It is currently 17 Feb 2018, 18:41

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 2s > 8 and 3t < 9

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

Hide Tags

2 KUDOS received
Intern
Intern
avatar
Joined: 01 Feb 2013
Posts: 9
Location: United States
Concentration: Finance, Technology
GPA: 3
WE: Analyst (Computer Software)
If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 25 Mar 2013, 11:13
2
This post received
KUDOS
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (00:55) correct 26% (00:53) wrong based on 476 sessions

HideShow timer Statistics

If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III
[Reveal] Spoiler: OA

_________________

Goal: 25 KUDOZ and higher scores for everyone!


Last edited by tulsa on 25 Mar 2013, 12:30, edited 2 times in total.
4 KUDOS received
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 625
Premium Member
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 25 Mar 2013, 11:18
4
This post received
KUDOS
tulsa wrote:
If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III



s>4

t<3 (multiply by -1) --> -t>-3

Add both of them

Thus s-t >4-3

or s-t>1. As none of the options given are greater than 1, the answer is none.

A.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

3 KUDOS received
Intern
Intern
avatar
Joined: 22 Jan 2010
Posts: 24
Location: India
Concentration: Finance, Technology
GPA: 3.5
WE: Programming (Telecommunications)
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 27 Mar 2013, 06:18
3
This post received
KUDOS
If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III

Solution :
----------
2s > 8 => s > 4
3t < 9 => t < 3

The given values can be represented on the number line as follows :

--t-----------3---------------4--------s-----------
|----+ve---|---------1-----|-+ve-+|

So,s-t will be greater than 1.
Correct option is A.
--------------------------------------

Press KUDOS if you like my post.
_________________

Please press +1 KUDOS if you like my post.

Intern
Intern
avatar
Joined: 02 May 2013
Posts: 8
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 04 Jul 2015, 01:00
Hi,


The Problem description is not precise, could you provide clear problem solving strategy.

Thanks.
_________________

Kind Regards,

J

"When the going gets tough, the tough get going"

Expert Post
1 KUDOS received
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5647
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 04 Jul 2015, 01:46
1
This post received
KUDOS
Expert's post
Sapient wrote:
Hi,


The Problem description is not precise, could you provide clear problem solving strategy.

Thanks.



If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III

we have two equations..
2s > 8 .. s>4, so' s' can be 4.1,5,5.05 etc
and 3t < 9 .. t<3 so 't'can be 2.9999, 2,-1 etc..

if we take the lowest possible difference between s and t, we will take lowest value of s, which is just above 4 and highest value of t, which is just lower to 3..
s-t >4.0000000001 -2.999999999 .... so s-t>1
therefore all values of -1,0,1 are not possible
ans none A
hope it helped
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


BANGALORE/-

Intern
Intern
avatar
B
Joined: 10 Oct 2014
Posts: 16
GPA: 3.47
WE: Marketing (Advertising and PR)
GMAT ToolKit User
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 04 Oct 2015, 14:14
I understand how we get s>4 and t<3, but I'm having a hard time wrapping my head around why t cannot be negative. Can someone please explain?
Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2684
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 04 Oct 2015, 14:22
ada453 wrote:
I understand how we get s>4 and t<3, but I'm having a hard time wrapping my head around why t cannot be negative. Can someone please explain?


We don't need to check when t<0 but for the sake of your question, even if t <0 ---> -t>0 and you know that s>0, giving you s-t > 1 for all values of s and t as s>1

Any positive quantity added to a quantity >1 will give you the sum as >1

Consider s= 7, t= -5 or -0.3

Both these cases make it s-t >1.

Hope this helps.
Intern
Intern
avatar
B
Joined: 10 Oct 2014
Posts: 16
GPA: 3.47
WE: Marketing (Advertising and PR)
GMAT ToolKit User
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 05 Oct 2015, 10:50
Thank you. I neglected to utilize the fact that s must be positive when testing cases. Appreciate the help
Expert Post
Top Contributor
SVP
SVP
User avatar
P
Joined: 11 Sep 2015
Posts: 2049
Location: Canada
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 06 Feb 2018, 10:33
Expert's post
Top Contributor
tulsa wrote:
If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III


Given: 2s > 8
Divide both sides by 2 to get: s > 4

Given: 3t < 9
Divide both sides by 3 to get: t < 3

NOTE: If we have two inequalities with the inequality symbols facing in the same direction, we can add the inequalities to learn something new.

So, take t < 3 and multiply both sides by -1 to get: -t > -3 [aside: when we divide or multiply both sides of an inequality by a NEGATIVE value, we mist REVERSE the symbol]

We now have:
s > 4
-t > -3

When we ADD these two inequalities, we get:
s - t > 1

If s - t > 1, then:
I) s - t CANNOT equal -1
II) s - t CANNOT equal 0
III) s - t CANNOT equal 1

Answer: A

RELATED VIDEOS



_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Intern
Intern
avatar
Joined: 30 Nov 2017
Posts: 9
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 08 Feb 2018, 22:48
2s > 8 and 3t < 9

So, s > 4 and t < 3

Assume
s = 4 + ds
t = 3 - dt

So, s - t = (4 + ds) - (3 - dt)
s - t = 1 + (ds + dt)

So, s - t has to be > 1

None of the given option qualifies.
Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1975
Re: If 2s > 8 and 3t < 9 [#permalink]

Show Tags

New post 12 Feb 2018, 16:10
tulsa wrote:
If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III


We see that s > 4 and that t < 3. Since s is always greater than t, the difference cannot be -1 or zero.

Furthermore, since s > 4 and t < 3, we see that s and t are more than 1 unit apart, so the difference cannot be 1.

Alternate Solution:

Let’s divide each side of 2s > 8 by 2: s > 4

Let’s divide each side of 3t < 9 by -3, paying attention to change the direction of the inequality since we are dividing by a negative number: -t > -3

Let’s add the two inequalities together: s - t > 1

We see that none of the provided numbers is greater than 1.

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If 2s > 8 and 3t < 9   [#permalink] 12 Feb 2018, 16:10
Display posts from previous: Sort by

If 2s > 8 and 3t < 9

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.