## 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?

- R is between S and T.
- S is to the left of R, and T is to the right of R.

Source | OG 2020 |

Type | Data Sufficiency |

Topic | Master Quant Basics |

Sub-Topic | Number Line |

Difficulty | Medium – Hard |

### Solution

__Steps 1 & 2: Understand Question and Draw Inferences__

__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__

__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__

__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)__

__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.

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