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

 It is currently 15 Dec 2019, 03:23

### 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

# If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59727
If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

### Show Tags

12 Nov 2018, 01:25
00:00

Difficulty:

25% (medium)

Question Stats:

66% (01:01) correct 34% (01:34) wrong based on 147 sessions

### HideShow timer Statistics

If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

### Show Tags

12 Nov 2018, 03:04
Bunuel wrote:
If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1

min value x=1 and y=2
max value x=4 , y=9
x-y
(1-2)<x-y<(4-9)
-1<(x-y)<-5
-1<x-y>5
option A, sign seems to be wrong given in option A...
Manager
Joined: 01 Jan 2018
Posts: 78
Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

### Show Tags

12 Nov 2018, 03:10
D imo
For min value x can be 2 and y can be 10.
For max value x can be 5 and y can be 3.
So range of x-y will be as
Between -8 and 2.

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
Intern
Joined: 24 Oct 2018
Posts: 3
If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

### Show Tags

12 Nov 2018, 16:19
The question stem does not specify x or y as integers, therefore they could be 2.01, 3.01, 9.99, etc. for example.

1) Plug in the highest and lowest possible values.
2) To keep it simple, have x as 2 and y as 10
x-y = 2 - 10 = -8
-8 is the lowest possible number

Now have x = 5 and y = 3
x-y = 5 - 3 = 2
2 is the highest possible number.

3) The possible range is -8 < x - y < 2

D
Intern
Joined: 21 Mar 2016
Posts: 20
Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

### Show Tags

14 Nov 2018, 08:42
imo,
lowest and highest value of X = 2 and 4
lowest and highest value of Y = 4 and 9
so the range should be -7 < X-Y < 0

thank you!
VP
Joined: 31 Oct 2013
Posts: 1492
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

### Show Tags

27 Nov 2018, 18:42
Bunuel wrote:
If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1

4 values are possible in this kinda question.

5- 10 = -5

2 - 10 = -8

5 - 3 = 2

3 -2=1.

Max = 2
min = -8

-8<x<2

all the values fall into this range.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8701
Location: United States (CA)
Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss  [#permalink]

### Show Tags

21 Jan 2019, 19:24
Bunuel wrote:
If 2 < x < 5 and 3 < y < 10, which of the following expresses the possible range of values for x – y ?

A. −1 < x – y < 5
B. −1 < x – y < 2
C. −5 < x – y < 2
D. −8 < x – y < 2
E. −8 < x – y < −1

To determine the smallest difference of x and y, we want x to be as small as possible and y to be as large as possible. Thus, the smallest difference of x and y is 2 - 10 = -8.

To determine the largest difference of x and y, we want x to be as large as possible and y to be as small as possible. Thus, the largest difference of x and y is 5 - 3 = 2.

Thus, -8 < x - y < 2.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss   [#permalink] 21 Jan 2019, 19:24
Display posts from previous: Sort by

# If 2 < x < 5 and 3 < y < 10, which of the following expresses the poss

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne