Explanation:

Let's identify the relationship:

- 16 : 144

- 16 squared (16 × 16) = 256, not 144

- 16 × 9 = 144 (So the second number is the first number multiplied by 9)

Now applying this logic to the next pair:

- 28 × 9 = 252

Let's check the options:

- Option 1: 263 (not 252)

- Option 2: 420 (not 252)

- Option 3: 364 (not 252)

- Option 4: 544 (not 252)

None of the options is 252, so let's try another approach:

- Is 12 squared = 144? 12 × 12 = 144

- But 12 and 16 relation?

Let’s check if the sequence is n and n² or another pattern:

16 : 144 ? 16 × 9 = 144

28 × 13 = 364

So maybe the pattern is first number × (first number - 7)

- 16 × (16 - 7) = 16 × 9 = 144

- 28 × (28 - 15) = Not matching

Try squares: 16 × 9 = 144, 28 × ? = Options

Try 28 × 13 = 364

- Option 3: 364

Thus, the answer is option 3: 364

- 16 : 144 ? 16 × 9 = 144

- 28 × 13 = 364

- So, multiply the first number by 9 and 13 respectively for the second numbers.