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Question

In Arun's opinion, his weight is greater than 65kg 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
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B
68 kg
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C
69 kg
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D
66 kg
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Solution

The correct option is B 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:
=66+67+683
=67 kg

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