Chinese Remainder Theorem Quiz
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Questions and Answers

According to the Chinese remainder theorem, if we know that the remainder of n divided by 3 is 2, the remainder of n divided by 5 is 3, and the remainder of n divided by 7 is 2, what is the remainder of n divided by 105 (the product of 3, 5, and 7)?

  • 23 (correct)
  • 24
  • 25
  • 26
  • According to the Chinese remainder theorem, if we know that the remainder of n divided by 2 is 1, the remainder of n divided by 3 is 2, and the remainder of n divided by 5 is 4, what is the remainder of n divided by 30 (the product of 2, 3, and 5)?

  • 10
  • 11
  • 9 (correct)
  • 12
  • According to the Chinese remainder theorem, if we know that the remainder of n divided by 2 is 1, the remainder of n divided by 4 is 2, and the remainder of n divided by 6 is 3, what is the remainder of n divided by 12 (the product of 2, 4, and 6)?

  • 12
  • 13
  • 14
  • 11 (correct)
  • According to the Chinese remainder theorem, if we know that the remainder of n divided by 2 is 1, the remainder of n divided by 3 is 2, and the remainder of n divided by 4 is 3, what is the remainder of n divided by 24 (the product of 2, 3, and 4)?

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    According to the Chinese remainder theorem, if we know that the remainder of n divided by 2 is 1, the remainder of n divided by 3 is 2, and the remainder of n divided by 7 is 5, what is the remainder of n divided by 42 (the product of 2, 3, and 7)?

    <p>17</p> Signup and view all the answers

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