Step 1: Understand the meaning of the method prototype.
A method prototype tells us what type of value the method will return after execution. In the given prototype, the method accepts two parameters:
\[
\texttt{char ch}
\]
and
\[
\texttt{int n}
\]
Now we have to identify the correct return type for a method that gives an answer in the form of \texttt{YES} or \texttt{NO}.
Step 2: Relate YES/NO to programming data types.
In programming, a YES/NO type result usually represents a logical decision. A logical decision has only two possible outcomes:
\[
\texttt{true} \text{ or } \texttt{false}
\]
In Java, the data type used for such two-way logical outcomes is:
\[
\texttt{boolean}
\]
So, if the method is supposed to check a condition and indicate whether it is satisfied or not, the most suitable return type is \texttt{boolean}.
Step 3: Compare with the given options.
- (A) boolean: Correct. It is used when the method returns a logical result such as true or false, which corresponds to YES or NO.
- (B) String: Incorrect. A String would return text like \texttt{"YES"} or \texttt{"NO"}, but for logical decisions the standard return type is \texttt{boolean}.
- (C) int: Incorrect. An integer returns numeric values, not logical results.
- (D) double: Incorrect. A double returns decimal values, which is not suitable here.
Step 4: Complete the method prototype.
Thus, the correct method prototype will be:
\[
\texttt{public boolean someMethod(char ch, int n)}
\]
Hence, the blank must be filled with \texttt{boolean}.
Final Answer:boolean.