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# Is p > q? (1) p + 5q is positive. (2) p + 4q is negative

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Manager
Joined: 16 Feb 2009
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Is p > q? (1) p + 5q is positive. (2) p + 4q is negative [#permalink]

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27 Jul 2009, 19:48
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Is p > q?

(1) p + 5q is positive.
(2) p + 4q is negative.

Kudos [?]: 141 [0], given: 1

Manager
Joined: 30 May 2009
Posts: 214

Kudos [?]: 133 [0], given: 0

Re: DS - Math Question of the Day (for 7/23/09) [#permalink]

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27 Jul 2009, 20:22
I think C is the answer.

(1) INSUFF. p and q can be anything.
(2) INSUFF. p and q can be anything.

Now combine p and q.

We are told p+5q is positive.
And p+4q is negative.
Adding one q to p+4q makes it positive, which implies q MUST be positive and greater than p+4q.

For example if p+4q = -3, then for p+5q to be positive, q MUST be greater than equal to 4.
Similarly if p+4q = -24, then for P+5q to be positive, q MUST be greater than equal to 25.

So we know q is for sure positive, then the only way p+4q will be negative is when, p is negative number.
Example if p+4q=-24, and 4q is positive, then p MUST be a negative number which is -24-4q.

Hence combining (1) and (2) we get that p is always less then q.

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SVP
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Re: DS - Math Question of the Day (for 7/23/09) [#permalink]

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28 Jul 2009, 06:56
AndersonBound wrote:
Is p > q?

(1) p + 5q is positive.
(2) p + 4q is negative.

P>-5Q......INSUFF

P<-4Q IE: P>4Q THUS SURELY P>Q

B

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Manager
Joined: 16 Apr 2009
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Schools: Ross
Re: DS - Math Question of the Day (for 7/23/09) [#permalink]

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28 Jul 2009, 07:05
IMO, OA is C

Stat 1
either p or q can be negative

Stat 2
either p or q can be negative

Stat 1 and Stat 2 together
tells that q>p
let p be -25 and q be 6
p+5q = -25+5(6) =-25+30 =6
p+4q = -25+4(6) =-25+24 =-1

Hence C
_________________

Keep trying no matter how hard it seems, it will get easier.

Kudos [?]: 101 [0], given: 10

Manager
Joined: 30 May 2009
Posts: 214

Kudos [?]: 133 [0], given: 0

Re: DS - Math Question of the Day (for 7/23/09) [#permalink]

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28 Jul 2009, 07:09
Yezz, you are missing something. I dont think B is sufficient, because all it tell us is that p+4q is negative.

Taking examples...

CASE 1 p>q. p=3, q=-1, then p+4q = 3-4 = -1.
CASE 2 p<q. p=-20, q=-1, then p+4q = -20-4 = -24

So (2) is INSUFF. Hence B cannot be the answer

Kudos [?]: 133 [0], given: 0

SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 431 [0], given: 49

Re: DS - Math Question of the Day (for 7/23/09) [#permalink]

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28 Jul 2009, 11:31
yezz wrote:
AndersonBound wrote:
Is p > q?

(1) p + 5q is positive. ie: p+5q>0
(2) p + 4q is negative.ie: p+4q<0

P>-5Q......INSUFF

P<-4Q IE: P>4Q THUS SURELY P>Q ( wrong)

p<-4q ie: -p>4q...........insuff

together .........suff

B

C is the right answer to me as well.

i did a famous silly KG level mistake and did not change signs when i flipped the inequality
sdrandom1, thanks mate.

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Manager
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Re: DS - Math Question of the Day (for 7/23/09) [#permalink]

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28 Jul 2009, 13:34
OA: C.

Good job, fellas.

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Manager
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Re: DS - Math Question of the Day (for 7/23/09) [#permalink]

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28 Jul 2009, 16:52
Looks like C. Thanks for the explainations.

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Re: DS - Math Question of the Day (for 7/23/09)   [#permalink] 28 Jul 2009, 16:52
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