###
**The average of ten numbers is 7. If each number is multiplied by 12, then the average of the new set of numbers is :
**

A. 7
B. 19
C. 82
D. 84
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

Average of 10 numbers = 7
Sum of these 10 numbers = (10 × 7) = 70
$\begin{aligned}&\therefore x_1+x_2+\ldots\ldots+x_{10}=70\\
&\Rightarrow12x_1+12x_2+\ldots\ldots+12x_{10}=840\\
&\Rightarrow\frac{12x_1+12x_2+\ldots\ldots+12x_{10}}{10}=84\\
&\text{⇒ Average of new numbers is 84}\end{aligned}$

## 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

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### 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