Question:
Statements:
I. Some players are singers.
II. All singers are tall.
Conclusions:
I. Some players are tall.
II. All players are tall.
Statements:
I. Some players are singers.
II. All singers are tall. Conclusions: I. Some players are tall.
II. All players are tall.
II. All singers are tall. Conclusions: I. Some players are tall.
II. All players are tall.
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For statement-conclusion questions, use Venn diagrams and test each conclusion independently. "Some" does not imply "all," and universal conclusions require universal premises.
Updated On: Aug 7, 2025
- only conclusion I follows.
- only conclusion II follows
- neither I nor II follows.
- both I and II follow
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The Correct Option is A
Solution and Explanation
Let us analyze the logical structure of the statements and conclusions:
Statements:
1. Some players are singers. → This is a particular affirmative (I-type) statement.
2. All singers are tall. → This is a universal affirmative (A-type) statement. We try to draw the Venn diagram: - A portion of the "players" circle overlaps with "singers". - The entire "singers" circle is inside "tall". From this, we can infer: - Some players are singers, and all singers are tall. So the players who are singers must be tall. Thus, Conclusion I — "Some players are tall" — follows logically. Conclusion II — "All players are tall" — is a universal statement, but we only know that some players (who are singers) are tall. This does not imply that \emph{all} players are tall. Hence, only Conclusion I follows.
2. All singers are tall. → This is a universal affirmative (A-type) statement. We try to draw the Venn diagram: - A portion of the "players" circle overlaps with "singers". - The entire "singers" circle is inside "tall". From this, we can infer: - Some players are singers, and all singers are tall. So the players who are singers must be tall. Thus, Conclusion I — "Some players are tall" — follows logically. Conclusion II — "All players are tall" — is a universal statement, but we only know that some players (who are singers) are tall. This does not imply that \emph{all} players are tall. Hence, only Conclusion I follows.
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