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The average of three integers is $13$. When a natural number $n$ is included, the average of these four integers remains an odd integer. The minimum possible value of $n$ is

1. $5$
2. $1$
3. $3$
4. $4$

given

(a+b+c)/3 =13

therefore a+b+c=39 (i)

given (a+b+c+N)/4 = odd

=>( 39+N)/4 = odd

if N= 5 then only average of 4 number is odd
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