Jul 13 10:00 PM PDT  11:00 PM PDT Take 20% off the plan of your choice, now through midnight on 7/13 Jul 14 08:00 PM PDT  09:00 PM PDT A better GRE prep experience. We believe GRE prep should be real education that prepares you not just for the test, but for the challenges you’ll face as you earn your graduate degree and advance your career. Jul 15 08:00 PM PDT  09:00 PM PDT Regardless of whether you choose to study with Greenlight Test Prep, I believe you'll benefit from my many free resources. Jul 22 07:30 AM PDT  08:30 AM PDT Learn the basics of quadratics to demystify one of the most commonly feared concepts on the GRE and GMAT.
Author 
Message 
TAGS:


Founder
Joined: 18 Apr 2015
Posts: 12080
Followers: 256
Kudos [?]:
3014
[0], given: 11279

The distance from point X to point Y is 20 miles, and the di [#permalink]
27 Jun 2018, 10:05
Question Stats:
82% (00:55) correct
17% (01:34) wrong based on 47 sessions
The distance from point X to point Y is 20 miles, and the distance from point X to point Z is 12 miles. If d is the distance, in miles, between points Y and Z. then the range of possible values for d is indicated by (A) \(8 \leq d \leq 20\) (B) \(8 \leq d \leq 32\) (C) \(12 \leq d \leq 20\) (D) \(12 \leq d \leq 32\) (E) \(20 \leq d \leq 32\)
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.




Active Member
Joined: 29 May 2018
Posts: 126
Followers: 0
Kudos [?]:
106
[1]
, given: 4

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
06 Jul 2018, 06:58
1
This post received KUDOS
Carcass wrote: The distance from point X to point Y is 20 miles, and the distance from point X to point Z is 12 miles. If d is the distance, in miles, between points Y and Z. then the range of possible values for d is indicated by
(A) \(8 \leq d \leq 20\)
(B) \(8 \leq d \leq 32\)
(C) \(12 \leq d \leq 20\)
(D) \(12 \leq d \leq 32\)
(E) \(20 \leq d \leq 32\) This is tricky. This can be considered to a triangle. XY = 20 ( one side) XZ = 12 ( second one ) YZ = x (third side). Now we need to get the value of X. Third side = \(difference between two sides \leq X \leq sum of two sides\) \(20 12 \leq X \leq 20 + 12\) => \(8 \leq X \leq 32\) B.



Intern
Joined: 25 May 2018
Posts: 7
Followers: 0
Kudos [?]:
2
[0], given: 1

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
13 Jul 2018, 02:08
msk0657 wrote: Carcass wrote: The distance from point X to point Y is 20 miles, and the distance from point X to point Z is 12 miles. If d is the distance, in miles, between points Y and Z. then the range of possible values for d is indicated by
(A) \(8 \leq d \leq 20\)
(B) \(8 \leq d \leq 32\)
(C) \(12 \leq d \leq 20\)
(D) \(12 \leq d \leq 32\)
(E) \(20 \leq d \leq 32\) This is tricky. This can be considered to a triangle. XY = 20 ( one side) XZ = 12 ( second one ) YZ = x (third side). Now we need to get the value of X. Third side = \(difference between two sides \leq X \leq sum of two sides\) \(20 12 \leq X \leq 20 + 12\) => \(8 \leq X \leq 32\) B. Hi @msk0657, Please note that in a triangle following inequality holds: Difference between two sides < Third side < Sum of the two sides. In the above question, the equal sign will hold when all the points(i.e. x,y, and z) will lie on the straight line. Thanks.



VP
Joined: 20 Apr 2016
Posts: 1279
WE: Engineering (Energy and Utilities)
Followers: 20
Kudos [?]:
1236
[1]
, given: 242

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
13 Jul 2018, 05:41
1
This post received KUDOS
msk0657 wrote: Third side = \(difference between two sides \leq X \leq sum of two sides\)
B.
I am afraid this is not the triangle rule The property of triangle states that: Triangle Inequality: which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
_________________
If you found this post useful, please let me know by pressing the Kudos Button
Rules for Posting
Got 20 Kudos? You can get Free GRE Prep Club Tests
GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests



GRE Instructor
Joined: 10 Apr 2015
Posts: 3535
Followers: 133
Kudos [?]:
4009
[1]
, given: 65

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
23 Jun 2020, 13:42
1
This post received KUDOS
If we think of XY and XZ as 2 sides of a triangle, we can use the following rule to find the range of values for YZ: If two sides of a triangle have lengths A and B, then: DIFFERENCE between A and B < length of third side < SUM of A and B When we apply this property, we get: 8 < YZ < 32 ASIDE: This looks a lot like answer choice B, except B features "less than or equal to" symbols (≤). The reason we need "≤" is that XYZ need not be a triangle. So, we must also include the possibility that X, Y and Z lie in a straight line. For this reason, the correct answer is B
_________________
Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails



Founder
Joined: 18 Apr 2015
Posts: 12080
Followers: 256
Kudos [?]:
3014
[0], given: 11279

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
23 Jun 2020, 13:43
Thank you for the explanation
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.



Manager
Joined: 10 Feb 2020
Posts: 230
Followers: 1
Kudos [?]:
56
[0], given: 128

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
26 Jun 2020, 02:15
How can we solve it by placing the points on number line?
_________________
Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!



Founder
Joined: 18 Apr 2015
Posts: 12080
Followers: 256
Kudos [?]:
3014
[1]
, given: 11279

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
26 Jun 2020, 03:18
1
This post received KUDOS
I strongly recommend to you read our book. There is the chapter about lines, word problem and so forth If you do not strong theory foundation you will fly always blind https://greprepclub.com/forum/grequant ... tml#p52437And here https://greprepclub.com/forum/greprepcl ... html#p5077You need practice but without theory and your skill baseline, you will end up to take 10 times to learn and master something Regards
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.




Re: The distance from point X to point Y is 20 miles, and the di
[#permalink]
26 Jun 2020, 03:18





