CAT 1996 | Question: 180

Question

In each question, you are given certain data followed by two statements. For answering the questions:

Mark a, if both the statements together are insufficient to answer the question.

Mark b, if any one of the two statements is sufficient to answer the question.

Mark c, if each statement alone is sufficient to answer the question.

Mark d, if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume)

1. The ratio of liquid A to liquid B in the first and second vessel is, respectively, $3 : 5, 2 : 3$.

2. The ratio liquid A to liquid B in vessel 3 is $4 : 3$.

• A. if both the statements together are insufficient to answer the question.
• B. if any one of the two statements is sufficient to answer the question.
• C. if each statement alone is sufficient to answer the question.
• D. if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

Answer 1

Statements $1$ and $2$ together are not sufficient.

Although the containers are of equal volumes, it is not known to what extent these containers are filled by the liquids A and B.

The first container might be half full while the second might be two-third full. So, we can't find the required ratio using both statements together

Hence option A is correct.

Comments

The containers are of equal volume -- it is safe to assume that the containers are fully filled here.

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Given that containers are in equal volumes, that does not mean that quantities in each container are in equal volumes. Since, we do not know that quantity of the liquid, we cannot find the ratio of the final mixture.

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Wow!