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

 It is currently 22 Oct 2019, 15:35 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.  A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If

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

Hide Tags

Manager  G
Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34 GPA: 4
WE: Information Technology (Computer Software)
A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

1
8 00:00

Difficulty:   75% (hard)

Question Stats: 52% (01:39) correct 48% (01:59) wrong based on 130 sessions

HideShow timer Statistics

A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If the length of the sides of the rectangle are integers and the area is less than or equal to 20, how many distinct values can a take?

A. 2
B. 5
C. 10
D. 11
E. Any integer ≤ 5 except zero.
Manager  S
Joined: 30 Mar 2017
Posts: 70
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

3
C 10
a could be negative or positive. But absolute value will be less than equal to 5 and also a cannot be equal to zero. So answer is 10 values from 5 to -5. Excluding zero

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
Manager  G
Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34 GPA: 4
WE: Information Technology (Computer Software)
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

BeingHan wrote:
C 10
a could be negative or positive. But absolute value will be less than equal to 5 and also a cannot be equal to zero. So answer is 10 values from 5 to -5. Excluding zero

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

HI BeingHan: Thanks for your reply.Can you please clarify why the answer can't be E.

This is what I have done: LB≤20 >> 4a≤20 >> a≤5.
So, it can take any integral value except zero.
Manager  S
Joined: 30 Mar 2017
Posts: 70
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

Hi.
Any integer less than equal to 5 can have values less than -5. Such as -6 ,-7 etc. Which don't support the inequality.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
Manager  G
Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34 GPA: 4
WE: Information Technology (Computer Software)
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

BeingHan wrote:
Hi.
Any integer less than equal to 5 can have values less than -5. Such as -6 ,-7 etc. Which don't support the inequality.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

Hi,
Values such as -6 ,-7 etc support this inequality a≤5 right?
Manager  S
Joined: 30 Mar 2017
Posts: 70
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

2
The inequality I referred to here is
Area <= 20. So if we were to use a= -6 , it would lead to area being 24. Hence going against the inequality.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
Manager  G
Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34 GPA: 4
WE: Information Technology (Computer Software)
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

BeingHan wrote:
The inequality I referred to here is
Area <= 20. So if we were to use a= -6 , it would lead to area being 24. Hence going against the inequality.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

Thanks, makes sense.
Intern  B
Joined: 01 Feb 2016
Posts: 3
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

Hi,
Could anyone please help me how is the range -5 to 5 excluding zero? How is -6 against the inequality?

Thanks
Manager  S
Joined: 06 Jul 2014
Posts: 88
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 660 Q48 V32 Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

The area of rectangle can't be negative.
Manager  B
Joined: 07 Jun 2017
Posts: 100
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

1)4*1
2)4*2
3)4*3
4)4*4
5)4*5
6)4*|-1|
7)4*|-2|
8)4*|-3|
9)4*|-4|
10) 4* |-5|

there will be total of 10?
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5032
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If  [#permalink]

Show Tags

1
DHAR wrote:
A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If the length of the sides of the rectangle are integers and the area is less than or equal to 20, how many distinct values can a take?

A. 2
B. 5
C. 10
D. 11
E. Any integer ≤ 5 except zero.

given x*y <=20
which would stand true only for ranges given x = 4 and y = (-5 to 5) since area cannot be 0 so total
possible values if y = 10
IMO C Re: A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If   [#permalink] 04 Feb 2019, 02:22
Display posts from previous: Sort by

A rectangle is formed using the x axis, y axis, x=4 and y=a lines. If

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

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