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Inequalities

Expert replies
by beater » Sat Sep 27, 2008 2:29 pm
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

How would you rephrase this statement? WOuld you apply transitive properties for these sort of problems??PLease show your workings..Thanks
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Source: — Data Sufficiency |

Re: Inequalities

by parallel_chase » Sat Sep 27, 2008 4:50 pm
beater wrote:If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

How would you rephrase this statement? WOuld you apply transitive properties for these sort of problems??PLease show your workings..Thanks
ac/bd > c/b ??

Since we know a,b,c,d are positive integers,we can rephrase the question stem as

a/d > 1 ?

Statement (1) insufficient. does not gives us relation ship between a and d

Statement (2) a>d. If numerator is greater than denominator, then a/d will always be greater than 1. Sufficient.

Hence B.

Whats the OA?
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by 4meonly » Sun Sep 28, 2008 3:03 am
I bet OA is B

I used a little bit another reasoning, but parallel_chase's approach is faster

(a/b) (c/d) > c/b
is the same as
(a/d) (c/b) > c/b

as c/b are equal to increase left part we need a/d to be more that 1, or a>d

only B gives this
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by cubicle_bound_misfit » Sun Sep 28, 2008 4:58 am
what is OA?
I am getting B
Cubicle Bound Misfit
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by stop@800 » Sun Sep 28, 2008 8:09 am
I am also for B

qn can be simplified fo
is a>d
and B says this only
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by beater » Sun Sep 28, 2008 6:44 pm
OA - B. Thanks guys!
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