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Home » GAT Subject » Mathematics » Aptitude Test - 13
1.A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
A. 1750
B. 1900
C. 8600
D. 1750
2.A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and Find the total profit.
A. Rs.4500
B. Rs.5200
C. Rs.1800
D. Rs.4500
3.If 6 (A’s capital) = 8 (B’s capital) = 10 (C’s capital). Then the ratio of their capitals is:
A. 3:04:05
B. 12:15:20
C. 20:15:12
D. 3:04:05
4.A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
A. Rs.3750
B. Rs.3000
C. Rs.3200
D. Rs.3750
5.A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B’s investment in the business?
A. Rs.2400
B. Rs.1800
C. Rs.3600
D. Rs.2400
6.A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
A. Rs.240
B. Rs.350
C. Rs.340
D. Rs.240
7.A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B’s capital was used?
A. 6 months
B. 8 months
C. 10 months
D. 6 months
8.A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
A. Rs.18000
B. Rs.15000
C. Rs.17000
D. Rs.18000
9.A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
A. Rs.480
B. Rs.615
C. Rs.820
D. Rs.480
10.A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
A. Rs.3630
B. Rs.2840
C. Rs.3200
D. Rs.3630
11.Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in__?
A. 6 hours
B. 6 2/3 hours
C. 7 hours
D. 6 hours
12.A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
A. 4.5 hrs
B. 5 hrs
C. 6.5 hrs
D. 4.5 hrs
13.A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are openeWhat is the total time taken to fill the tank completely?
A. 3 hrs 15 min
B. 3 hrs 45 min
C. 4 hrs
D. 3 hrs 15 min
14.minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
A. 15 min
B. 20 min
C. 27.5 min
D. 15 min
15.One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
A. 81 min.
B. 108 min.
C. 144 min.
D. 81 min.
16.A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full the leak will empty it in.
A. 16 hrs
B. 20 hrs
C. 25 hrs
D. 16 hrs
17.One top can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?
A. 5 Hours
B. 6 Hours
C. 7 Hours
D. 5 Hours
18.A top can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously the time (in hours) to fill the tank is
A. 8
B. 10
C. 16
D. 8
19.Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
A. 10
B. 12
C. 14
D. 10
20.Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are openeThe cistern will be filled in just half an hour, if the pipe B is turned off after?
A. 5 min
B. 9 min
C. 10 min
D. 5 min
21.Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
A. 60 gallons
B. 100 gallons
C. 120 gallons
D. 60 gallons
22.Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is____?
A. 6 hrs
B. 6 2/3 hrs
C. 7 hrs
D. 6 hrs
23.A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
A. 15 min
B. 20 min
C. 27.5 min
D. 15 min
24.Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
A. 10 min 20 sec
B. 11 min 45 sec
C. 12 min 30 sec
D. 10 min 20 sec
25.A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
A. 6 hrs
B. 10 hrs
C. 15 hrs
D. 6 hrs
26.A tank is filled in 5 hours by three pipes A, B and The pipe C is twice as fast as B and B is twice as fast as How much time will pipe A alone take to fill the tank?
A. 20 hrs
B. 25 hrs
C. 35 hrs
D. 20 hrs
27.One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
A. 81 min
B. 108 min
C. 144 min
D. 81 min
28.Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
A. 1 hr
B. 2 hrs
C. 6 hrs
D. 1 hr
29.A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
A. 4 1/3 hrs
B. 7 hrs
C. 8 hrs
D. 4 1/3 hrs
30.Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
A. 90 min
B. 100 min
C. 110 min
D. 90 min
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