CAT 2022 Set-1 | Quantitative Aptitude | Question: 3

Question

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

• A. $5$
• B. $1$
• C. $3$
• D. $4$

Answer 1

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