Multiple choice

A number, when divided by 15 and 18 every time, leaves 3 as a remainder, the least possible number is:

  1. 83

  2. 103

  3. 39

  4. 93
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D Correct answer
Explanation

LCM of 15 and 18 = 90. Number = LCM + Remainder = 90 + 3 = 93.

AI explanation

The number leaves a remainder of 3 when divided by both 15 and 18, so subtracting 3 from the number gives a value perfectly divisible by both 15 and 18. The least common multiple of 15 and 18 is calculated as 90. Adding the remainder of 3 back to this least common multiple gives 90 + 3 = 93. The result is 93.

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