1728 + Mcqs in Time and Work Page 18 McqOptions

851.	P, Q and R together can complete a work in 40 days. P and Q together can complete the same work in 90 days. Then R alone can complete the same work in how many days?
A.	40
B.	72
C.	84
D.	90
Answer» C. 84

Discussion

852.	‘A’ is thrice as good a workman as ‘B’ and takes 10 days less to do a piece of work than ‘B’ takes. The number of days taken by ‘B’ alone to finish the work is
A.	12
B.	15
C.	20
D.	30
Answer» C. 20

Discussion

853.	Pipe C and D alone can fill a tank in 4 and 5 hours, respectively. If pipe C is closed after 3 hours and at the same time pipe D is opened, in how many hours will the tank get filled?
A.	0.8
B.	1.25
C.	1
D.	1.5
Answer» C. 1

Discussion

854.	A water tap fills a tub in ‘p’ hours and a sink at the bottom empties it in ‘q’ hours. If p < q and both tap and sink are open, the tank is filled in ‘r’ hours:
A.	\(\frac{1}{r} = \frac{1}{p} + \frac{1}{q}\)
B.	\(\frac{1}{r} = \frac{1}{p} - \frac{1}{q}\)
C.	r = p + q
D.	r = p – q
Answer» C. r = p + q

Discussion

855.	If 3 men or 4 women can reap a field in 43 days then the number of days in which the field can be reaped by 7 men and 5 women is -
A.	12
B.	10
C.	15
D.	14
Answer» B. 10

Discussion

856.	A and B together can complete a task in 1.2 days. However, if A works alone, completes half the job and leaves and then B works alone and completes the rest of the work, it takes 2.5 days in all to complete the work. If B is more efficient than A, how days would it have taken it have taken B to do the work by herself?
A.	1.5
B.	1.8
C.	2
D.	2.2
Answer» D. 2.2

Discussion

857.	A works thrice as fast as B. if B can complete a work in 16 days independently, the number of days in which A and B can together finish the work is?
A.	5 days
B.	3 days
C.	4 days
D.	2 days
Answer» D. 2 days

Discussion

858.	A pipe can fill a cistern in 20 minutes where as the cistern when full can be emptied by a leak in 28 minutes. When both are opened, The time taken to fill the cistern is:
A.	80 min
B.	70 min
C.	60 min
D.	48 min
Answer» C. 60 min

Discussion

859.	39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, of same efficiency working 6 hours a day, complete the work ?
A.	10
B.	13
C.	14
D.	15
Answer» C. 14

Discussion

860.	A can do a work alone in 11 days while B takes 16.5 days to do it alone. It takes 5.5 days for them to complete the work together with C. If C and D can work together in 22 days, then how many days will D need to complete the work alone?
A.	44
B.	66
C.	55
D.	77
Answer» C. 55

Discussion

861.	P can build a wall in 36 days, Q can build the same wall in 24 days. while R can build in 48 days. If they work together in how many days they will build wall?
A.	536/49
B.	440/37
C.	144/13
D.	368/56
Answer» D. 368/56

Discussion

862.	A can do a piece of work in 8 days. B and C together can do it in 6 days, while A and C together can do it in 4 days. How many days will B take to do the work alone?
A.	20 days
B.	16 days
C.	24 days
D.	10 days
Answer» D. 10 days

Discussion

863.	A can complete a work in 10 days. B can complete the same work in 15 days. If B starts the work and A joins him after 5 days, then in how many days will the total work be completed?
A.	8
B.	6
C.	7
D.	9
Answer» E.

