Statement — In a one-day cricket match, a team scored 200 runs in total; of these, 160 runs were scored by spinners.\nQuestion — Which conclusion(s) necessarily follow from the statement alone?

Difficulty: Easy

Correct Answer: if neither Conclusion I nor II follows

Explanation:


Introduction / Context:
The stem reports a distribution of runs by player type (spinners) in a match. It says nothing about how many players are spinners or who opened the batting. We must test two candidate conclusions against this limited information.



Given Data / Assumptions:


  • Total runs = 200; runs by spinners = 160.
  • No details about batting order, team composition, or overs faced by spinners vs others.


Concept / Approach:
From a statistic about outputs (runs), we cannot infer headcount (percent of team that are spinners) or role (who opened) without further data. Output shares do not imply composition shares.



Step-by-Step Solution:


Conclusion I (“80% of the team consists of spinners”): 160/200 = 80% of runs, not players. The inference confuses share of runs with share of personnel. Does not follow.Conclusion II (“The opening batsmen were spinners”): The stem is silent on batting order. Also does not follow.


Verification / Alternative check:
It is consistent with the stem that a few spinners batted unusually well, or that many non-spinners failed; neither tells us who opened, nor the roster mix.



Why Other Options Are Wrong:


Any option that selects I or II (alone or either) attributes information not present. Therefore “neither” is the only defensible choice.


Common Pitfalls:
Assuming proportionality between outputs and headcount; or extrapolating batting order from aggregate runs.



Final Answer:
if neither Conclusion I nor II follows

More Questions from Statement and Conclusion

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