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A certain number when divided by 15 gives a remainder of 8. If this number is mu

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Question: 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)

Options:

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Correct Answer: 1

Exam Year: 2023

Solution: 

The new number is (original number * 2), which gives a remainder of (8 * 2) = 16, and 16 divided by 15 gives a remainder of 1.

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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  2. 2
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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.
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