All the roses in garden are red. All the lilies in garden are yellow. All the…

2025

All the roses in garden are red.

All the lilies in garden are yellow.

All the flowers in garden are either red or yellow.

If the given two statements are true, the third statement is

  1. A.

    True

  2. B.

    False

  3. C.

    Uncertain

  4. D.

    None Of These

Show answer & explanation

Correct answer: C

Concept: In statement-and-conclusion reasoning, a conclusion is judged True only if it necessarily holds in every scenario consistent with the given statements, and False only if it necessarily fails in every such scenario. When some consistent scenarios make the conclusion true and others make it false, the conclusion cannot be pinned down, it is Uncertain.

Application: The first two statements fix the colour of roses (red) and lilies (yellow), but they say nothing about whether the garden contains any other kind of flower. Two scenarios are both consistent with the given statements:

  • The garden contains only roses and lilies, so every flower is red or yellow and the third statement holds.

  • The garden also contains a flower of a different colour, such as a blue tulip, so the third statement fails even though the first two statements are still true.

Cross-check: Because one consistent scenario makes the third statement hold and another makes it fail, neither True nor False is forced by the given statements, and the three-way classification (true, false, uncertain) already accounts for this case, so no residual category is needed.

Result: The third statement's truth cannot be fixed from the given statements alone, so it is Uncertain.

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