In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His…
2024
In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn't not agree with Arun and he thinks that Arun'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 Arun?
- A.
67 kg.
- B.
68 kg.
- C.
69 kg.
- D.
Data inadequate
Attempted by 900 students.
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Correct answer: A
Key insight: convert each person's statement to a numeric range and find their intersection.
Let Arun's weight be X kg.
From Arun: 65 < X < 72
From his brother: 60 < X < 70
From his mother: X ≤ 68
Intersecting these ranges (considering integer kilogram values) gives the possible weights: 66, 67, 68.
Compute the average: (66 + 67 + 68) / 3 = 201 / 3 = 67 kg.