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absolute value

Expert replies
Source: — Data Sufficiency |

by shankar.ashwin » Tue Oct 18, 2011 1:00 am
M could be 0 here. Hence C
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by neelgandham » Tue Oct 18, 2011 2:51 am
Is M<0?

1) -M = absolute value of M

=> -M = |M| => M <=0 (|M| is always a positive number or 0, for -M to be a positive number or 0, M should be a negative number or a 0) Hence insufficient.

2) M^2=9

=> M = -3 or + 3, Insufficient

[spoiler]Option 1 + 2 ==> M = -3 Sufficient Option C[/spoiler]
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by mehrasa » Tue Oct 18, 2011 4:15 am
neelgandham wrote:Is M<0?

1) -M = absolute value of M

=> -M = |M| => M <=0 (|M| is always a positive number or 0, for -M to be a positive number or 0, M should be a negative number or a 0) Hence insufficient.

2) M^2=9

=> M = -3 or + 3, Insufficient

[spoiler]Option 1 + 2 ==> M = -3 Sufficient Option C[/spoiler]

thanx for ur reply... but to me, when a No. come out of absolute value negative(as Statement 1 says) that the number is negative ==> M should be negative... why u are saying that M can be negative or ZERo???????????
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by Brent@GMATPrepNow » Tue Oct 18, 2011 7:04 am
mehrasa wrote: thanx for ur reply... but to me, when a No. come out of absolute value negative(as Statement 1 says) that the number is negative ==> M should be negative... why u are saying that M can be negative or ZERo???????????
Statement 1 tells us that: -M = |M|
There are two possible conclusions here:
a) M is negative. For example, if M=-2, we get -(-2) = |-2| TRUE
b) M is zero. If M=0, we get: -0 = |-0| TRUE

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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