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If a and b are integers, and |a| > |b|, is a |b| < a

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Manager
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Joined: 28 Jul 2004
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Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
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If a and b are integers, and |a| > |b|, is a |b| < a [#permalink] New post 08 Nov 2008, 04:49
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If a and b are integers, and |a| > |b|, is a · |b| < a – b?

(1) a < 0

(2) ab >= 0
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kris

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Re: Modulus problem [#permalink] New post 08 Nov 2008, 05:12
If a and b are integers, and |a| > |b|, is a · |b| < a – b?

(1) a < 0 ,---> for example, if a=-2 and b=1, or a=-2 and b=-1,---> not suff

(2) ab >= 0 ---> if a=2 and b=0, or a=-2 and b= -1, ---> not suff

together, still not suff, for example, if a=-1 and b=-0.5, or a=-2 and b=-0.5

E
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Re: Modulus problem [#permalink] New post 08 Nov 2008, 09:28
Sion wrote:
If a and b are integers, and |a| > |b|, is a · |b| < a – b?

(1) a < 0 ,---> for example, if a=-2 and b=1, or a=-2 and b=-1,---> not suff

(2) ab >= 0 ---> if a=2 and b=0, or a=-2 and b= -1, ---> not suff

together, still not suff, for example, if a=-1 and b=-0.5, or a=-2 and b=-0.5

E


a & b are integers.

|a| > |b|

(1) a -ve , b can be +ve or -ve but the value with out sign must be less than than a.

a=-5 b =4 -20 < -9 Yes

a= -2 b =-1 -2 < -1 No

Insuff

(2) ab>=0 means

a or b both +ve or -ve or one of them zero. b is zero and a cannot be zero as |a| > |b|

a=4 b=3 12 < 1 N

a= -4 b =-3 -12 < -1 Y

Insuff

Together.

ab >=0 , a<0 , |a| > |b| means

a, b both -ve or b is zero and a cannot be zero as |a| > |b|

a= -4 b =-3 -12 < -1 Y

a =-4 b =0 0 < -4 N

Still Insuff

E
Re: Modulus problem   [#permalink] 08 Nov 2008, 09:28
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If a and b are integers, and |a| > |b|, is a |b| < a

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