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If the median of x5,x,x4,x2\frac{x}{5}, x, \frac{x}{4}, \frac{x}{2} and x3\frac{x}{3} (where x>0x > 0) is 8, then the value of xx will be

Solution

Correct Option: 1

Since x>0x > 0, arranging in ascending order: x5,x4,x3,x2,x\frac{x}{5}, \frac{x}{4}, \frac{x}{3}, \frac{x}{2}, x.

Median (3rd term) = x3=8\frac{x}{3} = 8, so x=24x = 24.

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