Read the following two statements. Then use the Law of Syllogism to draw a conclusion.

Question

 If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will have a picnic.

 

A. If it is a beautiful day, then the sun is shining.

B.If we have a picnic, then it is a beautiful day.

C. If the sun is shining, then we will have a picnic.

D. If we have a picnic, then the sun is shining.

Answer 1

The Law of Syllogism says that if (A implies B and B implies C), then A implies C.

 

In this case:

 

A = The sun is shining

B = It is a beautiful day

C = We will have a picnic

 

The two statements they give you mean that A implies B and B implies C.

 

So the Law of Syllogism tells you that A implies C, or:  If the sun is shining, then we will have a picnic.  That's choice C.