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CBSE Class 10 Answered

Show that one and only out of n, n+2(or)n+4 is divisible by 3 ,where n is any postive integer  
Asked by Rupu | 30 Jan, 2018, 02:02: PM
answered-by-expert Expert Answer

n can be odd or even

if n is odd n=1,3,5,7,.......

n is even then n=0,2,4,6,.....

now if n is divisible by 3

then n should be 0,3,6,9,.......

so if n is divisible by 3 then n+2 or n+4 won't be divisible 

and vice versa

Answered by Arun | 30 Jan, 2018, 07:19: PM
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