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Let q be the maximum integral value of p in [0, 10] for which the roots of the equation x 2 – px + 4 5 p = 0 are rational. Then the area of the region {(x, y) : 0 < y < (x – q) 2 , 0  x  q } is

1. 3 125
2. 164
3. 243
4. 25

Correct answer: 243

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