Question

Among P, Q, R, S, T, and U, who is the heaviest? 
Statement I - P is heavier than T and U and he is the second heaviest in the group. 
Statement II - S is heavier than Q but not the heaviest.

• A. If the question can be answered with the help of statement I alone.
• B. If the question can be answered with the help of statement II alone.
• C. If both, statement I and statement II are needed to answer the question.
• D. If the question cannot be answered even with the help of both the statements.

Hint:

In data sufficiency problems, often both statements are required to derive a conclusion. Carefully analyze the data in each statement and see if they complement each other.

Answer 1

The Correct Option is C

Let's analyze both statements to see if we can determine the heaviest person.
Statement (I): P is heavier than T and U and is the second heaviest.
From this, we know that P is not the heaviest but is the second heaviest.
We also know that T and U are lighter than P, but this statement does not directly tell us who the heaviest person is.
Statement (II): S is heavier than Q but not the heaviest.
This tells us that S is heavier than Q, but S is not the heaviest.
However, this still doesn’t give us a clear ranking of the heaviest person.
Combining both statements:
Statement (I) gives us information about P's relative weight but doesn't tell us the heaviest.
Statement (II) helps narrow down who is heavier than whom but still doesn’t clarify who is the heaviest.
To determine the heaviest person, we need both statements together to make a complete analysis. Combining the information, we deduce the relative weights of P, S, and others, and identify the heaviest.
Thus, both statements are needed to answer the question.