In a certain modular arithmetic system, if 7 is congruent to 3 modulo 4, which of the following statements is true?

Practice Questions

1 question
Q1
In a certain modular arithmetic system, if 7 is congruent to 3 modulo 4, which of the following statements is true?
  1. 7 - 3 is divisible by 4
  2. 7 + 3 is divisible by 4
  3. 7 * 3 is divisible by 4
  4. 7 / 3 is divisible by 4

Questions & Step-by-step Solutions

1 item
Q
Q: In a certain modular arithmetic system, if 7 is congruent to 3 modulo 4, which of the following statements is true?
Solution: In modular arithmetic, if a ≡ b (mod m), then (a - b) is divisible by m. Here, 7 - 3 = 4, which is divisible by 4.
Steps: 0

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