Q1. 12 Men can complete a project in 15 days and 10 women can complete the same project in 24 days. 9 men start working and after 6 days they are replaced by 12 women. In how many days will 12 women complete the remaining work?
(a) 20
(b) 10
(c) 16
(d) 18
(e) 14
Q2. Arjun and Suman together can complete an assignment of data entry in 6 days. Suman’s speed is 60% of Arjun’s speed and the total key are 5,76,000. What is Arjun’s speed in key depressions per hour if they work for 12 hours a day?
(a) 4800
(b) 6400
(c) 5000
(d) 7200
(e) 8400
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. A is twice as efficient as C. B takes thrice as many days as A. C takes 12 days to finish the work alone. If they work in pairs (i.e., BC, AB, CA) starting with BC on the first day, AB on the second day and AC on the third day and so on, then how many days are required to finish the work?
(a) 31/5 days
(b) 4.5 days
(c) 46/9 days
(d) 8 days
(e) 4 days
Solutions (1-5):
Q6. There are two auto closed pipes X and Y which get closed if there is any disturbance can fill a tank in 10 and 15 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 which results in closing of both pipes. Through the leak one-third water supplied by both the pipes goes out & after it the leak was get closed by some means and both filling pipes again start filling the tank. The total time taken to fill the tank is
(a) 12 hr
(b) 8 hr
(c) 4 hr
(d) 6 hr
(e) 10 hr.
Q7. A certain number of people were supposed to complete a work in 20 days. The work, however, took 28 days, since 8 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 2800 m, at the rate of 250 m and 350 m per minute respectively in the opposite direction. They will meet each other in
(a) 14/3 min
(b) 16/3 min
(c) 12/5 min
(d) 18/5 min
(e) 11/3 min
Q9. If 300 men dig a 5.5 m wide, 4 m deep and 405 m long canal in an hour, then how long a canal will 2000 men working for 6 hrs, dig if it is 20 m wide and 16 m deep?
(a) 6452 m
(b) 6682.5 m
(c) 2694.5 m
(d) 4082 m
(e) None of these
Q10. In an army camp there was sufficient food for 250 soldiers for 30 days. After 20 days 125 soldiers left the camp. For how many extra days will the rest of the food last for the remaining soldiers?
(a) 12 days
(b) 10 days
(c) 8 days
(d) 6 days
(e) 14 days
Solutions (6-10):
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