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Some engineers are doctors. All doctors are professionals.Conclusions:Some engineers are professionals.Some professionals are doctors.A. Only conclusion 1 followsB. Only conclusion 2 followsC. Both 1 and 2 followD. Neither 1 nor 2 follows

Question

Some engineers are doctors. All doctors are professionals.Conclusions:Some engineers are professionals.Some professionals are doctors.A. Only conclusion 1 followsB. Only conclusion 2 followsC. Both 1 and 2 followD. Neither 1 nor 2 follows

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Solution

C. Both 1 and 2 follow

Here's why:

  1. Some engineers are doctors. All doctors are professionals. Therefore, some engineers (the ones who are doctors) are professionals. So, conclusion 1 follows.

  2. All doctors are professionals. This means that there are definitely some professionals who are doctors. So, conclusion 2 also follows.

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