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A positive integer n is divisible by 6. Which statements must be true?

GRE · 2025 · quant slot 1
Question:
A positive integer n is divisible by 6. Which statements must be true?

Options

(A) n is divisible by 2
(B) n is divisible by 3
(C) n is divisible by 12
(D) n is even
(E) (A) n is divisible by 2, (B) n is divisible by 3 & (D) n is even
Answer: (E) (A) n is divisible by 2, (B) n is divisible by 3 & (D) n is even"

Explanation:
Since 6 = 2×3, n must be divisible by both 2 and 3. That also implies n is even. Not necessarily divisible by 12 or 9.

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