Showing posts with label time and work questions. Show all posts
Showing posts with label time and work questions. Show all posts

Tuesday, 21 February 2017

















Q1. A man, a woman and a boy can complete a job in 3, 4 and 12 days. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
(a) 1
(b) 4
(c) 19
(d) 41
(e) none of these

Q2. A and B can do a piece of work in 10 days, B and C in 15 days and C and A in 20 days, C alone can do the work in:
(a) 60 days
(b) 120 days
(c) 80 days
(d) 30 days
(e) none of these

Q3. A man, a woman and a boy can complete a piece of work in 20 days, 30 days and 60 days respectively. How many must assist 2 men and 8 women so as to complete the work in 2 days?
(a) 8
(b) 12
(c) 4
(d) 6
(e) none of these

Q4. A skilled, a half skilled and an unskilled labourer work for 7, 8 and 10 days respectively and they together get Rs. 369 for their work. If the ratio of their each day’s work is 1/3 ∶1/4 ∶1/6, then how much does the trained labourer get (in rupees)?
(a) 164
(b) 102.50
(c) 201.50
(d) 143.50
(e) none of these

Q5. Stanic and Paul take a piece of work for Rs. 28,800. One alone could do it in 36 days, the other in 48 days. With the assistance of an expert, they finish it in 12 days. How much remuneration the expert should get?
(a) Rs. 10000
(b) Rs. 18000
(c) Rs. 16000
(d) Rs. 12000
(e) none of these

Q6. In two days A, B and C together can finish 1/2 of a work and in another 2 days B and C together can finish 3/10 part of the work. Then A alone can complete the whole work in.
(a) 15 days
(b) 10 days
(c) 12 days
(d) 14 days
(e) none of these

Q7. 2 men and 1 women together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs. 600 per day. How much should a woman get per day?
(a) Rs. 400
(b) Rs. 450
(c) Rs. 480
(d) Rs. 360
(e) none of these

Q8. Two workers A and B working together completed a job in 5 days. If A had worked twice as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone, A would require
(a) 5 1/5 days
(b) 6 1/4 days
(c) 7 1/2 days
(d) 8 3/4 days
(e) none of these

Q9. 5 persons can prepare an admission list in 8 days working 7 hours a day. If 2 persons join them so as to complete the work in 4 days, how many hours they need to work:
(a) 10 hours
(b) 9 hours
(c) 12 hours
(d) 8 hours
(e) none of these

Q10. A contractor undertook to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged now so that the work may finish in time?
(a) 48
(b) 56
(c) 40
(d) 50
(e) none of these

Q11. A, B and C can complete a piece of work in 10, 12 and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left. Number of days required to complete the whole work was:
(a) 8 (2/3) days
(b) 6 days
(c) 6 (2/3) days
(d) 7 days
(e) none of these

Q12. 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 he is assisted by B and C on every third day?
(a) 10 days
(b) 12 days
(c) 15 days
(d) 20 days
(e) none of these

Q13. A takes 10 days less than the time taken by B to finish a piece of work. If both A and B can do it in 12 days, then the time taken by B alone to finish the work is
(a) 30 days
(b) 27 days
(c) 20 days
(d) 25 days
(e) none of these

Q14. A can do as much work as B and C together can do. A and B can together can do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is:
(a) 18 hrs
(b) 24 hrs
(c) 30 hrs
(d) 12 hrs
(e) none of these

Q15. Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work that when work together. If B worked alone, would take 4 (1/2) hours more than when work together. The time required to finish the work together is
(a) 5 hours
(b) 8 hours
(c) 4 hours
(d) 6 hours
(e) none of these

Solutions















Monday, 13 February 2017



















Q1. ‘A’ can do a piece of work in 25 days and B in 20 days. They work together for 5 days and then ‘A’ goes away. In how many days will ‘B’ finish the remaining work?  
(a) 17 days 
(b) 11 days 
(c) 10 days 
(d) 12 days
(e) None of these

Q2. If Ayan can do one-fourth of a work in 3 days and Sumit can do one-sixth of the same work in 4 days, how much will Ayan get if both work together and are paid Rs. 180 in all?  
(a) Rs. 120
(b) Rs. 108
(c) Rs. 60
(d) Rs. 36
(e) None of these

Q3. A and B weave a carpet in 10 days and 15 days, respectively. They begin to work together but B leaves after 2 days. In what time will A complete the remaining work? 
(a) 6 (1/3) days 
(b) 6 (2/3) days 
(c) 7 days 
(d) 8 days 
(e) None of these

Q4. Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work?  
(a) 15
(b) 8
(c) 9
(d) 12
(e) None of these

Q5. The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only men are available, how many of them will be required?  
(a) 20 men 
(b) 18 men 
(c) 48 men 
(d) 28 men 
(e) None of these

