No pens are pencils. Some pencils are erasers.Conclusions:No pens are erasers.Some erasers are pencils.A. Only conclusion 1 followsB. Only conclusion 2 followsC. Both 1 and 2 followD. Neither 1 nor 2 follows
Question
No pens are pencils. Some pencils are erasers.Conclusions:No pens are erasers.Some erasers are pencils.A. Only conclusion 1 followsB. Only conclusion 2 followsC. Both 1 and 2 followD. Neither 1 nor 2 follows
Solution
The answer is B. Only conclusion 2 follows.
Here's why:
The first statement says that no pens are pencils. The second statement says that some pencils are erasers.
From these two statements, we cannot definitively conclude that no pens are erasers. It's possible that there are some pens that are erasers, just not any that are pencils. So, conclusion 1 does not follow.
However, we can definitively conclude that some erasers are pencils, because the second statement told us so. Therefore, conclusion 2 does follow.
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