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n is a prime number greater than 10. Which of the following must be odd? Indicate all that apply.

GRE · 2023 · quant slot 1
Question:
n is a prime number greater than 10. Which of the following must be odd? Indicate all that apply.

Options

(A) n + 1
(B) n - 1
(C) n²
(D) (C) n² & (E) n + 2
(E) n + 2
Answer: (D) (C) n² & (E) n + 2

Explanation:
All primes > 10 are odd. Odd² = odd (C ✓). Odd + 2 = odd (E ✓). n±1 = even; 2n = even.

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