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m, p, and x are positive integers [#permalink]
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Expert's post 00:00

Question Stats: 52% (00:35) correct 47% (00:26) wrong based on 102 sessions
m, p, and x are positive integers and mp=x

 Quantity A Quantity B m x

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: m, p, and x are positive integers [#permalink]
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Expert's post
Carcass wrote:
m, p, and x are positive integers and mp = x

 Quantity A Quantity B m x

Given:
Quantity A: m
Quantity B: x

Since we're told that mp = x, we can replace x with mp to get:
Quantity A: m
Quantity B: mp

Since we're told that m is POSITIVE, we can safely divide both quantities by m to get:
Quantity A: 1
Quantity B: p

We aren't told anything about the value of p, other than being a positive integer.
So, p COULD equal 1, in which case the quantities are EQUAL
Or p COULD equal 2, in which case quantity B is greater

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Re: m, p, and x are positive integers [#permalink]

x is a product of m & p

so, x is greater than m
GRE Instructor Joined: 10 Apr 2015
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Re: m, p, and x are positive integers [#permalink]
Expert's post
abhijith13 wrote:

x is a product of m & p

so, x is greater than m

What if p = 1?
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Re: m, p, and x are positive integers [#permalink]
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abhijith13 wrote:

x is a product of m & p

so, x is greater than m

I did the same mistake! I am glad we can comment here in forums and learn!
This is a trap GRE TRAP GRE Instructor Joined: 10 Apr 2015
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Kudos [?]: 2958  , given: 45

Re: m, p, and x are positive integers [#permalink]
1
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Expert's post
Carcass wrote:
m, p, and x are positive integers and mp = x

 Quantity A Quantity B m x

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

A student asked me to solve this by plugging in numbers

Case i:
Since m, p, and x are positive integers and mp = x, some possible values are: m = 2, p = 3 and x = 6
We get:
QUANTITY A: m = 2
QUANTITY B: x = 6
In this case, Quantity B is GREATER

Case ii:
Other values that satisfy the given equation are: m = 1, p = 1 and x = 1
We get:
QUANTITY A: m = 1
QUANTITY B: x = 1
In this case, the quantities are EQUAL

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Re: m, p, and x are positive integers [#permalink]
Carcass wrote:
m, p, and x are positive integers and mp=x

 Quantity A Quantity B m x

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Because there are no conditions. So mp = x

Could be 1 * 1 = 1

Here m = x

Otherwise it could be m = 1 and p = 2 and x = 2

m < x Re: m, p, and x are positive integers   [#permalink] 23 Nov 2018, 11:45
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