Wonderful Question
statement 1: Sufficient
since a is negative
choosing a =-2 ad b=-3 plugging in will give consistent no
-----------a= -2 and b=-4 plugging will give same
hence sufficient
statement 2: insufficient
choose a=0 and b= 1 yields no as answer
now searching for a number to get a yes and hopefully knock this out for sufficiency
a=2 and b =1 yields a no and a yes hence insufficient..
imo qa is A
5
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Source: Beat The GMAT — Data Sufficiency |
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simba12123
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4meonly
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If a and b are integers, and |a| > |b|, is a · |b| < a – b?
(1) a < 0
(2) ab is equal or greater than 0
Definetly E
Main stem a · |b| < a – b, or b < a – a · |b|, or b < a ( 1- |b|)
So, the Q is:
Is b < a ( 1- |b|)?
(1)
Nothing about b, so INSUFF just to check:
a<0. I hate to pick numbers, but
2 options:
b>0.
a=-5, b=1 then b > a ( 1- |b|)?
a<0, b<0
a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
INSUFF
(2)
ab is equal or greater than 0
4 options:
a>0 with b>0
a<0 with b<0. a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
a>0 with b=0
a<0 with b=0. a=-5, b=0 then 0 > -5 * ( 1 ) or b > a ( 1- |b|)
INSUFF
(1)(2)
a<0 with b<0. a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
a<0 with b=0. a=-5, b=0 then 0 > -5 * ( 1 ) or b > a ( 1- |b|)
INSUFF
E
(1) a < 0
(2) ab is equal or greater than 0
Definetly E
Main stem a · |b| < a – b, or b < a – a · |b|, or b < a ( 1- |b|)
So, the Q is:
Is b < a ( 1- |b|)?
(1)
Nothing about b, so INSUFF just to check:
a<0. I hate to pick numbers, but
2 options:
b>0.
a=-5, b=1 then b > a ( 1- |b|)?
a<0, b<0
a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
INSUFF
(2)
ab is equal or greater than 0
4 options:
a>0 with b>0
a<0 with b<0. a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
a>0 with b=0
a<0 with b=0. a=-5, b=0 then 0 > -5 * ( 1 ) or b > a ( 1- |b|)
INSUFF
(1)(2)
a<0 with b<0. a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
a<0 with b=0. a=-5, b=0 then 0 > -5 * ( 1 ) or b > a ( 1- |b|)
INSUFF
E
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logitech
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4meonly, good work!4meonly wrote:If a and b are integers, and |a| > |b|, is a · |b| < a – b?
(1) a < 0
(2) ab is equal or greater than 0
Definetly E
Main stem a · |b| < a – b, or b < a – a · |b|, or b < a ( 1- |b|)
So, the Q is:
Is b < a ( 1- |b|)?
(1)
Nothing about b, so INSUFF just to check:
a<0. I hate to pick numbers, but
2 options:
b>0.
a=-5, b=1 then b > a ( 1- |b|)?
a<0, b<0
a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
INSUFF
(2)
ab is equal or greater than 0
4 options:
a>0 with b>0
a<0 with b<0. a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
a>0 with b=0
a<0 with b=0. a=-5, b=0 then 0 > -5 * ( 1 ) or b > a ( 1- |b|)
INSUFF
(1)(2)
a<0 with b<0. a=-5, b=-2 then -2 < -5 * ( -1 ) or b < a ( 1- |b|)
a<0 with b=0. a=-5, b=0 then 0 > -5 * ( 1 ) or b > a ( 1- |b|)
INSUFF
E
This is a MGMAT question and I am not sure whether it really represents an authentic GMAT question but there are so many take aways we can all benefit from this question.
LGTCH
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