If a number is congruent to 0 modulo 6, which of the following could be a possib

Practice Questions

Q1
If a number is congruent to 0 modulo 6, which of the following could be a possible value?
  1. 7
  2. 12
  3. 13
  4. 14

Questions & Step-by-Step Solutions

If a number is congruent to 0 modulo 6, which of the following could be a possible value?
  • Step 1: Understand what 'congruent to 0 modulo 6' means. It means that when you divide the number by 6, there is no remainder.
  • Step 2: Identify what it means to be a multiple of 6. A multiple of 6 is any number that can be expressed as 6 times an integer (like 6, 12, 18, etc.).
  • Step 3: Check if the number 12 is a multiple of 6. Since 12 divided by 6 equals 2 with no remainder, 12 is indeed a multiple of 6.
  • Step 4: Conclude that since 12 is a multiple of 6, it is a possible value for a number that is congruent to 0 modulo 6.
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