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# A set includes following number: 2, 4, 8 ,10 ,12, and X.

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Manager
Joined: 29 Jul 2004
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A set includes following number: 2, 4, 8 ,10 ,12, and X. [#permalink]

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03 Oct 2004, 10:08
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A set includes following number: 2, 4, 8 ,10 ,12, and X. What is the value of x?

(1) median and mean of the set is the same

(2) x <> 16

Kudos [?]: 91 [0], given: 0

Manager
Joined: 26 Sep 2004
Posts: 136

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03 Oct 2004, 10:23
What's the symbol in statement B for ??
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Franky
http://franky4gmat.blogspot.com

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Director
Joined: 16 Jun 2004
Posts: 891

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03 Oct 2004, 10:32
Even I didnt get what X<> stands for.

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Senior Manager
Joined: 19 May 2004
Posts: 291

Kudos [?]: 16 [0], given: 0

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03 Oct 2004, 10:40
I think <> means "not equal to"

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Manager
Joined: 26 Sep 2004
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03 Oct 2004, 10:50
I don't think that would account for anything in this problem...probably a < or a > and both were used mistakenly.
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Franky
http://franky4gmat.blogspot.com

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Director
Joined: 16 Jun 2004
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03 Oct 2004, 12:35
The answer is C is stem 2 reads X<16 or >16 (either one of them).
Else E (if <> means NOT equal to)

per 1), we have two possibilities...

(x+10)/2 = (36+x)/6 => x= 13

or

(8+10)/2 = (36+x)/6 => x= 18. Two possibilities, thus insuff.

2) is clearly insuff.

Both combined, as mentioned earlier will be C or E.

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Manager
Joined: 29 Jul 2004
Posts: 67

Kudos [?]: 91 [0], given: 0

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03 Oct 2004, 12:54
Sorry, that was meant to say < 16.

Venksune, I think the 1st eqn should:

(8+x)/2 = (36+x)/6 ...... which gives x as 7.

Either way, wont change the answer !

C is the OA

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Director
Joined: 31 Aug 2004
Posts: 606

Kudos [?]: 153 [0], given: 0

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06 Oct 2004, 04:30
I am sorry guys I do not understand how you assess the median here ??

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Senior Manager
Joined: 01 May 2004
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Location: USA

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06 Oct 2004, 10:25
Where did you get the OA for this question? I mean it's from the real thing..I had this question. My answer is E.

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Manager
Joined: 21 Aug 2004
Posts: 134

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06 Oct 2004, 11:26
If X < 16, then it will be difficult to know its value given the two information. because the changing value of X would give us different median and therefore I would go for E. It is only when is X is greater than 16, that
(36 + x)/6 = 9, and x = 18

I would go for E, given the information you have provided

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06 Oct 2004, 11:26
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