Instructions

Each of the questions below consists of a question andtwo statements numbered I and II given below it. You have to decide whether the data provided in the statements are suf icient to answer the question. Read both the statements and -
Give answer a: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer b: if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer c: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d: if the data even in both Statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both Statements I and II together are necessary to answer the question.

Question 136

What is the position of point F with respect to point I ?
I. Point G is 5 km east of point F. Point S is 5 km north of point G. Point H is the mid point of points G and S. Point I is to the south of point H in such a manner that point G is the mid-point of points H and I.
II. Point A is 10 km east of point F. Point B is 5 km south of point A. Point H is the midpoint of points A and B. Point I is 5 km south of point H. Point I is to the east of point L at a distance of 5 km.

Solution

I : Point G is 5 km east of point F. Point S is 5 km north of point G. Point H is the mid point of points G and S, => H is to the north of G at a distance of 2.5 km. 

Point I is to the south of point H in such a manner that point G is the mid-point of points H and I, => HI = 5 km.

Thus, F is to the north-west of point I.

Thus, statement I alone is sufficient.


II : Point A is 10 km east of point F. Point B is 5 km south of point A. Point H is the midpoint of points A and B, => H is 2.5 km to the south of A. 

Point I is 5 km south of point H, => Point B is between H and I. 

Thus, F is to the north-west of point I.

Thus, statement I alone is sufficient.

$$\therefore$$ Either statement I or II alone is sufficient.

=> Ans - (C)


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