 It is currently 26 Mar 2019, 03:59 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The distance from point X to point Y is 20 miles, and the di  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator  Joined: 18 Apr 2015
Posts: 5917
Followers: 96

Kudos [?]: 1158 , given: 5488

The distance from point X to point Y is 20 miles, and the di [#permalink]
Expert's post 00:00

Question Stats: 88% (00:59) correct 11% (02:44) wrong based on 17 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) $$20 \leq d \leq 32$$
[Reveal] Spoiler: OA

_________________ GRE Forum Moderator
Joined: 29 May 2018
Posts: 125
Followers: 0

Kudos [?]: 85  , given: 4

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
1
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 , given: 1

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
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. Director Joined: 20 Apr 2016
Posts: 828
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603  , given: 124

Re: The distance from point X to point Y is 20 miles, and the di [#permalink]
1
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 https://greprepclub.com/forum/rules-for ... -1083.html Re: The distance from point X to point Y is 20 miles, and the di   [#permalink] 13 Jul 2018, 05:41
Display posts from previous: Sort by

# The distance from point X to point Y is 20 miles, and the di  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.