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If x, y and z are consecutive integers, and x < y < z, which of the

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Joined: 21 Oct 2013
Posts: 433
If x, y and z are consecutive integers, and x < y < z, which of the  [#permalink]

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Updated on: 07 Oct 2017, 00:59
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35% (medium)

Question Stats:

64% (01:29) correct 36% (00:53) wrong based on 134 sessions

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If x, y and z are consecutive integers, and x < y < z, which of the following is NOT always true?

A. yz is even.

B. The average (arithmetic mean) of x, y and z is y.

C. y^2 − xz is odd.

D. xy < yz

E. xyz is even

OE
D: If x = -2, y = -1 & z = 0 → xy = 2 & yz = 0

Originally posted by goodyear2013 on 20 Jul 2014, 04:55.
Last edited by Bunuel on 07 Oct 2017, 00:59, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 48037
Re: If x, y and z are consecutive integers, and x < y < z, which of the  [#permalink]

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20 Jul 2014, 05:26
1
goodyear2013 wrote:
If x, y and z are consecutive integers, and x<y<z, which of the following is NOT always true?

A. y·z is even.
B. The average (arithmetic mean) of x, y and z is y.
C. y^2−x·z is odd.
D. x·y<y·z
E. x·y·z is even

OE
D: If x = -2, y = -1 & z = 0 → xy = 2 & yz = 0

A. y·z is even. The product of two consecutive integers is always even. Discard.

B. The average (arithmetic mean) of x, y and z is y. The average of three consecutive integers is the middle term (y). Discard.

C. y^2−x·z is odd. y^2 - xz is either odd^2 - even*even = odd or even^2 - odd*odd = odd. Discard.

D. x·y<y·z --> if y is negative, then by reducing by it we'd get x > z, which contradicts the stem.

E. x·y·z is even. The product of three consecutive integers is always even. Discard.

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Joined: 16 Mar 2017
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Concentration: Finance, Accounting
GMAT 1: 610 Q47 V27
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Re: If x, y and z are consecutive integers, and x < y < z, which of the  [#permalink]

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06 Oct 2017, 23:11
goodyear2013 wrote:
If x, y and z are consecutive integers, and x<y<z, which of the following is NOT always true?

A. y·z is even.
B. The average (arithmetic mean) of x, y and z is y.
C. y^2−x·z is odd.
D. x·y<y·z
E. x·y·z is even

OE
D: If x = -2, y = -1 & z = 0 → xy = 2 & yz = 0

Could you please rewrite 'yz' instead of 'y.z' in the option A. It seemed 'Y-Z" to me and as a result I ended up choosing option A as the correct answer.

Cheers
Math Expert
Joined: 02 Sep 2009
Posts: 48037
Re: If x, y and z are consecutive integers, and x < y < z, which of the  [#permalink]

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07 Oct 2017, 00:59
1
zahinsarwar wrote:
goodyear2013 wrote:
If x, y and z are consecutive integers, and x<y<z, which of the following is NOT always true?

A. y·z is even.
B. The average (arithmetic mean) of x, y and z is y.
C. y^2−x·z is odd.
D. x·y<y·z
E. x·y·z is even

OE
D: If x = -2, y = -1 & z = 0 → xy = 2 & yz = 0

Could you please rewrite 'yz' instead of 'y.z' in the option A. It seemed 'Y-Z" to me and as a result I ended up choosing option A as the correct answer.

Cheers

________________
Edited. Thank you.
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Re: If x, y and z are consecutive integers, and x < y < z, which of the &nbs [#permalink] 07 Oct 2017, 00:59
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