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Home » GAT Subject » Mathematics » Aptitude Test - 28
1.8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in:___?
A. 12 days
B. 16 days
C. 18 days
D. 12 days
2.Efficiency of Rashid and Danish are in the ratio 5:8. If Danish takes 51 days less than Rashid to complete the work, find the time taken by Rashid to complete the work.
A. 85 days
B. 126 days
C. 118 days
D. 85 days
3.If 12 men work 8 hours a day to complete a work in 10 days, how many men working 12 hours a day can complete the work in 5 days?
A. 16
B. 4
C. 12
D. 16
4.If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
A. 15
B. 14
C. 16
D. 15
5.Mansoor-Ul-Haque and Aaqib are working on a special assignment. Mansoor-Ul-Haque needs 6 hours to type 32 pages on a computer and Aaqib needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
A. 7 hour 15 minutes
B. 7 hour 30 minutes
C. 8 hour 15 minutes
D. 7 hour 15 minutes
6.Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed?
A. 3:00 PM
B. 2:00 PM
C. 1:00 PM
D. 3:00 PM
7.P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
A. 15-Aug
B. 15-Jul
C. 15-Nov
D. 15-Aug
8.Two pipes P and Q can fill a cistern in 12 min. and 15 min. respectively but a third pipe ‘R’ can empty the full tank in 6 min. P and Q are kept open for 5 min. in the beginning and then ‘R’ is also opene In what time is the cistern emptied ?
A. 30 min
B. 35 min
C. 40 min
D. 30 min
9.A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it ?
A. 40 days
B. 50 days
C. 60 days
D. 40 days
10.Farjan and Kashif can complete a task in 30 days. Farjan leaves after 20 days and Kashif alone completes it in another 25 days. How many days does Farjan alone take to complete the entire task?
A. 50
B. 75
C. 60
D. 50
11.Jameel can complete a task in 15 hours and Nasir can complete the same task in 12 hours. Jameel starts the task at 9:00 am and stops working at 2:00pm. Nasir starts working on the task at 4:00 pm. At what time is the task completed?
A. 12:00 PM
B. 2:00 AM
C. 12:00 AM
D. 12:00 PM
12.P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in___days.
A. 10
B. 9
C. 11
D. 10
13.Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in___days.
A. 14
B. 16
C. 15
D. 14
14.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
15.12 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
16.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.
17.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
18.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. 12
B. 8
C. 10
D. 12
19.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
20.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
B. 8
C. 9
D. 7
21.10 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. 7
B. 5
C. 6
D. 7
22.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. 30 days
B. 25 days
C. 20 days
D. 30 days
23.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
24.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
25.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
26.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. 3:04
B. 5:04
C. 4:03
D. 3:04
27.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
28.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. 8
C. 10
D. 2
29.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. 1:03
B. 4:03
C. 2:03
D. 1:03
30.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
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