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n is an integer. Quantity A: (-1)ⁿ. Quantity B: 1.

GRE · 2024 · quant slot 1
Question:
n is an integer. Quantity A: (-1)ⁿ. Quantity B: 1.

Options

(A) Quantity A is greater
(B) Quantity B is greater
(C) The two quantities are equal
(D) The relationship cannot be determined
Answer: (D) The relationship cannot be determined

Explanation:
If n is even: (-1)ⁿ = 1, equal to Quantity B. If n is odd: (-1)ⁿ = -1, so Quantity B is greater. Relationship depends on n.

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