Explanation:

Let’s break this down clearly:

- You’re given the series: 1, 226, 482, 771, 1095, 1456, and then you start a new series from 12: 12, A, B, C, D, E.

- The trick is to figure out the pattern in the original sequence and apply that pattern to the new one.

Here’s how the sequence grows:

- 226 - 1 = 225

- 482 - 226 = 256

- 771 - 482 = 289

- 1095 - 771 = 324

- 1456 - 1095 = 361

Spot anything? Those are all perfect squares:

- 15² = 225

- 16² = 256

- 17² = 289

- 18² = 324

- 19² = 361

So each new number = previous number + (next perfect square, starting from 15² up).

Let’s use this logic with 12:

- Start: 12

- A: 12 + 225 = 237

- B: 237 + 256 = 493

- C: 493 + 289 = 782

- D: 782 + 324 = 1106

- E: 1106 + 361 = 1467

So E is 1467.

Now, let’s check your answer:

You picked option 3 – 1467.

.

Option breakdown:

- 1235 – not matching the pattern.

- 1465 – not matching (lines up with 19 squared off by two, but not here).

- 1467 – BINGO, this matches exactly!

- 1764 – that’s 42², not relevant here.

- 1567 – seems random.

What this really means is: just add the right squares in order, and you found the pattern perfectly. Nice job!