Select the option in which the numbers are related in the same way as are the numbers in the following sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(18, 36, 72)
(16, 32, 64)

(18, 36, 72)

Second number = $$2\times$$ first number = $$2\times18$$ = 36

Third number = $$2\times$$ Second number = $$2\times36$$ = 72

(16, 32, 64)

Second number = $$2\times$$ first number = $$2\times16$$ = 32

Third number = $$2\times$$ Second number = $$2\times32$$ = 64

Option (a) (24, 48, 96)

Second number = $$2\times$$ first number = $$2\times24$$ = 48

Third number = $$2\times$$ Second number = $$2\times48$$ = 96

The above given logic is applicable here. So this is the correct answer.

Option (b) (32, 96, 128)

Second number = $$2\times$$ first number = $$2\times32$$ = 64

Third number = $$2\times$$ Second number = $$2\times64$$ = 128

The above given logic is not applicable here. So this is not the correct answer.

Option (c) (14, 28, 54)

Second number = $$2\times$$ first number = $$2\times14$$ = 28

Third number = $$2\times$$ Second number = $$2\times28$$ = 56

The above given logic is not applicable here. So this is not the correct answer.

Option (d) (38, 76, 162)

Second number = $$2\times$$ first number = $$2\times38$$ = 76

Third number = $$2\times$$ Second number = $$2\times76$$ = 152

 The above given logic is not applicable here. So this is not the correct answer.