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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