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Quantitative Aptitude :: Averages Problems And Answers

16. In Madan's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Madan and he thinks that Madan'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 Madan?
A. 68 kg B. 69 kg
C. 67 kg D. 70 kg
Answer & Explanation

Answer: Option C

Explanation:
Let Madan's weight = x. Then
According to Madan, 65 According to brother, 60 According to mother, x ≤ 68 ----(equation 3)
Given that equation 1,equation 2 and equation 3 are correct. By combining these equations,we can write as
65 i.e., x = 66 or 67 or 68
Average of different probable weights of Madan = (66+67+68)/3 = 67
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