Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
6 : 150 :: 4 : 36 :: 5 : ?

Given: 6 : 150 :: 4 : 36 :: 5 : ?

Logic: Multiply the first number by the square of its predecessorto get the second number.​​​

6 : 150 $$\rightarrow$$ 6 $$\times$$ (6 - 1)$$^2$$ = 6 $$\times$$ (5)$$^2$$​ = 6 $$\times$$ 25 = 150

4 : 36 $$\rightarrow$$​ 4 $$\times$$​ (4 - 1)$$^2$$​ = 4 $$\times$$​ (3)$$^2$$​ = 4 $$\times$$​ 9 = 36

So, the correct answer is (a).