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

  1. A
    59
  2. B
    58
  3. C
    57
  4. D
    60

Solution & Step-by-step Explanation

Let be Karthik's weight in kg (assumed to be integer values).
* According to Karthik:
* According to his father:
* According to his sister:
Taking the intersection of all three conditions:



The possible integer values for are , , and .
The average of these possible weights is:

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In Karthik's opinion, his weight is greater than but less than . His father does not agree with Karthik, and he thinks that Karthik's weight is greater than but less than . His sister's view is that his weight cannot be greater than . If all are correct in their estimation, what is the average of the different possible weights of Karthik?
A
59
B
58
C
57
D
60

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