Question

What is the least natural number that should be added to 1135 so that the sum is completely divisible by 3, 4, 5, and 6?

• A. 3
• B. 4
• C. 2
• D. 5

Answer 1

Answer:

D. 5

Solution: Given: The given number is 1135. The numbers by which the sum should be divisible are 3, 4, 5, & 6. Concept used: The least number to be added should make the number a multiple of the Least Common Multiple (LCM). Calculation: ⇒ The LCM of 3, 4, 5, & 6 is 60. ⇒ The remainder when 1135 is divided by 60 is 55. ⇒ The required number is 60 - 55 = 5 ∴ 5 should be added to 1135 to make it exactly divisible by 3, 4, 5, and 6.