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Modulus of a number cannot be negative. A simple idea that somehow escapes our mind every now and then.

## Maximum, Minimum

Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13. Median (a,b,c) - Mean (a,b,c) = 2. Find the median of a, b, and c.
1. 11.5
2. 9
3. 9.5
4. 12

Choice C. 9.5

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## Detailed Solution

The numbers can be arranged in ascending order thus:
Min < Median < Max
,
According to the question,
Min + Max = 13

Median - ${Min + Med + Max \over 3}$ = Median - ${12 + Med \over 3}$ = 2.

Solving, we get Median = 9.5.

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