NEW HERE? LEARN MORE
closeclose
Last visit was: 09 May 2024, 05:30 It is currently 09 May 2024, 05:30
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93119
Own Kudos [?]: 622383 [14]
Given Kudos: 81810
Send PM
CAT Tests Forum Quiz Mode
If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   14 Mar 2017, 02:18
1
Kudos
13
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

61% (01:42) correct 39% (01:42) wrong based on 249 sessions
Hide Show timer Statistics
If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the value of s – t ?

A. 5
B. 1
C. 1/2
D. -1/2
E. –6
ShowHide Answer
Official Answer
A
User avatar
S
nailin16
Manager
Manager
Joined: 05 Apr 2014
Posts: 111
Own Kudos [?]: 93 [2]
Given Kudos: 255
Location: India
Concentration: Economics, International Business
Schools: ISB '19 Fox"19
GMAT 1: 660 Q48 V33
GPA: 3
Send PM
[#permalink] New post   14 Mar 2017, 02:23
2
Kudos
A
5 can't be obtained.
Coz max value of s allowed is 3
And to get 5 I need t to be (-2)which is not possible

Posted from my mobile device
avatar
S
ehsan090
Manager
Manager
Joined: 08 Oct 2016
Posts: 185
Own Kudos [?]: 37 [0]
Given Kudos: 76
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE:Engineering (Telecommunications)
Send PM
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   16 Apr 2017, 06:23
Bunuel
Please explain how to tackle such questions or mention any related topic
TIA
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11223
Own Kudos [?]: 32364 [1]
Given Kudos: 301
Send PM
Reviews Badge Forum Quiz Mode
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   16 Apr 2017, 07:03
1
Bookmarks
Expert Reply
ehsan090 wrote:
Bunuel
Please explain how to tackle such questions or mention any related topic
TIA



Hi

In such Qs where ranges are given and you are looking for a value...
MANTRA or a helping point will be :- As the variables can take any value within the range, more than often the extremes would B the answer that is A or E.
So A.5 cannot be formed from 3-(- something slightly less than 2)..
But E.-6 can be found as min here will be infinity
User avatar
L
EMPOWERgmatRichC
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21843
Own Kudos [?]: 11676 [1]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   17 Apr 2017, 11:26
1
Kudos
Expert Reply
Hi ehsan090,

You can TEST VALUES to prove which 4 answers ARE possible (and which one is not).

We're told that 3 ≥ S ≥ –3, and T > –2. We're asked which of the following CANNOT be the value of S – T....

IF....
S = 1, T = 0, then S-T could be 1. Eliminate Answer B.
S = 1/2, T = 0, then S-T could be 1/2. Eliminate Answer C.
S = -1/2, T = 0, then S-T could be -1/2. Eliminate Answer D.
S = 0, T = 6, then S-T could be -6. Eliminate Answer E.

There's only one answer remaining...

Final Answer:
Show Spoiler
A


GMAT assassins aren't born, they're made,
Rich
avatar
S
ehsan090
Manager
Manager
Joined: 08 Oct 2016
Posts: 185
Own Kudos [?]: 37 [0]
Given Kudos: 76
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE:Engineering (Telecommunications)
Send PM
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   17 Apr 2017, 21:50
EMPOWERgmatRichC wrote:
Hi ehsan090,

You can TEST VALUES to prove which 4 answers ARE possible (and which one is not).

We're told that 3 ≥ S ≥ –3, and T > –2. We're asked which of the following CANNOT be the value of S – T....

IF....
S = 1, T = 0, then S-T could be 1. Eliminate Answer B.
S = 1/2, T = 0, then S-T could be 1/2. Eliminate Answer C.
S = -1/2, T = 0, then S-T could be -1/2. Eliminate Answer D.
S = 0, T = 6, then S-T could be -6. Eliminate Answer E.

There's only one answer remaining...

Final Answer:
Show Spoiler
A


GMAT assassins aren't born, they're made,
Rich


Thanks EMPOWERgmatRichC
This mean anyhow we must use putting values method to come to answer there is no other method exist am I right?
Actually I feel it is a little time taken procedure and sometime resulted in panic for me when value are negative specially
avatar
B
TheMastermind
Manager
Manager
Joined: 02 Feb 2016
Posts: 75
Own Kudos [?]: 45 [0]
Given Kudos: 40
GMAT 1: 690 Q43 V41
Send PM
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   12 May 2017, 00:18
Doesn't t>-2 mean that it could take assume any value greater than -2? If that's the case, it could be +2 as well which would make the answer 5 possible.
User avatar
D
shashankism
Director
Director
Joined: 13 Mar 2017
Affiliations: IIT Dhanbad
Posts: 628
Own Kudos [?]: 592 [0]
Given Kudos: 88
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy and Utilities)
Send PM
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   12 May 2017, 00:44
Bunuel wrote:
If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the value of s – t ?

A. 5
B. 1
C. 1/2
D. -1/2
E. –6


For t = -2, -1<=s-t<=5
For t=-1, -2<=s-t<=4
and so on..
t can take any values and not only integral values.

So we can see that s-t can attain any values <=5 if t>=-2
If t>-2, s-t<5.


Show Spoiler
Option A is correct
User avatar
L
EMPOWERgmatRichC
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21843
Own Kudos [?]: 11676 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   12 May 2017, 11:37
Expert Reply
TheMastermind wrote:
Doesn't t>-2 mean that it could take assume any value greater than -2? If that's the case, it could be +2 as well which would make the answer 5 possible.


Hi TheMastermind,

You have to pay careful attention to the details of this question - and what it's ultimately asking for. The prompt asks us for what CANNOT be a possible value of (S - T), so proving that four of the answers ARE possible would leave us with the one that is not.

You correctly note that T could be +2, so given the possible range of values for S, what COULD (S-T) equal...? Any value from +1 to -5, inclusive. "5" is NOT in that range.

GMAT assassins aren't born, they're made,
Rich
User avatar
B
frankgraves
Intern
Intern
Joined: 15 Dec 2020
Posts: 36
Own Kudos [?]: 19 [0]
Given Kudos: 19
Send PM
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] New post   10 May 2021, 19:39
ehsan090 wrote:
Bunuel
Please explain how to tackle such questions or mention any related topic
TIA


Hi, just trying to give my 2 cents.
The way I approach this question is by using extreme Max and Min value.

Max :
If we want to Maximize s-t, we have to find maximum value of s and minimum value of t.
Max s = 3
Min t= -1.999.... (a little more than -2)
So Max s-t = 4.999....

Min :
If we want to Minimize s-t, we have to find minimum value of s and maximum value of t.
Min s = -3
Max t = +infinite (very large positive number)
So Min s-t = -infinite (very small negative number)

Now we just need to check the answer options which are not within Max and Min range.
Only A is not within this range as the value will never reach 5.
Hence, A is the answer.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32877
Own Kudos [?]: 828 [0]
Given Kudos: 0
Send PM
Re: If 3 s 3, and t > 2, then which of the following cannot be the [#permalink] New post   18 Jun 2023, 03:26
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: If 3 s 3, and t > 2, then which of the following cannot be the [#permalink]
18 Jun 2023, 03:26
Moderators:
Bunuel
Math Expert
93119 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions