If a,b, and c are integers, is a - b + c greater than a + b - c ?
(1) b is negative.
(2) c is positive.
stem: is a-b+c > a+b-c
is a+2c>a+2b ?
from 1 & 2.. we can say that a+2c is always greater than a+2b.. (for both a as +ve and -ve) hence Answer is C
is the above approach right ?
is a – b + c greater than a + b – c ?
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- harsh.champ
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Yes,your approach is perfectly fine.Nijeesh wrote:If a,b, and c are integers, is a - b + c greater than a + b - c ?
(1) b is negative.
(2) c is positive.
stem: is a-b+c > a+b-c
is a+2c>a+2b ?
from 1 & 2.. we can say that a+2c is always greater than a+2b.. (for both a as +ve and -ve) hence Answer is C
is the above approach right ?
a-b+c > a+b-c
This implies that a+2c>a+2b
Now, b<0
and c>0
Hence,c>b
So,both statements together are sufficient.C.
Hence,your answer holds.
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- shashank.ism
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to check: a-b+c > a+b-c --> -b+c>b-cNijeesh wrote:If a,b, and c are integers, is a - b + c greater than a + b - c ?
(1) b is negative.
(2) c is positive.
stem: is a-b+c > a+b-c
is a+2c>a+2b ?
from 1 & 2.. we can say that a+2c is always greater than a+2b.. (for both a as +ve and -ve) hence Answer is C
is the above approach right ?
St.1) b is negative , b<0 -->not suff we don't sign of a and c
St.2) c is positive. c>0 --> not suff we don't know sign of a and b
combined ) b<0 and c>0 so -b+c > b-c hence suff.Ans C
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- lunarpower
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why aren't you guys simplifying the question all the way?
viz.:
IS a - b + c > a + b - c ?
cancel the a's:
is -b + c > b - c ?
add b to both sides, AND add c to both sides:
is 2c > 2b?
divide by 2:
Is c > b ?
this is the simplified question.
what's ... interesting is that TWO posters did HALF-simplifications (one of you got to "-b+c>b-c" and the other to "a+2c>a+2b", but neither of those posters went all the way to the simplified version)
with this question, it's much easier to see that the answer is (c).
viz.:
IS a - b + c > a + b - c ?
cancel the a's:
is -b + c > b - c ?
add b to both sides, AND add c to both sides:
is 2c > 2b?
divide by 2:
Is c > b ?
this is the simplified question.
what's ... interesting is that TWO posters did HALF-simplifications (one of you got to "-b+c>b-c" and the other to "a+2c>a+2b", but neither of those posters went all the way to the simplified version)
with this question, it's much easier to see that the answer is (c).
Ron has been teaching various standardized tests for 20 years.
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Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
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Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
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Learn more about ron