Q6. A man can finish a work in 6 days, a woman in 10 days and a child in 12 days. The man starts the work and works for one-third of a day, then the woman works for one-third of a day and the child works for remaining one-third of a day. The cycle is repeated till work finishes. Who was working when the work finished?  
(a) Man 
(b) Women 
(c) Child 
(d) Cannot be Determined 
(e) None of these

Q7. If a man and a half can build a wall and a half in a day and a half, then how many walls do six men build in six days?  
(a) 3
(b) 6
(c) 12
(d) 10 
(e) 24

Q8. A boy read three-eighths of the book on one day and four-fifths of the remainder on another day. If there were 30 pages unread, then how many pages did the book contain?  
(a) 600
(b) 300
(c) 240
(d) 180
(e) None of these

Q9. Twenty men were employed to do same work in a certain time. But when one-third of the scheduled time was over, it was found that only one-quarter of the total work was completed. How many more men should now be employed to complete the work in three-fourths of the originally scheduled time?  
(a) 20
(b) 40
(c) 48
(d) 28
(e) None of these

Q10. Three workers, working all days, can do a work in 10 days, but one of them having other employment can work only half time. In how many days the work can be finished?  
(a) 15 days 
(b) 16 days 
(c) 12 days 
(d) 12.5 days 
(e) None of these

Q11. Mohan can complete a work in 25 days. He worked for 5 days and left the work; and then Bhim completed the remaining work in 30 days. Had Bhim starts the work and left it after 15 days, how much more time would Mohan have taken to complete the remaining work?  
(a) 7.5 days 
(b) 11.5 days 
(c) 12 days 
(d) 15 days 
(e) None of these

Directions (12-13): Answer the questions based on the following information. 
Rakesh, Shiv and Vijay working alone can complete fencing a wall in 12, 18 and 27 hrs respectively. All of them started fencing the wall together as a team and after 2 hrs, Rakesh left the team. Shiv and Vijay continued to fence until Vijay fell ill and hence he had to leave the team. Then, Shiv finished fencing the wall in the last 5 hrs. 

Q12. How many hrs did it take for the team to finish fencing the wall? 
(a) 11 hrs 
(b) 13 hrs 
(c) 15.66 hrs 
(d) 12 hrs 
(e) None of these

Q13. Which pair among the following will be able to finish fencing the wall in the least time?  
(a) Rakesh and Shiv 
(b) Shiv and Vijay 
(c) Rakesh and Vijay 
(d) Either (b) or (c)
(e) None of these

Directions (14-15): Answer the questions on the basis of the information given below. 
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/h, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/h, reaches B and comes back to A at the same speed. 

Q14. At what time do Ram and Shyam first meet each other?  
(a) 10.00 a.m.
(b) 10.10 a.m. 
(c) 10.20 a.m. 
(d) 10.30 a.m. 
(e) None of these

Q15. At what time does Shyam overtake Ram?  
(a) 10.20 a.m.
(b) 10.30 a.m.
(c) 10.40 a.m.
(d) 10.50 a.m. 
(e) None of these

Solutions




















S11. Ans.(d)
Sol. Mohan’s 20 days work = Bhim’s 30 days work
⇒ entire work can be finished by Bhim in 25×30/20= 37.5 days
Bhim left after 15 days
⇒ Work of 22.5 days was remaining
Mohan can complete it in 30/20×22.5 = 15 days

(12-13): 
Let, fencing the entire will be equivalent to 108 units of work.
⇒ Rakesh does 9 units per hour, Shiv does 86 units per hour and Ramu does 4 units per hour.
In 2 hrs (9 + 6 + 4) × 2 = 38 units were done.
Reaming = 70 units
In the last 5 hrs, Shiv has done = 5 × 6 = 30 units
The other 40 units were done by Shiv and Vijay together in


S12. Ans.(a)
Sol. Total number of hrs taken = 2 + 5 + 4 = 11 hrs.

S13. Ans.(a)
Sol. The pair which does the work in least time, will be able to fence the wall quicker than any other pair
⇒ Rakesh and Shiv 











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Friday, 3 February 2017

















Q1. Subhash can copy 50 pages in 10 h, Subhash and Prakash can copy 300 pages in 40 h. how much time can Prakash copy 30 pages? 
(a) 12 h
(b) 9 h
(c) 13 h
(d) 10 h
(e) None of these 

Q2. A takes twice as much as B and thrice as much as C to complete a piece of work. They together complete the work in 1 day. In what time will A alone complete the work?  
(a) 9 days 
(b) 5 days 
(c) 6 days 
(d) 4 days 
(e) None of these 

Q3. x number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is 
(a) 6
(b) 10
(c) 12
(d) 15
(e) None of these 

Q4. 42 women can do a piece of work in 18 days. How many women would be required to do the same work in 21 days? 
(a) 36
(b) 24
(c) 30
(d) 44
(e) None of these 

