ExplanationPattern problems on the GRE often include a very large series of items that would be impossible (or at least unwise) to write out on paper. Instead, try to recognize and exploit the pattern.

In this case, after every 4th car, the color pattern repeats. By dividing 463 by 4, you find that there will be 115 cycles through the 4 colors of cars—red, blue, black, gray—for a total of 460 cars to exit the factory.

The key to solving these problems is the remainder. Because there are 463 – 460 = 3 cars remaining, the first such car will be red, the second will be blue, and the third will be black.

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Sandy

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