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
Answer
Correct Answer : c ) 5
Explanation :It is given that the average of three integers is 13.
Let us say the integers are x, y and x
Average of x, y and z = (x + y + z)/3
13 = (x + y + z)/3
x + y + z = 39
Now, a natural number n is added and the new average is an odd number.
Sum of 4 numbers = 39 + n
New Average = (39 + n)/4
Now for (39 + n)/4 to be an odd number, n should be 5, 13, 21,......
The minimum value of n will be 5, to make the new average an odd number.
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