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Statements: I. Some musicians play tabla. II. All tabla players need to be trained for at least 10 years. Which conclusion logically follows?

Difficulty: Easy

Correct Answer: Some musicians may have been trained for at least 10 years.

Explanation:

Introduction / Context:Translate statements into set/implication form and test candidate conclusions.

Given Data / Assumptions:

  • Some musicians ⊂ tabla players (i.e., ∃ musician who is a tabla player).
  • All tabla players ⇒ trained ≥ 10 years.

Concept / Approach:Chain the implications: musician ∧ tabla ⇒ trained ≥ 10 years. Therefore, there exists at least one musician with ≥ 10 years training.

Step-by-Step Solution:

• From I, pick a musician who plays tabla.• From II, that person has ≥ 10 years training.• Therefore, “Some musicians may have been trained for at least 10 years” follows.

Why Other Options Are Wrong:

• (a) About children—irrelevant.• (b) Reverses implication (training ≥ 10 years ⇒ tabla)—not given.• (d) Universal claim—unsupported.• (e) Rejected since (c) follows.

Common Pitfalls:Assuming converses of “all.”

Final Answer:Some musicians may have been trained for at least 10 years.

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