1728 + Mcqs in Time and Work Page 23 McqOptions

1101.	A tap can fill the tank in 25 minutes and the other can empty the tank in 50 minutes. If both the tap are opened simultaneously, then the tank will be filled in time?
A.	1 hour, 10 minutes
B.	50 minutes
C.	1 hour, 5 minutes
D.	55 minutes
Answer» C. 1 hour, 5 minutes

Discussion

1102.	P, Q and R are channels which discharge solutions A, B, C respectively in a tank. When the tank is empty and all the three channels are opened what is the proportion of the solution C in the tank after 3 minutes, if the channels P, Q and R can fill the tank from empty to full in 30 minutes and 20 minutes and 10 minutes respectively when they are opened one at a time.
A.	6
B.	5/11
C.	5
D.	6/11
Answer» E.

Discussion

1103.	A and B together can complete a work in 10 days. B working alone can complete the work in 15 days. How long will it take for A alone to complete the work?
A.	25 days
B.	15 days
C.	20 days
D.	30 days
Answer» E.

Discussion

1104.	Amrit is twice as good a painter as Kushal and together they finish a piece of work in 6 days. In how many days will Kushal alone finish the work?
A.	10
B.	12
C.	24
D.	18
Answer» E.

Discussion

1105.	A pipe can fill a sump with water in 2 hours. Because of a leak, it took \(2\frac{2}{3}\) hours to fill the sump. The leak can drain all the water of the sump in:
A.	6 hours
B.	11 hours
C.	8 hours
D.	15 hours
Answer» D. 15 hours

Discussion

1106.	Ram and Ravi can do a piece of work in 10 and 15 days, respectively. In how many days will the work be completed, if both of them work together?
A.	5 days
B.	10 days
C.	16 days
D.	6 days
Answer» E.

Discussion

1107.	It takes 12.5 minutes to completely fill a vessel with juice. However, kids are continuously drinking juice from the vessel at a rate which can empty the vessel in 25 minutes. At the current rate, how long will it take to completely fill the vessel?
A.	20 minutes
B.	12.5 minutes
C.	25 minutes
D.	30 minutes
Answer» D. 30 minutes

Discussion

1108.	Pipes A and B can fill a tank in 20 hours and 30 hours respectively, whereas pipe C alone can empty the full tank in 10 hours. Pipes A and B are opened together for \(3\frac{1}{2}\) hours and then closed. If pipe C is opened, It will empty the tank in:
A.	2 hours 15 minutes
B.	2 hours
C.	2 hours 55 minutes
D.	2 hours 45 minutes
Answer» D. 2 hours 45 minutes

Discussion

1109.	If C alone can complete two-third part of a work in 12 days, then in how many days C can complete the whole work?
A.	24 days
B.	15 days
C.	8 days
D.	18 days
Answer» E.

Discussion

1110.	A black pipe can empty a tank in 8 hours, while a red pipe can fill it in 3 hours. If the tank is initially half-filled and the red pipe is opened in it, how many black pipes are required in total to be opened in it to empty the tank in 12 hours?
A.	2
B.	3
C.	4
D.	5
E.	6
Answer» C. 4

Discussion

1111.	If 20 men can build a bridge in 24 days, then 32 men can build two such bridges in how many days?
A.	30 days
B.	24 days
C.	20 days
D.	15 days
Answer» B. 24 days

Discussion

1112.	A tank can be filled by pipe X in 2 hours and pipe Y in 6 hours. At 10 a.m. pipe X was opened. At what time will the tank be filled if pipe Y is opened at 11 a.m.?
A.	12:45 am
B.	5:00 pm
C.	11:45 am
D.	11:50 am
Answer» D. 11:50 am

Discussion

1113.	A and B work together and complete a given work in x days. If A alone completes this work in x + 2 days and B alone completes this work in x + 8 days, then the value of x is
A.	3
B.	4
C.	5
D.	2
Answer» C. 5

Discussion

1114.	A and B can together complete a task in 40 days. They worked together for 30 days and then B left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?
A.	48 days
B.	88 days
C.	30 days
D.	40 days
Answer» C. 30 days

