CAT 2022 Slot 1 QA Question & Solution
ArithmeticEasy
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
Options
3
4
5
1
Solution
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
The answer is option C.