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GMAT Remainders

by ejkiv

July 18, 2015

The topic of GMAT remainders is not a difficult one and probably terminology that you learned back in second or third grade. You likely learned how to find a remainder through long division, and since we have banned you from long division, we are going to have to learn about remainders just a touch differently. Let’s start by looking at a few things related to remainders so that we have a basis to talk about this topic.


*Obviously, you would never write a mixed fraction with a zero in the numerator of the fraction portion, but writing helps convey a point.

As you can see, all of the multiples of 4 {4, 8 and 12} have no remainder and the other numbers have a remainder equal to the difference between itself and the next lower multiple of 4.  Thus,

Dividend = Quotient x Divisor + Remainder

You do not need to memorize this formula, although understanding exactly how it works will aide in some GMAT problems.

Key Points:

    • The quotient is equal to the whole number in the mixed fraction
    • The remainder is equal to the numerator of the mixed fraction
    • The remainder pattern cycles between zero and 3, which is 1 number less than the divisor
    • The fraction part of the mixed fraction is equal to the value to the right of the decimal


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