###
**The average of five consecutive numbers is x. If the next two numbers are included, how shall the average vary?
**

A. It shall increase by 1
B. It shall remain the same
C. It shall increase by 1.4
D. It shall increase by 2
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

Let the five consecutive numbers be z, z + 1, z + 3 and z + 4
Then,
$\begin{aligned}&\Rightarrow\frac{z+(z+1)+(z+2)+(z+3)+(z+4)}{5}=x\\
&\Rightarrow5z+10=5x\\
&\Rightarrow z=\frac{5x-10}{5}\\
&\Rightarrow z=x-2\end{aligned}$
So, the numbers are x – 2, x – 1, x, x + 1, x + 2
$\begin{aligned}&\therefore\text{ Required mean }\\
&=\frac{(x-2)+(x-1)+x+(x+1)+(x+2)+(x+3)+(x+4)}{7}\\
&=\frac{7x+7}{7}\\
&=x+1\end{aligned}$

## Related Questions On Average

### Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average19 people went to a hotel for combine dinner party 13 by 8 runs. His new average is:

A. 20B. 21

C. 28

D. 32

### Find the average of all the numbers between 6 and 34 which are divisible by 5.

A. 18B. 20

C. 24

D. 30

### In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 yearsB. 10.5 years

C. 11 years

D. 12 years

### If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = cB. a : b : c = 3 : 2 : 4

C. 4a = 5b = c

D. a + b + c = 12