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If x, y, and z are consecutive odd integers and x < 0 and z > 0, then

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If x, y, and z are consecutive odd integers and x < 0 and z > 0, then  [#permalink]

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New post 08 Feb 2019, 04:33
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

49% (01:14) correct 51% (01:19) wrong based on 39 sessions

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If x, y, and z are consecutive odd integers and x < 0 and z > 0, then  [#permalink]

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New post Updated on: 08 Feb 2019, 05:22
Bunuel wrote:
If x, y, and z are consecutive odd integers and x < 0 and z > 0, then what is the range of possible values of xyz

A. 0
B. 1
C. 3
D. 4
E. 6



consecutive odd integers.

x<0 and z>0 limits the range and the number line.

2 possible conditions:

1) -3 -1 0 1
2) -1 0 1 3

y could both be positive or negative.

possible product : PRODUCT of xyz. and range is based on product.

case 1) -3 * -1 * 1 =3

case 2) -1 *1*3 = -3.

Range :

3 - (-3) = 6.



E is the correct answer.

Originally posted by KSBGC on 08 Feb 2019, 04:52.
Last edited by KSBGC on 08 Feb 2019, 05:22, edited 1 time in total.
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Re: If x, y, and z are consecutive odd integers and x < 0 and z > 0, then  [#permalink]

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New post 08 Feb 2019, 05:09
Bunuel wrote:
If x, y, and z are consecutive odd integers and x < 0 and z > 0, then what is the range of possible values of xyz

A. 0
B. 1
C. 3
D. 4
E. 6


x < 0 and z > 0, and x, y z are consecutive odd integers i.e. they may be either {-3, -1, 1} or {-1, 1, 3}

Possible Values of xyz (Product of 3 values) = 3 and -3

Range = Highest - lowest = 3 - (-3) = 6

Answer: Option E
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If x, y, and z are consecutive odd integers and x < 0 and z > 0, then  [#permalink]

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New post 08 Feb 2019, 05:18
Bunuel wrote:
If x, y, and z are consecutive odd integers and x < 0 and z > 0, then what is the range of possible values of xyz

A. 0
B. 1
C. 3
D. 4
E. 6


Keyword: If x, y, and z are consecutive odd integers and x < 0 and z > 0

z will be +ive, x will be -ive

There will be 2 such cases

-3 -1 1
-1 1 3

Range will be HT-LT = 1 + 3 = 4

I just hope xyz is not the product and is just a series of numbers, if that is the case then the range will be 6.
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Re: If x, y, and z are consecutive odd integers and x < 0 and z > 0, then  [#permalink]

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New post 08 Feb 2019, 06:08
Bunuel wrote:
If x, y, and z are consecutive odd integers and x < 0 and z > 0, then what is the range of possible values of xyz

A. 0
B. 1
C. 3
D. 4
E. 6


set of odd integers ; ( -3,-1,1) or ( -1,1,3)
xyz ; 3 & -3
so range
3+3 = 6
IMO E
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If x, y, and z are consecutive odd integers and x < 0 and z > 0, then  [#permalink]

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New post 08 Oct 2019, 02:38
Bunuel wrote:
If x, y, and z are consecutive odd integers and x < 0 and z > 0, then what is the range of possible values of xyz

A. 0
B. 1
C. 3
D. 4
E. 6


(x,y,z)={(-3,-1,1),(-1,1,3)}
xyz = 3 or -3
Range of xyz = 6

IMO E
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If x, y, and z are consecutive odd integers and x < 0 and z > 0, then   [#permalink] 08 Oct 2019, 02:38
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