Mathematics
Easy

Question

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?If it is snowing heavily, then school will be canceled.If school is canceled, the big test will not be given today.It is snowing heavily; therefore,

Hint:

The correct answer is: The big test will not be given today.

In the question the given statements are1. If it is snowing heavily, then school will be canceled.2. If school is canceled, the big test will not be given today.Here, we have to complete the concluding statement It is snowing heavily; therefore, using the law of syllogism.Let statement (1) be p, statement (2) be q and the conclusion be r.In syllogism if p equals q and q equals r then p equals r.So, the conclusion will be If it is snowing heavily, then the big test will not be given today.Thus, the complete concluding statement will be If it is snowing heavily, then the big test will not be given today.Therefore, the correct option is b, i.e., the big test will not be given today.

In Law of Syllogism if a statement p equals q and if q equals r, then p equals r whereas in Law of Detachment if a statement p equals q where p is true then q is also true.