DIRECTIONS:In the question below are four statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements. Statement I : Some pens are bats. Statement II : Some bats are boxes. Statement III : All boxes are pencils. Statement IV : No pencil is notebooks. Conclusion I : No pens are notebooks. Conclusion II : Some pencils are pens. Conclusion III : Some pencils are bats. Conclusion IV : No boxes are notebooks.Choices:- None follow II and III follow Either I or III follow Both III and IV follow
Question
DIRECTIONS:In the question below are four statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements. Statement I : Some pens are bats. Statement II : Some bats are boxes. Statement III : All boxes are pencils. Statement IV : No pencil is notebooks. Conclusion I : No pens are notebooks. Conclusion II : Some pencils are pens. Conclusion III : Some pencils are bats. Conclusion IV : No boxes are notebooks.Choices:- None follow II and III follow Either I or III follow Both III and IV follow
Solution
The given statements are:
Statement I : Some pens are bats. Statement II : Some bats are boxes. Statement III : All boxes are pencils. Statement IV : No pencil is notebooks.
From these statements, we can infer the following:
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Since some pens are bats and some bats are boxes, it is possible that some pens are boxes. And since all boxes are pencils, it is possible that some pens are pencils. Therefore, Conclusion II (Some pencils are pens) follows.
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Since some bats are boxes and all boxes are pencils, it is possible that some bats are pencils. Therefore, Conclusion III (Some pencils are bats) follows.
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Since all boxes are pencils and no pencil is a notebook, it is clear that no box is a notebook. Therefore, Conclusion IV (No boxes are notebooks) follows.
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However, we cannot definitively say that no pens are notebooks based on the given statements. Therefore, Conclusion I (No pens are notebooks) does not follow.
So, the correct answer is "Both III and IV follow".
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