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1. All roses are flowers.2. All flowers are lilies.3. No lily is white.Which of these choices is/are TRUE if the above given statements are true?

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Question

  1. All roses are flowers.
  2. All flowers are lilies.
  3. No lily is white.

Which of these choices is/are TRUE if the above given statements are true?

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Solution

A. All roses are lilies. B. No rose is white. C. Some lilies are roses. D. Some flowers are white.

Step by step analysis:

  1. If all roses are flowers and all flowers are lilies, then it follows that all roses are lilies. So, statement A is TRUE.

  2. If no lily is white and all roses are lilies, then it follows that no rose is white. So, statement B is TRUE.

  3. If all roses are lilies, then it follows that some lilies are roses. So, statement C is TRUE.

  4. If no lily is white and all flowers are lilies, then it follows that no flower is white. So, statement D is FALSE.

Therefore, statements A, B, and C are TRUE, while statement D is FALSE.

This problem has been solved

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