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

It is currently 18 Dec 2018, 14:27

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

In the figure below, which of the following points is three tim

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

Hide Tags

SVP
SVP
User avatar
V
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1937
Location: Pakistan
GPA: 3.39
Premium Member CAT Tests
In the figure below, which of the following points is three tim  [#permalink]

Show Tags

New post 05 Jun 2017, 07:43
2
4
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (01:44) correct 37% (02:06) wrong based on 81 sessions

HideShow timer Statistics

In the figure below, which of the following points is three times as far from P as from Q?

(A) (0, 3)
(B) (1, 1)
(C) (4, 5)
(D) (2, 3)
(E) (4, 1)

Attachments

5t5t5.jpg
5t5t5.jpg [ 12.81 KiB | Viewed 898 times ]


_________________

Final days of the GMAT Exam? => All GMAT Flashcards.
This Post Helps = Press +1 Kudos
Best of Luck on the GMAT!!

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3327
Location: India
GPA: 3.12
Premium Member CAT Tests
In the figure below, which of the following points is three tim  [#permalink]

Show Tags

New post 05 Jun 2017, 08:19
The points are P(1,4) and Q(3,2).
We need to evaluate which of the points has a 3 times a distance from P, when compared to Q.

In option E,
Distance between P and point(4,1) is \(\sqrt{(4-1)^2+(1−4)^2}\) = \(3\sqrt{2}\)
Distance between Q and point(4,1) is \(\sqrt{(3-4)^2 + (2-1)^2}\) = \(\sqrt{2}\)

Option E is our answer
_________________

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

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2222
Premium Member CAT Tests
In the figure below, which of the following points is three tim  [#permalink]

Show Tags

New post 05 Jun 2017, 14:58
SajjadAhmad wrote:
In the figure below, which of the following points is three times as far from P as from Q?

(A) (0, 3)
(B) (1, 1)
(C) (4, 5)
(D) (2, 3)
(E) (4, 1)

Nice question. In the case of unit graphs, we can trust our eyes on the really obvious incorrect answers.

1. I started there, and eliminated (A), (C), and (D) in about 10 seconds.

(A) at (0, 3) is closer to P than to Q. Incorrect.

(C) at (4, 5) looks equidistant (and I didn't do the math, just counted: it is up 1 and over 2 from P, over 1 and up 2 for Q) -- at the least, it's certainly not three times as far from P as it is from Q.

(D) at (2, 3) also looks equidistant (it's exactly one unit square diagonal away from both P and Q); again, at the least, it's not three times farther from P than from Q

2. To evaluate (B) and (E), I used the Pythagorean theorem. And I counted unit squares to get lengths.

(B) at (1, 1) is 3 units away from P.

(B) is 2 horizontal units away from Q (length of one triangle leg), and 1 vertical unit away from Q (length of the other leg). These two legs form a right triangle, so \(a^2 + b^2 = c^2\), where c is the distance from Q.

\(1^2 + 2^2 = distance^2\), or 5 = distance squared, so \(\sqrt{5}\)= distance from Q. The latter is about 2.2. Compare Q's distance of 2.2 with P's distance of 3. (B) isn't far enough away from P. Reject. And hope the next one works.

3. (E) at (4, 1) is 3 horizontal units away from P, and 3 vertical units away from P. Again, Pythagorean theorem for distance from P:

\(3^2 + 3^2 = D^2\), so

\(18 = D^2\), and D =\(\sqrt{18}\), which simplifies to \(3\sqrt{2}\)

(E) is 1 vertical and 1 horizontal unit away from Q.

That's a 45-45-90 right triangle with sides in ratio \(x : x : x\sqrt{2}\).

Legs = 1, so hypotenuse \(= (1)(\sqrt{2}\)). Distance from Q is \(\sqrt{2}\).

P's distance from (E) is \(3\sqrt{2}\), exactly three times that of Q's distance from (E). Correct

Answer E
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9206
Premium Member
Re: In the figure below, which of the following points is three tim  [#permalink]

Show Tags

New post 24 Sep 2018, 03:15
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: In the figure below, which of the following points is three tim &nbs [#permalink] 24 Sep 2018, 03:15
Display posts from previous: Sort by

In the figure below, which of the following points is three tim

  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®.