In each question below is given a statement followed by two conclusions…

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In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

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: I. 80% of the team consists of spinners.

II. The opening batsmen were spinners.

  1. A.

    Only conclusion I follows

  2. B.

    Only conclusion II follows

  3. C.

    Either I or II follows

  4. D.

    Neither I nor II follows

Attempted by 119 students.

Show answer & explanation

Correct answer: D

Answer: Neither I nor II follows.

Explanation:

  • Calculate the runs percentage: 160 out of 200 runs = 80% of the runs were scored by spinners.

  • Why conclusion I does not follow: This 80% refers to runs contributed, not to the number or proportion of players. You cannot infer the team composition (percentage of players who are spinners) from how many runs they scored.

  • Why conclusion II does not follow: The statement contains no information about which players opened the batting. The fact that spinners scored most runs gives no basis to conclude that the opening batsmen were spinners.

Therefore, neither conclusion follows.

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