In Varun’s opinion, his weight is greater than 65 kg but less than 72 kg. His father does not agree with Varun, and he thinks that Varun’s weight is greater than 60 kg but less than 70 kg. His sister’s view is that his weight cannot be greater than 68 kg. If all are correct in their estimation, what is the average of the different possible weights of Varun?

In Varun's opinion, his weight is greater than 65 kg but less than 72 kg. His father does not agree with Varun, and he thinks that Varun's weight is greater than 60 kg but less than 70 kg.
QuestionIn Varun’s opinion, his weight is greater than 65 kg but less than 72 kg. His father does not agree with Varun, and he thinks that Varun’s weight is greater than 60 kg but less than 70 kg. His sister’s view is that his weight cannot be greater than 68 kg. If all are correct in their estimation, what is the average of the different possible weights of Varun?
Typemultiple_choice
Option60incorrect
Option65incorrect
Option67correct
Option54incorrect
SolutionLet Arun’s weight by X kg.
According to Varun: 65 <<X < 72
According to Varun’s father: 60 < X < 70.
According to Varun’s sister: X <= 68
The different possible weights of Varun or the values that satisfy all the above conditions are 66, 67 and 68.
So, the Average of different possible weights of Varun = (66+67+68) / 3
= 201/3
= 67 kg.
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