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In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest 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
Correct answer is option 'A'. Can you explain this answer?
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In Arun's opinion, his weight is greater than 65 kg but less than ...
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In Arun's opinion, his weight is greater than 65 kg but less than ...
Given Information:
- Arun's opinion: weight > 65 kg but < 72="" />
- Brother's opinion: weight > 60 kg but < 70="" />
- Mother's opinion: weight ≤ 68 kg

Analysis:
To find the range of Arun's weight that satisfies all three opinions, we need to find the common range of the given intervals. Let's analyze each opinion separately:

1. Arun's opinion: weight > 65 kg but < 72="" />
- This means Arun's weight can be any value greater than 65 kg and less than 72 kg.

2. Brother's opinion: weight > 60 kg but < 70="" />
- This means Arun's weight can be any value greater than 60 kg and less than 70 kg.

3. Mother's opinion: weight ≤ 68 kg
- This means Arun's weight can be any value less than or equal to 68 kg.

Finding the Common Range:
To find the common range, we need to consider the overlapping intervals from the given opinions:

- The maximum lower bound from all opinions is 65 kg (Arun's opinion).
- The minimum upper bound from all opinions is 68 kg (Mother's opinion).

Therefore, the common range of Arun's weight is 65 kg to 68 kg, inclusive.

Calculating the Average:
To find the average of the different probable weights of Arun, we add the lower bound and upper bound of the common range and divide by 2:

Average = (65 kg + 68 kg) / 2 = 133 kg / 2 = 66.5 kg

Conclusion:
The average of the different probable weights of Arun is 66.5 kg.
Therefore, option A (67 kg) is the correct answer.
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In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest 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 kgb)68 kgc)69 kgd)data inadequateCorrect answer is option 'A'. Can you explain this answer?
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