Directions (22-24): Each of the questions below, consist of a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the three statements and Give answer
Eight cars are parked at different directions with respect to each other. At which direction is car F is parked with respect to car C?
Statement I: Car A is parked in the north of car B which is parked in the south of car C. Car E is parked in the east of car C.
Statement II: Car D is parked in the south west of car A which is parked in the north west of car G. Car F is in the north east of car E.
Statement III: Car G is parked in the north of car E and to the west of car F. Car C is parked in the south of car A.
Correct Answer :
If the data in statement I and III together are sufficient to answer the question, while the data in statement II are not required to answer the question
Solution :
To determine the direction of car F with respect to car C, we need to analyze the information given in the statements.
The question asks: At which direction is car F parked with respect to car C?
Let's evaluate the statements:
From Statement I:
1. Car A is parked in the north of car B.
2. Car B is parked in the south of car C (this means C is in the north of B).
3. Car E is parked in the east of car C.
From Statement II:
1. Car D is parked in the south-west of car A.
2. Car A is parked in the north-west of car G.
3. Car F is in the north-east of car E.
From Statement III:
1. Car G is parked in the north of car E.
2. Car G is parked to the west of car F (this means F is to the east of G).
3. Car C is parked in the south of car A.
Combining Statement I and Statement III:
- From Statement I: Car E is parked to the east of car C.
- From Statement III: Car G is parked in the north of car E.
- Since E is east of C, and G is north of E, G is to the north-east of C.
- From Statement III: Car F is to the east of car G (or G is to the west of F).
- Since G is north of E, and E is east of C, G is north-east of C. Because F is directly east of G, F will also be in the north-east direction with respect to C.
Therefore, statements I and III together are sufficient to determine the direction of car F with respect to car C.
Thus, the correct option is: If the data in statement I and III together are sufficient to answer the question, while the data in statement II are not required to answer the question.
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