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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT Strategy Webinar November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. # Two points are on the opposite sides of a square who sides  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics 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, 10:24 3 00:00 Difficulty: 25% (medium) Question Stats: 73% (01:20) correct 27% (01:20) wrong based on 113 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: 50583 Re: Two points are on the opposite sides of a square who sides [#permalink] ### Show Tags 26 Jul 2014, 10:46 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 1713 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. Answer: B. _________________ EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 12853 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 03 Feb 2016, 23:00 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... Final Answer: 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
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Re: Two points are on the opposite sides of a square who sides  [#permalink]

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27 Jul 2018, 15:39
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Re: Two points are on the opposite sides of a square who sides &nbs [#permalink] 27 Jul 2018, 15:39
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# Two points are on the opposite sides of a square who sides

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