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GRE - Quantitative Reasoning - Number Theory

When m is divided by 11, the remainder is r.

m = 1032  2

When m is divided by 11, the remainder is r.

Quantity A: r

Quantity B: 3

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

m = 1032 + 2 = (11 - 1)32 + 2

expanding using binomial

1132 + b 1131 + . . .  + k11 + 1 + 2 = multiple of 11 + 3

remainder will be 3