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

 It is currently 25 Jun 2018, 01:14

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If –3 < x < –1 and 3 < y < 7, which of the following best describes x

Author Message
TAGS:

### Hide Tags

SVP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1549
Location: Pakistan
GPA: 3.39
If –3 < x < –1 and 3 < y < 7, which of the following best describes x [#permalink]

### Show Tags

04 Sep 2017, 00:03
00:00

Difficulty:

35% (medium)

Question Stats:

66% (01:08) correct 34% (01:12) wrong based on 71 sessions

### HideShow timer Statistics

If –3 < x < –1 and 3 < y < 7, which of the following best describes $$\frac{x-y}{2}$$
?

(A) −5 < $$\frac{x−y}{2}$$ < −2
(B) −3 < $$\frac{x−y}{2}$$ < −1
(C) −2 < $$\frac{x−y}{2}$$ < 0
(D) 2 < $$\frac{x−y}{2}$$ < 5
(E) 3 < $$\frac{x−y}{2}$$ < 7

_________________

Official PS Practice Questions
Press +1 Kudos if this post is helpful

Senior Manager
Joined: 02 Jul 2017
Posts: 294
GMAT 1: 730 Q50 V38
If –3 < x < –1 and 3 < y < 7, which of the following best describes x [#permalink]

### Show Tags

04 Sep 2017, 00:24
1
Given : –3 < x < –1 and 3 < y < 7
Find (x-y)/2 => (x/2 -y/2)

we can rewrite:
–3 < x < –1 => –3/2 < x/2 < –1/2
3 < y < 7 => 3/2 < y/2 < 7/2

Number line
====-3/2===-1/2===3/2===7/2====

Now (x/2-y/2) ...
we have to find range ie highest and lowest difference
Largest difference = smallest number of x and largest no. of y
= -3/2 - 7/2 = -5

smallest difference = largest number of x and smallest no. of y
= -1/2 - 3/2 = -2

therefore -5< (x-y)/2 <-2

If –3 < x < –1 and 3 < y < 7, which of the following best describes x   [#permalink] 04 Sep 2017, 00:24
Display posts from previous: Sort by