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Multiple choice

What is the greatest number of 4 digits that which when divided by any of the numbers 6, 9, 12 and 17 leaves a remainder of 1?

  1. 9997

  2. 9793

  3. 9895

  4. 9487

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

LCM(6, 9, 12, 17) = LCM(36, 17) = 612. Largest 4-digit number is 9999. 9999 / 612 = 16 with remainder 207. 9999 - 207 = 9792. Adding the remainder 1 gives 9793.

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