On the real number line, there are four points P, Q, S, and : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 14:20

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# On the real number line, there are four points P, Q, S, and

Author Message
TAGS:

### Hide Tags

Current Student
Status: Up again.
Joined: 31 Oct 2010
Posts: 541
Concentration: Strategy, Operations
GMAT 1: 710 Q48 V40
GMAT 2: 740 Q49 V42
Followers: 21

Kudos [?]: 410 [0], given: 75

On the real number line, there are four points P, Q, S, and [#permalink]

### Show Tags

14 Apr 2011, 03:04
00:00

Difficulty:

(N/A)

Question Stats:

81% (02:10) correct 19% (00:57) wrong based on 118 sessions

### HideShow timer Statistics

On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

A) 0
B) 1
C) 2
D) 3
E) 4

[Reveal] Spoiler:
D

I dont have the OA.
_________________

My GMAT debrief: http://gmatclub.com/forum/from-620-to-710-my-gmat-journey-114437.html

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1705 [1] , given: 376

### Show Tags

14 Apr 2011, 03:36
1
KUDOS
gmatpapa wrote:
On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

A) 0
B) 1
C) 2
D) 3
E) 4

[Reveal] Spoiler:
D

I dont have the OA.

------------P(p=-1)-----0-----Q(q=1)-----S(s=2)-----T(t=3)------------------

p < q < s < t
$$PQ+QS=s-p=2-(-1)=3$$

distance between P and Q is twice the distance between Q and S
$$2QS+QS=3$$
$$3QS=3$$
$$QS=1$$
$$s-q=1$$
$$2-q=1$$
$$q=1$$

S is the midpoint of Q and T
$$QS=ST$$
$$s-q=t-s$$
$$2-1=t-2$$
$$t=3$$

Ans: "D"
_________________
SVP
Joined: 16 Nov 2010
Posts: 1672
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 33

Kudos [?]: 514 [0], given: 36

### Show Tags

14 Apr 2011, 03:56
-----------P-------Q-------S--------T------------
(-1) (2)

PQ = 2QS

QS = ST

So Q = 1

TS = QS, So T = 3

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 17 Jan 2011
Posts: 231
Followers: 1

Kudos [?]: 36 [0], given: 4

### Show Tags

15 Apr 2011, 19:43
p < q < s < t
______________P_________Q_____S_____T_____

p = -1 and S=2
PQ/QS = 2/1
so Q=1
QS = ST, so T = 3

It is D.
_________________

Good Luck!!!

***Help and be helped!!!****

Director
Joined: 01 Feb 2011
Posts: 755
Followers: 14

Kudos [?]: 115 [0], given: 42

### Show Tags

16 Apr 2011, 15:05
q+1 = 2(2-q) => q = 1

(1+t)/2 = 2 => t =3.

Manager
Joined: 17 Jan 2011
Posts: 231
Followers: 1

Kudos [?]: 36 [0], given: 4

### Show Tags

17 Apr 2011, 14:12
need to draw the number line
_________________

Good Luck!!!

***Help and be helped!!!****

VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 17

Kudos [?]: 240 [0], given: 10

### Show Tags

30 Apr 2011, 19:37
p ------------q -------s-------t
2x x x
-1 1 2 3

Hence D.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 25

Kudos [?]: 433 [0], given: 11

### Show Tags

13 Dec 2012, 00:14
Best way is to draw... <-----p------q-------s--------t----->

We know p=-1 and s=2... <---(-1)------q-------(2)--------t------>

The distance between P and Q is twice the distance of Q and S...

S-P = 3 = 3x Thus, x=1

S-Q=1
2-Q=1
Q=1 <---(p=-1)------(q=1)-------(s=2)--------t------>

S is the midpoint of q and t. Thus, t=3

_________________

Impossible is nothing to God.

Director
Joined: 04 Jun 2016
Posts: 656
GMAT 1: 750 Q49 V43
Followers: 50

Kudos [?]: 199 [0], given: 36

Re: On the real number line, there are four points P, Q, S, and [#permalink]

### Show Tags

14 Jul 2016, 10:24
gmatpapa wrote:
On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

A) 0
B) 1
C) 2
D) 3
E) 4

[Reveal] Spoiler:
D

I dont have the OA.

No fancy mathematics is need here just make a big line and divide it into 4 parts (like we do in a number line)

Now since the ascending order is p,q,s,t ; name the parts p,q,s and finally t in the same order
p=-1 q= unknown, s=2, t= unknown
This is the halfway down the question

Then the question tells us P to Q=2 Q to S
It means p=-1 q=1,s=2 {p to q= 1-(-1)=2; and since s we know is 2 then q to us is 2-1 =1}
S is the average of q and t
$$therefore 2=1+\frac{t}{2}$$

t+1 =4
t=3

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016.

Director
Joined: 04 Jun 2016
Posts: 656
GMAT 1: 750 Q49 V43
Followers: 50

Kudos [?]: 199 [0], given: 36

On the real number line, there are four points P, Q, S, and [#permalink]

### Show Tags

14 Jul 2016, 10:26
gmatpapa wrote:
On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

A) 0
B) 1
C) 2
D) 3
E) 4

[Reveal] Spoiler:
D

I dont have the OA.

No fancy mathematics is need here just make a big line and divide it into 4 parts (like we do in a number line)

Now since the ascending order is p,q,s,t ; name the parts p,q,s and finally t in the same order
p=-1 q= unknown, s=2, t= unknown
This is the halfway down the question

Then the question tells us distance from (P to Q)=twice the distance from (Q to S)
It means p=-1 q=1,s=2 {p to q= 1-(-1)=2; and since s we know is 2 then q to us is 2-1 =1}
S is the average of q and t
therefore $$S=\frac{q+t}{2}$$

therefore $$2=\frac{1+t}{2}$$

t+1 =4
t=3

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016.

On the real number line, there are four points P, Q, S, and   [#permalink] 14 Jul 2016, 10:26
Similar topics Replies Last post
Similar
Topics:
In the number line shown above, point P is midway between A and B. Poi 1 10 Jan 2016, 07:34
23 A line passes through point p(1,1) and q(100,1000). How many other poi 13 28 Jan 2015, 07:00
7 Line L contains the points (2,3) and (p,q). If q = 2, which of the fol 5 29 Oct 2014, 07:34
8 Line RS is tangent to circles P and Q at points R and S 3 20 Jul 2014, 12:34
42 If P and Q are two points on the line 3x + 4y =-15 such that 19 21 Oct 2010, 05:47
Display posts from previous: Sort by