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# Is p>q? 1. 1/p<1/q 2. p/q>.25

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Manager
Joined: 28 Aug 2004
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Is p>q? 1. 1/p<1/q 2. p/q>.25 [#permalink]  01 Aug 2005, 07:53
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Is p>q?

1. 1/p<1/q

2. p/q>.25
Senior Manager
Joined: 29 Jun 2005
Posts: 403
Followers: 1

Kudos [?]: 15 [0], given: 0

quick E.
if it isn't, than it is very tricky question.
Director
Joined: 27 Dec 2004
Posts: 908
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Another one for E.

stmt 1 is out becuase p and q may or may not be integers so depending on whether p and q are integers or not.

stmt 2 is insufficient because it say P/q > 25/100 so again, this is true or false depending on the value of P and Q
Senior Manager
Joined: 04 May 2005
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Location: CA, USA
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C

Is p>q?

1. 1/p<1/q

2. p/q>.25 => p and q are either both < 0 or both > 0

when both < 0, if (1) is true, then 1/|p| > 1/|q| => |p| < |q| => p > q

when both > 0, if (1) is true, then |p| > |q| => p > q
Senior Manager
Joined: 29 Nov 2004
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Re: DS-integers,, [#permalink]  01 Aug 2005, 13:46
Dan wrote:
Is p>q?

1. 1/p<1/q

2. p/q>.25

Condition 1
Multiply by pq on both sides gives

q<p if pq is positive (both + or both -)

q>p if pq is negative (if one of them is negative)

Condition 2

p>0.25q (if q is +)
p<0.25q (if q is -)

Combine both condition

Condition 1 can be interpreted as p/q>1 if q is positive and p/q<1 if q is negative but combinin with condition 2 q is positive, then p is also postive for p/q to be > 0.25

For all positive values of p and q, p>q for both condition to be satisfied...
_________________

Fear Mediocrity, Respect Ignorance

Re: DS-integers,,   [#permalink] 01 Aug 2005, 13:46
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