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If a number leaves a remainder of 4 when divided by 12, which of the following n

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Question: If a number leaves a remainder of 4 when divided by 12, which of the following numbers will also leave the same remainder when divided by 12? (2023)

Options:

  1. 16
  2. 20
  3. 24
  4. 28

Correct Answer: 16

Exam Year: 2023

Solution: 

16 divided by 12 gives a remainder of 4 (16-12=4).

If a number leaves a remainder of 4 when divided by 12, which of the following n

Practice Questions

Q1
If a number leaves a remainder of 4 when divided by 12, which of the following numbers will also leave the same remainder when divided by 12? (2023)
  1. 16
  2. 20
  3. 24
  4. 28

Questions & Step-by-Step Solutions

If a number leaves a remainder of 4 when divided by 12, which of the following numbers will also leave the same remainder when divided by 12? (2023)
  • Step 1: Understand what it means for a number to leave a remainder of 4 when divided by 12. This means that when you divide the number by 12, the leftover part after the division is 4.
  • Step 2: Write the general form of such a number. If a number leaves a remainder of 4 when divided by 12, it can be expressed as: number = 12k + 4, where k is any whole number (0, 1, 2, ...).
  • Step 3: Check the number 16. Divide 16 by 12. 16 divided by 12 equals 1 with a remainder of 4 (because 16 - 12 = 4).
  • Step 4: Since 16 can be expressed in the form of 12k + 4 (where k = 1), it leaves a remainder of 4 when divided by 12.
  • Step 5: To find other numbers that leave the same remainder, you can add multiples of 12 to 4 (like 4, 16, 28, etc.) and check if they also leave a remainder of 4 when divided by 12.
  • Modular Arithmetic – Understanding how remainders work when dividing numbers, specifically focusing on the concept of congruences.
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