ISEE Quantitative Comparisons Question 155: Answer and Explanation

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Question: 155

2.

  • 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: C

Explanation:

The answer is C

Distribute both the a and b into the second factor: (a3 + a2b + ab2 - a2b - ab2 - b3). Combine like terms, and all of the middle terms cancel out: a3 - b3.

Plug in values for a and b, such as a = 5 and b = 2. Both columns yield the value 117. Because the value of Column A is not always greater than the value of Column B, and the value of Column B is not always the value of Column A, eliminate choices (A) and (B). Now try weird values for a and b, such as 0, 1, negatives, and/or fractions. Each trial yields the same values for the two columns. Therefore, choice (C) is correct.

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