M scored more runs than N but fewer runs than P. Q scored more runs than N but…

2023

M scored more runs than N but fewer runs than P. Q scored more runs than N but fewer runs than M. Who is the lowest scorer?

  1. A.

    M

  2. B.

    N

  3. C.

    P

  4. D.

    Q

Show answer & explanation

Correct answer: B

Concept: When ranking entities from a set of pairwise comparative statements, translate each statement into an inequality, then merge the inequalities that share a common entity into one combined order; the entity at the end of that order is the extreme (highest or lowest) scorer.

Application: Convert each statement into an inequality and merge the chains:

  1. M scored more than N, so M > N.

  2. M scored fewer than P, so P > M.

  3. Q scored more than N, so Q > N.

  4. Q scored fewer than M, so M > Q.

  5. Merging the chains through the shared terms M and N gives the single combined order P > M > Q > N.

Cross-check: Reading the combined order P > M > Q > N against each original statement confirms all four hold: M > N, P > M, Q > N, and M > Q. N sits last in the order, so N is the lowest scorer.

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