Dear Aspirants,

Time and Work Questions for IBPS Clerk Mains 2017

Quantitative Aptitude (Time and Work) is a very important section you must prepare if you are aiming for a job in Bank or Insurance sector. So, these 15 questions can help you practice three very important topics of Quant Section.

Q1. 18 Men can complete a project in 30 days and 16 women can complete the same project in 36 days. 15 men start working and after 9 days they are replaced by 18 women. In how many days will 18 women complete the remaining work?
(a) 20
(b) 30
(c) 26
(d) 28
(e) 24

Q2. Amit and Sujit together can complete an assignment of data entry in 5 days. Sujit’s speed is 80% of Amit’s speed and the total key are 5,76,000. What is Amit’s speed in key depressions per hour if they work for 8 hours a day?
(a) 4800
(b) 6400
(c) 8000
(d) 7200
(e) 8400

Q3. A and B together can complete a piece of work in 72/7 days while B and C together can complete the same work in 40/3 days. B is 25% more efficient than C. In how many days will A and C together complete the same work?
Q4. There are two taps to fill a tank and a third to empty it. When the third tap is closed, they can fill the tank in 10 min and 12 min, respectively. If all the three taps be opened, the tank is filled in 15 min. If the first two taps are closed, in approximately what time can the third tap empty the when it is full?
(a) 8 min and 34 second
(b) 9 min and 32 second
(c) 7 min
(d) 6 min
(e) 12 min

Q5. C is twice as efficient as A. B takes thrice as many days as C. A takes 12 days to finish the work alone. If they work in pairs (i.e., AB, BC, CA) starting with AB on the first day, BC on the second day and AC on the third day and so on, then how many days are required to finish the work?

Q6. Two pipes A and B can fill a tank in 20 and 30 hrs. respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 rd full, a leak develops in the tank through which one-third water supplied by both the pipes goes out & after it the leak was get closed by some means. The total time taken to fill the tank is
(a) 12 hr
(b) 16 hr
(c) 14 hr
(d) 18 hr
(e) 20 hr.

Q7. A certain number of people were supposed to complete a work in 24 days. The work, however, took 32 days, since 9 people were absent throughout. How many people were supposed to be working originally?
(a) 32
(b) 27
(c) 36
(d) 30
(e) 28

Q8. X and Y start from the same point and run around a circular stadium, whose circumference is 4200 m, at the rate of 500 m and 700 m per minute respectively in the opposite direction. They will meet each other in
(a) 3.5 min
(b) 6.0 min
(c) 8.4 min
(d) 2.1 min
(e) 2.8 min

Q9. If 600 men dig a 5.5 m wide, 4 m deep and 405 m long canal in half an hour, then how long a canal will 2500 men working for 6 hrs, dig if it is 10 m wide and 8 m deep?
(a) 6452 m
(b) 5568 3/4 m
(c) 2694 1/3 m
(d) 4082 m
(e) None of these

Directions (10-13) : Read the following data and answer the questions that follow.

A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 6 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.

Q10. How many minutes will it take to fill the tank if all the 24 pipes are opened at the same time?

Q11. If only half the pipes of set X are opened and half the pipes of set Y are opened and all other pipes of set Z are opened, approximately how long will it take to fill 49% of the tank?
(a) 16 minutes
(b) 13 minutes
(c) 8 minutes
(d)10 minutes
(e)12 minutes

Q12. If 4 pipes are closed in set Z, and all other remain open, how long will it take to fill the tank?
(a) 5 minutes
(b) 6 minutes
(c) 7 minutes
(d) 7.5 minutes
(e) 6.5 minutes

Q13. If the tank is half filled and set X and Y are closed, how many minutes will it take for set Z to empty the tank.
(a) 12 minutes
(b) 10 minutes
(c) 15 minutes
(d) 16 minutes
(e) 14 minutes

Q14. A tank of 3600 cu m capacity is being filled with water. The delivery of the pump discharging the tank is 20% more than the delivery of the pump filling the same tank. As a result, twelve minutes more time is needed to fill the tank than to discharge it. Determine the rate of delivery of the pump discharging the tank.
(a) 40 cubic metre/min
(b) 50 cubic metre/min
(c) 60 cubic metre/min
(d) 80 cubic metre/min
(e) 58 cubic metre/min

Q15. 24 workers working 13 hours daily make a wall of dimensions 224 m × 16 m × 52 m in 32 days. In how many days will 36 workers working 18 hours daily make a wall of dimensions 432 m × 21 m × 64 m?
(a) 58 days
(b) 42 days
(c) 48 days
(d) 60 days
(e) 62 days