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

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:

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:

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

Final Answer:if neither Conclusion I nor II follows