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?Options9997979397997
Question
Solution 1
The greatest 4-digit number is 9999.
Step 1: We need to find a number that when divided by 6, 9, 12, and 17 leaves a remainder of 1.
Step 2: The least common multiple (LCM) of 6, 9, 12, and 17 is 1224.
Step 3: Divide 9999 by 1224, which equals 8 remainder 111.
Step 4: Subtract the remainder Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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