Question Details

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.

Options

A

If the data in statement I and II together are sufficient to answer the question, while the data in statement III are not required to answer the question.

B

If the data in all the statements, I, II and III even together are not sufficient to answer the question.

C

If the data in statement II and III are sufficient to answer the question, while the data in statement I are not required to answer the question.

D

If the data in all three statements I, II and III together are necessary to answer the question.

Show Answer

Correct Answer :

Option A

If the data in statement I and II together are sufficient to answer the question, while the data in statement III are not required to answer the question.

If the data in statement I and II together are sufficient to answer the question, while the data in statement III are not required to answer the question.

Solution :

To determine the direction of car F with respect to car C, let us analyze the information given in the statements step-by-step.

First, let's look at the given statements:

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.
From this statement, we can establish the relative positions of A, B, C, and E:
- Car B is south of car C.
- Car A is north of B (so A and C are on the same vertical line, though their exact order depends on their relative distances from B, but both are north of B).
- Car E is parked to the east of car C.
This gives us a partial layout containing C and E, but F is not mentioned in Statement I.

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.
From this statement, we know:
- The relative positions of D, A, and G.
- Car F is located in the north-east of car E.
Let's see what happens when we combine Statement I and Statement II:
- From Statement I, we have the position of C and E (E is east of C).
- From Statement II, we know that F is to the north-east of E.
- Since E is directly east of C, and F is north-east of E, car F must lie in the north-east direction with respect to car C.
Therefore, statements I and II together are sufficient to determine the direction of car F with respect to car C. Statement III is not needed.

Let's also check if Statement II and III are sufficient:
- Statement II: F is north-east of E.
- Statement III: G is parked in the north of E and to the west of F. C is parked in the south of A.
Without Statement I, we do not know the spatial relationship between C and E (or C and F/G/A/B), so we cannot relate C to F. Therefore, statements II and III alone are not sufficient.

Thus, the data in statements I and II together are sufficient to answer the question, while the data in statement III are not required.

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