Discussion

864.	Pipe A can fill a tank in 30 minutes. Pipe B can fill the same tank in 50 minutes. In how much time (in minutes) both pipes together can fill the same tank?
A.	15.25
B.	22.5
C.	18.75
D.	20
Answer» D. 20

Discussion

865.	1/3 part of a work can be completed in 8 days by 30 men. How many more men will be required to finish the rest in the next 10 days?A. 10B. 18C. 12D. 9
A.	A
B.	B
C.	C
D.	D
Answer» C. C

Discussion

866.	A earns Rs. 180 per hour and works for 7 hours per day. B earns Rs. 160 per hour and works for 5 hours per day. What is the ratio of the wages of A and B?
A.	33 : 20
B.	20 : 30
C.	40 : 61
D.	63 : 40
Answer» E.

Discussion

867.	In a water tank there are two outlets. It takes 20 minutes to empty the tank if both the outlets are opened. If the first outlet is opened, the tank is emptied in 30 minutes. What is the time taken to empty the tank by second outlet?
A.	30 minutes
B.	40 minutes
C.	50 minutes
D.	60 minutes
Answer» E.

Discussion

868.	If 72 workers can do a piece of work in 36 days, then in how many days will 54 workers complete the same work?
A.	42
B.	48
C.	46
D.	44
Answer» C. 46

Discussion

869.	A can complete a piece of work in 20 days and B can complete 20% of the work in 6 days. If they work together in how many days can they finish 50% of the work, if they work together?
A.	6
B.	12
C.	8
D.	9
Answer» B. 12

Discussion

870.	A can finish a work in 33 days and B can finish the same work in one-third of the time taken by A. By working together, how much of the same work can both of them finish in six days?
A.	8/11
B.	9/11
C.	6/11
D.	7/11
Answer» B. 9/11

Discussion

871.	A and B together can do a piece of work in 10 days and A alone can do it in 30 days. B alone can do the work in how many days?
A.	15
B.	12
C.	18
D.	24
Answer» B. 12

Discussion

872.	A alone can do a piece of work in 6 days and B alone is 8 days, A and B undertook to do it for Rs. 3200. With the help of C they completed the work in 3 days. How much is to be paid to C?
A.	Rs. 400
B.	Rs. 600
C.	Rs. 375
D.	Rs. 800
Answer» B. Rs. 600

Discussion

873.	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?
A.	25 hours
B.	40 hours
C.	30 hours
D.	32 hours
Answer» C. 30 hours

Discussion

874.	1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers left the fort. Thus, food lasted for 32 more days, how many soldiers left?
A.	280
B.	300
C.	320
D.	290
Answer» C. 320

Discussion

875.	Anand and Ravi can complete a piece of work in 12 days. Ravi and Chinmay can complete the same work in 16 days while Chinmay and Anand can complete the same work in 48 days. In how many days can Ravi alone complete the work?
A.	18 days
B.	46 days
C.	10 days
D.	16 days
Answer» E.

Discussion

876.	A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if the is assisted by B and C on every third day?
A.	12 days
B.	15 days
C.	16 days
D.	18 days
Answer» C. 16 days

Discussion

877.	It took 64 people 77 days to construct a house. What fraction of the work can be completed by 44 people in 96 days?
A.	\(\frac{3}{4}\)
B.	\(\frac{4}{5}\)
C.	\(\frac{6}{7}\)
D.	\(\frac{2}{3}\)
Answer» D. \(\frac{2}{3}\)

Discussion

878.	2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?
A.	12 days
B.	24 days
C.	14 days
D.	12 ½ days
Answer» E.

Discussion

879.	A alone can complete a task in 3 days, B alone can complete the same task in 7 days. If A and B work together for 2 days, what fraction of the task will be left?
A.	\(\frac{2}{{21}}\)
B.	\(\frac{1}{7}\)
C.	\(\frac{4}{{21}}\)
D.	\(\frac{1}{{21}}\)
Answer» E.

