Statements: In a one-day cricket match, the total runs made by a team were…
2023
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.
- A.
Only conclusion I follows
- B.
Only conclusion II follows
- C.
Either I or II follows
- D.
Neither I nor II follows
Show answer & explanation
Correct answer: D
Concept: In a statement-conclusion question, a conclusion follows ONLY if it is a certain, direct logical consequence of the statement, using only the information explicitly given. A conclusion that needs an outside assumption, or that treats two different quantities (such as a percentage of runs and a percentage of players) as if they were the same, does not follow.
Applying this test using only what the statement gives (total runs and runs scored by spinners):
Total runs = 200, and runs scored by spinners = 160, so spinners scored 160/200 = 80% of the RUNS.
Conclusion I claims 80% of the TEAM (the players) are spinners. Runs scored and number of players are different quantities; the runs-share tells us nothing about how many players are spinners. So Conclusion I does not follow.
The statement says nothing about batting order or who opened the innings. Conclusion II introduces this idea entirely from outside the statement, so it does not follow either.
Cross-check: for either conclusion to follow, the statement would need to state the team's player composition or its batting order explicitly. Neither is given, so both conclusions fail the direct-inference test, and neither follows.