• 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

Three men sit at a table. One dollar is placed in front of

This topic has 1 expert reply and 1 member reply

Three men sit at a table. One dollar is placed in front of

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



Source: EMPOWERgmat

Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After five rounds of this activity, what is the maximum amount of money that any one man could receive?

A. $4
B. $5
C. $10
D. $15
E. $16

The OA is E

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
BTGmoderatorLU wrote:
Source: EMPOWERgmat

Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After five rounds of this activity, what is the maximum amount of money that any one man could receive?

A. $4
B. $5
C. $10
D. $15
E. $16
The OA is E
Let's see what happens if a man waits until the last (5th) round to take the money.

Round #1: $1 placed in front of the man (but he doesn't take it)
Round #2: Now, $2 placed in front of the man (but he doesn't take it)
Round #3: Now, $4 placed in front of the man (but he doesn't take it)
Round #4: Now, $8 placed in front of the man (but he doesn't take it)
Round #5: Now, $16 placed in front of the man, and this time he takes it

So, it's POSSIBLE for 1 man to receive $16, but is is possible to receive MORE THAN $16?
Fortunately, we need not concern ourselves with this question, since $16 is the biggest possible answer choice.

So, the correct answer must be E

Cheers,
Brent

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

Sign up for our free Question of the Day emails
And check out all of our free resources

  • +1 Upvote Post
  • Quote
  • Flag
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!
Post
The maximum amount of money collected at the end of the 5 turns will be when the first 4 turns end up in no one touching it.

After 1st: $1 becomes $2
After 2nd: $2 becomes $4
After 3rd: $4 becomes $8
After 4th: $8 becomes $16

Thus the maximum amount of money = $16. E is the correct answer.

  • +1 Upvote Post
  • Quote
  • Flag
  • 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
  • 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
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • 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
  • 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
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • 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

Top First Responders*

1 Brent@GMATPrepNow 60 first replies
2 fskilnik@GMATH 60 first replies
3 Jay@ManhattanReview 46 first replies
4 GMATGuruNY 35 first replies
5 Rich.C@EMPOWERgma... 24 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description fskilnik@GMATH

GMATH Teacher

122 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

94 posts
3 image description Max@Math Revolution

Math Revolution

84 posts
4 image description Jay@ManhattanReview

Manhattan Review

79 posts
5 image description Rich.C@EMPOWERgma...

EMPOWERgmat

63 posts
See More Top Beat The GMAT Experts