Discussion

880.	A is 30% more efficient than B and B can finish a certain job in 13 days. How many days will A alone take to complete the same job?
A.	7
B.	9
C.	10
D.	11
Answer» D. 11

Discussion

881.	A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week?
A.	\(10\frac{5}{{24}}\) days
B.	\(4\frac{4}{5}\) days
C.	\(6\frac{8}{{15}}\) days
D.	\(12\frac{6}{{19}}\) days
Answer» B. \(4\frac{4}{5}\) days

Discussion

882.	8 pipes are required to fill a tank in 2 hours. How long will it take if 5 pipes are used?
A.	3 hours 12 minutes
B.	3 hours 48 minutes
C.	3 hours 4 minutes
D.	3 hours 36 minutes
Answer» B. 3 hours 48 minutes

Discussion

883.	A earns Rs. 640 per day and works for 8 hours. B earns 360 per day and works for 6 hours. The ratio of per day wages of A to that of B is:
A.	5 : 4
B.	16 : 9
C.	4 : 5
D.	9 : 16
Answer» C. 4 : 5

Discussion

884.	15 persons have taken a job of digging a pond in 20 days. 5 persons have left after 10 days. Again after 5 days 5 more have left. How many days would be required to complete the job?
A.	55
B.	25
C.	35
D.	45
Answer» D. 45

Discussion

885.	If 8 men can do a piece of work in 14 days, then in how much time (in days) will 7 men do the same piece of work?
A.	16
B.	15
C.	17
D.	18
Answer» B. 15

Discussion

886.	Pipes X and Y can fill a tank in 30 minutes and 45 minutes, respectively, whereas pipe Z can empty the full tank in 1 hour. Pipes X and Y are opened together for 10 minutes. Then, pipe X is closed, Z is opened instantly and Y continued to fill. The total time (from the beginning) taken to fill the tank is:
A.	80 minutes
B.	100 minutes
C.	75 minutes
D.	90 minutes
Answer» E.

Discussion

887.	A and B together can do a piece of work in 4 days and A alone can do it in 6 days. B alone can do the same work in:
A.	\(13 \frac{1}{3} \) days
B.	12 days
C.	16 days
D.	11 days
Answer» C. 16 days

Discussion

888.	A and B can do a work in 15 days and 10 days respectively. They begin the work together but B leaves after two days. Now A completes the remaining work. The total number of days needed for the completion of the work is:
A.	15 days
B.	18 days
C.	12 days
D.	10 days
Answer» D. 10 days

Discussion

889.	12 men can finish a piece of work in 24 days. How many days will 8 men require to do the same piece of work?
A.	36
B.	32
C.	20
D.	16
Answer» B. 32

Discussion

890.	A tank has two inlets and an outlet. The inlets fill up the tank in 6 hours and 8 hours individually and outlet empties it in 10 hours. If the inlets are opened for an hour and closed and then all the three taps are opened together, how much time will it take to fill up remaining tank?
A.	75/23 hours
B.	72/23 hours
C.	85/23 hours
D.	82/23 hours
Answer» D. 82/23 hours

Discussion

891.	By working 8 hours a day, Ram writes a book in 18 days. How many hours should he work per day to complete his work in 12 days?
A.	9 hours
B.	10 hours
C.	12 hours
D.	15 hours
Answer» D. 15 hours

Discussion

892.	In a village Under Mission Kakatiya, 38 men working 6 hours a day can do a piece of work in 12 days. Find the number of days in which 57 men working 8 hours a day can do the same work. Assume that 2 men of the first group do as much work in 1 hour as 3 men of the second group do in \(1\frac{1}{2}\) hours
A.	13.5 days
B.	12 days
C.	16 days
D.	14 days
Answer» B. 12 days

Discussion

893.	A tank can be filled by two taps X and Y in 5 hrs and 10 hrs respectively while another tap Z empties the tank in 20 hrs. In how many hours can the tank be filled, if all 3 taps are kept open?
A.	5
B.	4
C.	7
D.	8
Answer» C. 7

Discussion

894.	A alone can finish a job in 5 days and B alone can finish the same job in 2 days. If they both work together, in how many days will be job be finished?
A.	2
B.	\(2\frac{3}{7}\)
C.	1/2
D.	\(1\frac{3}{7}\)
Answer» E.

