A number leaves a remainder of 4 when divided by 6. If this number is multiplied
Practice Questions
Q1
A number leaves a remainder of 4 when divided by 6. If this number is multiplied by 3, what will be the remainder when the result is divided by 6? (2023)
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Questions & Step-by-Step Solutions
A number leaves a remainder of 4 when divided by 6. If this number is multiplied by 3, what will be the remainder when the result is divided by 6? (2023)
Step 1: Understand that the number leaves a remainder of 4 when divided by 6. This means the number can be expressed as 6k + 4, where k is any whole number.
Step 2: Multiply the number (6k + 4) by 3. This gives us 3(6k + 4).
Step 3: Distribute the 3 in the expression: 3(6k) + 3(4) = 18k + 12.
Step 4: Now, we need to find the remainder when 18k + 12 is divided by 6.
Step 5: Notice that 18k is a multiple of 6, so it leaves a remainder of 0 when divided by 6.
Step 6: Next, divide 12 by 6. The result is 2 with a remainder of 0.
