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### Mathematical Skills | Mixtures and Alligations

 Q. No. 1: 3L water is taken out from a vessel full of water and substituted by pure milk. This process is repeated two more times. Finally the ratio of milk and water in the solution becomes 1728:27. Find the volume of the original solution. A : 3L B : 2L C : 4L D : 8L Solution
 Q. No. 2: Several litres of acid were drawn off from a 54 L vessel full of acid and an equal amount of water is added. Again the same volume of mixture was drawn off and replaced by water. As a result, the vessel contained 24L of pure acid. How much acid was drawn off initially? A : 12L B : 16L C : 18L D : 24L Solution
 Q. No. 3: A lump of two metals weighing 18gm is worth Rs 87 but if their weights be interchanged, it would be worth Rs 78.60. If the price of one metal be Rs 6.70 per gm, find the weight of the other metal in the mixture. A : 8gm B : 12gm C : 15gm D : 18gm Solution
 Q. No. 4: One type of liquid contains 25% of milk, the other contains 30% of milk. A can filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of the milk in the new mixture. A : 28% B : 25% C : 30% D : 27% Solution
 Q. No. 5: In two alloys, copper and zinc are related in the ratios of 4:1 and 1:3. 10kg of 1st alloy, 16 kg of 2nd alloy and some of pure copper are melted together. An alloy was obtained in which the ratio of copper to zinc was 3:2. Find the weight of the new alloy. A : 34kg B : 35kg C : 36kg D : 30kg Solution
 Q. No. 6: Fresh fruits contains 72% water and dry fruit contains 20% water. How much dry fruit from 100kg of fresh fruit can be obtained? A : 35kg B : 32kg C : 27kg D : 22kg Solution
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