Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1210:00 AM EST
-10:30 AM EST
Did you know you can lock in a spot at an elite MBA program years in advance of attending? Learn everything about Deferred MBA programs and why they’re becoming a game-changer for students and professionals.
Dec 1110:00 AM PST
-11:00 AM PST
Top MBA Admissions Consultant: We work with you to turn YOUR story and YOUR passions into YOUR success. Curious to learn more?
Dec 1101:00 PM EST
-03:00 PM EST
Looking to secure a coveted spot at a top business school? Our team of seasoned MBA admissions consultants, including top B schools alumni and industry leaders, is here to help turn your dreams into reality. Let’s kick-start your journey to success!
Dec 1208:00 PM PST
-09:00 PM PST
Inquire for a free profile evaluation and guarantee statement for possible admits and scholarships!
Dec 1308:30 AM EST
-09:15 AM EST
Get the inside scoop on what makes Emory’s Goizueta Business School great, learn how you can present a strong MBA application, and connect with an Admissions Director to get your questions answered.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1408:00 AM PST
-11:30 AM PST
Join us for an exclusive Admit Weekend designed to help you navigate the exciting yet challenging process of choosing between multiple MBA offers and provide valuable guidance on financial aid, scholarship negotiation, visa processes, and more.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1511:00 AM EST
-11:30 AM EST
Meet Tuck at an informal student or staff-hosted coffee chat in a city near you!- Dec 16
08:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes! 
Dec 2109:00 PM IST
-10:00 PM IST
Dreaming of a successful post-MBA career? Explore the 2026 career pathways in consulting, tech, finance, and dive into the exciting opportunities and the potential ROI these industries offer, helping you make informed decisions and more.
06 May 2017, 07:29
Kudos
Bookmarks
10 humans are abducted by aliens; each represents 10% of the entire human population. The aliens give each abductee either a purple hat or a green hat. The 10 are lined up in a single file line, each facing forward, such that the last person can see the remaining 9's hats, the second to last person can see the remaining 8's hats and so on. No one can see his or her own hat.
The aliens then proceed, starting from the last person, to ask each of the abductees what the color of their hat is. If they guess correctly, they and the 10% of the human population they represent survives; if not, the opposite happens.
Assuming the abductees are given a chance to develop a strategy before they are lined up and questioned: what is the optimal strategy they can utilize (i.e. the one with the highest expected number of survivals)?
During the questioning, the abductees are not allowed to say anything besides their guess for the color of their hat when it is their turn.
This ones a bit tricky but can be solved using a simple GMAT concept. Good luck!
The aliens then proceed, starting from the last person, to ask each of the abductees what the color of their hat is. If they guess correctly, they and the 10% of the human population they represent survives; if not, the opposite happens.
Assuming the abductees are given a chance to develop a strategy before they are lined up and questioned: what is the optimal strategy they can utilize (i.e. the one with the highest expected number of survivals)?
During the questioning, the abductees are not allowed to say anything besides their guess for the color of their hat when it is their turn.
This ones a bit tricky but can be solved using a simple GMAT concept. Good luck!
Attachments
hat riddle.jpg [ 238.53 KiB | Viewed 2409 times ]
gmatexam439
06 May 2017, 09:15
Kudos
Bookmarks
Minimum 50% of the population can survive as per me.
The abductees can make a strategy that the 10th person will say that color's name which has the greater count and the remaining will speak out that color's name. Therefore minimum 50% of the population will survive.
Please tell the answer.
The abductees can make a strategy that the 10th person will say that color's name which has the greater count and the remaining will speak out that color's name. Therefore minimum 50% of the population will survive.
Please tell the answer.
06 May 2017, 09:47
Kudos
Bookmarks
Thinks again. It is possible to save more.
