Question

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 < n < 47
• B. 34 < n < 43
• C. 33 < n < 42
• D. none of these

Answer 1

The correct option is C

33 < n < 42

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.,
$25<\frac{26+29+n+35+43}{5}<35$
$\Rightarrow$ 125 < 26 + 29 + n + 35 + 43 < 175
$\Rightarrow$ 125 < 133 + n < 175
$\Rightarrow$ n < 42
Since the value of n is an integer and greater than 33.25 then 33 < n < 42; for every integer n.