According to Raghav, his weight is more than 64 kg but less than 74 kg. His sister does not agree with Raghav and she thinks that his weight is more than 60 kg but less than 69 kg. His mother's view is that his weight cannot be more than 68 kg. His father's view is that his weight cannot be more than 67 kg. If all are them are correct in their estimation, then what is the average of different probable weights of Raghav measured (in kg)?
This questions was previously asked in
Combined Graduate Level Examination Tier I 2023
Explanation:
Let's break down each person's statement:
- Raghav: His weight is more than 64 kg and less than 74 kg. So, 65 to 73 kg (since weight is in whole kg).
- Sister: His weight is more than 60 kg and less than 69 kg. So, 61 to 68 kg.
- Mother: His weight cannot be more than 68 kg. So, at most 68 kg.
- Father: His weight cannot be more than 67 kg. So, at most 67 kg.
Intersection of all ranges:
- Raghav: 65 to 73 kg
- Sister: max 68 kg
- Mother: max 68 kg
- Father: max 67 kg
Final possible weights = 65, 66, 67 kg
Average = (65 + 66 + 67)/3 = 66 kg
Options:
- Option 1: 66
- Option 2: 67
- Option 3: 68
- Option 4: 65
Correct Answer: Option 1, 66
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By: Parvesh Mehta