###
**In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun’s weight is greater is that 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?
**

A. 67 kg
B. 68 kg
C. 69 kg
D. Data inadequate
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

Let Arun’s weight be X kg.
According to Arun,
65 < X < 72
According to Arun’s brother,
60 < X < 70
According to Arun’s mother,
X ≯ 68 i.e. X ⩽ 68
The values satisfying all the above conditions are 66, 67 and 68
∴ Required average
$\begin{array}{l}=\left(\Large\frac{66+67+68}{3}\right)\mathrm{kg}\\
=\left(\Large\frac{201}{3}\right)\mathrm{kg}\\
=67\mathrm{~kg}\end{array}$

## 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