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.