Manhattan Prep - GMAT Advanced Quant

Acknowledgements

A great number of people were involved in the creation of the book you are holding.

Our Manhattan Prep resources are based on the continuing experiences of our instructors and students. The overall vision for this edition was developed by Chelsey Cooley, who determined what new areas to cover and who wrote all of the problems that are new to this edition.

Chelsey served as the primary author of this edition and Emily Meredith Sledge was the primary editor; Emily also served as the primary author of the first edition of this guide. Mario Gambino managed production for the manyand quite complicatedimages that appear in this guide.

Matthew Callan coordinated the production work for this guide. Once the manuscript was done, Naomi Beesen and Ben Ku edited and Cheryl Duckler and Stacey Koprince proofread the entire guide from start to finish. Carly Schnur designed the covers.

Retail ISBN: 978-1-5062-4993-3
Retail eISBN: 978-1-5062-4994-0
Course ISBN: 978-1-5062-4995-7
Course eISBN: 978-1-5062-4996-4

Copyright 2020 Manhattan Prep, Inc.

ALL RIGHTS RESERVED. No part of this work may be reproduced or used in any form or by any meansgraphic, electronic, or mechanical, including photocopying, recording, taping, web distributionwithout the prior written permission of the publisher, MG Prep, Inc.

GMAT is a registered trademark of the Graduate Management Admission Council. Manhattan Prep is neither endorsed by nor affiliated with GMAC.

January 7, 2020

Dear Student,

Thank you for picking up a copy of Advanced Quant. I hope this book provides just the guidance you need to get the most out of your GMAT studies.

At Manhattan Prep, we continually aspire to provide the best instructors and resources possible. If you have any questions or feedback, please do not hesitate to contact us.

Email our Student Services team at gmat@manhattanprep.com or give us a shout at 212-721-7400 (or 800-576-4628 in the United States or Canada). We try to keep all our books free of errors, but if you think weve goofed, please visit manhattanprep.com/GMAT/errata.

Our Manhattan Prep Strategy Guides are based on the continuing experiences of both our instructors and our students. The primary author of the this edition of the Advanced Quant guide was Chelsey Cooley and the primary editor was Emily Meredith Sledge. Project management and design were led by Matthew Callan and Mario Gambino. Id like to send particular thanks to instructors Stacey Koprince and Ben Ku for their content contributions.

Finally, we are indebted to all of the Manhattan Prep students who have given us excellent feedback over the years. This book wouldnt be half of what it is without their voice.

And now that you are one of our students too, please chime in! I look forward to hearing from you. Thanks again and best of luck preparing for the GMAT!

Sincerely,

www.manhattanprep.com/gmat 138 West 25th Street, 7th Floor, New York, NY 10001 Tel: 212-721-7400 Fax: 646-514-7425

Welcome to GMAT Advanced Quant! In this venue, we decided to be a little nerdy and call the introduction Chapter 0. After all, the point (0, 0) in the coordinate plane is called the origin, isnt it? (Thats the first and last math joke in this book.)

Unfortunately, we have to qualify our welcome right away, because this book isnt for everyone. At least, its not for everyone right away.

You should use this book if you meet the following conditions:

• You have achieved a scaled score of at least 47 (out of 51) on the Quant section of either the Manhattan Prep practice test or the official practice computer-adaptive test (CAT).

• You have worked through the Manhattan Prep All the Quant guide, which covers all of the topics and strategies you need for the Quant section, or you have worked through similar material from another company. This material should include the following:

  • Algebra
  • Fractions, Decimals, Percents, and Ratios
  • Geometry
  • Number Properties
  • Word Problems
• You are already comfortable with the core principles in these topics.
• You want to raise your performance to a scaled score of 49 or higher.
• You want to become a significantly smarter test-taker.

If you match this description, then please turn the page.

If you dont match this description, then you will probably find this book too difficult at this stage of your preparation.

For now, you are better off working on topic-focused material, as found in the All the Quant guide, and ensuring that you have mastered that material before you return to this book.

Throughout the chapters of this guide, youll see Try-It problemsproblems designed to test your skills on certain aspects of GMAT problems. Take a look at the following three Try-It problems, which are very difficult. They are at least as hard as any real GMAT problemprobably even harder.

Go ahead and give these problems a try. You should not expect to solve any of them in two minutes. In fact, you might find yourself completely stuck. If thats the case, switch gears. Do your best to eliminate some incorrect answer choices and take an educated guess.

A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 3, what is the smallest possible total number of tokens in the jar?

1. 9
2. 12
3. 15
4. 18
5. 21

Arrow , which is a line segment exactly 5 units long with an arrowhead at A, is constructed in the xy-plane. The x- and y-coordinates of A and B are integers that satisfy the inequalities 0 x 9 and 0 y 9. How many different arrows with these properties can be constructed?