Q5. 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?  
(a) 3 days 
(b) 5 days 
(c) 2 days 
(d) 4 days 
(e) None of these 

Q6. 8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined, in how many more days will the work be completed?   
(a) 5 days 
(b) 8 days 
(c) 6 days 
(d) 4 days 
(e) 9 days 

Q7. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it? 
(a) 50
(b) 45
(c) 40
(d) 35
(e) None of these 

Q8. Ram earns Rs. 125 in 8 days and Shyam earns Rs. 140 in 10 days, the ratio of their earnings is  
(a) 125 : 110
(b) 112 : 125
(c) 125 : 112
(d) 100 : 112
(e) 111 : 112 

Q9. A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy?  
(a) Rs. 76
(b) Rs. 56
(c) Rs. 44
(d) Rs. 40
(e) Rs. 72 

Q10. A, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, then how much amount will be received by A?  
(a) Rs. 800
(b) Rs. 600 
(c) Rs. 900
(d) Rs. 750
(e) Rs. 725 

Q11. Three taps A, B and C together can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and the tap B alone in 40 min. How long will the tap C alone take to fill it? 
(a) 16 min 
(b) 24 min 
(c) 32 min 
(d) 40 min 
(e) 36 min 

Q12. Two pipes A and B can separately fill a cistern in 60 min and 75 min, respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. in how much time the third pipe alone can empty the cistern?  
(a) 110 min 
(b) 100 min 
(c) 90 min 
(d) 120 min 
(e) None of these 

Q13. One pipe fills a water tank three times faster than another pipe. If the two pipes together can fill the empty tank in 36 min, then how much time will the slower pipe alone take to fill the tank?  
(a) 1 h 21 min 
(b) 1 h 48 min 
(c) 2 h 
(d) 2 h 24 min 
(e) None of these 

Q14. Two pipes A and B can fill a water tank in 20 min and 24 min, respectively and a third pipe C can empty at the rate of 3 gallons per min. If A, B and C opened together fill the tank in 15 min, the capacity (in gallons) of the tank is  
(a) 180
(b) 150
(c) 120
(d) 60
(e) None of these 

Q15. Two pipes P and Q can fill a cistern in 12 min and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill? 

ANSWERS :











Wednesday, 12 October 2016






1) D
2) C
3) D
4) C
5) B







1) Two guys Yash and Raj, working separately can mow a field in 8 and 12 hours respectively. If they work for an hour alternately, Yash beginning at 9 am, when will the mowing be finished?

(a) 9:30 PM
(b) 8:30 PM
(c) 6:00 AM
(d) 6:30 PM

2) X and Y can do a piece of work in 20 days and 30 days. both starts the work together for some time, but Y leaves the job 5 days before the work is completed. Find the time in which work is completed ?

(a) 7 days
(b) 12 days
(c) 14 days
(d) 16 days



3) X, Y and Z together can do a work in 12 days. X alone can do the work in 36 days and Y alone can do the same work in 54 days. Find in what time Z alone can do that work?

(a) 9 days
(b) 18 days
(c) 24 days
(d) 27 days



4) A alone would take 27 hrs more to complete the job than if both A and B would together. If B worked alone, he took 3 hrs more to complete the job than A and B worked together. What time, would they take if both A and B worked together ?

(a) 8 hours
(b) 10 hours
(c) 9 hours
(d) 6 hours

5) A can complete a work in 24 days and B can complete the same work in 18 days. If A after doing 4 days leaves the work find in how many days B will complete the remaining work ?

(a) 11 days
(b) 15 days
(c) 12 days
(d) 10 days












1) A
2) B
3) A
4) B
5) B







1) A and B together can finish a work in 12 days, whereas B and C together can finish the same work in 20 days and A and C together can finish the work in 15 days. Then the ratio of days of A working alone to complete the work to that of B is ?

A. 2:3
B. 1:2
C. 1:3
D. 2:1

2) A professional institute's total expenditure on students for a particular course is partly fixed and partly varies linearly with number of students .The average expense per student is Rs 615 when there are 24 students and Rs 465 when there are 40 students. What is the average expense when there are 60 students ?

A. 350
B. 390
C. 410
D. 370

3) 30 women can do a work in 10 days and 45 children can do the same work in 12 days, then what is the ratio of amount of work done by 15 women in 1 day to work of 30 children in 1 day.

A. 2:5
B. 3:5
C. 1:3
D. 2:3

4) 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in ?

A. 8 days
B. 4 days
C. 6 days
D. 10 days

5) 30 men working 4 hrs a day can do a piece of work in 10 days. Find the no. of days in which 45 men working 8 hrs a day can do twice the work. Its given that 2 men of the first group do as much work in 2 hrs as 4 men of the second group do in 1 hr . 

A. 6(1/3) days
B. 6(2/3) days
C. 5(3/6) days
D. 5(1/3) days












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