For each sentence below, decide whether it is an atomicstatement, a molecular statement, or not a statement at all.

1. There is a scary clown behind you.

2. There is a scary clown behind you and he is juggling.

3. Watch out!

Classify each of the sentences below as an atomic statement, amolecular statement, or not a statement at all. If the statement ismolecular, say what kind it is (conjuction, disjunction,conditional, biconditional, negation).

1. The sum of the first 10 squares.

2. Go to your room!

3. Everybody can be fooled sometimes.

4. Every even number is divisible by 2

5. Are we human or are we dancers?

Determine whether each molecular statement below is true orfalse, or whether it is impossible to determine. Assume you do notknow what my favorite number is (but you do know which numbers areprime).

1. If 18 is not prime, then 18 is my favoritenumber.

2. If 18 is my favorite number, then 18 isprime.

3. 18 is my favorite number or 3 is not myfavorite number.

4. If 3 is not prime, then 3 is my favoritenumber.

5. If 18 is prime, then 2â‹…182â‹…18 is prime

6. 18 is prime or 3 is prime

In my safe is a sheet of paper with two shapes drawn on it incolored crayon. One is a circle, and the other is a square. Eachshape is drawn in a single color. Suppose you believe me when Itell you that, if the circle is green, then the square is orange.What do you therefore know about the truth value of the followingstatements?

1. The circle is not green or the square isorange.

2. The circle and the square are bothgreen.

3. The circle the square are both orange.

4. If the square is orange, then the circle isgreen.

5. If the square is not orange, then the circleis not green.

Suppose the statement, \"if the circle is red, then thesquare is yellow,\" is true. Assume also that the converse isfalse. Classify each statement below as true or false (ifpossible).

1. The circle is red.

2. The circle is red if and only if the squareis not yellow.

3. The circle is red if and only if the squareis yellow.

4. The square is yellow.

Consider the statement, \"If you will give me magic beans,then I will give you a cow.\" Decide whether each statementbelow is the converse, the contrapositive, or neither.

1. You will give me magic beans and I will notgive you a cow.

2. If you will give me magic beans, then I willnot give you a cow.

3. If I will give you a cow, then you will notgive me magic beans.

4. If I will give you a cow, then you will giveme magic beans.

5. If you will not give me magic beans, then Iwill not give you a cow.

6. If I will not give you a cow, then you willnot give me magic beans.