If X is a set of numbers {1,3,5} and Y is a set of number : PS Archive
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# If X is a set of numbers {1,3,5} and Y is a set of number

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VP
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If X is a set of numbers {1,3,5} and Y is a set of number [#permalink]

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21 Jan 2005, 22:26
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If X is a set of numbers {1,3,5} and Y is a set of number {2,3,6}, how many different possible vales of lX-Yl are possible?

(a) 1
(b) 2
(c) 4
(d) 5
(e) 7
SVP
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21 Jan 2005, 22:32
I got D, but don't know if there is any easy way to solve this.
Manager
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Re: PS : Possible Values of X and Y [#permalink]

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22 Jan 2005, 01:04
MA wrote:
If X is a set of numbers {1,3,5} and Y is a set of number {2,3,6}, how many different possible vales of lX-Yl are possible?

(a) 1
(b) 2
(c) 4
(d) 5
(e) 7

I also got D, but just by working it out. I don't know a short cut to solve it, but working it out took far less than 2 minutes
Manager
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22 Jan 2005, 08:28
D for me too.

Yes even I went the long way......
Current Student
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22 Jan 2005, 10:24

I get 6...and I dont see that option

I get the |X-Y| as 0, 1, 2, 3, 4, 5....

3-3=0
6-5=1
5-3=2
6-3=3
6-2=4
6-1=5

Sine we have | | we can neglect the other results that give +ve and -ve
Intern
Joined: 22 Jan 2005
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22 Jan 2005, 16:14
some of your numbers are subtracting y-x..

for example your
Quote:
6-5 = 1
is Y-X

the questions is asking for X-Y
Director
Joined: 21 Sep 2004
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22 Jan 2005, 16:28
81rabbit wrote:
some of your numbers are subtracting y-x..

for example your
Quote:
6-5 = 1
is Y-X

the questions is asking for X-Y

|X-Y|=|Y-X|
VP
Joined: 25 Nov 2004
Posts: 1493
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Re: PS : Possible Values of X and Y [#permalink]

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22 Jan 2005, 20:54
thenine wrote:

I also got D, but just by working it out. I don't know a short cut to solve it, but working it out took far less than 2 minutes

OA is D.

the possible values of lx-yl are 9, but some of the values are repetitive, therefore there are only 5 diff values. i think this is the only possible short cut way to solve this problem.
l1-2l=1
l1-3l=2
l1-6l=5

l3-2l=1
l3-3l=0
l3-6l=3

l5-2l=3
l5-3l=2
l5-6l=1

the values are 0,1,2,3 and 5.
VP
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22 Jan 2005, 21:20
fresinha12 wrote:

I get 6...and I dont see that option

I get the |X-Y| as 0, 1, 2, 3, 4, 5....

3-3=0
6-5=1
5-3=2
6-3=3
6-2=4
6-1=5

Sine we have | | we can neglect the other results that give +ve and -ve

fresinha,

2 is not in set x. therefore l6-2l =4 is not a value of lx-yl.
Current Student
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23 Jan 2005, 10:25
aye aye aye.....damn, how could I have screwed this one up...your right, 2 is in the same set...ma bad...if i can only stop making these stupid mistakes....ahhhhhhhhh!

MA wrote:
fresinha12 wrote:

I get 6...and I dont see that option

I get the |X-Y| as 0, 1, 2, 3, 4, 5....

3-3=0
6-5=1
5-3=2
6-3=3
6-2=4
6-1=5

Sine we have | | we can neglect the other results that give +ve and -ve

fresinha,

2 is not in set x. therefore l6-2l =4 is not a value of lx-yl.
23 Jan 2005, 10:25
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