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In Kiran's opinion, his weight is greater than 65 kg but less than 72 kg. His brother
does not agree with Kiran and he thinks that Kiran'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 are them are correct in their estimation, what is the average of different
probable weights of Kiran?


Options:
A .  70 kg
B .  69 kg
C .  61 kg
D .  67 kg
Answer: Option D

Let Kiran's weight = x. Then
According to Kiran, 65 < x < 72 ------------(equation 1)
According to brother, 60 < x < 70 ------------(equation 2)
According to mother, x≤68 ------------(equation 3)
Given that equation 1,equation 2 and equation 3 are correct. By combining these equations,
we can write as
65<x≤68
That is x = 66 or 67 or 68


average of different probable weights of Kiran = 
66
+
67
+
68
3
=
67



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