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# If x, y, and z are positive integers, then what is the value of the mo

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Senior Manager
Joined: 22 Dec 2009
Posts: 356

Kudos [?]: 414 [0], given: 47

If x, y, and z are positive integers, then what is the value of the mo [#permalink]

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11 Mar 2010, 06:40
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Difficulty:

45% (medium)

Question Stats:

59% (01:49) correct 41% (01:19) wrong based on 31 sessions

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Set A is {x, 2x+y, 2y, y+z, x+z}.
If x, y, and z are positive integers, then what is the value of the mode of Set A?

(1) x is equal to one half of y and twice of z

(2) The median of set A is equal to 125.
[Reveal] Spoiler: OA

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Kudos [?]: 414 [0], given: 47

Senior Manager
Joined: 24 Jul 2009
Posts: 287

Kudos [?]: 167 [0], given: 0

Re: If x, y, and z are positive integers, then what is the value of the mo [#permalink]

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11 Mar 2010, 13:17
IMHO C

From 1 statement:

x=y/2 and x=2z, So the given set A can be written in the following manner.

A=(x, 2x+2x, 4x, 2x+x/2, x+x/2)
A=(x,4x,4x,2.5x,1.5x)

Now all the no. positive integers, so A can be arranged in increasing order.
A=(x,1.5x,2.5x,4x,4x)
Mode will be 4x

We don't know the value of X, Statement 1 is Insufficient.

From Statement 2:

We don't know the relation between x,y,and Z. So arranging them in order and finding the most repeatitive term in not possible. Statement 2 is Insufficient.

From 1 and 2

Median is 2.5x=125 >>> x=50
so Mode is 4x= 200

Kudos [?]: 167 [0], given: 0

Intern
Joined: 17 Dec 2009
Posts: 28

Kudos [?]: 1 [0], given: 0

Re: If x, y, and z are positive integers, then what is the value of the mo [#permalink]

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11 Mar 2010, 16:15
Great question. I had E for this originally but agree that it's C.

nverma, good job or re-arranging the order by using A). I didn't think of that.

Kudos [?]: 1 [0], given: 0

Re: If x, y, and z are positive integers, then what is the value of the mo   [#permalink] 11 Mar 2010, 16:15
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# If x, y, and z are positive integers, then what is the value of the mo

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