complete the same work in ?
(a) 5 days
(b) 4.5 days
(c) 6.5 days
(d) 4 days
139. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 4 days B had to leave. Then A working with a new worker C completed the remaining work in 3 days. If C works alone, in how many days he can do 40% of the same work?
(a) 9
(b) 8
(c) 10
(d) 8.5
140. Samir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for Rs. 4500. After working together for 3 days Samir and Puneet involved Ashok. The work was completed in total 5 days. What amount (in Rs.) was paid to Ashok?
(a) 750
(b) 1500
(c) 1071
(d) 800
141. Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?
(a) 12
(b) 11
(c) 24
(d) 22
142. Each one of five men independently can complete a work in 20 days. The work is started by one person. Next day one more person joins and every next day one more person joins. From the fifth day, five persons continued working as a team. In how many days, will the work be completed?
(a) 2
(b) 6
(c) 3
(d) 5
143. A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good a workman as C, then in what time will B alone do 40% of the same work?
(a) 12 days
(b) 10 days
(c) 18 days
(d) 15 days
144. A can complete a work in 60 days. B is 25% more efficient than A. They work together for 15 days. C alone completes the remaining work in 14 days. B and C together will complete 5/8 th part of the original work in:
(a) 18 days
(b) 16 days
(c) 12 days
(d) 15 days
145. Five men can complete a work in 20 days. Ten women can complete the same work in 15 days. Two men and six women started working together. After 5 days, three women left the work and a new man joined the work. The group continued working together till the end of the work. In how many days will they be able to do the remaining work?
(a) 14
(b) 19
(c) 18.33
(d) 16.66
146. A can complete a work in 11.5 days. B is 25% more efficient than A and C is 50% efficient than B. Working together A. B and C will complete the same work
(a) 8 days
(b) 4 days
(c) 3 days
(d) 5 days
147. Eighteen men can complete a work in 14 days. Three women do as much work as two men. Five men and six women started the work and continued for 4 days. Subsequently 3 more men joined the group. In how many total days was the work completed?
(a) 21.33
(b) 14.33
(c) 18
(d) 22
148. To do a certain work, A and B work on alternate days with B beginning the work on the first day. A alone can complete the same work in 24 days. If the work gets completed in 34/3 days, then B alone can complete 7/9 th part of the original work in:
(a) 5.5 days
(b) 4 days
(c) 4.5 days
(d) 6 days
149. A tank is filled in 4 hours by three pipes A, B and C. The pipe C is 1.5 times as fast as B and B is 3 times as fast as A. How many hours will pipe A alone take to fill the tank?
(a) 17
(b) 34
(c) 30
(d) 15
150. Pipes A and B can fill a tank in 12 hours and 16 hours respectively and pipe C can empty the full tank in 24 hours. All three pipes are opened together, but after 4 hours pipe B is closed. In how many hours, the empty tank will be completely filled?
(a) 18
(b) 32
(c) 28
(d) 14
151. Two pipes A and B can fill an empty tank in 10 hours and 16 hours respectively. They are opened alternately for 1 hour each, opening pipe B first. In how many hours, will the empty tank be filled?
(a) 12.4
(b) 14.4
(c) 10.4
(d) 16.4
ICAR 2022
1. To do a certain work, A is 40% more efficient than B, and C is 25% less efficient than B. Working together, they can complete the work in 20 days. B and C together can complete two-third of the same work in?
A) 24 days
B) 30 days
C) 36 days
D) 21 days
2. A takes 6 more days than B to complete a certain work. B starts the work and A took over after 4 days and completed remaining work in 12 days. A and B together can complete 62.5% of the original work in?
A) 4 days
B) 6 days
C) 6.5 days
D) 4.5 days
3. The ratio of efficiency of A & B is 9:7. Working together, they can complete a certain work in 5 days. A alone completed
part of the work and B alone completed the remaining work. The total number of days in which the entire work got completed is?
A) 10
B) 9
C) 10
D) 12
4. A can do a certain work in 60 days. B is 25% more efficient than A, while C is 20% more efficient than B. B alone completed 37.5% of work. A and C together completed the remaining work. The entire work got completed in?
A) 35 days
B) 33 days
C) 32 days
D) 30 days
5. To complete a certain work, A takes the same time that B and C together take. A and B working together can complete the same work in 20 days and C alone can complete it in 30 days. B and C together work for 8 days. In how many days can A alone complete the remaining work?
A) 20
B) 16
C) 12
D) 15
6. A can do a certain work in 40 days. B has 66 % less efficiency than A and C is 400% more efficient than B. All the three started the work together. If B and C left the work 5 days and 2 days before the completion of the work respectively, then in how many days was the entire work completed?
A) 16
B) 20
C) 15
D) 18
7. 8 men and 2 women can do a piece of work in 7 days, where as 10 men and 2 women can do it in 6 days. How many men should assist 5 women to do the same work in 10 days?
A) 5
B) 3
C) 6
D) 4
8. A can do a certain work in 18 days. B is 25% less efficient than A. A alone worked for a few days and then, B joined him. Both worked together till the completion of the work. The entire work got completed in 12 days. For how many days did A and B work together?
A) 6
B) 4
C) 9
D) 8
9. Working together, A and B can do a certain work in 45 days. They work together for 10 days. The complete the remaining work in 28 days with the assistance of C. The worked by C in 3 days is equal to the work done by B in 2 days. A and C together can complete 70% of the original work in?
A) 36 days
B) 35 days
C) 40 days
D) 30 days
10. A can do a piece of work in 40 days. B is 20% less efficient than A and C is 60% more efficient than B. A & B work together for 8 days, then A leaves and C joins B and both work together till the work is finished. In how many days is the entire work complete?
A) 20
B) 21
C) 18
D) 12
11. The ratio of the efficiencies of X and Y in completing a work is 5:4. Working together, they can complete the same work in 10 days. Y started working and left after 5 days. If X working alone, can complete the remaining work in a day. After Y leaves the work and Z joins the work, X and Z working together can complete the remaining work in 7 days. Working alone, Z can complete the remaining work in b days. Then find the value of a:b?
A) 3;1
B) 1;5
C) 1:1
D) 2:3
12. A can complete a certain work in 35 days. B is 40% more efficient than A, and C is 25% more efficient than B. B and C work together for 8 days. The remaining work is completed by A with the help of D in 3 days. D alone can complete 72% of the original work in?
A) 18 days
B) 14 days
C) 15 days
D) 12 days
13. A can do certain work in 45 days. He alone completed 3/5 of the work. B alone completed the remaining work in 12 days. Working together, in how many days can one-third of the original work be completed by A and B?
A) 4
B) 5
C) 6
D) 8
14. A can do a certain work in 30 days. B is 25% less efficient than A and C is 60% more efficient than B. B and C work together for 10 days. A alone will complete the remaining work in?
A) 9 days
B) 10 days
C) 10 days
D) 9 days
15. After working for 6 days, Meena finds that only one-third of the work has been completed. She now employs Nina, who is 40% less efficient than her, and works together till the work is completed. In how many (total) days is the entire work completed?
A) 7
B) 11
C) 17
D) 13
16. To do a certain work, A is 60% more efficient than B, and B is 10% less efficient than C. C alone can complete the same work in 36 hours. A and B work together for 5 hours. How much time (in hours) will C alone take to complete the remaining work?
A) 24.3
B) 25.2
C) 24.8
D) 23.8
17. A can complete a work in 45 days. B is 80% more efficient than A, and C is 25% less efficient than B. B and C worked together for 10 days. Now in how many days only A can complete the remaining work?
A) 13 days
B) 12 days
C) 12 days
D) 15 days
18. 5 men and 12 women can complete a certain work in 2 days, whereas 3 men and 4 women can also complete the same work in 5 days. How many men are required to complete the same work in 8 days? A) 5
B) 6
C) 4
D) 8
19. Four men and 5 women can complete a work in 15 days, whereas 9 man and 6 women can complete it in 10 days. To complete the same work in 7 days, how many men should assist 13 women?
