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Home » GAT Subject » Mathematics » Aptitude Test - 11
1.In a ship the provisions are sufficient for 800 men for 50 days. How long will these be sufficient for if there would have been 200 more men?
A. 40
B. 50
C. 30
D. 40
2.In a fort there is enough food sufficient for 1200 men for 10 days. How long the food would have last for if there would have been 1000 men.
A. 15
B. 12
C. 10
D. 15
3.In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
A. 80%
B. 100%
C. 84%
D. 80%
4.In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
A. 40
B. 44
C. 48
D. 40
5.what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
A. 5:06
B. 3:04
C. 7:08
D. 5:06
6.A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
A. 2
B. 8
C. 4
D. 2
7.All the water in container A which was filled to its brim was poured into two containers B and The quantity of water in container B was 62.5% less than the capacity of container If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
A. 648
B. 888
C. 928
D. 648
8.Two varieties of wheat – A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
A. Rs. 13.50
B. Rs. 14.50
C. Rs. 15.50
D. Rs. 13.50
9.How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
A. 120 liters
B. 180 liters
C. 110 liters
D. 120 liters
10.In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
A. 1:03
B. 3:01
C. 1:02
D. 1:03
11.A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
A. 9:01
B. 4:07
C. 7:01
D. 9:01
12.A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
A. 7 liters
B. 15 liters
C. 10 liters
D. 7 liters
13.In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?
A. 1:06
B. 2:03
C. 4:03
D. 1:06
14.In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?
A. 3:02
B. 3:04
C. 3:05
D. 3:02
15.The ratio in which the price at Rs.7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs.6.30 a kg is__?
A. 1:03
B. 2:03
C. 3:04
D. 1:03
16.A vessel of capacity 90 liters fully filled with pure milk. Nine liters milk is removed from the vessel and replaced with water. Nine liters of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
A. 72
B. 72.9
C. 73.8
D. 72
17.Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 liters from vessel Q, the ratio of alcohol and water in the resulting mixture is__?
A. 16:05
B. 14:05
C. 16:07
D. 16:05
18.Sharjeel has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Sharjeel spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Sharjeel add?
A. 5-Mar
B. 2-Jan
C. 4-Jan
D. 5-Mar
19.8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
A. 18 litres
B. 24 litres
C. 32 litres
D. 18 litres
20.The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:_______?
A. Rs. 18
B. Rs. 18.50
C. Rs. 19
D. Rs. 18
21.In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A. 3:02
B. 3:04
C. 3:05
D. 3:02
22.Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A. 1:03
B. 2:03
C. 3:04
D. 1:03
23.In what proportion must water be added to spirit to gain 20% by selling it at the cost price?
A. 2:05
B. 1:05
C. 3:05
D. 2:05
24.How much water must be added to a bucket which contains 40 liters of milk at the cost price of Rs.3.50 per liter so that the cost of milk reduces to Rs.2 per liter?
A. 25 liters
B. 28 litres
C. 30 liters
D. 25 liters
25.Milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively in what ratio the liquids in both the vessels should be mixed to obtain a new mixture in vessel C containing half milk and half water?
A. 1:01
B. 1:03
C. 1:02
D. 1:01
26.A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
A. 2:03:04
B. 3:02:04
C. 3:02:01
D. 2:03:04
27.A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A. 4 months
B. 5 months
C. 6 months
D. 4 months
28.A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
A. 2:03:05
B. 3:04:07
C. 4:05:09
D. 2:03:05
29.Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business?
A. 7:06:10
B. 12:15:16
C. 42:45:56
D. 7:06:10
30.A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A. Rs. 7500
B. Rs. 9000
C. Rs. 9500
D. Rs. 7500
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