Jul 21 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes Jul 26 08:00 AM PDT  09:00 AM PDT The Competition Continues  Game of Timers is a teambased competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th Jul 27 07:00 AM PDT  09:00 AM PDT Learn reading strategies that can help even nonvoracious reader to master GMAT RC
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56307

New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
13 Aug 2018, 05:01
Question Stats:
79% (00:53) correct 21% (00:58) wrong based on 113 sessions
HideShow timer Statistics
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.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Manager
Joined: 10 May 2018
Posts: 123
Concentration: Finance, Sustainability

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
13 Aug 2018, 07:16
Waiting for the OA. Is the answer (C) Black? Bunuel 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. I have simply divided 460/4 to get 115 (115th car should be Gray) and then counted three more to 463, hence black. Is there a robust method as well? Thanks, in advance!
_________________



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
13 Aug 2018, 07:37
Bunuel 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. 463/4 = 115 Cycles + 3 Cars So, After 115 Cycles the 3rd Cycle is Black, Answer must be (C)
_________________



eGMAT Representative
Joined: 04 Jan 2015
Posts: 2943

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
14 Aug 2018, 06:39
Solution Given:• Cars leave a car factory in a repeating pattern : red, blue, black and grey • The first car to exit the factory was red To find:• The color of the 463rd car that exits the factory
Approach and Working: • Since, the total number of cars is four and they follow a repeated pattern and the first car to exit is red.
o The pattern will be red, blue, black, grey, red, blue and so on o So, again the 5th car, 9th car and so on will be red. o We can write the general form as, every number of the car, which is in the form, 4n + 1 will be red, where n is a nonnegative integer. o Similarly, every number of the car, which is in the form,
4n + 2 will be blue, 4n + 3 will be black, and 4n + 4 will be grey • 463 can be written as 4 * 115 + 3, which is of the form 4n + 3.
Therefore, the 463rd car to exit will be black in color Hence, the correct answer is option C . Answer: C
_________________



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
18 Aug 2018, 19:31
Bunuel 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. We see we have a repeating pattern of 4, so for a nonnegative integer k, we have: (4k + 1)st car is red, (4k + 2)nd car is blue, (4k + 3)rd car is black and (4k + 4)th car is gray Since 460 is a multiple of 4, then the 461st car was red, 462nd was blue, and 463rd was black. Alternate Solution: The 1st, 2nd, 3rd, and 4th car colors are red, blue, black, and gray, respectively. We note that the 4th, 8th, 12th, 16th, … cars are all gray. We see, then, that all cars that are multiples of 4 will be gray. Thus, the 460th car will be gray, the 461st will be red, the 462nd will be blue, and the 463rd will be black. Answer: C
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



CEO
Joined: 12 Sep 2015
Posts: 3857
Location: Canada

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
29 Nov 2018, 07:16
Bunuel 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 #  color1  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 graySo, 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 blackAnswer: C Cheers, Brent
_________________
Test confidently with gmatprepnow.com




Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
29 Nov 2018, 07:16






