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# For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?

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Intern
Joined: 09 Aug 2018
Posts: 3
For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

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12 Nov 2018, 09:50
2
2
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Difficulty:

45% (medium)

Question Stats:

56% (01:04) correct 44% (01:35) wrong based on 84 sessions

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For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?

(1) The median of the set n is more than 2.

(2) The median of the set n is 0.
GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 629
Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

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12 Nov 2018, 13:43
2
shivaleo wrote:
For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?

(1) The median of the set n is more than 2.

(2) The median of the set n is 0.

$$n = \left\{ { - 6, - 4,3,5,6} \right\} \cup \left\{ p \right\}$$

$$p\,\,\mathop > \limits^? \,\,2$$

$$\left( 1 \right)\,\,Me{d_n} > 2\,\,\,\,\left\{ \matrix{ \,{\rm{Take}}\,\,p = 3\,\,\,\, \Rightarrow \,\,\,n = \left\{ { - 6, - 4,3,3,5,6} \right\}\,\,\,\,\left( {Me{d_n} = 3} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\rm{YES}}} \right\rangle \,\, \hfill \cr \,{\rm{Take}}\,\,p = 2\,\,\,\, \Rightarrow \,\,\,n = \left\{ { - 6, - 4,2,3,5,6} \right\}\,\,\,\,\left( {Me{d_n} = 2.5} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\rm{NO}}} \right\rangle \,\, \hfill \cr} \right.$$

$$\left( 2 \right)\,\,\,Me{d_n}\,\, = \,\,\,\left\{ \matrix{ \,{{p + 3} \over 2} > 0\,\,\,{\rm{if}}\,\,2 < p \le 5\, \hfill \cr \,{{3 + 5} \over 2} > 0\,\,\,{\rm{if}}\,\,\,p > 5 \hfill \cr} \right.\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\left( 2 \right)\,\,{\rm{contradicted}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,p > 2\,\,{\rm{is}}\,\,{\rm{false}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\rm{NO}}} \right\rangle \,\,\,\,\,$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

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13 Jan 2019, 20:47
shivaleo wrote:
For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?

(1) The median of the set n is more than 2.

(2) The median of the set n is 0.

Dear Moderator,
How can both the statements contradict each other? Hope you will look into this and do the needful. Thank you
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- Stne

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Joined: 02 Sep 2009
Posts: 52402
Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

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13 Jan 2019, 22:41
stne wrote:
shivaleo wrote:
For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?

(1) The median of the set n is more than 2.

(2) The median of the set n is 0.

Dear Moderator,
How can both the statements contradict each other? Hope you will look into this and do the needful. Thank you

This is a poor quality question, that's why it's marked as such.

On the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.
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Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2? &nbs [#permalink] 13 Jan 2019, 22:41
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