OG 2020: Question No. 309
On a map, ½ inch represents 100 miles. According to this map, how many miles is City X from City Y?
- City X is 3 inches from City Y on the map.
- Cities X and Y are each 300 miles from City Z.
| Source | OG 2020 |
| Type | Data Sufficiency |
| Topic | Word Problems |
| Sub-Topic | Unit Conversion |
| Difficulty | Easy – Medium |
Solution
Steps 1 & 2: Understand Question and Draw Inferences
In this question, we are given
- On a map, ½ inch represents 100 miles.
We need to determine
- As per the map, the distance between city X and city Y, in miles.
As we do not have any other information regarding the distance between city X and city Y, let us now analyse the individual statements.
Step 3: Analyse Statement 1
As per the information given in statement 1, city X is 3 inches from city Y on the map.
We know, ½ inch represents 100 miles.
- Therefore, 3 inches represent 100 × 2 × 3 = 600 miles
Hence, statement 1 is sufficient to answer the question.
Step 4: Analyse Statement 2
As per the information given in statement 2, cities X and Y are each 300 miles from city Z.
- However, we don’t know whether the cities are in straight line or any specific information about their position with respect to each other.
Hence, statement 2 is not sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
Since we can determine the answer from statement 1 individually, this step is not required.
Hence, the correct answer choice is option A.
