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
- B
- C
- D
Solution & Step-by-step Explanation
Let be Karthik's weight in kg. Assuming his weight values are integers, let's list down the intervals according to each statement:
1. According to Karthik:
2. According to his Father:
3. According to his Sister:
Since all estimations are correct, we find the common intersection satisfying all three conditions:
The possible integer values for Karthik's weight are:
Now, let's calculate the average of these possible weights:
1. According to Karthik:
2. According to his Father:
3. According to his Sister:
Since all estimations are correct, we find the common intersection satisfying all three conditions:
The possible integer values for Karthik's weight are:
Now, let's calculate the average of these possible weights: