Alligation - Aptitude MCQ Questions and Solutions with Explanations Page-8 section-1

71.
The acid and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water ?

A. 7 : 5

B. 5 : 7

C. 7 : 3

D. 5 : 3

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72.
A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning in the vessel, was:

A. 8.64

B. 15.36

C. 12.64

D. 11.36

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73.
A milkman borrowed a sum of Rs. 2,500 from two moneylenders for one loan on simple interest at the rate of 5% and 7%, respectively, for a period of 2 years. If the total interest paid by him was Rs. 276, then how much did he borrow at the rate of 7% p.a.?

A. Rs. 700

B. Rs. 650

C. Rs. 675

D. Rs. 550

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74.
An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

A. 250

B. 750

C. 1000

D. 500

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75.
A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3. If 12 litres of the solution are taken out and $$7\frac{1}{2}$$ litres of water are added to it, then what is the ratio of acid and water in the resulting solution?

A. 5 : 6

B. 4 : 7

C. 4 : 9

D. 8 : 11

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76.
The price of a variety of a commodity is Rs. 7 per kg and that of another is Rs. 12 per kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is Rs. 10 per kg.

A. 3 : 4

B. 2 : 3

C. 4 : 5

D. 2 : 5

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77.
A milkman has a 15 litres drum with 9 litres milk. He filled the drum with water and now takes out $$\frac{1}{2}$$ litre of the mixture. What is the quantity of milk (in millilitres) in the mixture taken out?

A. 250

B. 266

C. 300

D. 333

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78.
In what ratio must 45% grape juice be mixed with that of 25% grape juice so as to get a mixture of 40% grape juice?

A. 4 : 1

B. 3 : 1

C. 4 : 3

D. 2 : 3

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79.
A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 liters of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

A. 45

B. 40

C. 35

D. 44

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80.
40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?

A. 66%

B. $$66\frac{2}{3}\% $$

C. $$69\frac{1}{3}\% $$

D. 69%

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Alligation - Aptitude MCQ Questions and Solutions with Explanations

71. The acid and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water ?

Answer & Solution

Answer & Solution

73. A milkman borrowed a sum of Rs. 2,500 from two moneylenders for one loan on simple interest at the rate of 5% and 7%, respectively, for a period of 2 years. If the total interest paid by him was Rs. 276, then how much did he borrow at the rate of 7% p.a.?

Answer & Solution

74. An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

Answer & Solution

75. A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3. If 12 litres of the solution are taken out and $$7\frac{1}{2}$$ litres of water are added to it, then what is the ratio of acid and water in the resulting solution?

Answer & Solution

76. The price of a variety of a commodity is Rs. 7 per kg and that of another is Rs. 12 per kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is Rs. 10 per kg.

Answer & Solution

77. A milkman has a 15 litres drum with 9 litres milk. He filled the drum with water and now takes out $$\frac{1}{2}$$ litre of the mixture. What is the quantity of milk (in millilitres) in the mixture taken out?

Answer & Solution

78. In what ratio must 45% grape juice be mixed with that of 25% grape juice so as to get a mixture of 40% grape juice?

Answer & Solution

79. A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 liters of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

Answer & Solution

80. 40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?

Answer & Solution

71.
The acid and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water ?

73.
A milkman borrowed a sum of Rs. 2,500 from two moneylenders for one loan on simple interest at the rate of 5% and 7%, respectively, for a period of 2 years. If the total interest paid by him was Rs. 276, then how much did he borrow at the rate of 7% p.a.?

74.
An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

75.
A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3. If 12 litres of the solution are taken out and $$7\frac{1}{2}$$ litres of water are added to it, then what is the ratio of acid and water in the resulting solution?

76.
The price of a variety of a commodity is Rs. 7 per kg and that of another is Rs. 12 per kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is Rs. 10 per kg.

77.
A milkman has a 15 litres drum with 9 litres milk. He filled the drum with water and now takes out $$\frac{1}{2}$$ litre of the mixture. What is the quantity of milk (in millilitres) in the mixture taken out?

78.
In what ratio must 45% grape juice be mixed with that of 25% grape juice so as to get a mixture of 40% grape juice?

79.
A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 liters of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

80.
40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?