Let $p, q, r$ denote the statements “It is raining”, “It is cold”, and “It is pleasant”, respectively. Then the statement “It is not raining and it is pleasant, and it is not pleasant only if it is raining and it is cold” is represented by

Let the given propositions be:

• $p$: "It is raining"

• $q$: "It is cold"

• $r$: "It is pleasant"

We translate the statement into logical components:

1. "It is not raining and it is pleasant":

$$eg p \wedge r$$

2. "It is not pleasant only if it is raining and it is cold":

In propositional logic, the conditional phrase "$A$ only if $B$" translates directly to $A \rightarrow B$. Here, $A = eg r$ ("it is not pleasant") and $B = p \wedge q$ ("it is raining and it is cold"). Therefore, this clause is: $$eg r \rightarrow (p \wedge q)$$

3. Combining both clauses with the conjunction "and":

$$( eg p \wedge r) \wedge ( eg r \rightarrow (p \wedge q))$$

Hence, option (A) is the correct representation.