Synchronized methods in a single class instance are mutually exclusive. Only one thread can execute a synchronized method at a time. The first thread to enter the synchronized method will execute it, and the second thread will wait until the first one completes its execution. The order of execution is not defined, and thread priority does not affect synchronization.

To play an animation in reverse order from the end position in JavaFX, you can use the reverse() method of the Animation class. This method reverses the animation, making it appear as if it's playing backward. The other options do not specifically address reversing animations.

In JDBC, to handle a transaction, you must set the auto-commit mode to false using the setAutoCommit(false) method before starting the transaction. This ensures that multiple SQL statements can be treated as a single transaction until explicitly committed. Setting it to true would mean auto-commit mode is enabled, where each SQL statement is treated as a separate transaction.

In Java, the submit method of the ExecutorService interface is used to submit a Callable task and returns a Future object representing the result of the computation. This method is commonly used for asynchronous tasks that return results.

In Java, constructors are special methods used to initialize objects. They have the same name as the class they belong to, making option 1 ("class") the correct choice. Constructors cannot have a return type.

The "%" (modulo) operator in Java is used to divide the left-hand operand by the right-hand operand and returns the remainder. For example, "10 % 3" returns 1 because 10 divided by 3 leaves a remainder of 1. The other operators perform different arithmetic operations.

In Java, when you create a HashMap without specifying an initial capacity, it defaults to an initial capacity of 16. This means that initially, the HashMap can accommodate 16 key-value pairs. However, as the number of entries increases and reaches a certain threshold (usually 75% of the capacity), the HashMap automatically resizes itself, doubling its capacity. So, option (a) is correct, with the explanation that it can ideally accommodate 16 entries initially but will resize when necessary.

When a method is overridden in the child class, the version of the method in the child class is called when the method is invoked on an instance of the child class. This is known as method overriding and is a fundamental concept in object-oriented programming.

To ensure thread safety in a multithreaded application, you can use synchronized methods for read and write operations on the shared User object. This prevents multiple threads from accessing and modifying the object simultaneously, avoiding data corruption and race conditions. The other options do not provide effective thread safety mechanisms.

The lock() method of the Lock interface is used to acquire the lock. It blocks until the lock is available and then acquires it. The unlock() method is used to release the lock. The acquire() and tryLock() methods are not part of the standard Lock interface in Java.