Multiple choice

The questions given below contain two statements numbered I and II giving certain data. You have to decide whether the data given in the statements are sufficient to answer the question. A vessel contains 'X' litres of mixture of milk and water. The ratio of milk to water in the vessel is 9 : 4. What is the numerical value of 'X' I. 40% of the mixture is taken out and 5 litres of water is added, the percentage of water in the resultant mixture will be 40%. II. If 20% of the mixture is taken out and this action is repeated once more 20% of the remaining mixture is taken out) the remaining quantity of milk in the mixture will be 28.8 litres.

  1. if statement I alone is sufficient but statement II alone is not suflicient.

  2. if statement II alone is sufficient but statement I alone is not sufficient.

  3. if either statement I or II is sufficient.

  4. If both statement I and II together are not sufficient.

  5. If both statement 1 and II together arc sufficient, but neither of them alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I alone: Let total = X. Milk:Water = 9:4 means Milk = 9X/13, Water = 4X/13. After removing 40%, remaining milk = 9X/13 × 0.6, water = 4X/13 × 0.6. Adding 5L water: new water = 2.4X/13 + 5. Given water % = 40%, we can solve for X. Statement II alone: After first 20% removal: milk = 9X/13 × 0.8. After second removal: milk = 9X/13 × 0.64. Given this equals 28.8L, we can solve for X. Both independently give X, so either is sufficient.

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