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If five points,p,q,r,s, and t are on the number line, not necessarily

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If five points,p,q,r,s, and t are on the number line, not necessarily [#permalink]

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If five points,p,q,r,s, and t are on the number line, not necessarily in that order, how many of them are positive?

Statement 1: \(\frac{pqr}{st}\)<0
Statement 2: pq>qr>rs>st>0
[Reveal] Spoiler: OA
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Joined: 18 Aug 2016
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Re: If five points,p,q,r,s, and t are on the number line, not necessarily [#permalink]

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New post 01 Aug 2017, 01:58
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DH99 wrote:
If five points,p,q,r,s, and t are on the number line, not necessarily in that order, how many of them are positive?

Statement 1: \(\frac{pqr}{st}\)<0
Statement 2: pq>qr>rs>st>0


(1) Either pqr is -ve or st is -ve

t is -ve and all other positive then equation follows and answer is 1
t is -ve and p,q is -ve then equation follows and answer is 3

Not sufficient

(2) p is -ve or q is -ve
if p - , r - , t - answer is 3
if q -, s - answer is 2

Not sufficient

On combining we have only one case where p , r, t are - ve

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Luckisnoexcuse

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Re: If five points,p,q,r,s, and t are on the number line, not necessarily [#permalink]

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New post 01 Aug 2017, 02:03
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DH99 wrote:
If five points,p,q,r,s, and t are on the number line, not necessarily in that order, how many of them are positive?

Statement 1: \(\frac{pqr}{st}\)<0
Statement 2: pq>qr>rs>st>0



hi..
lets see the statements..

Statement 1: \(\frac{pqr}{st}\)<0
we can say either one of them pqr or st is <0 ..

but nothing more..
insuff

Statement 2: pq>qr>rs>st>0
this tells us that either all 5 are positive or all 5 are negative..

insuff

combined..
we know either all are positive or all are negative from 'II' but from 'I' we know that something is surely negative..
so all 5 are negative..
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Re: If five points,p,q,r,s, and t are on the number line, not necessarily [#permalink]

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New post 01 Aug 2017, 02:08
Luckisnoexcuse wrote:
DH99 wrote:
If five points,p,q,r,s, and t are on the number line, not necessarily in that order, how many of them are positive?

Statement 1: \(\frac{pqr}{st}\)<0
Statement 2: pq>qr>rs>st>0


(1) Either pqr is -ve or st is -ve

t is -ve and all other positive then equation follows and answer is 1
t is -ve and p,q is -ve then equation follows and answer is 3

Not sufficient

(2) p is -ve or q is -ve
if p - , r - , t - answer is 3
if q -, s - answer is 2

Not sufficient

On combining we have only one case where p , r, t are - ve

C


Ohh i misread pq>qr>rs>st>0 as pq<qr<rs<st<0
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Luckisnoexcuse

Re: If five points,p,q,r,s, and t are on the number line, not necessarily   [#permalink] 01 Aug 2017, 02:08
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