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Thread: sat math division

  1. #1
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    Jun 2013
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    sat math division

    I need help with the following sat math question
    The positive integers x and y leave remainders of 4 and 5, respectively, when divided by 7. Which of the following is the remainder when x-y-2 is divided by 7?
    (A) 0
    (B) 1
    (C) 4
    (D) 5
    (E) 6

    Thanks

  2. #2
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    Jun 2013
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    sat math division

    The remainder is the amount left after the division of two integer numbers. If n and d are positive integers there exist unique integers q and r such that ,
    The number q is the quotient, r is the remainder and d is the divisor.

    x leaves remainder of 4 when divided by 7 can be expressed as:
    (1)
    y leaves remainder of 5 when divided by 7 can be expressed as:
    (2)

    Subtracting (1) and (2) we have


    Subtracting 2 on both sides in order to have the amount x-y-2



    add and subtract 7 since the remainder cannot be negative (-3)




    Therefore the correct answer is that the remainder is 4 (C)

  3. #3
    Junior Member
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    Jun 2013
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    Thank you Jane!

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