Multiple choice

Directions: The following problem consists of a question and two statements labelled (I) and (II). You have to decide whether the data provided in the given statements is sufficient to answer the question. What is the quantity of milk in a 60-litre mixture of milk and water? I. The ratio of milk to water in the mixture is 3 : 1. II. If 30 litres of water is added to the mixture, the ratio of milk to water becomes 1 : 1.

  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. Either statement I or statement II alone is sufficient to answer the question.

  4. The data in both the statements I and II together is not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the ratio 3:1 for a 60L mixture, so milk = 45L. Statement II: If 30L water is added, total = 90L. Ratio 1:1 means 45L milk and 45L water. This confirms the initial 45L of milk. Both statements independently allow calculating the quantity.

AI explanation

Statement I gives the ratio of milk to water as 3 to 1, meaning there are 4 total parts in the 60 litre mixture. The quantity of milk is 3/4 of 60, which is 45 litres. Statement II says that adding 30 litres of water makes the ratio 1 to 1, meaning the initial amount of water plus 30 equals the initial amount of milk; since the total initial mixture is 60 litres, milk equals 45 litres. Since either statement alone provides enough data to find the exact quantity of milk, either statement I or statement II alone is sufficient.

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