Question

if n is an even natural number, then the largest natural number by which n (n+1) (n+2) is divisible is (a) 6 (b) 8 (c) 12 (d) 24​

Answer 1

Answer:

24 is the correct answer

Answer 2

Given :  n is an even natural number

Explanation:

n and (n+2) , one of them is divisible by 2 and other by 4

hence (n+2) is divisible by 8

also

n,(n+1) , (n+2) are the three consecutive numbers

one of them is divisible by 3

hence

n, (n+1) , (n+2) must be divisible by 24

for any even number n , n, (n+1) , (n+2) must be divisible by 24

hence option (d)

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