### The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.

**A.** 25

**B.** 26

**C.** 27

**D.** 28

## Show Answer

###
Answer-B

Solution-

__Solution(By Apex Team)__

$\begin{array}{l}\text{Excluded number}\\
\text{= (18 × 5) – (16 × 4)}\\
\text{= 90 – 64}\\
\text{= 26}\end{array}$

__Solution(By Apex Team)__

Let Ajit’s average be x for 9 innings. So, Ajit scored 9x run in 9 innings.In the 10

^{th}inning, he scored 100 runs then average became (x+8). And he scored (x + 8) × 10 runs in 10 innings.

Now,

$$\begin{array}{l}\text{Excluded number}\\ \text{= (18 × 5) – (16 × 4)}\\ \text{= 90 – 64}\\ \text{= 26}\end{array}$$