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Home » GAT Subject » Mathematics » Aptitude Test - 3
1.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
2.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
3.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
4.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
5.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
6.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
7.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
8.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
9.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
10.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
11.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
12.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
13.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
14.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
15.6 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
16.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
17.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
18.The temperature at noon in LHR ,Pakistan was 6 deg on Monday ,4deg on Tuesday,2deg below zero on Wednesday,3deg below zero on Thursday, 0 deg on Friday ,3 deg on Saturday ,and 6 deg on Sunday. What was the average temperature at noon for the week ?
A. 14 deg
B. -2 deg
C. 2 deg
D. 14 deg
19.The average of two numbers is XY.If one number is equal to X ,the other number is equal to___?
A. X
B. 2Y
C. XY-X
D. X
20.If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is___?
A. 53.33
B. 54.68
C. 55
D. 53.33
21.The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A. 47.55 kg
B. 48 kg
C. 48.55 kg
D. 47.55 kg
22.The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is___?
A. 17 kg
B. 20 kg
C. 26 kg
D. 17 kg
23.The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is____?
A. 123
B. 137
C. 121
D. 123
24.A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?
A. 36km/h
B. 45km/h
C. 48km/h
D. 36km/h
25.The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them.
A. 57.4
B. 57.5
C. 58.9
D. 57.4
26.The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were___?
A. 16
B. 12
C. 8
D. 16
27.The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is____?
A. 1:02
B. 2:03
C. 3:04
D. 1:02
28.In an examination a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
A. 8
B. 9
C. 10
D. 8
29.The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is____?
A. 20
B. 21
C. 22
D. 20
30.The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is___?
A. 45
B. 50
C. 51.4 approx.
D. 45
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