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

 It is currently 17 Jul 2019, 01:53

### 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

# Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent

Author Message
TAGS:

### Hide Tags

Manager
Joined: 10 Sep 2012
Posts: 137
Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent  [#permalink]

### Show Tags

23 Nov 2012, 17:07
4
00:00

Difficulty:

95% (hard)

Question Stats:

32% (02:41) correct 68% (02:39) wrong based on 108 sessions

### HideShow timer Statistics

Which of the 5 terms p, q, p + q, p – 1, and q + 1, represents the median of these 5 terms?

(1) p > q
(2) p – q < 1

The solution recommends plugging in for each one of these, but that means you'll have to plug in at least 6 times... I don't see how one could do that in less than 2 minutes! I mean you could, but there would have to seamless. You immediately understand the question, immediately start plugging in, and get 0 mistakes.

plug in stat(1), get it S, then try to plug in again and get it IS. (then repeat for Stat(2) and Stat(1+2). Then there is also the possibility you plug in twice and get the same result, leaving you to a false answer.

HELP!
Current Student
Joined: 19 Mar 2012
Posts: 4273
Location: India
GMAT 1: 760 Q50 V42
GPA: 3.8
WE: Marketing (Non-Profit and Government)
Re: Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent  [#permalink]

### Show Tags

25 Nov 2012, 00:34
1
anon1 wrote:
Which of the 5 terms p, q, p + q, p – 1, and q + 1, represents the median of these 5 terms?

(1) p > q
(2) p – q < 1

The solution recommends plugging in for each one of these, but that means you'll have to plug in at least 6 times... I don't see how one could do that in less than 2 minutes! I mean you could, but there would have to seamless. You immediately understand the question, immediately start plugging in, and get 0 mistakes.

plug in stat(1), get it S, then try to plug in again and get it IS. (then repeat for Stat(2) and Stat(1+2). Then there is also the possibility you plug in twice and get the same result, leaving you to a false answer.

HELP!

Well you can do it algebraically I think. To get the median we MUST be able to write the elements is ascending/descending order!
For S1
p>q then, then if we want to write the elements is descending order: We CANT because even if p>q we dont know if p-1 > q. Also we dont know if p+q>q+1 as we dont know whether p is postive/negative or a fraction.
So insufficient.
For S2
p<q+1. Again similar problem prevails. We dont know if p+q is less or greater than q+1.
So insuffiecient.
S1+S2
This becomes interesting.
we can see that, p-1>p>q but we still dont know which one between q+1 and p+q is greater. Still the same.
Insufficient.
Hence E
_________________
Manager
Joined: 22 Jan 2014
Posts: 173
WE: Project Management (Computer Hardware)
Re: Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent  [#permalink]

### Show Tags

24 Sep 2014, 10:40
1
anon1 wrote:
Which of the 5 terms p, q, p + q, p – 1, and q + 1, represents the median of these 5 terms?

(1) p > q
(2) p – q < 1

The solution recommends plugging in for each one of these, but that means you'll have to plug in at least 6 times... I don't see how one could do that in less than 2 minutes! I mean you could, but there would have to seamless. You immediately understand the question, immediately start plugging in, and get 0 mistakes.

plug in stat(1), get it S, then try to plug in again and get it IS. (then repeat for Stat(2) and Stat(1+2). Then there is also the possibility you plug in twice and get the same result, leaving you to a false answer.

HELP!

E.

1) p>q

p=1,q=0
terms = 0,0,1,1,1
median is 1 but multiple terms are 1 so which one is the median we cannot know.

2) p-q < 1
p=2 , q=3
1,2,3,4,5 (median 3)
p=(-2),q=(-3)
-5,-3,-3,-2,-2 (median -3)
but same problem as above.

(1)+(2)
p=(-1),q=(-2)
-2,-2,-1,-1,0
same issue here as well.
_________________
Illegitimi non carborundum.
Director
Joined: 08 Jun 2013
Posts: 560
Location: France
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Consulting (Other)
Which of the 5 terms x, y, x + y - Statistics - DS  [#permalink]

### Show Tags

11 Aug 2018, 10:21
1
Which of the 5 terms x, y, x + y, x – 1, and y + 1, represents the median of these 5 terms?

(1) x > y

(2) x – y < 1
_________________
Everything will fall into place…

There is perfect timing for
everything and everyone.
Never doubt, But Work on
improving yourself,
Keep the faith and
It will all make sense.
Intern
Joined: 28 Apr 2018
Posts: 16
GMAT 1: 740 Q48 V42
GMAT 2: 750 Q49 V44
Re: Which of the 5 terms x, y, x + y - Statistics - DS  [#permalink]

### Show Tags

11 Aug 2018, 11:41
Harshgmat wrote:
Which of the 5 terms x, y, x + y, x – 1, and y + 1, represents the median of these 5 terms?

(1) x > y

(2) x – y < 1

Since these expressions are simple to evaluate, I used substitution.

(1) x > y, make x = 2 and y = 1
The (unordered) list becomes: 2, 1, 2 + 1, 2 - 1, 1 + 1 --> 2, 1, 3, 1, 2
Put them in order: 1, 1, 2, 2, 3 --> "2" is the median.
However, "2" could be "x" or "y + 1"
Therefore, I cannot tell which of the five terms is the median. Insufficient.

(2) x - y < 1, make x = 3 and y = 3
Unordered list: 3, 3, 3 + 3, 3 - 1, 3 +1 --> 3, 3, 6, 2, 4
Ordered list: 2, 3, 3, 5, 6 --> "3" is the median
However, "3" could be "x" or "y"
Therefore, I cannot tell which of the five terms is the median. Insufficient.

Now, if I put them together:
x > y and x - y < 1, make x = 3 and y = 2.5
Unordered list: 3, 2.5, 3 + 2.5, 3 - 1, 2.5 + 1 --> 3, 2.5, 5.5, 2, 3.5
Ordered list: 2, 2.5, 3, 3.5, 5.5
"3" is the median, so in this case, "x" is the median.

Try a different case:
Make x = 1/2 and y = -1/4
Unordered list: 1/2, -1/4, 1/2 + (-1/4), 1/2 - 1, -1/4 + 1 --> 1/2, -1/4, 1/4, -1/2, 3/4
Ordered list: -1/2, -1/4, 1/4, 1/2, 3/4
"1/4" is the median, so in this case, "x + y" is the median.

There is still more than one value that could be the median. Both statements together are insufficient.

_________________
Audra Zook
GMAT and GRE Tutor
https://audrazook.com
Re: Which of the 5 terms x, y, x + y - Statistics - DS   [#permalink] 11 Aug 2018, 11:41
Display posts from previous: Sort by