Multiple Choice Questions on What is the distance between points A and B I Point A is 8 km to the west of point F Point D which i........... for Logical Reasoning ( All Exams ) Preparation

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Multiple Choice Questions

What is the distance between points A and B I Point A is 8 km to the west of point F Point D which i...........

Logical Reasoning(Master ) Data Sufficiency
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    What is the distance between points A and B?

    I. Point A is 8 km to the west of point F. Point D which is midway between points B and F is 3 km away from point B.

    II. Point H which is in east of point F is also in east of point B.

    If the data in statement I alone is sufficient to answer the question.

    Incorrect Answer

    If the data in statement II alone is sufficient to answer the question.

    Incorrect Answer

    If the data either in statement I alone or statement II alone are sufficient to answer the question.

    Incorrect Answer

    If the data given in both I and II together are not sufficient to answer the question.

    Correct Answer

    If the data in both the statements I and II together are necessary to answer the question.

    Incorrect Answer
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    Explanation:

    From statement I, we get AF = 8 km, BF = 3+3 = 6 km. We are not given that points B and D are in which direction with respect to point F.

    If AFB makes a straight line, then AB = 8+6 = 14 km
    If point B is in south of north direction, then AB = √(8^2 + 6^2) = 10
    From statement II, we get that B is in east or west of F.
    So from both the statements also, we cannot determine.

    Hence, option 4 is the correct answer.

    By: Amit Kumar
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