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# Set A consists of the numbers {x, y, -x}. If each term of

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Senior Manager
Joined: 19 Feb 2004
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Location: Lungi
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Set A consists of the numbers {x, y, -x}. If each term of [#permalink]  21 Feb 2004, 10:10
Set A consists of the numbers {x, y, -x}. If each term of set A is squared and the median of the squared set is 1 more than its original median, which of the following can be the values of x and y.
a. x =1, y =-1
b. x=-1, y=0
c. x=-1, y =1
d. x=0, y=1
e. x=1, y=3
Director
Joined: 03 Jul 2003
Posts: 655
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Kudos [?]: 26 [0], given: 0

Is there any way other than back sloving?

Last edited by kpadma on 21 Feb 2004, 15:19, edited 1 time in total.
Manager
Joined: 26 Dec 2003
Posts: 227
Location: India
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Kudos [?]: 2 [0], given: 0

This is an excellent question.
Senior Manager
Joined: 19 Feb 2004
Posts: 415
Location: Lungi
Followers: 1

Kudos [?]: 8 [0], given: 0

yes B is correct.
If x=-1 and y=0, the initial median of {x, y, -x} would be y or 0. The median of the squares of the numbers would be 1 since x^2 = -x^2
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