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Manager
Joined: 08 Dec 2006
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if a<b<c<0, which of the following quotients is the [#permalink]
 08 Jul 2008, 17:28
if a<b<c<0, which of the following quotients is the greatest???/
a) a/b
b)b/c
c)c/a
d)a/c
e)It cannot be determined with the information given.
I thought it was E.
Reasoning :
It can be a -ve fraction. the question doesn't specify integer.
Please comment...
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Director
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Re: basic algebra question [#permalink]
08 Jul 2008, 17:44
Question tells us all a, b, and c are -ve.
Also given |a| > |b| > |c|
As on divison -ve sign will cancel out so we need not bother about sign.
In effect biggest number divided by smallest will be the largest ratio.
So answer should be a/c.
IMO D.
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Director
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Re: basic algebra question [#permalink]
08 Jul 2008, 17:45
Abhishek.pitti wrote: if a<b<c<0, which of the following quotients is the greatest???/
a) a/b
b)b/c
c)c/a
d)a/c
e)It cannot be determined with the information given.
I thought it was E.
Reasoning :
It can be a -ve fraction. the question doesn't specify integer.
Please comment... all a, b, c are -ve (<0) -ve/-ve is always +ve.... it can not be a -ve fraction. its D. a/c.... if you get confused in these type of questions, try example values to confirm your answer. a,b,c = -8, -4, -2 a/b = 2 b/c = 2 c/a = 1/4 a/c = 4
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Senior Manager
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Re: basic algebra question [#permalink]
08 Jul 2008, 18:22
Considering the sign, because a, b, and c all are –ve, all options a) to d) must be +ve.
So the greatest quotients is a/c, since a is the largest number (neglecting sign), c is the smaller number (neglecting sign).
Even if a, c are fraction, the above also applies.
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Manager
Joined: 08 Dec 2006
Posts: 79
Location: United States
Concentration: Entrepreneurship, General Management
Schools: Harvard Business School (HBS) - Class of 2014
GPA: 3.64
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Re: basic algebra question [#permalink]
09 Jul 2008, 08:35
Thank you everyone, I donno for some reason I am jus a lil nervous when it come to inequalities and lose confidence.
Does any body know where can I find some good practice questions for inequalities???
Thank you !
Regards!
Abhi
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Re: basic algebra question [#permalink]
09 Jul 2008, 08:44
D.
Just put in numbers and you´ll see that D has the greatest quotient...
Lisa
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Senior Manager
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Re: basic algebra question [#permalink]
10 Jul 2008, 08:36
Abhishek.pitti wrote: Thank you everyone, I donno for some reason I am jus a lil nervous when it come to inequalities and lose confidence.
Does any body know where can I find some good practice questions for inequalities???
Thank you !
Regards!
Abhi Maybe you can try the Manhattan book for inequality? I haven't tried that. I also found the inequality question quite tricky. I did not read the Manhattan book. My appraoch is to do more. If you made it wrong, read the explanation, make sure you fully understand. Hope this helps a bit
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Re: basic algebra question [#permalink]
10 Jul 2008, 10:11
by the way you should know your math definitions. 42/7= 6 42=dividend 7= divisor 6= quotient now memorize that! so you understand what quotient means as for inequalities with variables, best way is to plug in numbers (simple numbers)
_________________
I'm very cheerful!
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Re: basic algebra question
[#permalink]
10 Jul 2008, 10:11
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