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Each question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.A : X is an actor. Some actors are pretty. X is pretty.B : Some men are cops. All cops are brave. Some brave are cops.C : All actors are brave. Some men are actors. Some men are brave.D : All actors are pretty. X is not an actor. X is not pretty.

Question

Each question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.A : X is an actor. Some actors are pretty. X is pretty.B : Some men are cops. All cops are brave. Some brave are cops.C : All actors are brave. Some men are actors. Some men are brave.D : All actors are pretty. X is not an actor. X is not pretty.

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Solution

The correct answer is C: All actors are brave. Some men are actors. Some men are brave.

Here's the step-by-step reasoning:

A: X is an actor. Some actors are pretty. X is pretty.

  • This is incorrect because X being pretty cannot be logically deduced from the first two statements. It's possible that X is an actor who is not pretty.

B: Some men are cops. All cops are brave. Some brave are cops.

  • This is incorrect because the third statement can be deduced from the first statement alone. If some men are cops, then it's already given that some brave are cops.

C: All actors are brave. Some men are actors. Some men are brave.

  • This is correct. If all actors are brave and some men are actors, it logically follows that some men are brave.

D: All actors are pretty. X is not an actor. X is not pretty.

  • This is incorrect because X not being pretty cannot be logically deduced from the first two statements. X could be not an actor but still be pretty.

This problem has been solved

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