False Statement: Variables can be declared only after they are initialized.

Explanation:
Variables are an essential concept in programming languages as they are used to store and manipulate data. They are like containers that hold values of different types such as numbers, characters, or even complex data structures.

a) A variable is assigned with a datatype.
- This statement is true. When a variable is declared, it is assigned a data type that determines the kind of data it can store. Examples of data types include integers, floating-point numbers, strings, etc.

b) Variable is the name of a memory location.
- This statement is true. A variable is essentially a name given to a memory location where the data is stored. By using the variable name, we can access and manipulate the data stored in that memory location.

c) The lifetime of a variable is confined to its scope.
- This statement is true. The lifetime of a variable refers to the duration for which the variable exists in memory. The scope of a variable determines where it can be accessed within the program. Variables have different levels of visibility depending on their scope. Once the scope of a variable ends, its memory is freed, and the variable is destroyed.

d) Variables can be declared only after they are initialized.
- This statement is false. In most programming languages, variables can be declared without being explicitly initialized with a value. When a variable is declared without initialization, it may have an undefined or garbage value until a value is assigned to it later in the program.

Initializing a variable means assigning it an initial value at the time of declaration. However, it is not mandatory to initialize a variable at the time of declaration. There can be situations where the value of a variable is not known or will be assigned later based on certain conditions.

For example, in C++:
```
int x; // Declaration without initialization
x = 5; // Initialization later in the program
```

In conclusion, the false statement is option 'D' because variables can be declared without being initialized.