December 14, 2018 December 14, 2018 09:00 AM PST 10:00 AM PST 10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners. December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51185

New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
13 Aug 2018, 04:01
Question Stats:
79% (00:39) correct 21% (00:38) wrong based on 95 sessions
HideShow timer Statistics



Manager
Joined: 10 May 2018
Posts: 126
Concentration: Finance, Sustainability

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
13 Aug 2018, 06:16
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: 4276
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, 06:37
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)
_________________
Thanks and Regards
Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
How to use Search Function in GMAT Club  Rules for Posting in QA forum  Writing Mathematical Formulas Rules for Posting in VA forum  Request Expert's Reply ( VA Forum Only )



eGMAT Representative
Joined: 04 Jan 2015
Posts: 2303

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
14 Aug 2018, 05:39
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
_________________
Register for free sessions Number Properties  Algebra Quant Workshop
Success Stories Guillermo's Success Story  Carrie's Success Story
Ace GMAT quant Articles and Question to reach Q51  Question of the week
Must Read Articles Number Properties – Even Odd  LCM GCD  Statistics1  Statistics2  Remainders1  Remainders2 Word Problems – Percentage 1  Percentage 2  Time and Work 1  Time and Work 2  Time, Speed and Distance 1  Time, Speed and Distance 2 Advanced Topics Permutation and Combination 1  Permutation and Combination 2  Permutation and Combination 3  Probability Geometry Triangles 1  Triangles 2  Triangles 3  Common Mistakes in Geometry Algebra Wavy line  Inequalities Practice Questions Number Properties 1  Number Properties 2  Algebra 1  Geometry  Prime Numbers  Absolute value equations  Sets
 '4 out of Top 5' Instructors on gmatclub  70 point improvement guarantee  www.egmat.com



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
18 Aug 2018, 18:31
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
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



CEO
Joined: 11 Sep 2015
Posts: 3237
Location: Canada

Re: New cars leave a car factory in a repeating pattern of red, blue, blac
[#permalink]
Show Tags
29 Nov 2018, 06:16
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 &nbs
[#permalink]
29 Nov 2018, 06:16






