**Correct option ****(d) h**_{1} = h_{2}/3 = h_{3}/5

**Explanation:**

Distance covered by the stone in first 5 seconds

(i.e. t = 5 s) is

h_{1} = 1/2g(5)^{2} = 25/2g

Distance travelled by the stone in next 5 seconds

(i.e. t = 10 s) is

h_{1} + h_{2} = 1/2g(10)^{2} = 100/g

Distance travelled by the stone in next 5 seconds

(i.e. t = 15 s) is

From (i), (iv) and (v), we get

h_{1} = h_{2}/3 = h_{3}/5