Explanation:

Let’s break it down step by step:

- Take a look at the series: 11, 12, 36, 41, ?, 296.

- First, check the jumps between the numbers:

- 11 to 12: +1

- 12 to 36: +24

- 36 to 41: +5

- The jumps are: +1, +24, +5, then to ?, then to 296.

- Now look for a pattern. Are we alternating, multiplying, or what?

- Let's check the difference between 41 and 296: that’s 255.

- Say the missing number is x. 296 - x = ? But what jump would that be?

Now let’s see if the pattern alternates:

- Notice a pattern like: add 1, multiply by 3, add 5, multiply by ?, add ?, multiply?

- Let's test:

- 11 + 1 = 12

- 12 × 3 = 36

- 36 + 5 = 41

- 41 × 5 = 205 ? this fits!

- 205 + 91 = 296 (since 205 + 91 = 296)

So, the correct pattern is: +1, ×3, +5, ×5, +91.

Check which value fits after 41, with the ×5 pattern.

- 41 × 5 = 205.

Now let's match to your options:

- Option 1: 205

- Option 2: 287

- Option 3: 48

- Option 4: 123

The answer is 205.

(since you picked 287, but the sequence works with 205).

So, the correct answer is:

Option 1: 205