My Learning Cart
?
Categories
Account

A number is divided by 9 and leaves a remainder of 5. If this number is increase

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A number is divided by 9 and leaves a remainder of 5. If this number is increased by 4, what will be the new remainder when divided by 9? (2023)

Options:

  1. 0
  2. 1
  3. 2
  4. 3

Correct Answer: 0

Exam Year: 2023

Solution: 

The new number is (original number + 4) = (9k + 5 + 4) = 9k + 9, which leaves a remainder of 0.

A number is divided by 9 and leaves a remainder of 5. If this number is increase

Practice Questions

Q1
A number is divided by 9 and leaves a remainder of 5. If this number is increased by 4, what will be the new remainder when divided by 9? (2023)
  1. 0
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

A number is divided by 9 and leaves a remainder of 5. If this number is increased by 4, what will be the new remainder when divided by 9? (2023)
  • Step 1: Understand that when a number is divided by 9 and leaves a remainder of 5, it can be expressed as '9k + 5', where 'k' is some integer.
  • Step 2: Increase the original number by 4. This gives us the new number: '9k + 5 + 4'.
  • Step 3: Simplify the new number: '9k + 5 + 4' becomes '9k + 9'.
  • Step 4: Notice that '9k + 9' can be factored as '9(k + 1)', which means it is a multiple of 9.
  • Step 5: Since '9(k + 1)' is a multiple of 9, when this new number is divided by 9, the remainder is 0.
  • Remainders and Modular Arithmetic – Understanding how remainders work when dividing numbers and how they change with arithmetic operations.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks