ISEE Quantitative Comparisons Question 158: Answer and Explanation

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Question: 158

5. For all numbers x and y, let the function x▽y be defined by x▽y = x² – xy + y².

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

A "weird symbol" defined to equal an equation is simply a different form of function notation, so plug in numbers as directed by the defined equation. Test each answer. For choice (A), 3▽2 = 3² - (3)(2) + 2² = 7. For choice (B), 2▽3 = 2² - (2)(3) + 3² = 7.

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