Select the set in which the numbers are related in the same way as are the numbers of the following set.
(4, 9, 37)

Second number = first number $$\times$$2 + 1

Third number = second number $$\times$$4 + 1

(4, 9, 37) ==> Second number = 4$$\times$$2 + 1 = 9, Third number = 9$$\times$$4+1 = 37

Option (a) (5, 12, 46)

Second number = 5$$\times$$2 + 1 = 10+1 = 11

Third number = 12$$\times$$4+1 = 48+1 = 49

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

Option (b) (7, 15, 62)

Second number = 7$$\times$$2 + 1 = 14+1 = 15

Third number = 15$$\times$$4+1 = 60+1 = 61

The above given logic is not applicable in the third number. So this is not the correct answer.

Option (c) (6, 13, 51)

Second number = 6$$\times$$2 + 1 = 12+1 = 13

Third number = 13$$\times$$4+1 = 52+1 = 53

The above given logic is not applicable in the third number. So this is not the correct answer.

Option (d) (9, 19, 77)

Second number = 9$$\times$$2 + 1 = 18+1 = 19

Third number = 19$$\times$$4+1 = 76+1 = 77

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