Discussion

1115.	A and B can complete a work in 20 days and 30 days respectively. A works full time but B works half time. In how many days the entire work is to be completed?
A.	9 days
B.	15 days
C.	12 days
D.	10 days
Answer» C. 12 days

Discussion

1116.	‘A’ alone completes \({\frac{4}{5}^{th}}\) part of a work in 20 days. The remaining work then completed by A and B working together in 3 days. How long would ‘B’ alone take to do two times the original work?
A.	\(37\frac{1}{2}\;days\)
B.	40 days
C.	75 days
D.	80 days
Answer» D. 80 days

Discussion

1117.	Pramod can paint a wall red in 12 hours while Brajen can paint the wall red completely in 16 hours. If Pramod and Brajen work alternately for an hour each stalling when the wall has just cement on it till when it is completely painted red, how many hours will it take to paint the entire wall red?
A.	12 hours 30 minutes
B.	13 hours 40 minutes
C.	14 hours
D.	13 hours
Answer» C. 14 hours

Discussion

1118.	A and B can complete a job in 15 days and 20 days respectively. If they work together, in how many days will complete 70% of that job?
A.	7
B.	6
C.	4
D.	5
Answer» C. 4

Discussion

1119.	P, Q and R together can complete a work in 36 days. If the ratio of efficiency of P, Q and R is 3 : 2 : 1 respectively, then in how many days R alone can complete the same work?
A.	108
B.	216
C.	72
D.	144
Answer» C. 72

Discussion

1120.	How many men will be required to plough 50 acres of land in 10 days if 15 men required 6 days to plough 10 acres of land ?
A.	45
B.	40
C.	55
D.	50
Answer» B. 40

Discussion

1121.	Pipe X can fill a tank in 12 hours and pipe Y can fill the same tank in 36 hours. In how many hours both pipe X and pipe Y together can fill one-third part of the tank?
A.	9 hours
B.	3 hours
C.	15 hours
D.	27 hours
Answer» C. 15 hours

Discussion

1122.	A and B can complete a task in 70 days, B and C can complete it in 52.5 days while C and A can do the same task together in 42 days. How many days will each of A, B and C take to complete the task individually?
A.	105, 210 and 70
B.	56, 84 and 168
C.	70, 210 and 105
D.	84, 168 and 56
Answer» B. 56, 84 and 168

Discussion

1123.	12 men or 24 boys can do a work in 20 days. In how many days, will 24 men and 12 boys together complete the same work?
A.	10
B.	12
C.	15
D.	8
Answer» E.

Discussion

1124.	P and Q together can complete some work in 30 days. Q and R together can do the same work in 24 days. R and P together will take 20 days to complete it. If they all work together, in how many days will the job get done?
A.	25
B.	8
C.	15
D.	16
Answer» E.

Discussion

1125.	4 skilled workers can dig a pond in 8 days, whereas it takes 8 unskilled workers 12 days to dig it. How many days will it take 3 skilled and 15 unskilled workers to dig such a pond?
A.	4
B.	3
C.	2
D.	5
Answer» B. 3

Discussion

1126.	A can do a piece of work in 15 days which B alone can do in 10 days. A started the work and B joined him after 5 days. Find the number of days taken to complete the work.
A.	4 days
B.	9 days
C.	10 days
D.	15 days
Answer» C. 10 days

Discussion

1127.	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?
A.	54
B.	45
C.	21
D.	27
Answer» E.

