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

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

• A. 9997
• B. 9793
• C. 9895
• D. 9487

 

The correct answer is option B. 9793. Can you explain this answer in the comments?

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