The average of 26,29,n,35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers then the value of n is :

A 33

B 34

C 39

D 15

Correct Answer: Option A

Average of 26,29,35 and 43 is 33.25 . Also the average of 26 , 29, n, 35 and 43 lies between 25 and 35 i.e,

\(25<\frac{26+29+n+35+43}5<35\)

=> 125 < 26+29+n+35+43 < 175

=> 125 < 133 + n < 175

=> n < 42

Since the value of n is an integer and greater than 33.25 then 33 < n < 42 for every integer n.