In Arum’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn’t not agree with him and he thinks that Arum’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, what is the average of different probable weights of Arum?

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69 Kg

68 kg

Data inadequate

67 kg

answer is A.

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Detailed Solution

In Arums openion the weight must be in $(65, 72)$

His brother openion the weight must be $(60, 70)$

His mother openion the weight must be $\leq 68$

If all the above openions are correct, the possible ages are $66, 67, 68$

The average of the above three numbers is $67 y e a r s$

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