cat 2022 Question 7

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

Accepted Answer

It is given that average of three numbers is 13.

Sum = $3 * 13 = 39$

It is given, $\frac{39 + n}{4}$ is a odd number.

Minimum value $\frac{39 + n}{4}$ can take such that n is a natural number is 11

$\frac{39 + n}{4} = 11$

n = 5

Question 7.

Question Explanation