Modular Math Remainder

What is 14 mod 8 - 15 mod 8 congruent to?

• 7 mod 8

• 1 mod 8

• 0 mod 8

• 6 mod 8

What is 99 mod 100?

• 99 mod 100

• 100 mod 99

• 1 mod 100

• 100 mod 1

What is the main focus of modular arithmetic?

• Division remainders

• Subtraction of integers

• Multiplication results

• Addition of integers

In the equation A = B x Q + R, what does R represent?

• Divisor

• Remainder

• Dividend

• Quotient

How is modular arithmetic expressed?

• A mod B = R

• A / B = R

• A + B = R

• A - B = R

What is the correct expression for modular addition?

• (A + B) mod C = (A × B) mod C

• (A + B) mod C = A + B

• (A + B) mod C = (A mod C - B mod C) mod C

• (A + B) mod C = (A mod C + B mod C) mod C

In modular arithmetic, what does the term 'equivalence classes' refer to?

• Groups of integers with the same quotient

• Groups of integers with the same remainder

• Groups of integers with different signs

• Groups of integers with the same value

What does A ≡ R (mod B) signify?

• A is less than R

• A is congruent to R

• A is equal to R

• A is greater than R

What is the result of (A + B) mod C when both A and B are positive integers?

• Positive integer

• Negative integer

• Undefined

• Zero

In modular multiplication, what is the result of (A × B) mod C when both A and B are negative?

• Negative integer

• Positive integer

• Undefined

• Zero