ABC26GN0299 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

The product of any three consecutive natural numbers is always divisible by

(a)3

(b)6

(c)9

(d)15

Answer

Answer (as printed): B

Explanation

Let the required product be n (n + 1) (n + 2). Then, n = 1 ⇒ n (n + 1) (n + 2) = (1 × 2 × 3) = 6. n = 2 ⇒ n (n + 1) (n + 2) = (2 × 3 × 4) = 24. n = 3 ⇒ n (n + 1) (n + 2) = (3 × 4 × 5) = 60. So, each such product is divisible by 6.

Explanation as extracted from the printed page; notation may be imperfect.

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