Question

The mean of 6 numbers is 27 and the mean of first 4 numbers is 24. Find the fifth number, given that the sixth number is 30.

• A. 37
• B. 36
• C. 34
• D. 35

Answer 1

The correct option is B

36

Consider x to be the fifth number.

Given, the mean of 6 numbers = 27

$\Rightarrow$ Total sum of digits = 27 x 6 = 162

Also given that, the mean of first 4 numbers = 24

$\Rightarrow$ Sum of first 4 digits = 24 x 4 = 96

Since, the $6^{th}$ number is 30

$\Rightarrow 96+x+30=162$

$\Rightarrow x=162-126=36$