Final answer:
The false statement is option a) most classes used in Java programs must be imported explicitly; this is incorrect because classes from 'java.lang' are automatically imported, and classes within the same package do not need explicit imports.
Step-by-step explanation:
The false statement in the question provided is:
a. Most classes you'll use in Java programs must be imported explicitly. This statement is false because, in Java, classes from the java lang package are automatically imported into every program, so they do not need to be imported explicitly. Additionally, if you define multiple classes within the same package, you do not need to import them when using them in other classes in the same package. However, classes that are in other packages, such as java. until or java.io, must indeed be imported explicitly to be used in your program unless they reside in the same directory and are part of the default package.
The statements b, c, and d are true. Classes compiled in the same directory without a package declaration belong to the default package, and Java does not require import declarations for classes within the same package—hence, they are implicitly imported when compiling your Java program. So, the false statement is option a) most classes used in Java programs must be imported explicitly;