Inequalities

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beater: Master | Next Rank: 500 Posts; Posts: 301; Joined: Tue Apr 22, 2008 6:07 am; Thanked: 2 times

Inequalities

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: Beat The GMAT — Data Sufficiency | Sat Sep 27, 2008 2:29 pm

parallel_chase: Legendary Member; Posts: 1153; Joined: Wed Jun 20, 2007 6:21 am; Thanked: 146 times; Followed by:2 members

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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4meonly: Legendary Member; Posts: 891; Joined: Sat Aug 16, 2008 4:21 am; Thanked: 27 times; Followed by:1 members; GMAT Score:660(

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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cubicle_bound_misfit: Master | Next Rank: 500 Posts; Posts: 246; Joined: Mon May 19, 2008 7:34 am; Location: Texaco Gas Station; Thanked: 7 times