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    If R gets the most, V should be ranked not lower than
    Question

    b> : Read the following information carefully and answer the questions 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.

    If R gets the most, V should be ranked not lower than

    A.

    fifth

    B.

    fourth

    C.

    second

    D.

    third

    Correct option is B

    Step 1: Determine Rankings When R is the Highest

    If R scores the highest, then:

    The remaining students (S, V, P, Q, U) will fill positions 2nd to 6th. We know:

    Step 2: V's Minimum Ranking

    Final Answer:

    B: Fourth

    1. Seven students: P, Q, R, S, T, U, V.
    2. No two students get the same marks.
    3. V always scored more than P:V>PV > PV>P.
    4. P always scored more than Q:P>QP > QP>Q.
    5. Each time:
      • Either R scores the highest and T gets the least, or
      • S scores the highest and U or Q scores the least.
    • R is ranked 1st.
    • TTT is ranked 7th (as TTT gets the least when RRR is the highest).
    1. V>P>QV > P > QV>P>Q: V must rank higher than both P and Q.
    2. The rules do not explicitly state a direct relationship between V, S, and U other than the possibility of U being ranked low.
    • R is 1st, and TTT is 7th.
    • V > P > Q ensures that VVV is ranked higher than P and Q, which are at least 5th and 6th, respectively.
    • Therefore, VVV cannot be ranked lower than 4th, as it must be ahead of P and Q.

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