Question

A statement below is followed by two conclusions I and II. Assuming that everything in the statement is correct, consider the two conclusions together and decide which of them follows beyond reasonable doubt, from the information given in the statement.
Statement I : In a one day match, total runs made by a team were 200. Out of which 160 runs were made by the spinners.
Conclusions I : 80% of the team consists of spinners
Conclusions II : The opening batsmen were spinners

• A. Only I follows
• B. Only II follows
• C. Both I and II follow
• D. Neither I nor II follows

Answer 1

The Correct Option is D

To determine which conclusion follows beyond a reasonable doubt given the statements, let's analyze each conclusion separately:

Statement: In a one-day match, total runs made by a team were 200, out of which 160 runs were made by the spinners.

1. Conclusion I: 80% of the team consists of spinners.
   • The statement only indicates that the spinners scored 160 out of 200 runs which translates to 80% of the total runs, i.e., \(\frac{160}{200} \times 100 = 80\%\).
   • However, runs scored by spinners do not imply the number of spinners in the team is 80% of the team. This is a common misinterpretation of data. The percentage of spinners in the team is not directly provided by the statement.
2. Conclusion II: The opening batsmen were spinners.
   • The statement does not mention which players made up the opening batsmen. It only specifies the total runs and the runs contributed by the spinners.
   • There is no direct information given about the positions held by the spinners (i.e., whether they were opening batsmen or not).

In the absence of direct information linking the conclusions to the statement, neither conclusion follows beyond a reasonable doubt.

Correct Conclusion: Neither I nor II follows.