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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: On the number line, if r < s, if p is halfway between rand s [#permalink]
19 Feb 2014, 00:25

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Expert's post

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SOLUTION

On the number line, if r < s, if p is halfway between rand s, and if t is halfway between p and r, then (s - t)/(t - r) =

(A) 1/4 (B) 1/3 (C) 4/3 (D) 3 (E) 4

Let r=0 and s=4 --> p is halfway between r and s: p=2; t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

Answer: D.

P.S. On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed algebraically as: \(\frac{m+n}{2}=k\). _________________

Re: On the number line, if r < s, if p is halfway between rand s [#permalink]
22 Feb 2014, 05:12

Expert's post

SOLUTION

On the number line, if r < s, if p is halfway between rand s, and if t is halfway between p and r, then (s - t)/(t - r) =

(A) 1/4 (B) 1/3 (C) 4/3 (D) 3 (E) 4

Let r=0 and s=4 --> p is halfway between r and s: p=2; t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

Answer: D.

P.S. On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed algebraically as: \(\frac{m+n}{2}=k\). _________________

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

p is halfway b/w r and s hence p=(r+s)/2 Again t is halfway b/w p and r hence t=(p+r)/2=((r+s)/2+r)/2=(3*r+s)/4 take r, s as 0,4 for easy calculation => p=2, t=1 =>(s-t)/(t-r)=3

Re: On the number line, if r < s, if p is halfway between rand s [#permalink]
24 Feb 2014, 05:53

I would say the difficulty is little more than 600

its easy once you understand that you have to assume the value, but many folks fail to do so. Those may get into cumbersome algebra and get things difficult.

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