2024 · Q61
Consider the following for the next ten (10) items that follow: Each item contains a Question followed by two Statements. Answer each item using the following instructions: Let a, b, c and d be positive integers. Question : Which one of a, b, c, d is closest to the product abcd?
Statement Ia > b > c
Statement IIc is not the smallest.
Elementary MathematicsNumber System
- AIf the Question can be answered by one of the Statements alone, but not by the other.
- BIf the Question can be answered by either Statement alone.
- CIf the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DIf the Question cannot be answered even by using both Statements together.
Explanation
Statement I gives a > b > c; statement II says c is not the smallest, so with positive integers a > b > c > d. Then abcd/a = bcd is the smallest multiplier, making a the closest of the four to the product abcd. Neither statement alone orders all four, so both together are needed: option (c).