Payal Tandon
Co-founder, e-GMAT
Welcome to e-GMAT Support!
I am Payal, Co-Founder of e-GMAT.
Feel free to ask any Query.
Thank you for your query.
We will be contacting you soon on

If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T? – OG 2020 Question #307 with Solution

A 3 min read

OG 2020: Question No. 307

If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T?

  1. R is between S and T.
  2. S is to the left of R, and T is to the right of R.
SourceOG 2020
TypeData Sufficiency
TopicMaster Quant Basics
Sub-TopicNumber Line
DifficultyMedium – Hard

Solution

Steps 1 & 2: Understand Question and Draw Inferences

In this question, we are given

  • R, S, and T are points on a line.
  • R is 5 meters from T and 2 meters from S.

We need to determine

  • The distance between S and T.

As we don’t know the respective positions of the points, with respect to each other, there can be multiple possibilities:

  • Case 1:
  • Case 2:
  • Case 3:
  • Case 4:

However, among the given scenarios, which one is true is not known. Hence, let us now analyse the individual statements to get more information.

Step 3: Analyse Statement 1

As per the information given in statement 1, R is between S and T.

From our previous analysis, we can see that case 1 and case 4 indicates the scenario where R is between S and T.

  • In both the cases, the distance between S and T = distance between S and R + distance between R and T = (2 + 5) meters = 7 meters

As we can find the distance between S and T, statement 1 is sufficient to answer the question.

Step 4: Analyse Statement 2

As per the information given in statement 2, S is to the left of R, and T is to the right of R.

From our previous analysis, we can see that only case 4 satisfies the condition.

  • As per case 4, the distance between S and T = distance between S and R + distance between R and T = (2 + 5) meters = 7 meters

As we can find the distance between S and T, statement 2 is sufficient to answer the question.

Step 5: Combine Both Statements Together (If Needed)

Since we can determine the answer from either of the statements individually, this step is not required.

Hence, the correct answer choice is option D.

Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don’t you try out our FREE Trial? We are the most reviewed online GMAT Preparation company in GMATClub with more than 2000 reviews as of February 2021.

About The Author