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In a modular system with modulus 5, what is the result of (3 + 4) mod 5?

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Question: In a modular system with modulus 5, what is the result of (3 + 4) mod 5?

Options:

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

Correct Answer: 0

Solution: 

(3 + 4) = 7, and 7 mod 5 = 2.

In a modular system with modulus 5, what is the result of (3 + 4) mod 5?

Practice Questions

Q1
In a modular system with modulus 5, what is the result of (3 + 4) mod 5?
  1. 2
  2. 1
  3. 0
  4. 3

Questions & Step-by-Step Solutions

In a modular system with modulus 5, what is the result of (3 + 4) mod 5?
  • Step 1: Start with the numbers 3 and 4.
  • Step 2: Add the two numbers together: 3 + 4 = 7.
  • Step 3: Now, we need to find 7 mod 5. This means we want to see what the remainder is when 7 is divided by 5.
  • Step 4: Divide 7 by 5. The result is 1 with a remainder of 2.
  • Step 5: The remainder is the result of 7 mod 5, which is 2.
  • Modular Arithmetic – Understanding how to perform addition and then apply the modulus operation to find the remainder.
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