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

It is currently 08 Dec 2019, 01:38

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

The figures above show a hexagonal nut that has a width of 1 5/16

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
avatar
G
Joined: 04 Sep 2017
Posts: 291
The figures above show a hexagonal nut that has a width of 1 5/16  [#permalink]

Show Tags

New post 21 Sep 2019, 03:27
1
5
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

43% (02:28) correct 57% (02:42) wrong based on 128 sessions

HideShow timer Statistics

Image
The figures above show a hexagonal nut that has a width of 55669.png inches and a wrench that, in order to fit the nut, must have a width of at least \(1 \frac{5}{16}\) inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?

(Note: 1 inch ≈ 25.4 millimeters)

A. 30
B. 31
C. 32
D. 33
E. 34

PS92751.01

Attachment:
2019-09-21_1425.png
2019-09-21_1425.png [ 19.34 KiB | Viewed 1582 times ]

_________________
Kudos
Senior Manager
Senior Manager
avatar
G
Joined: 04 Aug 2010
Posts: 496
Schools: Dartmouth College
Re: The figures above show a hexagonal nut that has a width of 1 5/16  [#permalink]

Show Tags

New post 21 Sep 2019, 04:00
4
gmatt1476 wrote:
Image
The figures above show a hexagonal nut that has a width of 55669.png inches and a wrench that, in order to fit the nut, must have a width of at least \(1 \frac{5}{16}\) inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?

(Note: 1 inch ≈ 25.4 millimeters)

A. 30
B. 31
C. 32
D. 33
E. 34


Width of the nut:
\(1 \frac{5}{16}\) inches = \(\frac{21}{16}\) inches

Conversion note:
\(25.4\) millimeters per inch \(= 25\frac{2}{5}\) millimeters per inch \(= \frac{127}{5}\) millimeters per inch

Converting the width of the nut from inches to millimeters, we get:
\(\frac{21}{16}\) inches * \(\frac{127}{5}\) millimeters per inch = \(\frac{21}{16} * \frac{127}{5} = \frac{21}{5} * \frac{127}{16}\) = (4.2)(almost 8) = more than 33 millimeters.
Of the five answer choices, only E will accommodate a width greater than 33 millimeters.


_________________
GMAT and GRE Tutor
New York, NY

Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5441
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
The figures above show a hexagonal nut that has a width of 1 5/16  [#permalink]

Show Tags

New post Updated on: 21 Sep 2019, 06:00
1
given fraction;
\(1 \frac{5}{16}\) inches ; 21/16
and 1 inch = 25.4 mm
so at least closest measurement ; 25.4*21/16 = ~33.3 = 34

IMO E


gmatt1476 wrote:
Image
The figures above show a hexagonal nut that has a width of 55669.png inches and a wrench that, in order to fit the nut, must have a width of at least \(1 \frac{5}{16}\) inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?

(Note: 1 inch ≈ 25.4 millimeters)

A. 30
B. 31
C. 32
D. 33
E. 34

PS92751.01

given fraction
Attachment:
2019-09-21_1425.png

Originally posted by Archit3110 on 21 Sep 2019, 05:32.
Last edited by Archit3110 on 21 Sep 2019, 06:00, edited 1 time in total.
Senior Manager
Senior Manager
avatar
G
Joined: 04 Aug 2010
Posts: 496
Schools: Dartmouth College
The figures above show a hexagonal nut that has a width of 1 5/16  [#permalink]

Show Tags

New post 21 Sep 2019, 05:57
Archit3110 wrote:
given fraction;
\(1 \frac{5}{16}\) inches ; 21/16
and 1 inch = 25.4 mm
so closest measurement ; 25.4*21/16 = 33.3 ~ 33
IMO D



Careful!

From the prompt:
a wrench that, in order to fit the nut, must have a width of at least \(1 \frac{5}{16}\) inches
Implication:
\(w ≥ \frac{21}{16}\) inches

In your solution, the value in red indicates that \(\frac{21}{16}\) inches > 33 millimeters.
Thus:
\(w ≥ \frac{21}{16}\) inches > 33 millimeters
\(w > 33\) millimeters

Only E satisfies this condition.
_________________
GMAT and GRE Tutor
New York, NY

Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.
Intern
Intern
avatar
B
Joined: 01 Jun 2017
Posts: 3
Location: United States (VA)
Concentration: General Management, Finance
GPA: 3.4
WE: Engineering (Telecommunications)
Re: The figures above show a hexagonal nut that has a width of 1 5/16  [#permalink]

Show Tags

New post 22 Nov 2019, 10:23
this is a pretty straight fwd calculation. convert inches to mm that comes around > 33 (~33.337).
Thus, ANS -> E
GMAT Club Bot
Re: The figures above show a hexagonal nut that has a width of 1 5/16   [#permalink] 22 Nov 2019, 10:23
Display posts from previous: Sort by

The figures above show a hexagonal nut that has a width of 1 5/16

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





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