Answer: D.

Explanation:
Given : q workers can paint a house in d days.
Let
be the number of days taken by q+2 workers to paint the same house.
Since there is inverse relationship between the number of workers and the number of days to do same work ( condition - all workers paints at the same rate), as the number of workers increases the number of days to complete it decreases.
Equation of inverse variation between x and y :

Substitute ,
and
, we get

Therefore , the number of days it will take q+2 workers to paint the same house =

Hence, the correct answer is : D.
