Alligation or Mixture MCQ Question with Answer
Alligation or Mixture MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.
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Question No : 1
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?
18 litres
24 litres
32 litres
42 litres
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Correct Answer : B
Explanation
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Explanation
Let the quantity of the wine in the cask originally be x litres.
| Then, quantity of wine left in cask after 4 operations = |  | x |  | 1 - | 8 |  | 4 |  litres. |
| x |
 | | x(1 - (8/x))4 | | = | 16 |
| x | 81 |
 | | 1 - | 8 | | 4 | = | | 2 | | 4 |
| x | 3 |
| | x - 8 | | = | 2 |
| x | 3 |
3x - 24 = 2x
x = 24.
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