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Good question. 1)CD>AB; In this case CD should pe positive and AB negative in order to satisfy the condition that ab/cd<0; So Eiher two numbers from CD should be positive or negative and one number from AB should be positive and another should be negative or vice versa. If we put different signs of numbers in equation bc>ad we will have different results, so insuff. 2) B<C<0 ab<0 and cd>0 so a - positive, and d - negative, let's put them into equation bc>ad; on the left side we have positive number, on the right side we have negative number, Suff. ab>0 and cd<0 so a - negative, and d - positive, and again bc>ad; on the left side we have positive number, on the right side we have negative number, Suff. So I choose B.

Re: 7)if ab/cd <0, is bc>ad? st1 cd>ab st2 b<c<0 [#permalink]
30 Jan 2012, 13:39

Quote:

7)if ab/cd <0, is bc>ad?

st1 cd>ab

st2 b<c<0 7)if ab/cd <0, is bc>ad?

st1 cd>ab

st2 b<c<0

+1 B, good question

If \(\frac{ab}{cd} <0\), ab > 0 and cd < 0, OR ab<0 and cd > 0.

Statement (1): cd > ab So, cd > 0 and ab < 0 This could mean that c,d > 0 OR c,d<0 AND a>0, b<0, OR a<0, b>0 If c,d >0 , a>0, and b<0, the result is bc<0 and ad>0, then answer is NO If c,d <0 , a>0, and b<0, the result is bc>0 and ad<0, then answer is YES INSUFF

Statement (2): b < c < 0, this means that bc >0 Then, if a<0, d>0, so bc >0 AND ad<0, the answer is YES. If a>0, d<0, so bc>0 AND ad<0, the answer is also YES. SUFFICIENT

ANSWER : B

If someone has a faster method, that would be a great help! _________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

Re: 7)if ab/cd <0, is bc>ad? st1 cd>ab st2 b<c<0 [#permalink]
30 Jan 2012, 14:59

2

This post received KUDOS

Expert's post

If \(\frac{ab}{cd}<0\), is \(bc>ad\)?

\(\frac{ab}{cd}<0\) means that \(ab\) and \(cd\) have the opposite signs.

(1) cd > ab --> as they have the opposite signs then \(cd>0>ab\) --> \(c\) and \(d\) have the same sign, and \(a\) and \(b\) have the opposite signs. Now, if \(c\), \(d\) and \(b\) are positive and \(a\) is negative then: \(bc>0>ad\) BUT if \(c\), \(d\) and \(a\) are positive and \(b\) is negative then: \(bc<0<ad\). Not sufficient.

(2) b < c < 0 --> \(bc>0\) --> from \(\frac{b}{c}*\frac{a}{d}<0\) as \(bc>0\) then \(ad<0\) --> \(bc>0>ad\). Sufficient.

Re: If ab/cd < 0 , is bc > ad (1) cd > ab (2) b < c < 0 [#permalink]
28 Mar 2014, 14:12

So we know that ac and cd have different signs. Now question is is bc>ad? Let's begin.

Staetment 1 cd>ab. Cd is positive and ab is negative. But still we don't know if bc>ad.

Statement 2 tells us that b and c are both negative hence bc is positivei. Now, what do we know about ad? Well, if ab/cd is negative and we already now that bc is positive then we have one negative more between a and d, anyways, ad will be negative and so bc>ad.

Re: If ab/cd < 0 , is bc > ad (1) cd > ab (2) b < c < 0 [#permalink]
04 Apr 2014, 23:25

yezz wrote:

If ab/cd < 0 , is bc > ad

(1) cd > ab

(2) b < c < 0

Sol:

either AB or CD is -ve & remaining one will be positive:

consider option 2 which is b<c<0 which means B and C are negative. negative*negative= positive. so combining the earlier given and this statement proves that ad should be negative. i.e. either A or D is negative so -ve * +ve = -ve

Re: If ab/cd < 0 , is bc > ad (1) cd > ab (2) b < c < 0 [#permalink]
03 Mar 2015, 04:05

Ans is B...I will explain as follows Statement 2 tells us that b<c<0 implies both b and c are negative and it is given that ab<0 or cd is negative now between a and d one has to be positive then only expression ab/cd would be <0 so bc positive and ad is negative implies bc>ad. hence proved. Hope this explanation helps

gmatclubot

Re: If ab/cd < 0 , is bc > ad (1) cd > ab (2) b < c < 0
[#permalink]
03 Mar 2015, 04:05

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