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</p> Signup and view all the answers

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

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

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

    <p>Factor</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.</p> Signup and view all the answers

    What does the modulus function moda m b= give?

    <p>The remainder of a divided by 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}</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</p> Signup and view all the answers

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