x2 + (p+q)x + 150 = 0, m and n are two roots of equation(both are positive natural numbers) and m2+n2 = 325.  Also the ratio of p and q is 2 : 3.

Then which of the equations are true:

(I) (m + n)2 = 6q

(II) pq = mn

(III) (m + n) = -(p + q)

1
Only equation I is true.
2
Only equation II and III are true.
3
Both equation I and II are true.
4
Both equation I and II are false.
5
Only equation I and III are true.

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