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Statements: Some pens are red. Some pens are blue. Conclusions: I. Some red are blue.
II. No red is blue. Which of the conclusions follows?

Competition practiceSyllogism
  • AOnly conclusion II follows
  • BEither conclusion I or II follows
  • CNeither conclusion follows
  • DOnly conclusion I follows

Step-by-Step Solution

Nothing links the red things to the blue things directly, so neither I nor II is individually certain. But they are a complementary pair covering all possibilities (either some red are blue, or none are), so one of them must be true — hence 'either I or II follows'.
Answer: B) Either conclusion I or II follows

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