Select the right option from the given alternatives 24 : 50 :: 102 : ?

Concept: In this number analogy series, the second term is produced from the first by applying a fixed two-step operation - add 1 to the number, then multiply the result by 2.

1. Apply the rule to the first pair: 24 + 1 = 25.

2. Multiply by 2: 25 x 2 = 50, which matches the given second term and confirms the rule.

3. Apply the same rule to 102: 102 + 1 = 103.

4. Multiply by 2: 103 x 2 = 206.

Cross-check: Reversing the operation on 206 - divide by 2 to get 103, then subtract 1 to get 102 - returns the original number, confirming the pattern holds consistently for both pairs.

Therefore, 206 is the number that completes the analogy.