Question

Which number from the option will replace the question mark (?) in the following series ?

7, 11, 35, 67, 203, ?

1. 611
2. 409
3. 608
4. 403

Answer 1

Correct Answer - Option 4 : 403

The logic follows here is : 

Given series : 7, 11, 35, 67, 203, ?

7 (1st number)

(7 - 2) x 2 + (1)³ = 11 (2nd number)

(11 - 2)  x 3 + (2)³ = 35 (3rd number)

(35 - 2)  x 2 + (1)³ = 67 (4th number)

(67 - 2)  x 3 + (2)³ = 203 (5th number)

(203 - 2)  x 2 + (1)³ = 403 (final number)

Hence, the correct answer is "403".