coordinate geometry.

(5,p) is the mid point of the line joining (3p,4) and (-2,2q)

Using the section formula for division into a ratio of 1:1, we get

5 = (3p + (-2))/ 2

5 = (3p-2)/ 2

⇒ p = 4

And p = (4 + 2q)/2

p = 2 + q

⇒ q = 2

Hence the answer.