If m, p, and t are positive integers and m < p < t, is : GMAT Data Sufficiency (DS)
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# If m, p, and t are positive integers and m < p < t, is

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If m, p, and t are positive integers and m < p < t, is [#permalink]

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31 Jul 2007, 08:43
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If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?

(1) t – p = p - m
(2) t – m = 16

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-m-p-and-t-are-positive-integers-and-m-p-t-is-the-product-mpt-an-even-integer-126259.html
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Last edited by Bunuel on 23 Jul 2012, 07:58, edited 1 time in total.
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Re: If m, p, and t are positive integers and m < p < t, is [#permalink]

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23 Jul 2012, 07:49
5. If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?

Stat1
t – p = p - m
=> p =(m+t)/2
=> mpt = mt*(m+t)/2
NOT SUFFICIENT as we don't know whether m and t are odd or even

Stat2
t – m = 16
=> t = m+ 16
mpt = mp(m+16)
NOT SUFFICIENT as we don't know whether m and p are odd or even.

BOth together
we have
mpt = (m + 8) (m^2 + 16)
NOT SUFFICIENT as we don't know whether m is odd or even

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Re: If m, p, and t are positive integers and m < p < t, is [#permalink]

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23 Jul 2012, 07:58
OPEN DISCUSSION OF THIS QUESTION IS HERE: if-m-p-and-t-are-positive-integers-and-m-p-t-is-the-product-mpt-an-even-integer-126259.html
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Re: If m, p, and t are positive integers and m < p < t, is   [#permalink] 23 Jul 2012, 07:58
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