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New cars leave a car factory in a repeating pattern of red,

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New cars leave a car factory in a repeating pattern of red, [#permalink] New post 12 Aug 2018, 15:43
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Question Stats:

69% (00:36) correct 30% (00:53) wrong based on 73 sessions
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.
[Reveal] Spoiler: OA

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Re: New cars leave a car factory in a repeating pattern of red, [#permalink] New post 16 Aug 2018, 05:23
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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.
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Re: New cars leave a car factory in a repeating pattern of red, [#permalink] New post 17 Aug 2018, 16:01
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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.
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Re: New cars leave a car factory in a repeating pattern of red, [#permalink] New post 17 Aug 2018, 16:45
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Many questions on GRE test your divisibility and the ability to find patterns.
Here, we just need to find the reminder for 463%4, and we get the answer as 3(BLACK).
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Re: New cars leave a car factory in a repeating pattern of red, [#permalink] New post 31 Aug 2018, 03:42
parseltongue wrote:
Many questions on GRE test your divisibility and the ability to find patterns.
Here, we just need to find the reminder for 463%4, and we get the answer as 3(BLACK).



OK got it ..thanks.
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Re: New cars leave a car factory in a repeating pattern of red, [#permalink] New post 31 Aug 2018, 21:52
Answer is black since there is a cyclic pattern of 4.
Hence 463/4 = 3
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Re: New cars leave a car factory in a repeating pattern of red, [#permalink] New post 23 Apr 2020, 07:38
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sandy wrote:
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.


Let's examine the pattern.

CAR # | color
1 | red
2 | blue
3 | black
4 | gray
5 | red
6 | blue
7 | black
8 | gray
9 | red
.
.
.
The pattern REPEATS EVERY 4 CARS. So, we say the pattern has CYCLE 4
Also, notice that every car # that's divisible by 4 is gray

So, let's find a car # that's close to 463 and that's divisible by 4, and we'll go from there.
460 is divisible by 4, so the 460th car will be gray
This means the 461st car will be red
The 462nd car will be blue
And the 463rd car will be black

Answer: C

Cheers,
Brent
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Re: New cars leave a car factory in a repeating pattern of red,   [#permalink] 23 Apr 2020, 07:38
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