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

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

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New post 12 Nov 2018, 09:50
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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.
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Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

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New post 12 Nov 2018, 13:43
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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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New post 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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Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

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New post 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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