Division, Quotient, and Remainder in Mathematics
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Questions and Answers

How many positive integers not exceeding 60 are divisible by 7?

  • 5 (correct)
  • 3
  • 4
  • 6

Which of the following is false?

  • 27 – 3 is divisible by 9 (correct)
  • 50 divided by 10 gives a remainder of 5
  • 4142 is divisible by 12
  • 260 – 4 is divisible by 16

If a positive integer 'a' is congruent to 4 modulo 12, which of these integers is also congruent to 4 modulo 12?

  • 37
  • -20 (correct)
  • -15
  • -28

If a|b and b|c, what can be concluded about a and c?

<p>a|c (A)</p> Signup and view all the answers

What is the relationship between ab and cd if a|c and b|d?

<p>$ab \mid cd$ (D)</p> Signup and view all the answers

What do we call it when an integer a divides another integer b?

<p>Factor (D)</p> Signup and view all the answers

What is the requirement for divisibility between integers a and d?

<p>The remainder when dividing a by d must be 0. (A)</p> Signup and view all the answers

What does the modulus function moda m b= give?

<p>The remainder of a divided by b. (B)</p> Signup and view all the answers

Under a modulus m, what set do all results of arithmetic operations belong to?

<p>{0, 1, ..., m-1} (C)</p> Signup and view all the answers

If (mod )a b m≡, what is the condition that must exist?

<p>(a-b) is an integer multiple of m (A)</p> Signup and view all the answers

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