Multiple choice

Find the smallest number which when divided by 10, 12, 15, 20 leaves remainder 4 in each case.

  1. 64

  2. 100

  3. 75

  4. 40
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Find the LCM of 10, 12, 15, 20. LCM(10, 12, 15, 20) = 60. The number is of the form 60k + 4. For k=1, the number is 64.

AI explanation

First find the least common multiple of 10, 12, 15 and 20, which is 60. Since the required number leaves a remainder of 4 in each case, add 4 to this LCM. The required smallest number is 60 + 4 = 64.

Keep practicing — related questions