Statements: In a one day cricket match, the total runs made by a team were…

2024

Statements: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners.

Conclusions:

80% of the team consists of spinners.

The opening batsmen were spinners.

  1. A.

    Both conclusion I and conclusion II follow.

  2. B.

    Neither conclusion I nor conclusion II follows.

  3. C.

    Only conclusion I follows.

  4. D.

    Only conclusion II follows.

Show answer & explanation

Correct answer: B

In Statement-and-Conclusion reasoning, a conclusion follows only if it is validly deducible from the statement alone; conflating one quantity (like a percentage of total runs) with an unrelated quantity (like percentage of team members) is a classic trap, and any conclusion that needs information not given in the statement does not follow.

The statement only reports run contribution: 160 out of 200 total runs, i.e. 80% of the runs, were scored by spinners. Conclusion I converts this run-percentage into a team-composition percentage ("80% of the team consists of spinners"), which is a different quantity entirely and cannot be derived from the run data alone, so it does not follow. Conclusion II asserts that the opening batsmen were spinners, but the statement never mentions the batting order or the identity of the openers, so this too is an unsupported assumption and does not follow.

Since neither conclusion can be traced back to a stated fact, the correct choice is the option stating that neither conclusion follows.

  • Both conclusion I and conclusion II follow: requires accepting BOTH unwarranted assumptions (run-share = player-share AND opener identity) at once, neither of which the statement supports.

  • Only conclusion I follows: assumes that a run-contribution percentage directly equals a player-count percentage, which the statement never establishes.

  • Only conclusion II follows: assumes the opening batsmen were the spinners, an identity the statement never mentions.

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