Choose one of the following inferences for the questions given below:Statements:No bat is ball.No ball is a watch.Inferences:A. Some bats are not watches.B. No bats are watches.
Question
Choose one of the following inferences for the questions given below:Statements:No bat is ball.No ball is a watch.Inferences:A. Some bats are not watches.B. No bats are watches.
Solution
The correct inference from the given statements "No bat is ball" and "No ball is a watch" would be "B. No bats are watches".
Here's the step by step reasoning:
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The first statement says "No bat is ball". This means there is no overlap between bats and balls. They are two completely separate groups.
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The second statement says "No ball is a watch". This means there is also no overlap between balls and watches. They are two completely separate groups.
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Since bats and balls are separate, and balls and watches are separate, it follows that bats and watches must also be separate. There is no way for a bat to be a watch because that would require it to also be a ball, which we know from the first statement is not possible.
Therefore, the correct inference is "B. No bats are watches".
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