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On the real number line, there are four points P, Q, S, and [#permalink]
 14 Apr 2011, 04:04
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31% (01:09) wrong based on 9 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 My answer is I dont have the OA.
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Re: Number line PS [#permalink]
14 Apr 2011, 04:36
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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 My answer is I dont have the OA. p < q < s < t PQ+QS=s-p=2-(-1)=3distance between P and Q is twice the distance between Q and S2QS+QS=33QS=3QS=1s-q=12-q=1q=1S is the midpoint of Q and TQS=STs-q=t-s2-1=t-2t=3Ans: "D"
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Re: Number line PS [#permalink]
14 Apr 2011, 04:56
-----------P-------Q-------S--------T------------ (-1) (2) PQ = 2QS QS = ST So Q = 1 TS = QS, So T = 3 Answer - D
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Re: Number line PS [#permalink]
15 Apr 2011, 20:43
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.
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Re: Number line PS [#permalink]
16 Apr 2011, 16:05
q+1 = 2(2-q) => q = 1
(1+t)/2 = 2 => t =3.
Answer is D.
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Re: Number line PS [#permalink]
17 Apr 2011, 15:12
need to draw the number line
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Re: Number line PS [#permalink]
30 Apr 2011, 20:37
p ------------q -------s-------t 2x x x -1 1 2 3 Hence D.
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Re: Number line PS [#permalink]
13 Dec 2012, 01:14
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
Answer: D
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Re: Number line PS
[#permalink]
13 Dec 2012, 01:14
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