Select the option in which the numbers are related in the same way as the numbers in the given set.

144, 36, 9

Given: 144, 36, 9

Logic: Each number is obtained by dividing the previous number by 4.

144 ÷ 4 = 36
36 ÷ 4 = 9

Let's check all the options:

Option (a): (400, 100, 25)  (Matches the pattern)
400 ÷ 4 =100,100 ÷ 4 = 25
Option (b): (24, 12, 6)  (Does not match)
24 ÷ 2 = 12, 12 ÷ 2 = 6
Option (c): (64, 8, 4) (Does not match)
64 ÷ 8 = 8, 8 ÷ 2 =4
Option (d): (27, 9, 3)
27 ÷ 3 = 9, 9 ÷ 3 = 3 (Does not match)
Thus, the correct option is (a)  (400, 100, 25).