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If a number is divided by 6, the remainder is 4. What is the number?

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Question: If a number is divided by 6, the remainder is 4. What is the number?

Options:

  1. 10
  2. 16
  3. 22
  4. 28

Correct Answer: 16

Solution: 

A number that gives a remainder of 4 when divided by 6 can be expressed as 6k + 4. For k = 2, the number is 6*2 + 4 = 16.

If a number is divided by 6, the remainder is 4. What is the number?

Practice Questions

Q1
If a number is divided by 6, the remainder is 4. What is the number?
  1. 10
  2. 16
  3. 22
  4. 28

Questions & Step-by-Step Solutions

If a number is divided by 6, the remainder is 4. What is the number?
Correct Answer: 16
  • Step 1: Understand that when a number is divided by 6, it can be written in the form of 6k + r, where k is a whole number and r is the remainder.
  • Step 2: Since the remainder is 4, we can write the number as 6k + 4.
  • Step 3: Choose a value for k. For example, let k = 0. Then the number is 6*0 + 4 = 4.
  • Step 4: Now try k = 1. The number is 6*1 + 4 = 10.
  • Step 5: Next, try k = 2. The number is 6*2 + 4 = 16.
  • Step 6: You can keep increasing k to find more numbers that fit this condition, like k = 3 gives 22, k = 4 gives 28, and so on.
  • Modular Arithmetic – Understanding how remainders work when dividing numbers.
  • Algebraic Expression – Using the expression 6k + 4 to represent numbers based on a given condition.
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