Question

Either Rado does not make a sapphire watch or if Movado makes one then so does Pulsar.

Option 1: Rado makes a sapphire watch.
Option 2: Movado makes a sapphire watch.
Option 3: Pulsar makes a sapphire watch.
Option 4: Rado does not make a sapphire watch

Answer 1

This question involves logic and can be represented using propositional logic. The only option that would make the given statement false is option 4: Rado does not make a sapphire watch.

Step-by-step explanation:

This question involves logic and can be represented using propositional logic. Let's define the variables:

• R: Rado makes a sapphire watch
• M: Movado makes a sapphire watch
• P: Pulsar makes a sapphire watch

The given statements can be translated as follows:

• Either ~R or (M → P)

Now, we can analyze the options:

1. Rado makes a sapphire watch (~R), then the given statement is true. However, if ~R is true, then (M → P) can be true or false, making the entire statement true or false.
2. If Movado makes a sapphire watch (M), then (~R or (M → P)) is true. This means that either ~R is true (in which case the entire statement is true) or (M → P) is true (in which case the entire statement is true).
3. If Pulsar makes a sapphire watch (P), then (~R or (M → P)) is true. This means that either ~R is true (in which case the entire statement is true) or (M → P) is true (in which case the entire statement is true).
4. If Rado does not make a sapphire watch, then (~R) is true, making (~R or (M → P)) true.

So, options 1, 2, and 3 all lead to the given statement being true. Therefore, the only option that would make the given statement false is option 4: Rado does not make a sapphire watch.