Discussion

1128.	A can do a work in 12 days and B does the same work in 15 days. In how many days they together will do the same work?
A.	6 days
B.	\(6\frac{1}{3}\) days
C.	\(6\frac{2}{3}\) days
D.	\(6\frac{1}{2}\) days
Answer» D. \(6\frac{1}{2}\) days

Discussion

1129.	K and L can do a work in 15 and 20 days respectively. They work together for 5 days and leave. Calculate the unfinished portion of the work.
A.	7/12
B.	5/12
C.	1/13
D.	1/4
Answer» C. 1/13

Discussion

1130.	If A, B and C can do a task working alone in 12, 18 and 36 days respectively. They all work together for 2 days, then B quits. How many days A and C working together will take to complete the remainder of the task?
A.	6
B.	3
C.	4
D.	9
Answer» B. 3

Discussion

1131.	A, B and C, working alone can do a piece of work in 12, 24 and 36 days respectively. They work together and get Rs. 3850 for completing the work. What is the difference in shares of B and C?
A.	Rs. 1050
B.	Rs. 350
C.	Rs. 700
D.	Rs. 1400
Answer» C. Rs. 700

Discussion

1132.	A can do a piece of work in 20 days. He worked for 4 days and B finished the remaining work in 28 days. B alone can do the whole work in how many days?
A.	28
B.	32
C.	35
D.	42
Answer» D. 42

Discussion

1133.	‘A’ and ‘B’ can do a certain work in 20 days, ‘B’ and ‘C’ in 15 days and ‘C’ and ‘A’ in 12 days. If they work together, then in how many days will the work be completed?
A.	8
B.	5
C.	10
D.	6
Answer» D. 6

Discussion

1134.	A can complete a task in 8 days while B can complete it in 12 days. In how many days can C complete the task if all 3 of them together can complete it in 3 days?
A.	8
B.	10
C.	12
D.	14
Answer» B. 10

Discussion

1135.	45 men take 25 days to dig a pond. If the pond would have to be dug in 15 days, then what is the number of men to be employed?
A.	81
B.	75
C.	67
D.	84
Answer» C. 67

Discussion

1136.	Pipe A can fill an empty cistern in 6.8 hours. Pipe B can fill it up in 10.2 hours. Only Pipe B is turned on for 1.7 hours after which Pipe A is also tuned on. How much time will it take in all to fill up the cistern?
A.	5 hours 6 minutes
B.	5 hours 12 minutes
C.	5 hours 5 minutes
D.	5 hours 10 minutes
Answer» B. 5 hours 12 minutes

Discussion

1137.	A, B and C can do a work in 12, 15 and 20 days respectively. In how many days, working together they can complete the same work?
A.	6 days
B.	7.5 days
C.	4 days
D.	5 days
Answer» E.

Discussion

1138.	P and Q can complete a job in 12 days and 16 days respectively. They work together for 4 days. What portion of work is left for completion?
A.	3/4
B.	6/7
C.	5/12
D.	7/12
Answer» D. 7/12

Discussion

1139.	A earns Rs. 80 per hour and works for 8 hours a day. B, earns Rs. 60 per hour and works for 6 hours a day. What is the ratio of per day wages of A and B?
A.	16 : 5
B.	9 : 10
C.	16 : 9
D.	5 : 16
Answer» D. 5 : 16

Discussion

1140.	A pipe can fill a tank in 10 hours. Due to the leak in its bottom, the tank is filled in 12 hours. If the tank is full, then that leak can empty the tank in how many hours?
A.	30
B.	45
C.	60
D.	42
Answer» D. 42

Discussion

1141.	A and B can complete a task in 10 days, B and C can complete it in 15 days while C and A can do the same task together in 12 days. How many days will they together take to complete the task?
A.	5
B.	8
C.	6
D.	4
Answer» C. 6

Discussion

1142.	A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump A or pump B or both start working until the tank is full. On Monday, A alone completed filling the tank at 8 pm. On Tuesday, B alone completed filling the tank at 6 pm. On Wednesday, A alone worked till 5 pm, and then B worked alone from 5 pm to 7 pm, to fill the tank. At what time was the tank filled on Thursday if both pumps were used simultaneously all along?
A.	4 : 36 pm
B.	4 : 24 pm
C.	4 : 12 pm
D.	4 : 48 pm
Answer» C. 4 : 12 pm

Discussion

1143.	15 experts can do as much work as 25 trainees in a given period of time. A piece of work is to be done by 8 experts and 15 trainees. How many trainees alongside 11 experts would one need to complete a similar work in the same duration of time?
A.	10
B.	9
C.	11
D.	12
Answer» B. 9

Discussion

1144.	A can do a work in 12 days and B can do the same work in 16 days. If they work on it together for 4 days. Then the fraction of the work that is left is:
A.	7/8
B.	9/16
C.	3/5
D.	5/12
Answer» E.

