CDS 2024 · PYQ · Data Sufficiency / Number Properties · medium
Let a, b, c and d be positive integers. Question: Which one of a, b, c, d is closest to the product abcd? Statement-I: a > b > c. Statement-II: c is not the smallest.
A.If the Question can be answered by one of the Statements alone, but not by the other.
B.If the Question can be answered by either Statement alone.
C.If the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.✓ Correct
D.If the Question cannot be answered even by using both Statements together.
Explanation
From Statement I (a > b > c) alone, d's relationship is unknown. From Statement II (c is not smallest) alone, the ordering of others is unknown. Combining both: a > b > c and c is not smallest implies d < c < b < a, so a is the largest, hence the product abcd is closest to a. Both statements together are needed.
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