Answer:

The correct directive used to inform the assembler about the names of the logical segments to be assumed for different segments used in the program is ASSUME.

Explanation:

In assembly language programming, a segment is a logical division of a program's memory space. Each segment has a specific purpose and contains specific types of data or code. These segments can include the code segment (where the program instructions are stored), data segment (where the program's data is stored), stack segment (used for managing the program's stack), and extra segments (used for additional data or code).

When writing assembly language programs, it is necessary to inform the assembler about the names of the logical segments to be assumed for different segments used in the program. This is done using the ASSUME directive.

The ASSUME directive allows the programmer to associate a logical name with a specific segment. This directive tells the assembler that a particular logical segment name should be associated with a specific physical segment in the memory. This association is important as it allows the assembler to correctly resolve references to variables and labels within the code.

Here's an example of how the ASSUME directive is used:

```
.MODEL small
.STACK
.DATA
message DB "Hello, world!", "$"
.CODE
main PROC
MOV AH, 09h
MOV DX, OFFSET message
INT 21h

MOV AH, 4Ch
INT 21h
main ENDP
END main
```

In the above example, the ASSUME directive is not explicitly used. However, it is automatically assumed by the assembler that the CODE segment is associated with the logical segment name _TEXT and the DATA segment is associated with the logical segment name _DATA.

In summary, the ASSUME directive is used in assembly language programming to inform the assembler about the names of the logical segments to be assumed for different segments used in the program. This association is important for correct resolution of references to variables and labels within the code.