Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 26 Oct 2016, 04:30

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 m<0, which of the following must be true?

Author Message
TAGS:

Hide Tags

BSchool Forum Moderator
Joined: 27 Aug 2012
Posts: 1194
Followers: 126

Kudos [?]: 1385 [0], given: 142

If m<0, which of the following must be true? [#permalink]

Show Tags

10 Jun 2013, 20:50
6
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

47% (01:40) correct 53% (00:50) wrong based on 227 sessions

HideShow timer Statistics

If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0

P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 35298
Followers: 6644

Kudos [?]: 85729 [0], given: 10252

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

11 Jun 2013, 00:48
Expert's post
2
This post was
BOOKMARKED
debayan222 wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0

P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?

Since m is a negative number, then it must be less than 1.

Other options:

A. –100 < m < 100 --> if m=-1,000, then this option is not true.

B. m ≤ –1 --> if m=-1/2, then this option is not true.

D. m^2 ≥ 1/4 (m≤-1/2 or m≥1/2) --> if m=-1/4, then this option is not true.

E. –100 < m < 0 --> if m=-1,000, then this option is not true.

P.S. I don't think that it's a 700+ question, more like 600.
_________________
Intern
Joined: 24 May 2013
Posts: 21
Location: United Kingdom
WE: Project Management (Real Estate)
Followers: 0

Kudos [?]: 58 [0], given: 50

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

11 Jun 2013, 02:10
Bunuel

In Option C it says "m less or equal to 1" than if m<0 given in the main condition how does it m<= 1 will always satisfy the condition,

I choose D in doubt as It said m<0 , so my thought process was $$m^2$$ will always be positive, but I was not sure if $$m^2 > 1/2$$

what should be the approach in these kind of problems ?
_________________

Correct me If I'm wrong !! looking for valuable inputs

BSchool Forum Moderator
Joined: 27 Aug 2012
Posts: 1194
Followers: 126

Kudos [?]: 1385 [0], given: 142

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

11 Jun 2013, 02:13
Bunuel wrote:
debayan222 wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0

P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?

Since m is a negative number, then it must be less than 1.

Other options:

A. –100 < m < 100 --> if m=-1,000, then this option is not true.

B. m ≤ –1 --> if m=-1/2, then this option is not true.

D. m^2 ≥ 1/4 (m≤-1/2 or m≥1/2) --> if m=-1/4, then this option is not true.

E. –100 < m < 0 --> if m=-1,000, then this option is not true.

P.S. I don't think that it's a 700+ question, more like 600.

Bunuel,

I've some doubts, hope you'll help me clarifying those...

Here, C appears as the best option. But, generally speaking, for 'must be true' questions I guess it should 'always be true'.If that's so, for m<1, m can be 0.5 and hence it violates the given condition m<0.

I guess I'm thinking in a wrong line and that's why need your clarification to find out where i'm going wrong.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 35298
Followers: 6644

Kudos [?]: 85729 [0], given: 10252

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

11 Jun 2013, 06:35
Expert's post
2
This post was
BOOKMARKED
Manhnip wrote:
Bunuel

In Option C it says "m less or equal to 1" than if m<0 given in the main condition how does it m<= 1 will always satisfy the condition,

I choose D in doubt as It said m<0 , so my thought process was $$m^2$$ will always be positive, but I was not sure if $$m^2 > 1/2$$

what should be the approach in these kind of problems ?

If m is a negative number, then it must be less less than 1.

Consider following:
If $$x=5$$, then which of the following must be true about $$x$$:
A. x=3
B. x^2=10
C. x<4
D. |x|=1
E. x>-10

Answer is E (x>-10), because as x=5 then it's more than -10.

Or:
If $$-1<x<10$$, then which of the following must be true about $$x$$:
A. x=3
B. x^2=10
C. x<4
D. |x|=1
E. x<120

Again answer is E, because ANY $$x$$ from $$-1<x<10$$ will be less than 120 so it's always true about the number from this range to say that it's less than 120.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 35298
Followers: 6644

Kudos [?]: 85729 [0], given: 10252

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

11 Jun 2013, 06:35
debayan222 wrote:
Bunuel wrote:
debayan222 wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0

P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?

Since m is a negative number, then it must be less than 1.

