ABC26GN0294 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: 2007 · Marks: · Difficulty:

The largest natural number, which exactly divides the product of any four consecutive natural numbers, is

(a)6

(b)12

(c)24

(d)120

Answer

Answer (as printed): C

Explanation

Let P = n (n + 1) (n + 2) (n + 3). Then, n = 1 gives P = (1 × 2 × 3 × 4) = 24. Hence, the required number is 24.

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