ISEE Quantitative Comparisons Question 167: Answer and Explanation

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Question: 167

8. The formula for the volume of a pyramid is Bh, where B represents the area of the base of the pyramid and h represents the height of the pyramid. The volume of Pyramid A is 3 times the volume of Pyramid B.

Note: Figure not drawn to scale.

  • 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

Use logic. While it is possible that the reduction in area relates to the area of the base, it is equally possible that the height of Pyramid B is reduced by a factor of while the area base is unchanged. (Other arrangements are possible as well.)

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