Discussion

1145.	If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?
A.	15
B.	12
C.	10
D.	16
Answer» E.

Discussion

1146.	If 7 men can do a piece of work in 16 days. The number of days in which 4 men do it are?
A.	25
B.	23
C.	24
D.	28
Answer» E.

Discussion

1147.	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.	\(12\frac{1}{2}days\)
B.	\(15\frac{2}{3}days\)
C.	10 days
D.	\(8\frac{4}{5}\;days\;\)
Answer» E.

Discussion

1148.	If 25 men can do a work in 24 days, how many men will finish it in 20 days?
A.	28
B.	30
C.	35
D.	None of the above
Answer» C. 35

Discussion

1149.	14 men can complete a work in 22 days. How many days will 11 men take to complete 1 (¼) times the present work?
A.	35
B.	28
C.	17.5
D.	21
Answer» B. 28

Discussion

1150.	Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun’s share in this amount (in Rs.).
A.	490
B.	420
C.	560
D.	350
Answer» C. 560

Discussion

Explore topic-wise MCQs in General Aptitude.

A tap can fill the tank in 25 minutes and the other can empty the tank in 50 minutes. If both the tap are opened simultaneously, then the tank will be filled in time?

A and B together can complete a work in 10 days. B working alone can complete the work in 15 days. How long will it take for A alone to complete the work?

Amrit is twice as good a painter as Kushal and together they finish a piece of work in 6 days. In how many days will Kushal alone finish the work?

A pipe can fill a sump with water in 2 hours. Because of a leak, it took \(2\frac{2}{3}\) hours to fill the sump. The leak can drain all the water of the sump in:

Ram and Ravi can do a piece of work in 10 and 15 days, respectively. In how many days will the work be completed, if both of them work together?

It takes 12.5 minutes to completely fill a vessel with juice. However, kids are continuously drinking juice from the vessel at a rate which can empty the vessel in 25 minutes. At the current rate, how long will it take to completely fill the vessel?

Pipes A and B can fill a tank in 20 hours and 30 hours respectively, whereas pipe C alone can empty the full tank in 10 hours. Pipes A and B are opened together for \(3\frac{1}{2}\) hours and then closed. If pipe C is opened, It will empty the tank in:

If C alone can complete two-third part of a work in 12 days, then in how many days C can complete the whole work?

A black pipe can empty a tank in 8 hours, while a red pipe can fill it in 3 hours. If the tank is initially half-filled and the red pipe is opened in it, how many black pipes are required in total to be opened in it to empty the tank in 12 hours?

If 20 men can build a bridge in 24 days, then 32 men can build two such bridges in how many days?

A tank can be filled by pipe X in 2 hours and pipe Y in 6 hours. At 10 a.m. pipe X was opened. At what time will the tank be filled if pipe Y is opened at 11 a.m.?

A and B work together and complete a given work in x days. If A alone completes this work in x + 2 days and B alone completes this work in x + 8 days, then the value of x is

A and B can together complete a task in 40 days. They worked together for 30 days and then B left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?

A and B can complete a work in 20 days and 30 days respectively. A works full time but B works half time. In how many days the entire work is to be completed?

‘A’ alone completes \({\frac{4}{5}^{th}}\) part of a work in 20 days. The remaining work then completed by A and B working together in 3 days. How long would ‘B’ alone take to do two times the original work?

Pramod can paint a wall red in 12 hours while Brajen can paint the wall red completely in 16 hours. If Pramod and Brajen work alternately for an hour each stalling when the wall has just cement on it till when it is completely painted red, how many hours will it take to paint the entire wall red?

A and B can complete a job in 15 days and 20 days respectively. If they work together, in how many days will complete 70% of that job?

