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

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Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 118642 [0], given: 12006

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

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14 Mar 2017, 02:18
Expert's post
5
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Difficulty:

55% (hard)

Question Stats:

60% (02:26) correct 40% (01:08) wrong based on 108 sessions

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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
[Reveal] Spoiler: OA

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Kudos [?]: 118642 [0], given: 12006

Manager
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14 Mar 2017, 02:23
1
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

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Manager
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Concentration: General Management, Finance
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WE: Engineering (Telecommunications)
Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink]

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16 Apr 2017, 06:23
Bunuel
Please explain how to tackle such questions or mention any related topic
TIA
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Got Q42,V17
Target#01 Q45,V20--April End

Kudos [?]: 19 [0], given: 75

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Joined: 02 Aug 2009
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Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink]

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16 Apr 2017, 07:03
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
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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

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Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink]

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17 Apr 2017, 11:26
1
KUDOS
Expert's post
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.

[Reveal] Spoiler:
A

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

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# Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Kudos [?]: 3180 [1] , given: 170 Manager Joined: 08 Oct 2016 Posts: 191 Kudos [?]: 19 [0], given: 75 Location: United States Concentration: General Management, Finance GPA: 2.9 WE: Engineering (Telecommunications) Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] ### Show Tags 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: [Reveal] 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 _________________ Got Q42,V17 Target#01 Q45,V20--April End Kudos [?]: 19 [0], given: 75 Manager Joined: 02 Feb 2016 Posts: 79 Kudos [?]: 4 [0], given: 33 GMAT 1: 690 Q43 V41 Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] ### Show Tags 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. Kudos [?]: 4 [0], given: 33 Senior Manager Joined: 13 Mar 2017 Posts: 390 Kudos [?]: 70 [0], given: 40 Location: India Concentration: General Management, Entrepreneurship GPA: 3.8 WE: Engineering (Energy and Utilities) Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] ### Show Tags 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. [Reveal] Spoiler: Option A is correct _________________ MBA Social Network : WebMaggu Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) Kudos [?]: 70 [0], given: 40 EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 9563 Kudos [?]: 3180 [0], given: 170 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink] ### Show Tags 12 May 2017, 11:37 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 _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests Free

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Kudos [?]: 3180 [0], given: 170

Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the   [#permalink] 12 May 2017, 11:37
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