Discussion

895.	Raksha can do a work in 27 days while Esther takes 45 days to do it herself. They start working together, but Raksha leaves 9 days before the work is over. How many days does Esther work?
A.	18
B.	27
C.	13.5
D.	22.5
Answer» E.

Discussion

896.	A, B and C contract a work for ₹ 550 together. A and B are supposed to do 7/11 of the work. The amount that C gets is:
A.	₹200
B.	₹210
C.	₹100
D.	₹150
Answer» B. ₹210

Discussion

897.	A can finish a job in 16 days and B in 20 days. If both work together for 4 days and A suddenly leaves, then how many more days does B need to complete the job?
A.	12 days
B.	9 days
C.	11 days
D.	10 days
Answer» D. 10 days

Discussion

898.	A, B and C can complete the work in 4, 5 and 6 hours respectively. If they all work together and receive Rs. 777 as wages, then find the share of A.A. Rs. 300B. Rs. 315C. Rs. 326D. Rs. 175
A.	D
B.	B
C.	A
D.	C
Answer» C. A

Discussion

899.	A, B and C together can finish a job in 3 days. A and B together can finish the same job in 4 days. In how many days, C alone will finish the same job?
A.	12
B.	16
C.	20
D.	24
Answer» B. 16

Discussion

900.	P and Q can do a work in 10 days. Q and R can do it in 12 days. All three together can finish in 8 days. In how many days can P and R can complete the work?
A.	10 days
B.	8 days
C.	12 days
D.	15 days
Answer» E.

Discussion

Explore topic-wise MCQs in General Aptitude.

P, Q and R together can complete a work in 40 days. P and Q together can complete the same work in 90 days. Then R alone can complete the same work in how many days?

‘A’ is thrice as good a workman as ‘B’ and takes 10 days less to do a piece of work than ‘B’ takes. The number of days taken by ‘B’ alone to finish the work is

Pipe C and D alone can fill a tank in 4 and 5 hours, respectively. If pipe C is closed after 3 hours and at the same time pipe D is opened, in how many hours will the tank get filled?

A water tap fills a tub in ‘p’ hours and a sink at the bottom empties it in ‘q’ hours. If p < q and both tap and sink are open, the tank is filled in ‘r’ hours:

If 3 men or 4 women can reap a field in 43 days then the number of days in which the field can be reaped by 7 men and 5 women is -

A works thrice as fast as B. if B can complete a work in 16 days independently, the number of days in which A and B can together finish the work is?

A pipe can fill a cistern in 20 minutes where as the cistern when full can be emptied by a leak in 28 minutes. When both are opened, The time taken to fill the cistern is:

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, of same efficiency working 6 hours a day, complete the work ?

A can do a work alone in 11 days while B takes 16.5 days to do it alone. It takes 5.5 days for them to complete the work together with C. If C and D can work together in 22 days, then how many days will D need to complete the work alone?

P can build a wall in 36 days, Q can build the same wall in 24 days. while R can build in 48 days. If they work together in how many days they will build wall?

A can do a piece of work in 8 days. B and C together can do it in 6 days, while A and C together can do it in 4 days. How many days will B take to do the work alone?

A can complete a work in 10 days. B can complete the same work in 15 days. If B starts the work and A joins him after 5 days, then in how many days will the total work be completed?

Pipe A can fill a tank in 30 minutes. Pipe B can fill the same tank in 50 minutes. In how much time (in minutes) both pipes together can fill the same tank?

1/3 part of a work can be completed in 8 days by 30 men. How many more men will be required to finish the rest in the next 10 days?A. 10B. 18C. 12D. 9

A earns Rs. 180 per hour and works for 7 hours per day. B earns Rs. 160 per hour and works for 5 hours per day. What is the ratio of the wages of A and B?

