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New cars leave a car factory in a repeating pattern of red,
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12 Aug 2018, 15:43
12 Aug 2018, 15:43
4
Expert Reply
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Question Stats:
74% (00:45) correct
25% (01:01) wrong based on 186 sessions
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New cars leave a car factory in a repeating pattern of red, blue, black, and gray cars. If the first car to exit the factory was red, what color is the 463rd car to exit the factory?
(A) Red
(B) Blue
(C) Black
(D) Gray
(E) It cannot be determined from the information given.
(A) Red
(B) Blue
(C) Black
(D) Gray
(E) It cannot be determined from the information given.
Re: New cars leave a car factory in a repeating pattern of red,
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16 Aug 2018, 05:23
16 Aug 2018, 05:23
5
Cars leaving the factory has a cyclicity of 4. The remainder when 463 is divided by 4 is 3.
So the next three coloured cars to exit the factory will be in the following order, red, blue, black.
Hence 463rd car to exit will be BLACK.
C is the answer.
So the next three coloured cars to exit the factory will be in the following order, red, blue, black.
Hence 463rd car to exit will be BLACK.
C is the answer.
General Discussion
Re: New cars leave a car factory in a repeating pattern of red,
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17 Aug 2018, 16:01
17 Aug 2018, 16:01
2
Expert Reply
Explanation
Pattern 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.
Pattern 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.
