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Multiple choice

What is the largest 3-digit number which when divided by 6 leaves a remainder 1 and when divided by 7 leaves a remainder 2?

  1. 961

  2. 924

  3. 987

  4. None of these

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

Number n = 6k + 1 = 7m + 2. Testing 961: 961/6 = 160 R 1 (True). 961/7 = 137 R 2 (True). This is the largest 3-digit number satisfying the conditions.

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