In a water tank there are two outlets. It takes 20 minutes to empty the tank if both the outlets are opened. If the first outlet is opened, the tank is emptied in 30 minutes. What is the time taken to empty the tank by second outlet?

If 72 workers can do a piece of work in 36 days, then in how many days will 54 workers complete the same work?

A can complete a piece of work in 20 days and B can complete 20% of the work in 6 days. If they work together in how many days can they finish 50% of the work, if they work together?

A can finish a work in 33 days and B can finish the same work in one-third of the time taken by A. By working together, how much of the same work can both of them finish in six days?

A and B together can do a piece of work in 10 days and A alone can do it in 30 days. B alone can do the work in how many days?

A alone can do a piece of work in 6 days and B alone is 8 days, A and B undertook to do it for Rs. 3200. With the help of C they completed the work in 3 days. How much is to be paid to C?

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?

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers left the fort. Thus, food lasted for 32 more days, how many soldiers left?

Anand and Ravi can complete a piece of work in 12 days. Ravi and Chinmay can complete the same work in 16 days while Chinmay and Anand can complete the same work in 48 days. In how many days can Ravi alone complete the work?

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if the is assisted by B and C on every third day?

It took 64 people 77 days to construct a house. What fraction of the work can be completed by 44 people in 96 days?

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?

A alone can complete a task in 3 days, B alone can complete the same task in 7 days. If A and B work together for 2 days, what fraction of the task will be left?

A is 30% more efficient than B and B can finish a certain job in 13 days. How many days will A alone take to complete the same job?

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week?

8 pipes are required to fill a tank in 2 hours. How long will it take if 5 pipes are used?

A earns Rs. 640 per day and works for 8 hours. B earns 360 per day and works for 6 hours. The ratio of per day wages of A to that of B is:

15 persons have taken a job of digging a pond in 20 days. 5 persons have left after 10 days. Again after 5 days 5 more have left. How many days would be required to complete the job?

If 8 men can do a piece of work in 14 days, then in how much time (in days) will 7 men do the same piece of work?

A and B together can do a piece of work in 4 days and A alone can do it in 6 days. B alone can do the same work in:

A and B can do a work in 15 days and 10 days respectively. They begin the work together but B leaves after two days. Now A completes the remaining work. The total number of days needed for the completion of the work is:

12 men can finish a piece of work in 24 days. How many days will 8 men require to do the same piece of work?

A tank has two inlets and an outlet. The inlets fill up the tank in 6 hours and 8 hours individually and outlet empties it in 10 hours. If the inlets are opened for an hour and closed and then all the three taps are opened together, how much time will it take to fill up remaining tank?

By working 8 hours a day, Ram writes a book in 18 days. How many hours should he work per day to complete his work in 12 days?

A tank can be filled by two taps X and Y in 5 hrs and 10 hrs respectively while another tap Z empties the tank in 20 hrs. In how many hours can the tank be filled, if all 3 taps are kept open?

A alone can finish a job in 5 days and B alone can finish the same job in 2 days. If they both work together, in how many days will be job be finished?

Raksha can do a work in 27 days while Esther takes 45 days to do it herself. They start working together, but Raksha leaves 9 days before the work is over. How many days does Esther work?

A, B and C contract a work for ₹ 550 together. A and B are supposed to do 7/11 of the work. The amount that C gets is:

A can finish a job in 16 days and B in 20 days. If both work together for 4 days and A suddenly leaves, then how many more days does B need to complete the job?

A, B and C can complete the work in 4, 5 and 6 hours respectively. If they all work together and receive Rs. 777 as wages, then find the share of A.A. Rs. 300B. Rs. 315C. Rs. 326D. Rs. 175

A, B and C together can finish a job in 3 days. A and B together can finish the same job in 4 days. In how many days, C alone will finish the same job?

P and Q can do a work in 10 days. Q and R can do it in 12 days. All three together can finish in 8 days. In how many days can P and R can complete the work?