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Is M < 0? 1. -M = |-M| 2. M^2 =9

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CEO
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Is M < 0? 1. -M = |-M| 2. M^2 =9 [#permalink] New post 21 Oct 2007, 19:47
Is M < 0?

1. -M = |-M|
2. M^2 =9
Director
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Re: Challenge - Absolute Values [#permalink] New post 21 Oct 2007, 19:49
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


Should be A. if -m is +ve, m should be -ve.
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Re: Challenge - Absolute Values [#permalink] New post 21 Oct 2007, 21:01
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


Get A.

Stat 2: Started with stat 2 since it looked simpler. M can be 3 or -3. Insuff.

ACE left.

Stat 1: for -M to be equal to |-M|, M has to be negative; suff.

Plugging in numbers will prove this:

M = 4, -M = -4, |-M| = |-4| = 4; -4 is not equal to 4; M cannot be +ve
M = -4, -M = 4, |-M| = |4| = 4; 4 = 4; M has to be -ve
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Re: Challenge - Absolute Values [#permalink] New post 21 Oct 2007, 21:16
Fistail wrote:
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


Should be A. if -m is +ve, m should be -ve.


I think the answer is C,

1) INSUFF, Fistal you forgot about 0
2) INSUFF -3 or +3

Together suff since it should be less or equal to zero and -3 or +3, in other words -3

Ans: C
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Re: Challenge - Absolute Values [#permalink] New post 21 Oct 2007, 22:05
Ferihere wrote:
Fistail wrote:
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


Should be A. if -m is +ve, m should be -ve.


I think the answer is C,

1) INSUFF, Fistal you forgot about 0
2) INSUFF -3 or +3

Together suff since it should be less or equal to zero and -3 or +3, in other words -3

Ans: C


oh yah. thats a good catch on great trap.
you are correct. thanks.
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Re: Challenge - Absolute Values [#permalink] New post 22 Oct 2007, 02:50
Fistail wrote:
Ferihere wrote:
Fistail wrote:
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


Should be A. if -m is +ve, m should be -ve.


I think the answer is C,

1) INSUFF, Fistal you forgot about 0
2) INSUFF -3 or +3

Together suff since it should be less or equal to zero and -3 or +3, in other words -3

Ans: C


oh yah. thats a good catch on great trap.
you are correct. thanks.


Fistal, could you please tell me how to test it with value ZERO? please plese sir..
Senior Manager
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Re: Challenge - Absolute Values [#permalink] New post 22 Oct 2007, 06:25
yash500 wrote:
Fistail wrote:
Ferihere wrote:
Fistail wrote:
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


Should be A. if -m is +ve, m should be -ve.


I think the answer is C,

1) INSUFF, Fistal you forgot about 0
2) INSUFF -3 or +3

Together suff since it should be less or equal to zero and -3 or +3, in other words -3

Ans: C


oh yah. thats a good catch on great trap.
you are correct. thanks.


Fistal, could you please tell me how to test it with value ZERO? please plese sir..


Let me try to explain how to get the answer from 1. -M = |-M|

I) |-M| = |M| ; from |a| = |-a|
II) |M| = -M

Case 1: if M > 0, then we get M = -M
2M = 0
M = 0

Case 2: if M < 0, then we get -M = -M
M - M = 0
M = Real Number
But this Real Number is limited by the constraint M < 0. Therefore, the answer for case 2 is M < 0

Case 1 + Case 2 we get M <= 0.

At the end, the answer will be (C)
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Re: Challenge - Absolute Values [#permalink] New post 23 Oct 2007, 11:22
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


hey bmwhype2,

Can you post the OAs to your questions? most of the questions you submitted do not have OAs.

Highly appreciated for your cooperation.
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Re: Challenge - Absolute Values [#permalink] New post 23 Oct 2007, 12:24
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


A..........info 1 gives M<0
info 2 insuff.....
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Re: Challenge - Absolute Values [#permalink] New post 23 Oct 2007, 12:26
Fistail wrote:
Ferihere wrote:
Fistail wrote:
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


Should be A. if -m is +ve, m should be -ve.


I think the answer is C,

1) INSUFF, Fistal you forgot about 0
2) INSUFF -3 or +3

Together suff since it should be less or equal to zero and -3 or +3, in other words -3

Ans: C


oh yah. thats a good catch on great trap.
you are correct. thanks.


Oopss missed ZERO.......C is the right answer!
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Re: Challenge - Absolute Values [#permalink] New post 04 Nov 2007, 02:27
bmwhype2 wrote:
Is M < 0?

1. -M = |-M|
2. M^2 =9


This is how i solved it.

Statement (1) tells us the right side is a non negative number. Absolute values are NON NEGATIVE. Therefore, the right side is 0 or a positive #. The left side is negative M. The only way the left side (with its negative M) can equal the right side (with its positive or zero value) is if M is a negative or zero value. We have dont have an exact value for M so we cant answer the stem. INSUFF

Statement (1) tells us m^2 = 9, giving us m=3 and m=-3. Two values. INSUFF

Taken together, M=-3. Stem is answerable. Therefore C.
Re: Challenge - Absolute Values   [#permalink] 04 Nov 2007, 02:27
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Is M < 0? 1. -M = |-M| 2. M^2 =9

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