• Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider

chips

This topic has 4 expert replies and 0 member replies
j_shreyans Legendary Member Default Avatar
Joined
07 Aug 2014
Posted:
510 messages
Followed by:
5 members
Thanked:
3 times

chips

Post Wed Oct 22, 2014 11:09 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?


    A)1
    B)2
    C)3
    D)4
    E)5

    OAB

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Wed Oct 22, 2014 9:50 pm
    Hi j_shreyans,

    This question involves a bit of logical thinking and factoring skills. You have to take notes and stay organized though, if you want to answer this question correctly.

    We're told:
    Blue chips = 1 point each
    Green chips = 5 points each
    Purple chips = X points each (more than Green, less than Red, so X = 6, 7, 8, 9 or 10)
    Red chips = 11 points each

    We're told that taking an unknown number of chips gives us a product equal to 88,000; we need to factor 88,000 and we should look specifically for 5s, 11s and some mystery number between 6 and 10, inclusive….

    88,000 =
    (11)(8,000) =
    (11)(5)(1600) =
    (11)(5)(5)(320) =
    (11)(5)(5)(5)(64)

    Now, we KNOW that there's a mystery number that is between 6 and 10 (inclusive) and MUST account for that 64….

    64 = (8)(8)

    This gives us 2 purple chips.

    Final Answer: B

    GMAT assassins aren't born, they're made,
    Rich

    _________________
    Contact Rich at Rich.C@empowergmat.com

    Thanked by: j_shreyans, Anaira Mitch
    Post Thu Oct 23, 2014 7:20 am
    Quote:
    In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?
    A) 1
    B) 2
    C) 3
    D) 4
    E) 5
    This question begs for some prime factorization.
    88,000 = (2)(2)(2)(2)(2)(2)(5)(5)(5)(11)

    First, we can see that there must be one (11-point) red chip.
    Now, what role do these 2's play? Since there are no 2's hiding among the 5-point chips or the 11-point chips, the 2's must be associated with the x-point chips.
    Since we know that each purple chip is worth 6,7,8,9 or 10 points, we know that x must equal 6, 8 or 10.

    x cannot equal 6, because we don't have any 3's in the prime factorization.
    If x were to equal 10, we'd need six 5's to go with our six 2's. Since we don't have six 5's in the prime factorization of 88,000, we can rule out the possibility that x equals 10.

    By the process of elimination, x MUST equal 8.
    Since 8 = (2)(2)(2), we can see that the six 2's can be used to create two products of 8.

    Answer: B

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
    Come see all of our free resources

    Thanked by: j_shreyans
    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

    GMAT/MBA Expert

    Post Mon Oct 27, 2014 10:56 am
    Brent's solution is great. Let me add an equation-based approach, as some students like those.

    Let's suppose we have g green chips, p purple chips, and r red chips. The product of all the chip values is thus 5ᵍ * x- * 11ʳ. Since we know the product is also 88,000, we have the equation

    5ᵍ * x- * 11ʳ = 88,000 = 11 * 5³ * 2⁶

    Since each side is an integer, we know that each side must have the SAME number of each prime factor. Hence r = 1, for instance, and we have one 11 on both sides.

    Now let's deal with the 5s. g doesn't necessarily = 3, but let's suppose that it does. That leaves us with x- = 2⁶. This gives us THREE possibilities:

    x = 2, p = 6
    x = 4, p = 3
    x = 8, p = 2

    The prompt told us that x must be between 5 and 11, so we know x = 8, p = 2, and the answer is B.

    Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!
    Post Mon Nov 13, 2017 10:18 am
    j_shreyans wrote:
    In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?


    A)1
    B)2
    C)3
    D)4
    E)5
    Let’s break 88,000 into its prime factors:

    88,000 = 88 x 1000 = 11 x 8 x 10 x 100 = 11 x 2^3 x 5 x 2 x 5^2 x 2^2 = 2^6 x 5^3 x 11^1

    We see that there could be any number of blue chips since they are worth 1 point each. The prime factor 5^3 tells us that the number of green chips must be 3 since they are worth 5 points each. The prime factor 11^1 indicates that the number of red chips must be 1 since each red chip is worth 11 points. Thus, the product of the point values of purple chips must be 2^6. Since each purple chip is worth between 5 and 11 points, and the value of a purple chip must be a power of 2, each purple chip must be worth 2^3 = 8 points, since 8 is the only power of 2 between 5 and 11. Since 2^6 = 8^2, there must be 2 purple chips.

    Answer: B

    Best Conversation Starters

    1 LUANDATO 153 topics
    2 lheiannie07 87 topics
    3 Roland2rule 75 topics
    4 AAPL 62 topics
    5 ardz24 60 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description EconomistGMATTutor

    The Economist GMAT Tutor

    166 posts
    2 image description GMATGuruNY

    The Princeton Review Teacher

    130 posts
    3 image description Jay@ManhattanReview

    Manhattan Review

    128 posts
    4 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    121 posts
    5 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    99 posts
    See More Top Beat The GMAT Experts