Select the set in which the numbers are related in the same way as are the numbers of the following set.
6, 37, 217

The second number = square of the first number +1 = $$6^2\ +1$$ = 37

the third number = cube of first number +1 = $$6^3\ +1$$ = 217

Option (a) 7, 48, 284

second number = $$7^2\ +1$$ = 50

third number = $$7^3\ +1$$ = 344

Here the given logic is not applicable. So this will not be the correct answer.

Option (b) 5, 26, 124

second number = $$5^2\ +1$$ = 26

third number = $$5^3\ +1$$ = 126

Here the given logic is not applicable. So this will not be the correct answer.

Option (c) 4, 17, 65

second number = $$4^2\ +1$$ = 17

third number = $$4^3\ +1$$ = 65

Here the given logic is applicable. So this will be the correct answer.

Option (d) 10, 100, 1002

second number = $$10^2\ +1$$ = 101

third number = $$10^3\ +1$$ = 1001

Here the given logic is not applicable. So this will not be the correct answer.