Ranking Test


Direction: Read the following information carefully and answer the question that follow.
I. Seven students P, Q, R, S, T, U and V take a series of tests.
II. No two students get similar marks.
III. V always scored more than P.
IV. P always scored more than Q.
V. Each time either R scored the highest and T gets the least or alternatively S scores the highest and U or Q scores the least.

  1. If S is ranked sixth and Q is ranked fifth, which of the following can be true ?









  1. View Hint View Answer Discuss in Forum

    According to question,
    V always scored more than P.
    V > P
    P always scored more than Q.
    P > Q
    ? V > P > Q

    If R Score highest, we have
    R >.......> T
    If S Score highest, we have
    S >.......> Q or S >.......> U

    Correct Option: D

    According to question,
    V always scored more than P.
    V > P
    P always scored more than Q.
    P > Q
    ? V > P > Q

    If R Score highest, we have
    R >.......> T
    If S Score highest, we have
    S >.......> Q or S >.......> U

    If S is ranked 6th and Q is ranked 5th , we have
    O > O > O > O > Q > S > O
    In this case, R will rank the highest and thus T will rank the least.
    we have, R > O > O > O > Q > S > T
    Also, the order V > P > Q will be maintained
    The possible arrangement are
    R > U > V > P > Q > S > T
    or R > V > U > P > Q > S > T
    or R > V > P > U > Q > S > T
    Thus, option (d),i.e, U can be ranked third or fourth is true.


  1. If R is ranked second and Q is ranked fifth, which of these must be true ?









  1. View Hint View Answer Discuss in Forum

    According to question,
    V always scored more than P.
    V > P
    P always scored more than Q.
    P > Q
    ? V > P > Q

    If R Score highest, we have
    R >.......> T
    If S Score highest, we have
    S >.......> Q or S >.......> U

    Correct Option: D

    According to question,
    V always scored more than P.
    V > P
    P always scored more than Q.
    P > Q
    ? V > P > Q

    If R Score highest, we have
    R >.......> T
    If S Score highest, we have
    S >.......> Q or S >.......> U

    If R is ranked 2nd, S will rank 1st and Q or U lowest but Q ranks 5th. so, U ranks lowest. Also, the order V > P > Q will be followed.
    ∴ Arrangement
    S > R > V > P > Q > T > U
    1   2     3     4     5     6     7
    Hence, 6th place will be occupied by T.



  1. Information given in which of the statement is superfluous ?









  1. View Hint View Answer Discuss in Forum

    According to question,
    V always scored more than P.
    V > P
    P always scored more than Q.
    P > Q
    ? V > P > Q

    If R Score highest, we have
    R >.......> T
    If S Score highest, we have
    S >.......> Q or S >.......> U

    Correct Option: D

    According to question,
    V always scored more than P.
    V > P
    P always scored more than Q.
    P > Q
    ? V > P > Q

    If R Score highest, we have
    R >.......> T
    If S Score highest, we have
    S >.......> Q or S >.......> U

    All are needed.