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If a number leaves a remainder of 4 when divided by 8, which of the following nu

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Question: If a number leaves a remainder of 4 when divided by 8, which of the following numbers will leave a remainder of 4 when divided by 8? (2023)

Options:

  1. 12
  2. 20
  3. 28
  4. 36

Correct Answer: 12

Exam Year: 2023

Solution: 

12 divided by 8 gives a remainder of 4 (12-8=4).

If a number leaves a remainder of 4 when divided by 8, which of the following nu

Practice Questions

Q1
If a number leaves a remainder of 4 when divided by 8, which of the following numbers will leave a remainder of 4 when divided by 8? (2023)
  1. 12
  2. 20
  3. 28
  4. 36

Questions & Step-by-Step Solutions

If a number leaves a remainder of 4 when divided by 8, which of the following numbers will leave a remainder of 4 when divided by 8? (2023)
  • Step 1: Understand the problem. We need to find numbers that leave a remainder of 4 when divided by 8.
  • Step 2: Recall what it means to leave a remainder. If a number 'x' leaves a remainder of 4 when divided by 8, it can be expressed as x = 8k + 4, where k is an integer (0, 1, 2, ...).
  • Step 3: Check the example given: 12 divided by 8. When you divide 12 by 8, you get 1 with a remainder of 4 (because 12 - 8 = 4).
  • Step 4: To find other numbers that leave a remainder of 4 when divided by 8, you can add multiples of 8 to 4. For example: 4, 12, 20, 28, etc.
  • Step 5: Verify if other numbers leave a remainder of 4 by dividing them by 8 and checking the remainder.
  • Modular Arithmetic – Understanding how remainders work when dividing numbers, specifically focusing on the concept of congruences.
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