Multiple choice

The smallest number which when divided by 4, 6, 10, 15 gives the same remainder 3 is

  1. 57

  2. 123

  3. 63

  4. 39
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The number is LCM(4, 6, 10, 15) + 3. LCM(4, 6, 10, 15) = 60. 60 + 3 = 63.

AI explanation

Since the same remainder of 3 is left in each case, the required number must be a common multiple of 4, 6, 10 and 15, plus 3. The least common multiple of 4, 6, 10 and 15 is 60. Adding the remainder of 3 gives 63.

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