show that one and one out of n, n+2 , n+4 is divisible by 3 where n is some integer
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Let a=n,n+2,n+4
by euclid dision lemma
a=bq+r,0<r<b
Here. b=3
The possible remainders are 0,1,2
a=n(or)n+1(or)n+2
The number which divides n+4,then the remainder is same when divides with n+1
#one and only of n(or)n+2(or)n+4 is divisible by3
by euclid dision lemma
a=bq+r,0<r<b
Here. b=3
The possible remainders are 0,1,2
a=n(or)n+1(or)n+2
The number which divides n+4,then the remainder is same when divides with n+1
#one and only of n(or)n+2(or)n+4 is divisible by3
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