If x ≡ 4 (mod 6), which of the following could be a possible value of x?

Practice Questions

Q1
If x ≡ 4 (mod 6), which of the following could be a possible value of x?
  1. 10
  2. 8
  3. 2
  4. 12

Questions & Step-by-Step Solutions

If x ≡ 4 (mod 6), which of the following could be a possible value of x?
  • Step 1: Understand what 'x ≡ 4 (mod 6)' means. This means that when x is divided by 6, the remainder is 4.
  • Step 2: Write down the possible values of x that give a remainder of 4 when divided by 6. These values can be found by starting from 4 and adding multiples of 6: 4, 10, 16, 22, etc.
  • Step 3: Check if 10 is one of the values we found. Since 10 is in the list (4 + 6 = 10), it is a possible value for x.
  • Step 4: Conclude that x could be 10 because it satisfies the condition of having a remainder of 4 when divided by 6.
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