The greatest positive integer, which divides (n+2)(n+3)(n+4)(n+5)(n+6) for all n N, is

JEE Main Mathematics question

The greatest positive integer, which divides for all , is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

TOPIC NOT IN SYLLABUS: Principle of Mathematical Induction Five consecutive integers always contain a multiple of , of , and enough even numbers to give , so the product is divisible by . Values:

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-012950