单选题 Directions for Quantitative Comparison Questions: Some of the following questions give you two quantities, one in Column A and one in Column B, Compare the two quantities and choose one of the following answer choices:
  • A.if the quantity in Column A is greater;
  • B.if the quantity in column B is greater;
  • C.if the two quantities are equal;
  • D.if you cannot determine the relationship based on the given information
【正确答案】 A
【答案解析】To solve this problem, find maximum or minimum values for the percentages, given that 4<a<b<5. The quantity 25% of a must be greater than i because it is given that 4<a, and 25% of 4 is 1. The quantity 20% of b must be less than i because it is given that b<5, and 20% of 5 is 1. Therefore the quantity in Column A is greater than the quantity in Column B.
【正确答案】 C
【答案解析】To solve this problem, convert the written English into mathematical symbols. If "x is two times y," then x=2y. Similarly, if y is [*] of z, then y=[*] To determine which quantity is greater, substitute [*] for y into x=2y to get [*]. Therefore, the quantities in Column A and B are equal.
【正确答案】 D
【答案解析】To solve this problem, simplify the quantity in Column A and compare it to Column B. It is given that r>0, so the quantity [*]. However, you know only that r is greater than 0, so r could be less than, equal to, or greater than 2. Thus it is impossible to determine which quantity is greater based on the given information.