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 estimation, then what is the average of the different probable weights of Arun?

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67 Kg,

68 kg,

69 kg,

Data Inadequate,

answer is A.

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Detailed Solution

Concept-Start solving the problem by writing down Arun's weight interval using the opinions of him, his brother, and his mother. Then find an interval that is common to all the intervals you find. Then use a common interval to find possible weights. Then find the average of the estimated weights obtained using the definition of mathematical mean.
Arun's Opinion

His brother’s opinion

According to his mother

So, possible weights are

Average age

Hence, the correct option is 1.

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