Select the option in which the numbers are related in the same way as are the numbers in the given set.
(7, 49, 343)

(7, 49, 343)

Second number = $$(first\ number)^2$$ = $$(7)^2$$ = 49

Third number = $$(first\ number)^3$$ = $$(7)^3$$ = 343

Option (a) (5, 25, 625)

Second number = $$(first\ number)^2$$ = $$(5)^2$$ = 25 

Third number = $$(first\ number)^3$$ = $$(5)^3$$ = 125

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

Option (b) (11, 121, 1321)

Second number = $$(first\ number)^2$$ = $$(11)^2$$ = 121

Third number = $$(first\ number)^3$$ = $$(11)^3$$ = 1331

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

Option (c) (13, 169, 2197)

Second number = $$(first\ number)^2$$ = $$(13)^2$$ = 169

Third number = $$(first\ number)^3$$ = $$(13)^3$$ = 2197

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

Option (d) (3, 9, 29)

Second number = $$(first\ number)^2$$ = $$(3)^2$$ = 9

Third number = $$(first\ number)^3$$ = $$(3)^3$$ = 27

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