Question

Choose the right answers from the options given for each of the following questions.
If the average of the numbers 33, 34, 35, x , 37, 38, 39 is 36, what is the value of x ?
(i) 40
(ii) 32
(iii) 42
(iv) 36

Answer 1

Average = 36
$$\begin{gathered} \Rightarrow \frac{33+34+35+x+37+38+39}{7}=36 \\ \Rightarrow \frac{216+x}{7}=36 \\ \Rightarrow 216+x=252 \\ \Rightarrow x=36 \end{gathered}$$
Hence, the correct answer is option (iv).