Other options:

A. –100 < m < 100 --> if m=-1,000, then this option is not true.

B. m ≤ –1 --> if m=-1/2, then this option is not true.

D. m^2 ≥ 1/4 (m≤-1/2 or m≥1/2) --> if m=-1/4, then this option is not true.

E. –100 < m < 0 --> if m=-1,000, then this option is not true.

P.S. I don't think that it's a 700+ question, more like 600.

Bunuel,

I've some doubts, hope you'll help me clarifying those...

Here, C appears as the best option. But, generally speaking, for 'must be true' questions I guess it should 'always be true'.If that's so, for m<1, m can be 0.5 and hence it violates the given condition m<0.

I guess I'm thinking in a wrong line and that's why need your clarification to find out where i'm going wrong.

Check here: if-m-0-which-of-the-following-must-be-true-154150.html#p1234728
_________________
Intern
Joined: 08 May 2013
Posts: 11
Followers: 1

Kudos [?]: 23 [0], given: 31

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

12 Jun 2013, 17:34
Bunuel wrote:
debayan222 wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0

P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?

Since m is a negative number, then it must be less than 1.

Other options:

A. –100 < m < 100 --> if m=-1,000, then this option is not true.

B. m ≤ –1 --> if m=-1/2, then this option is not true.

D. m^2 ≥ 1/4 (m≤-1/2 or m≥1/2) --> if m=-1/4, then this option is not true.

E. –100 < m < 0 --> if m=-1,000, then this option is not true.

P.S. I don't think that it's a 700+ question, more like 600.

The only reason I did not select option C was because it says "m ≤ 1 " which also includes a possibility of m=1 but when the question states that m=0 how can this be valid? Is it that we have selected option C because the possible values of m would be a sub set of the larger set (m ≤ 1 ) ?
Math Expert
Joined: 02 Sep 2009
Posts: 35298
Followers: 6644

Kudos [?]: 85729 [0], given: 10252

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

12 Jun 2013, 23:11
sps1604 wrote:
Bunuel wrote:
debayan222 wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0

P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?

Since m is a negative number, then it must be less than 1.

Other options:

A. –100 < m < 100 --> if m=-1,000, then this option is not true.

B. m ≤ –1 --> if m=-1/2, then this option is not true.

D. m^2 ≥ 1/4 (m≤-1/2 or m≥1/2) --> if m=-1/4, then this option is not true.

E. –100 < m < 0 --> if m=-1,000, then this option is not true.

P.S. I don't think that it's a 700+ question, more like 600.

The only reason I did not select option C was because it says "m ≤ 1 " which also includes a possibility of m=1 but when the question states that m=0 how can this be valid? Is it that we have selected option C because the possible values of m would be a sub set of the larger set (m ≤ 1 ) ?

Yes, possible value of m (negative numbers) are a subset of the larger set (m ≤ 1 ).

Check here: if-m-0-which-of-the-following-must-be-true-154150.html#p1234728

Hope it helps.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12239
Followers: 542

Kudos [?]: 151 [0], given: 0

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

21 Jun 2014, 09:14
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 Legend
Joined: 09 Sep 2013
Posts: 12239
Followers: 542

Kudos [?]: 151 [0], given: 0

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

03 Jun 2016, 07:30
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.
_________________
Director
Joined: 18 Oct 2014
Posts: 915
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Followers: 83

Kudos [?]: 192 [0], given: 69

Re: If m<0, which of the following must be true? [#permalink]

Show Tags

03 Jun 2016, 08:54
bagdbmba wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0

P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?

IMO, all the options are wrong.

If option C were m<1 then it holds true, but the option is m<= 1. Since it is given that m<0, it can not be = 1

_________________

I welcome critical analysis of my post!! That will help me reach 700+

Re: If m<0, which of the following must be true?   [#permalink] 03 Jun 2016, 08:54
Similar topics Replies Last post
Similar
Topics:
7 If x < 0, which of the following must be true? 7 03 Dec 2014, 08:19
18 If m<0, which of the following must be true? 15 13 Aug 2014, 10:25
16 If |x| = |y| and xy < 0, which of the following must be true 10 21 Dec 2013, 13:10
10 If -1 < x < 0, which of the following must be true? 11 31 Jan 2013, 06:02
3 If -1 < x < 0, which of the following must be true? 5 23 Oct 2011, 10:49
Display posts from previous: Sort by