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

 It is currently 20 Aug 2018, 15:42

### 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

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

# Two points are on the opposite sides of a square who sides

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 May 2014
Posts: 13
Location: Brazil
Two points are on the opposite sides of a square who sides  [#permalink]

### Show Tags

26 Jul 2014, 11:24
3
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:55) correct 28% (00:56) wrong based on 111 sessions

### HideShow timer Statistics

Two points are on the opposite sides of a square who side measures 4. Which of the following could be the distance between these two points?

(A) 3.8
(B) 5
(C) 6
(D) 7
(E) 9
Math Expert
Joined: 02 Sep 2009
Posts: 48067
Re: Two points are on the opposite sides of a square who sides  [#permalink]

### Show Tags

26 Jul 2014, 11:46
2
1
Reni wrote:
Two points are on the opposite sides of a square who side measures 4. Which of the following could be the distance between these two points?

(A)3.8
(B)5
(C)6
(D)7
(E)9

The shortest distance between any two points which are on opposite sides of a square is the length of the side of the square.
The longest distance between any two points which are on a square is the length of the diagonal of the square.
Attachment:

Untitled.png [ 3.63 KiB | Viewed 1592 times ]

So, the distance between these two points must be more than or equal to 4 and less than or equal to $$\sqrt{4^2+4^2}<6$$. The only option which fall into this range is B.

_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12217
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Two points are on the opposite sides of a square who sides  [#permalink]

### Show Tags

04 Feb 2016, 00:00
1
Hi All,

With a bit of logic, and using the answer choices as reference, you can answer this question without having to do ANY calculations.

We're told that two points are on the opposite sides of a square whose sides are 4. We're asked which of the following COULD be the distance between these two points.

Since we don't know exactly where the two points are, we should start with what would be the SHORTEST distance between them, then we can work 'up' from there.

If the points were at the exact some 'place' on opposite sides, then they would be the same distance as the length of a side: 4. That length is the SHORTEST distance between possible points, so Answer A is impossible. As we slide either (or both) points along the sides of the square, the distance will become GREATER than 4. So we could move one (or both) of the points so that they were 4.1 apart (or 4.2 or 4.325, etc.). Logically, the answer CANNOT be 6, because if 6 were a possibility, then 5 would ALSO be a possibility. Since there's only one correct answer to this question, it MUST be the smallest number that is greater than 4...

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Non-Human User
Joined: 09 Sep 2013
Posts: 7770
Re: Two points are on the opposite sides of a square who sides  [#permalink]

### Show Tags

27 Jul 2018, 16:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Two points are on the opposite sides of a square who sides &nbs [#permalink] 27 Jul 2018, 16:39
Display posts from previous: Sort by

# Events & Promotions

 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®.