A certain number when divided by 15 gives a remainder of 8. If this number is mu
Practice Questions
Q1
A certain number when divided by 15 gives a remainder of 8. If this number is multiplied by 2, what will be the remainder when the new number is divided by 15? (2023)
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Questions & Step-by-Step Solutions
A certain number when divided by 15 gives a remainder of 8. If this number is multiplied by 2, what will be the remainder when the new number is divided by 15? (2023)
Step 1: Understand that when a number is divided by 15 and gives a remainder of 8, it can be written as: original number = 15k + 8, where k is some integer.
Step 2: Multiply the original number by 2: new number = 2 * (15k + 8).
Step 3: Distribute the 2: new number = 30k + 16.
Step 4: Now, we need to find the remainder when the new number (30k + 16) is divided by 15.
Step 5: Since 30k is divisible by 15, it gives a remainder of 0. So we only need to consider the remainder of 16 when divided by 15.
Step 6: Divide 16 by 15, which gives a quotient of 1 and a remainder of 1.
Step 7: Therefore, the remainder when the new number is divided by 15 is 1.
Remainders – Understanding how to calculate remainders when dividing numbers.
Multiplication and Remainders – Applying multiplication to a number and determining the new remainder after division.
