GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Nov 2018, 22:38

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     November 18, 2018

     November 18, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.

Herman is trying to box a gift for his cousin Edward. The gift include

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50623
Herman is trying to box a gift for his cousin Edward. The gift include  [#permalink]

Show Tags

New post 23 Aug 2018, 03:16
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (01:32) correct 12% (02:22) wrong based on 17 sessions

HideShow timer Statistics

Herman is trying to box a gift for his cousin Edward. The gift included a rod that is 26 inches long and the box Herman is using measures 8 inches long by 6 inches wide. If the rod fits exactly in the box when one end of the rod is placed in the lower right corner and the other end is placed in the upper left corner, how tall is the box?


A. 12
B. 13
C. 24
D. 27
E. 104

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
Premium Member CAT Tests
Herman is trying to box a gift for his cousin Edward. The gift include  [#permalink]

Show Tags

New post 23 Aug 2018, 03:40
Bunuel wrote:
Herman is trying to box a gift for his cousin Edward. The gift included a rod that is 26 inches long and the box Herman is using measures 8 inches long by 6 inches wide. If the rod fits exactly in the box when one end of the rod is placed in the lower right corner and the other end is placed in the upper left corner, how tall is the box?


A. 12
B. 13
C. 24
D. 27
E. 104



The box in which Herman will fit the gift(which has a rod - 26 inches long) will be a cuboid.

We are given two dimensions of the cuboid - Length: 8 inches | Width: 6 inches. Since, the
maximum distance between any two points in a cuboid is the length of the diagonal, we can
find out the height of the cuboid using the formula of the diagonal in a cuboid

Formula used: Diagonal of cuboid = \(\sqrt{Length^2 + Width^2 + Height^2}\)

Substituting values, we get \(26 = \sqrt{8^2 + 6^2 + x^2}\) (Here, x - height of cuboid)
Squaring on both sides, we will get \(26^2 = (\sqrt{64 + 36 + x^2})^2\) -> \(x^2 = 576(676 - 100)\)

Therefore, the height of the box in which the rod fits exactly is \(\sqrt{576} = \sqrt{24^2}\) = 24 (Option C)
_________________

You've got what it takes, but it will take everything you've got

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4222
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: Herman is trying to box a gift for his cousin Edward. The gift include  [#permalink]

Show Tags

New post 23 Aug 2018, 06:20
Bunuel wrote:
Herman is trying to box a gift for his cousin Edward. The gift included a rod that is 26 inches long and the box Herman is using measures 8 inches long by 6 inches wide. If the rod fits exactly in the box when one end of the rod is placed in the lower right corner and the other end is placed in the upper left corner, how tall is the box?


A. 12
B. 13
C. 24
D. 27
E. 104


Since the rod directly fits into the box then the diagonal of the box = 26

Now, \(26^2 = 8^2 + 6^2 + width^2\)

Or, \(676 = 64 + 36 + width^2\)

Or, \(Width = \sqrt{676 - 100}\)

Or, \(Width = 24\), 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 )

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: Herman is trying to box a gift for his cousin Edward. The gift include  [#permalink]

Show Tags

New post 26 Aug 2018, 18:21
Bunuel wrote:
Herman is trying to box a gift for his cousin Edward. The gift included a rod that is 26 inches long and the box Herman is using measures 8 inches long by 6 inches wide. If the rod fits exactly in the box when one end of the rod is placed in the lower right corner and the other end is placed in the upper left corner, how tall is the box?


A. 12
B. 13
C. 24
D. 27
E. 104


We need to calculate the diagonal of the box.

We can use the formula:

L^2 + W^2 + H^2 = D^2

8^2 + 6^2 + H^2 = 26^2

64 + 36 + H^2 = 676

H^2 = 576

H = 24

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: Herman is trying to box a gift for his cousin Edward. The gift include &nbs [#permalink] 26 Aug 2018, 18:21
Display posts from previous: Sort by

Herman is trying to box a gift for his cousin Edward. The gift include

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.