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# Is mp greater than m? (1) m > p > 0 (2) p is less than

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Joined: 14 May 2006
Posts: 1418
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Is mp greater than m? (1) m > p > 0 (2) p is less than [#permalink]  08 Aug 2006, 16:44
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:36) correct 33% (00:44) wrong based on 50 sessions
Is mp greater than m?

(1) m > p > 0

(2) p is less than 1

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-mp-greater-than-m-140461.html
[Reveal] Spoiler: OA
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Senior Manager
Joined: 05 Mar 2006
Posts: 348
Followers: 1

Kudos [?]: 8 [0], given: 0

Let me try this:

1) A multitude of possibilities exist depending on if p is greater then or less then 1. Insufficient

2) Again could be greater or less then depending on if m is positive or negative. Insufficient

Both 1 & 2: If m>0 and p<1 then mp will never be greater then m.

Therefore C
CEO
Joined: 20 Nov 2005
Posts: 2913
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 18

Kudos [?]: 110 [0], given: 0

C

St1: both are greater than zero but p may be a fraction less than 1. : INSUFF

St2: No information about m. p and m may be -ve or +ve or fraction.: INSUFF

Combined:
we get
m>p>1
Certainly mp will be greater than m.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Senior Manager
Joined: 31 May 2006
Posts: 381
Location: Phoenix AZ
Followers: 1

Kudos [?]: 8 [1] , given: 0

Re: DS: Inequality [#permalink]  09 Aug 2006, 06:36
1
KUDOS
u2lover wrote:
Is mp greater than m?

(1) m > p > 0

(2) p is less than 1

Guys, easy way to solve is this.

mp >m => (m-1)p >0
This is tru only when
1. m>1 and p>0
or
2. m<1 and p<0
Senior Manager
Joined: 31 May 2006
Posts: 381
Location: Phoenix AZ
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: DS: Inequality [#permalink]  09 Aug 2006, 08:55
ps_dahiya wrote:
mailtheguru wrote:
u2lover wrote:
Is mp greater than m?

(1) m > p > 0

(2) p is less than 1

Guys, easy way to solve is this.

mp >m => (m-1)p >0
This is tru only when
1. m>1 and p>0
or
2. m<1 and p<0

I think you meant m(p-1) > 0

yea ya, sorry, pls interchange m and p in my explanation.
Senior Manager
Joined: 14 Jul 2005
Posts: 402
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Kudos [?]: 12 [0], given: 0

... It should be C

I get E

if m = 1/2 and p = 1/4 (i.e. m>p & p<1)

we get 1/2 * 1/4 > 1/2 which is FALSE.
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