A) 6
B) 8
C) 5
D) 4
20. Pipe A can fill a tank in 12 hours. Pipe B can fill 33.33% part of the same tank in 6 hours, whereas pipe C alone can empty full tank in x hours. When all the three pipes are opened together, 13/15 part of the tank is filled in 12 hours. How much time (in hours) will A and C together take to fill 40% part of the tank?
A) 32
B) 24
C) 28
D) 20
21. A tank has n pipes attached to it, out of which 2 are outlet pipes and the rest are inlet pipes. Each inlet pipe can fill a tank in 10 hours and each outlet pipe can empty the full tank in 15 hours. When all the pipes are opened together then 91 % part of the tank is filled in 2
hours. What is the value of n?
A) 6
B) 9
C) 8
D) 7
22. Pipes A and B can fill a tank in 9 hours and 15 hours, respectively. Both pipes were opened at the same time. After some time, it was found that there was a leak at the bottom of the tank which was capable of emptying the fully filled tank in 22 hours. It was then he repaired. If the tank got filled in a total time of 6 hours, then after how much time was the leakage repaired?
A) 1 hours
B) 2 hours
C) 1 hours
D) 1 hours
23. A tank is attached to 16 pipes, some of them are filling pipes and the remaining are emptying pipes. Each of the filling pipes can fill a tank in 8 hours and each of the emptying pipes can empty a full tank in 10 hours. When the tank is 65% empty, all the pipes are opened at the same time. It takes one hour to fill the tank completely. How many pipes are emptying pipes?
A) 8
B) 6
C) 4
D) 5
24. Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, and C is an emptying pipe, which alone can empty a full tank in x hours. All the pipes were opened together at 9:30 am, but C was closed at 12:30 pm. If the tank was full at 7:30 pm on the same day, then what is the value of x?
A) 80
B) 60
C) 65
D) 72
25. Pipes A and B together can fill an empty tank in x minutes. A alone takes (8+x) minutes to fill the tank and B alone takes (32+x) minutes to fill the tank. A and B together fill the tank for 10 minutes. C alone fills the remaining part of the tank 4 minutes. A, B & C together can fill 7/20th part of the tank in?
A) 3 minutes
B) 2 minutes
C) 2 minutes
D) 3 minutes
26. Pipe A and Pipe B are the filling pipe, while the pipe is the emptying pipe. Pipes A and B together can fill a tank in 30 hours. The time taken by A, B and C together to fill the tank is 33 % more than the time taken by A and B together to fill the tank. In how much time (hours) will C alone take to empty the full tank?
A) 150
B) 100
C) 90
D) 120
27. Pipes A and B can fill an empty cistern in 30 minutes and 40 minutes respectively. Both the pipes were opened for x minutes and then B was closed and A continued to fill. If the tank is completely filled in 22 minutes, then what will be the value of x?
A) 12
B) 10
C) 9
D) 8
28. Pipes A and B can fill a tank in 18 hours and 30 hours, respectively, while C alone can empty the full tank in x hours. All the three pipes are kept open for 3 hours, then B is closed. After another 3 hours, C is closed. The total time taken to get the tank filled completely is 21 hours. What is the value of x?
A) 21
B) 22
C) 18
D) 20
29. A leak in the bottom of a tank can empty the full tank in 9 hours. An inlet pipe fills water at the rate of 5 liters per minute. When the tank is full, the inlet is opened and due to the leak the tank gets empty in 12 hours. The capacity of the tank (in liters) is?
A) 18000
B) 10008
C) 10800
D) 10080
30. Pipe A can fill a cistern in 16 minutes and pipe B can empty the full tank in 24 minutes. If both the pipes are opened simultaneously, after how many minutes if pipe B is closed, the tank will be filled in 20 minutes?
A) 6
B) 8
C) 5
D) 10