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# if a<b<c<0, which of the following quotients is the

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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
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WE: Engineering (Aerospace and Defense)
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if a<b<c<0, which of the following quotients is the [#permalink]  08 Jul 2008, 16:28
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.

Director
Joined: 10 Sep 2007
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Re: basic algebra question [#permalink]  08 Jul 2008, 16:44
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.
Director
Joined: 27 May 2008
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Re: basic algebra question [#permalink]  08 Jul 2008, 16:45
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.

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
Senior Manager
Joined: 19 Mar 2008
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Re: basic algebra question [#permalink]  08 Jul 2008, 17:22
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.
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
WE: Engineering (Aerospace and Defense)
Followers: 32

Kudos [?]: 69 [0], given: 3

Re: basic algebra question [#permalink]  09 Jul 2008, 07:35
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
Intern
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Re: basic algebra question [#permalink]  09 Jul 2008, 07:44
D.

Just put in numbers and you´ll see that D has the greatest quotient...

Lisa
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Re: basic algebra question [#permalink]  10 Jul 2008, 07:36
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
Intern
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Re: basic algebra question [#permalink]  10 Jul 2008, 09:11
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!

Re: basic algebra question   [#permalink] 10 Jul 2008, 09:11
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# if a<b<c<0, which of the following quotients is the

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