Let, Alex = A
Bob = B
Charles = C

Question: Is A > B?

Statement 1: A > C

No mention of B hence

NOT SUFFICIENT

Statement 2: C ≤ B

No mention of A hence

NOT SUFFICIENT

COmbining the statements

A> C and C ≤ B

We stall can NOT compare A and B hence

NOT SUFFICIENT

ANswer: Option E

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VERITAS PREP OFFICIAL SOLUTION

Correct Answer: E

The correct answer to this question is (E). In evaluating statement (1) alone, we know Alex can throw the ball farther than Charles, but we do not know how Bob's throwing prowess relates to that of Alex and Charles. We have several possibilities:
Bob - Charles - Bob - Alex - Bob
As such, statement (1) alone is not sufficient.
Similarly, in evaluating statement (2) alone, we know Charles cannot throw the ball farther than Bob, but we do not know how Alex's throwing prowess relates to that of Charles and Bob. We have several possibilities:
Alex - Charles - Alex - Bob - Alex As such, statement (2) alone is not sufficient.
When evaluating statements (1) and (2) together, we know Alex and Bob both throw farther than Charles, but we do not know how the throwing capabilities of Alex and Bob relate to each other; as such, Statements (1) and (2) together are not sufficient to answer the question.
Charles - Alex - Bob
- or -
Charles - Bob - Alex
Thus, the correct response is E.
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