Quantitative Aptitude

Mixtures and Alligation

1,816 Questions

All Direct removal and addition 448 Alligation cross rule 270 Ratios, quantities, and percentages 233 Weighted mean and concentration 195 Equal quantity replacement 189 Three or more components 174 Repeated equal-volume replacement 154 Profit-based alligation 153

Mixtures and Alligation Questions

Multiple choice

In what ratio is salt costing Rs. 13/kg mixed with another salt costing Rs. 7/kg to get a mixture costing Rs. 9/kg?

4 : 7
3 : 5
2 : 3
1 : 2

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Multiple choice

In a mixture of 80 kg of rice, the ratio of Quality 1 rice to Quality 2 rice is 2 : 3. To make the ratio 1 : 2, some Quality 2 rice is added. How much Quality 2 rice is added?

10 kg
12 kg
16 kg
15 kg
7.8 kg

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Multiple choice

Vipin adds 3 litres of liquid A in 6 litres of liquid B and Mohit adds 8 litres of liquid A in 15 litres of liquid B. What is the ratio of the percentage of liquid B in the two mixtures?

26 : 25
51 : 32
46 : 45
34 : 25

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Multiple choice

Rajat has 5 containers which contain a, b, c, d and e litres of milk with 15, 10, 20, 25 and 30 litres of water, respectively. If, in a 6th empty container having 180 litre capacity, he mixes the liquid from containers in the ratio 5 : 3 : 2 : 1 : 7, taking a total of 90 litres from all the 5 containers and 40 litres of milk is further added to the 6th container, then % of milk out of the total liquid in the 6th container is (if each container contains 90 litres of liquid)

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Multiple choice

A dishonest milkman buys milk at Rs. 20 per litre and adds 1/3 of water to it and sells the mixture at Rs. 25 per litre. His gain is

25 percent
40 percent
37.5 percent
66.33 percent

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Multiple choice

An alloy contains copper, zinc and tin in the ratio 4 : 5 : 6 respectively. Another alloy containing copper and tin is melted and mixed with the first alloy. If the mixture contains copper, zinc and tin in the ratio 13 : 1 : 3, find the ratio of copper and tin in the second alloy.

12 : 5
9 : 25
25 : 9
61 : 9
None of these

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Multiple choice

If a dairy mixes cow's milk, which contains 10% fat, with buffalo's milk, which contains 20% fat, then the resulting mixture has (120/7)% of fat. In what ratio is the cow's milk mixed with the buffalo's milk?

2 : 5
1 : 5
2 : 3
2 : 1

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Multiple choice

In what ratio should tea costing Rs. 300/kg be mixed with tea costing Rs. 200/kg so that the cost of the mixture is Rs. 225/kg?

3 : 1
1 : 3
1 : 4
4 : 1

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Multiple choice

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

250
750
1000
500

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Multiple choice

If x beakers of 100 ml containing 1 : 4 acid-water solution are mixed with y beakers of 200 ml containing 3 : 17 acid-water solution, then the ratio of acid to water in the resulting mixture becomes 19 : 91. Find x : y.

5 : 3
3 : 5
7 : 13
13 : 7

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Multiple choice

A huge jar contains 2 liquids A and B in the ratio 7 : 4. When 12 litres of mixture is removed and replaced by B, the ratio becomes 4 : 7. The capacity of the jar (in litres) is

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Multiple choice

A dealer mixes \$14 per kg of tea and \$23 per kg of tea and sells that mixture at a price of $22 per kg. What is the proportion of each type of tea that he should mix and sell to earn a profit of 10%?

2 : 1
1 : 2
1 : 4
4 : 1
3 : 4

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Multiple choice

A vessel is full of a mixture of spirit and water containing 18% spirit. Eight litres of the mixture is drawn and then, the vessel is filled with water. If the present percentage of spirit is 15%, then find the total quantity of mixture in the vessel.

45 litres
48 litres
49 litres
52 litres
None of these

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Multiple choice

If 138 g of ethyl alcohol is mixed with 72 g of water, the ratio of mole fraction of alcohol to water is

3 : 4
1 : 2
1 : 4
1 : 1

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Multiple choice

The proportions of acid and water in 3 samples are 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all 3 samples is made. The ratio of water and acid in the mixture will be

120 : 133
227 : 133
227 : 120
133 : 227

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