Statements: All rockets are machines. Some rockets are vehicles. Conclusions: I. Some vehicles are machines. II. Some machines are rockets

Correct answer: A. Only II

  • A. Only II
  • B. Only I
  • C. Both
  • D. None

Explanation

In the given statements, 'All rockets are machines' implies that every rocket is a machine. Therefore, some machines are definitely rockets, which makes conclusion II true. However, 'Some rockets are vehicles' does not provide enough information to conclude that some vehicles are machines, as not all vehicles must interact with machines directly. Therefore, conclusion I does not necessarily follow from the given statements. The correct answer is Option A, 'Only II'.

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Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.

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