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GRE
GRE Quantitative Reasoning Section

Comparison of Integer Sums

Very Hard Arithmetic Integers

Let n be an integer such that:

$$ n = 4k + 3 $$

for some integer k. This equation indicates that n takes the form of an integer that, when divided by 4, gives a remainder of 3.

Now consider the following two quantities:

Quantity A: The sum of the first 50 positive integers that can be expressed in the above form (i.e., in the form $4k + 3$).

Quantity B: The sum of the first 50 positive integers.

Hint

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