The sum of three consecutive odd numbers is always divisible by I. 2 II. 3 III. 5 IV. 6 · ABC26GN0300
Subject: General Aptitude · Chapter: Number System
The sum of three consecutive odd numbers is always divisible by I. 2 II. 3 III. 5 IV. 6
(a)Only I
(b)Only II
(c)Only I and II
(d)Only I and III
Answer
Answer (as printed): B
Explanation
Let the required odd numbers be n, (n + 2) and (n + 4). Then n + (n + 2) + (n + 4) = 3n + 6 = 3(n + 2), which is always divisible by 3. But n = 1 ⇒ 3(n + 2) = 3 × 3 = 9 which is not divisible by any of 2, 5 and 6. Hence only II is true.
Explanation as extracted from the printed page; notation may be imperfect.