Multiple choice

Which is the lowest number which when divided by 12 15 and 20 leaves a remainder of 7 ?

  1. 31

  2. 37

  3. 47

  4. 67

  5. 127
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D Correct answer
Explanation

Find the LCM of 12, 15, 20. LCM(12, 15, 20) = 60. The number is of the form 60k + 7. For k=1, the number is 67.

AI explanation

To find the lowest number, first calculate the LCM of the divisors 12, 15, and 20. The LCM is 60, and because each division leaves a remainder of 7, we add 7 to this LCM. Computing 60 + 7 gives 67. The result is 67.

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