P, Q and R together can complete a work in 36 days. If the ratio of efficiency of P, Q and R is 3 : 2 : 1 respectively, then in how many days R alone can complete the same work?

How many men will be required to plough 50 acres of land in 10 days if 15 men required 6 days to plough 10 acres of land ?

Pipe X can fill a tank in 12 hours and pipe Y can fill the same tank in 36 hours. In how many hours both pipe X and pipe Y together can fill one-third part of the tank?

A and B can complete a task in 70 days, B and C can complete it in 52.5 days while C and A can do the same task together in 42 days. How many days will each of A, B and C take to complete the task individually?

12 men or 24 boys can do a work in 20 days. In how many days, will 24 men and 12 boys together complete the same work?

P and Q together can complete some work in 30 days. Q and R together can do the same work in 24 days. R and P together will take 20 days to complete it. If they all work together, in how many days will the job get done?

4 skilled workers can dig a pond in 8 days, whereas it takes 8 unskilled workers 12 days to dig it. How many days will it take 3 skilled and 15 unskilled workers to dig such a pond?

A can do a piece of work in 15 days which B alone can do in 10 days. A started the work and B joined him after 5 days. Find the number of days taken to complete the work.

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?

A can do a work in 12 days and B does the same work in 15 days. In how many days they together will do the same work?

K and L can do a work in 15 and 20 days respectively. They work together for 5 days and leave. Calculate the unfinished portion of the work.

If A, B and C can do a task working alone in 12, 18 and 36 days respectively. They all work together for 2 days, then B quits. How many days A and C working together will take to complete the remainder of the task?

A, B and C, working alone can do a piece of work in 12, 24 and 36 days respectively. They work together and get Rs. 3850 for completing the work. What is the difference in shares of B and C?

A can do a piece of work in 20 days. He worked for 4 days and B finished the remaining work in 28 days. B alone can do the whole work in how many days?

‘A’ and ‘B’ can do a certain work in 20 days, ‘B’ and ‘C’ in 15 days and ‘C’ and ‘A’ in 12 days. If they work together, then in how many days will the work be completed?

A can complete a task in 8 days while B can complete it in 12 days. In how many days can C complete the task if all 3 of them together can complete it in 3 days?

45 men take 25 days to dig a pond. If the pond would have to be dug in 15 days, then what is the number of men to be employed?

Pipe A can fill an empty cistern in 6.8 hours. Pipe B can fill it up in 10.2 hours. Only Pipe B is turned on for 1.7 hours after which Pipe A is also tuned on. How much time will it take in all to fill up the cistern?

A, B and C can do a work in 12, 15 and 20 days respectively. In how many days, working together they can complete the same work?

P and Q can complete a job in 12 days and 16 days respectively. They work together for 4 days. What portion of work is left for completion?

A earns Rs. 80 per hour and works for 8 hours a day. B, earns Rs. 60 per hour and works for 6 hours a day. What is the ratio of per day wages of A and B?

A pipe can fill a tank in 10 hours. Due to the leak in its bottom, the tank is filled in 12 hours. If the tank is full, then that leak can empty the tank in how many hours?

A and B can complete a task in 10 days, B and C can complete it in 15 days while C and A can do the same task together in 12 days. How many days will they together take to complete the task?

15 experts can do as much work as 25 trainees in a given period of time. A piece of work is to be done by 8 experts and 15 trainees. How many trainees alongside 11 experts would one need to complete a similar work in the same duration of time?

A can do a work in 12 days and B can do the same work in 16 days. If they work on it together for 4 days. Then the fraction of the work that is left is:

If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?

If 7 men can do a piece of work in 16 days. The number of days in which 4 men do it are?

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:

If 25 men can do a work in 24 days, how many men will finish it in 20 days?

14 men can complete a work in 22 days. How many days will 11 men take to complete 1 (¼) times the present work?

Arjun and Anurag complete a job in 6 days and 7 days respectively. They worked together and earned a total of Rs. 780. Find Arjun’s share in this amount (in Rs.).