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

It is currently 23 Jul 2018, 03:00

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

If the rectangular box shown here is 6 inches wide, 8 inches long

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

Hide Tags

Manager
Manager
User avatar
G
Joined: 03 Mar 2018
Posts: 182
Premium Member
If the rectangular box shown here is 6 inches wide, 8 inches long  [#permalink]

Show Tags

New post 15 Mar 2018, 07:28
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

96% (00:47) correct 4% (00:49) wrong based on 24 sessions

HideShow timer Statistics

Image
If the rectangular box shown here is 6 inches wide, 8 inches long and 7 inches high. What is the distance, in inches, between points A and B?

(A) \(\sqrt{21}\)

(B) 9

(C) 2\(\sqrt{21}\)

(D) \(\sqrt{149}\)

(E) 3\(\sqrt{21}\)

Attachment:
Capture1.JPG
Capture1.JPG [ 13.41 KiB | Viewed 287 times ]

_________________

Please mention my name in your valuable replies.

Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6292
Re: If the rectangular box shown here is 6 inches wide, 8 inches long  [#permalink]

Show Tags

New post 15 Mar 2018, 07:34
itisSheldon wrote:
If the rectangular box shown here is 6 inches wide, 8 inches long and 7 inches high. What is the distance, in inches, between points A and B?
Attachment:
Capture1.JPG

(A) \(\sqrt{21}\)
(B) 9
(C) 2\(\sqrt{21}\)
(D) \(\sqrt{149}\)
(E) 3\(\sqrt{21}\)




AB is the longest distance in the box or it is the diagonals..
D = \(\sqrt{8^2+7^2+6^2}=\sqrt{64+49+36}=\sqrt{149}\)

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3655
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If the rectangular box shown here is 6 inches wide, 8 inches long  [#permalink]

Show Tags

New post 15 Mar 2018, 07:53
itisSheldon wrote:
Image
If the rectangular box shown here is 6 inches wide, 8 inches long and 7 inches high. What is the distance, in inches, between points A and B?

(A) \(\sqrt{21}\)

(B) 9

(C) 2\(\sqrt{21}\)

(D) \(\sqrt{149}\)

(E) 3\(\sqrt{21}\)

Attachment:
Capture1.JPG


\(Diagonal = \sqrt{8^2 +6^2 + 7^2}\)

Answer must be (D) \(\sqrt{149}\)
_________________

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 )

DS Forum Moderator
User avatar
P
Joined: 27 Oct 2017
Posts: 627
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: If the rectangular box shown here is 6 inches wide, 8 inches long  [#permalink]

Show Tags

New post 15 Mar 2018, 07:59
In a cuboid, always remember that there is two type of diagonal, one is called Body/Space diagonal. other is called the side diagonal.

BODY/SPACE DIAGONAL is the longest distance between any two points in the cuboid, it is the line joining the opposite most vertex.

In this question, AB is Body diagonal.

Hence Answer is (8^2+6^2+7^2)^0.5 = 149^0.5 (D)
Attachments

download.jpg
download.jpg [ 6.25 KiB | Viewed 238 times ]


_________________

SC: Confusable words
All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

Re: If the rectangular box shown here is 6 inches wide, 8 inches long &nbs [#permalink] 15 Mar 2018, 07:59
Display posts from previous: Sort by

If the rectangular box shown here is 6 inches wide, 8 inches long

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

Events & Promotions

PREV
NEXT


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®.