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Mixtures and Allegations MCQs

Free 23+ Mixtures and Allegations MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Practise below with answers and explanations.

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Mixtures and Allegations — MCQs for Pakistan government job tests

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Mixtures and Allegations

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1.A mixture contains 80% milk by weight. If 36 grams of pure milk is added to 180 grams of this mixture, what will be the new percentage of milk in the resulting mixture?

2.A container holds a mixture of milk and water in the ratio 4:5. When 8 litres of milk are added, the container becomes full, and the new ratio of milk to water changes to 6:5. What is the total capacity of the container?

3.In what proportion should rice priced at Rs. 6 per kg be blended with rice priced at Rs. 8.75 per kg to create a mixture costing Rs. 7.50 per kg?

4.A 70-litre mixture of milk and water contains 10% water. How many litres of water need to be added to increase the water content to 12.5%?

5.Container A was completely filled with water and then emptied into containers B and C. The volume of water in container B was 62.5% less than the total capacity of container A. When 148 liters of water was moved from container C to container B, both containers ended up holding the same amount of water. What was the original volume of water in container A?

6.Two types of wheat, A and B, are priced at Rs. 9 per kg and Rs. 15 per kg respectively. They are combined in a ratio of 3:7. If 5 kg of this blend is sold at a 25% gain, what is the profit earned?

7.If you combine a certain amount of oil priced at Rs.40 per liter with 240 liters of another oil costing Rs.60 per liter, how many liters of the first oil must be added to obtain a blend priced at Rs.52 per liter?

8.At what proportion should two types of sugar priced at Rs. 18 per kg and Rs. 24 per kg be combined to obtain a blend costing Rs. 20 per kg?

9.A container holds 20 liters of a milk and water mixture in the ratio 3:2. Ten liters of this mixture are taken out and replaced with an equal amount of pure milk. If this replacement process is done once again, what will be the final ratio of milk to water in the mixture?

10.A 150-liter mixture of wine and water contains 20% water. How many additional liters of water must be added so that water makes up 25% of the resulting mixture?

11.To achieve a profit of 16 2/3% by selling a milk-water mixture at the cost price of milk, in what proportion should water be added to the milk?

12.A grocer wants to blend two types of tea priced at Rs. 60 per kg and Rs. 65 per kg. In what proportion should they be mixed so that selling the blend at Rs. 68.20 per kg yields a 10% profit?

13.In what proportion should rice costing Rs. 7.20 per kg be combined with rice priced at Rs. 5.70 per kg to create a blend valued at Rs. 6.30 per kg?

14.A container with a capacity of 90 litres is initially filled completely with pure milk. First, 9 litres of milk is removed and replaced with an equal amount of water. Then, 9 litres of this new mixture is taken out and replaced again with water. What is the volume of pure milk remaining in the final mixture?

15.Vessels P and Q hold alcohol solutions of 62.5% and 87.5% concentration, respectively. If 2 liters from vessel P are combined with 4 liters from vessel Q, what is the ratio of alcohol to water in the final mixture?

16.Sharjeel has a container holding a mixture of wine and water in the ratio 4:1. He accidentally spills some of this mixture and then refills the container with an equal amount of water. After this, the ratio of wine to water changes to 3:2. What fraction of the mixture did Sharjeel replace with water?

17.A cask originally full of wine has 8 litres removed and replaced with water. This process is repeated three additional times. After these operations, the ratio of wine to water in the cask is 16:65. What was the initial volume of wine in the cask?

18.If Type 1 rice costs Rs. 15 per kilogram and Type 2 rice costs Rs. 20 per kilogram, what is the price per kilogram when these two types are blended in the ratio 2:3?

19.A grocer has two types of tea priced at Rs. 60 per kg and Rs. 65 per kg. In what proportion should he blend these teas if he wants to sell the mixture at Rs. 68.20 per kg and achieve a 10% profit?

20.In what proportion should rice priced at Rs. 7.20 per kg be combined with rice costing Rs. 5.70 per kg to obtain a mixture valued at Rs. 6.30 per kg?

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