Correct Answer - Option 3 : 62

**Given:**

Average of 15 consecutive whole numbers = 55

**Concepts used:**

Average = Sum of observations/Number of observations

**Calculation:**

Let first positive consecutive whole number be x.

⇒ Sum of 15 consecutive whole numbers = x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) + (x + 7) + (x + 8) + (x + 9) + (x + 10) + (x + 11) + (x + 12) + (x + 13) + (x + 14) ⇒ Sum of 15 consecutive whole numbers = 15x + 105

Average of 15 consecutive positive whole numbers = (15x + 105)/15

⇒ 55 = (15x + 105)/15

⇒ 55 × 15 = 15x + 105

⇒ 825 – 105 = 15x

⇒ 15x = 720

⇒ x = 720/15 = 48

⇒ Largest positive whole number = x + 14 = 48 + 14 = 62

**∴ Largest positive whole number is 62.**