Correct Answer - Option 1 : 2

**Given:**

x be the least number between 1400 and 1800

**Concept used:**

Required number = (LCM of 5, 6, 8, 9 and 12) + 3

**Calculation:**

Factor of 5 = 1 × 5

⇒ Factor of 6 = 2 × 3

⇒ Factor of 8 = 2 × 2 × 2

⇒ Factor of 9 = 3 × 3

⇒ Factor of 12 = 2 × 2 × 3

⇒ LCM of 5, 6, 8, 9 and 12 = 2 × 2 × 2 × 3 × 3 × 5 = 360

x be the least number between 1400 and 1800 so,

number x = 360 × 4 + 3 = 1443

When number x is divided by 11 remainder is = 1443/11 = 2

**∴ number x is divided by 11 remainder is 2.**