Question Details

In which direction is Point G from Point Y?

Statement I. Point X is 15m west of Point Z. Point X is 9m south of Point Y. Point K is 12m east of point G. Point G is 5m north of point Z.
Statement II. Point Y is 8m north of Point W. Point W is 12m east of Point K.

In this question below, consist a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the statements and give answer.

Options

Data given in both statements I and II together are not sufficient to answer.

Data given in statement I alone is sufficient to answer.

Data given in statement II alone is sufficient to answer.

Data given in both statements I and II together are sufficient to answer.

Data given in either statement I or statement II alone is sufficient to answer the question.

Show Answer

Correct Answer :

Option B

Data given in statement I alone is sufficient to answer.

Solution :

To find the direction of Point G from Point Y, let us analyze the information provided in the statements individually and together.

Analysis of Statement I:
Statement I tells us the following relative positions:
1. Point X is 15m west of Point Z. (X is west of Z by 15m)
2. Point X is 9m south of Point Y. (Y is north of X by 9m)
3. Point K is 12m east of Point G.
4. Point G is 5m north of Point Z. (Z is south of G by 5m)

Let us construct the coordinate positions of the points mentioned in Statement I to see if we can determine the relationship between Y and G. Let Point Z be at the origin (0, 0).
- Since Point X is 15m west of Z, its coordinates are X = (-15, 0).
- Since Point X is 9m south of Y, Point Y is 9m north of X, so Y's coordinates are Y = (-15, 9).
- Since Point G is 5m north of Z, its coordinates are G = (0, 5).
- Since Point K is 12m east of G, its coordinates are K = (12, 5).

Now, let us find the direction of Point G from Point Y:
- Coordinates of Y: (-15, 9)
- Coordinates of G: (0, 5)
- Point G is to the east of Y (since 0 > -15) and to the south of Y (since 5 < 9). Specifically, Point G is in the South-East direction from Point Y.
Since we can determine the exact direction of Point G from Point Y using only Statement I, the data given in statement I alone is sufficient to answer the question.

Analysis of Statement II:
Statement II tells us:
1. Point Y is 8m north of Point W.
2. Point W is 12m east of Point K.
There is no mention of Point G in Statement II. Therefore, we cannot establish any relationship or direction between Point G and Point Y using Statement II alone.

Conclusion:
Since Statement I alone is sufficient to answer the question, while Statement II alone is not, the correct option is "Data given in statement I alone is sufficient to answer."