My Learning Cart
?
Categories
Account

When a number is divided by 8, it leaves a remainder of 5. If this number is mul

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

What’s inside this PDF?

Question: When a number is divided by 8, it leaves a remainder of 5. If this number is multiplied by 3, what will be the remainder when the result is divided by 8? (2023)

Options:

  1. 1
  2. 2
  3. 3
  4. 5

Correct Answer: 1

Exam Year: 2023

Solution: 

Multiplying the number by 3 gives (8k + 5) * 3 = 24k + 15, which gives a remainder of 7 when divided by 8.

When a number is divided by 8, it leaves a remainder of 5. If this number is mul

Practice Questions

Q1
When a number is divided by 8, it leaves a remainder of 5. If this number is multiplied by 3, what will be the remainder when the result is divided by 8? (2023)
  1. 1
  2. 2
  3. 3
  4. 5

Questions & Step-by-Step Solutions

When a number is divided by 8, it leaves a remainder of 5. If this number is multiplied by 3, what will be the remainder when the result is divided by 8? (2023)
  • Step 1: Understand that when a number is divided by 8 and leaves a remainder of 5, we can express this number as '8k + 5', where 'k' is some integer.
  • Step 2: Multiply the entire expression '8k + 5' by 3. This gives us '3 * (8k + 5)'.
  • Step 3: Distribute the 3: '3 * 8k + 3 * 5' which simplifies to '24k + 15'.
  • Step 4: Now, we need to find the remainder when '24k + 15' is divided by 8.
  • Step 5: Notice that '24k' is a multiple of 8 (since 24 is divisible by 8), so it leaves a remainder of 0 when divided by 8.
  • Step 6: Now, focus on the '15'. When we divide 15 by 8, we get 15 = 8 * 1 + 7, which means the remainder is 7.
  • Step 7: Therefore, the remainder when '24k + 15' is divided by 8 is the same as the remainder of 15 divided by 8, which is 7.
No concepts available.
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