ANS:B - If a class has synchronized code, multiple threads can still access the nonsynchronized code.

B is correct because multiple threads are allowed to enter nonsynchronized code, even within a class that has some synchronized methods. A is incorrect because static methods can be synchronized; they synchronize on the lock on the instance of class java.lang.Class that represents the class type. C is incorrect because only methods—not variables—can be marked synchronized. D is incorrect because a sleeping thread still maintains its locks.