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m, p, and x are positive integers [#permalink]
14 Dec 2016, 02:17

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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.

Re: m, p, and x are positive integers [#permalink]
29 Dec 2016, 14:22

3

This post received KUDOS

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

Answer: D

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Re: m, p, and x are positive integers [#permalink]
23 Nov 2018, 11:42

1

This post received KUDOS

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

Answer: D

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

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

Answer choice D

greprepclubot

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