Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 29 Aug 2015, 19:32

### 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:
Director
Status: Up again.
Joined: 31 Oct 2010
Posts: 543
Concentration: Strategy, Operations
GMAT 1: 710 Q48 V40
GMAT 2: 740 Q49 V42
Followers: 17

Kudos [?]: 179 [0], given: 75

On the real number line, there are four points P, Q, S, and [#permalink]  14 Apr 2011, 03:04
00:00

Difficulty:

(N/A)

Question Stats:

71% (01:45) correct 29% (00:57) wrong based on 64 sessions
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: from-620-to-710-my-gmat-journey-114437.html

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2027
Followers: 142

Kudos [?]: 1210 [1] , given: 376

Re: Number line PS [#permalink]  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: 1676
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 374 [0], given: 36

Re: Number line PS [#permalink]  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 [?]: 26 [0], given: 4

Re: Number line PS [#permalink]  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: 759
Followers: 14

Kudos [?]: 75 [0], given: 42

Re: Number line PS [#permalink]  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 [?]: 26 [0], given: 4

Re: Number line PS [#permalink]  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: 1356
Followers: 14

Kudos [?]: 177 [0], given: 10

Re: Number line PS [#permalink]  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: 18

Kudos [?]: 293 [0], given: 11

Re: Number line PS [#permalink]  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.

Re: Number line PS   [#permalink] 13 Dec 2012, 00:14
Similar topics Replies Last post
Similar
Topics:
12 A line passes through point p(1,1) and q(100,1000). How many other poi 10 28 Jan 2015, 07:00
2 Line L contains the points (2,3) and (p,q). If q = 2, which of the fol 2 29 Oct 2014, 07:34
4 Line RS is tangent to circles P and Q at points R and S 2 20 Jul 2014, 12:34
12 In the x-y plane, point (p, q) is a lattice point if both p 12 25 Apr 2014, 11:50
28 If P and Q are two points on the line 3x + 4y =-15 such that 18 21 Oct 2010, 05:47
Display posts from previous: Sort by