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Hassan
1.A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
A. 37 ½ days
B. 22 days
C. 31 days
D. 37 ½ days
2.12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
A. 14
B. 15
C. 16
D. 14
3.A leak in the lower portion of a tank can empty the full tank in 9 hrs. An inlet pipe fills water at the rtae of 10 lit. a minute. When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs. How many litres does the cistern hold ?
A. 12,342 litres.
B. 12,444 litres
C. 12,566 litres.
D. 12,342 litres.
4.A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?
A. 75/8 days
B. 44/6 days
C. 48/5 days
D. 75/8 days
5.A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X?
A. 9
B. 10
C. 11
D. 9
6.Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A. 2700
B. 1080
C. 450
D. 2700
7.P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
A. 7 days
B. 8 days
C. 9 days
D. 7 days
8.10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?
A. 4 days
B. 5 days
C. 6 days
D. 4 days
9.P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in ?
A. 15 days
B. 20 days
C. 25 days
D. 15 days
10.A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank in liters is ?
A. 5,750 litres
B. 5,760 litres
C. 6,890 litres
D. 5,750 litres
11.A tap can fill a tank in 32 min. and another can empty it in 16 min. If the tank is already half full and both the tanks are opened together, the tank will be ?
A. 12 min
B. 14 min
C. 16 min
D. 12 min
12.A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in ?
A. 20 days
B. 30 days
C. 40 days
D. 20 days
13.Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.?
A. 3:4
B. 5:4
C. 4:3
D. 3:4
14.A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in ?
A. 4
B. 9.6
C. 9
D. 4
15.If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
A. 2
B. 4
C. 5
D. 2
16.A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is ?
A. 1:3
B. 4:3
C. 2:3
D. 1:3
17.P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in days if all of them are working together ?
A. 2
B. 3 3⁄7
C. 4 ¼
D. 2
18.Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively. Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ?
A. 2 min
B. 3 min
C. 4 min
D. 2 min
19.A can do a certain job in 12 days. B is 60% more efficient than A. The number of days it takes for B to do the same piece of work, is ?
A. 12/6 days
B. 15/2 days
C. 23 days
D. 12/6 days
20.A can do piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?
A. 70 days
B. 120/7 days
C. 50 days
D. 70 days
21.A and B can do a piece of work in 21 and 24 days respectively.They start the work together and after some days, A leaves and B completes the rest of the task in 9 days. After how many days did A leave?
A. 8
B. 7
C. 6
D. 8
22.A,B,C, can do a work in 8,14,16 days respectively. A does the work for the first 2 days. B continues from it and finishes 2/3rd of the remaining work. C finishes the remaining work. How many days would have taken to complete the work?
A. 11
B. 12
C. 13
D. 11
23.If 6 men working together can complete 50 identical tasks in 4 hours then how many such identical tasks can be completed if 10 men are working together for 6 hours?
A. 20
B. 25
C. 125
D. 20
24.P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in days?
A. 4
B. 5
C. 6
D. 4
25.P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
A. 9
B. 13
C. 17
D. 9
26.6 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 days?
A. 4 days
B. 6 days
C. 2 days
D. 4 days
27.A cistern has two taps which fill it in 12 min. and 15 min.respectively There is one outlet pipe in the cistern. When all the taps & pipe are opened, the empty cistern is full in 20 min. How long will the waste pipe (outlet) take to empty the full cistern ?
A. 10 min
B. 20 min
C. 30 min
D. 10 min
28.To fill a cistern, pipes P, Q & R take 20, 15 & 12 minutes respectively. The time in minutes that the three pipes together will take to fill the cistern is ?
A. 5 min
B. 10 min
C. 15 min
D. 5 min
29.Related Pair of Words LIQUID: HYDRAULICS ?
A. motion: dynamics
B. water: hydroponics
C. data: statistics
D. motion: dynamics
30.Related Pair of Words CIRCUITOUS : ROUTER ?
A. problematic : solution
B. devious : argument
C. elliptical : brevity
D. problematic : solution
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