Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 11:03

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

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

### Show Tags

12 Nov 2018, 10:50
3
3
00:00

Difficulty:

55% (hard)

Question Stats:

58% (01:34) correct 42% (01:56) wrong based on 101 sessions

### HideShow timer Statistics

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: 937
Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

### Show Tags

12 Nov 2018, 14:43
3
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.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
Director
Joined: 27 May 2012
Posts: 815
Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

### Show Tags

13 Jan 2019, 21:47
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
_________________
- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 56304
Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

### Show Tags

13 Jan 2019, 23:41
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.
_________________
Director
Joined: 18 Feb 2019
Posts: 522
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
For the given set n={3,6,-4,-6,5,p}, is p>2?  [#permalink]

### Show Tags

01 Mar 2019, 11:14
1
For the given set n={3,6,-4,-6,5,p}, is p>2?

I. The median of the set n is more than 2.
II. The median of the set n is 0.
Manager
Joined: 16 Oct 2011
Posts: 93
GMAT 1: 620 Q37 V38
GMAT 2: 640 Q36 V41
GMAT 3: 650 Q42 V38
GMAT 4: 650 Q44 V36
GMAT 5: 570 Q31 V38
Re: For the given set n={3,6,-4,-6,5,p}, is p>2?  [#permalink]

### Show Tags

01 Mar 2019, 12:57
kiran120680 wrote:
For the given set n={3,6,-4,-6,5,p}, is p>2?

I. The median of the set n is more than 2.
II. The median of the set n is 0.

IF YOU FIND MY SOLUTION TO BE HELPFUL, PLEASE GIVE ME KUDOS

We are asked if p > 2

(1) the median of set n >2. Lets write all of the elements besides p in ascending order: -6,-4,3,5,6 if p is less than -6, the median would be (-4+3)/2 = -1/2 which is not more than 2. Notice that since (-4+3)/2 = -1/2, our median must be either (3+5)/2 (placing p bertween -4 and 3 or between 5 and 6 or to the right of 6 on the number line) or our median can be (3+p)/2 (placing p between 3 and 5) Suppose p = -3 (between -3 and 3) Then our answer is NO. Suppose p = 7 (to the right of 6) then our answer is YES NS

(2) The median of n is 0. The only way for this to happen, is for the two middle numbers of the set (in ascending order) sum to 0. Since 3 is the 3rd number in ascending order, p must =-3, giving us a definite NO Sufficient

Math Expert
Joined: 02 Sep 2009
Posts: 56304
Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?  [#permalink]

### Show Tags

02 Mar 2019, 04:06
kiran120680 wrote:
For the given set n={3,6,-4,-6,5,p}, is p>2?

I. The median of the set n is more than 2.
II. The median of the set n is 0.

Merging topics. Please search before posting. Thank you.
_________________
Re: For the given set n = {3, 6, −4, −6, 5, p}, is p > 2?   [#permalink] 02 Mar 2019, 04:06
Display posts from previous: Sort by