Question

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 than $60$ 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 estimations, what is the average of different probable weights of Arun?

• A. $67$ kg
• B. $68$ kg
• C. $69$ kg
• D. $66$ kg

Answer 1

Answer: (A)

$67$ kg

Let his weight is $x$ kg

$65<x<72$ (he thinks)

$60<x<70$ (his brother thinks)

$x<or=68$ (hos mother thinks)

If all of them are correct then,

$65<x<or=68$

So, possible values of $x$ are $66,67,68$ kg.
Average of possible values will be:

$=\frac{66+67+68}{3}$

$=67$ kg