In Prasanna's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Prasanna and he thinks that Prasanna'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 Prasanna?  Choices:
A) 67 kg
B) 68 kg
C) 66.5 kg
D) 69 kg
E) NOne
Sol.   Let Prasanna's weight be X kg.   According to Prasanna, 65 &lt; X &lt; 72.   According to Prasanna's brother, 60 &lt; X &lt; 70.   According to Prasanna's mother, X &lt; 68.   The value satisfying all the above conditions are 66 and 67.   ∴ Required average = [ 66 + 67 / 2 ] = [133 / 2= 
<gadget id="calculator">133 / 2</gadget>
<output>133/2 = around 66.5</output>
66.5 kg.   Answer 66.5 kg
<result>C</result>
In Prasanna's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Prasanna and he thinks that Prasanna'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 Prasanna?