ISEE Quantitative Comparisons Question 173: Answer and Explanation

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Question: 173

14.

  • A. The quantity in Column A is greater.
  • B. The quantity in Column B is greater.
  • C. The two quantities are equal.
  • D. The relationship cannot be determined from the information given.

Correct Answer: D

Explanation:

D

Given that the absolute value of a and the absolute value of c are unknown, a + c can be any real number, including a number less than, equal to, or greater than b.

Plug in values for a, b, and c, following the restrictions, such as a = –2, b = 2, and c = 3. The value of Column A is 1, and the value of Column B is 2. As the value of Column A is not always greater than the value of Column B, and the values of the columns are not always equal, eliminate choices (A) and (C). Change up the numbers, trying to make the value of Column A greater if possible. Try c = 10, but keep a and b the same. Now, the value of Column A is 8, and the value of Column B is 2. As the value of Column B is not always greater than the value of Column A, eliminate choice (B) and select choice (D).

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