We are asked to determine the value of the variable Z after executing the provided pseudo-code. The pseudo-code involves a `Do While` loop that modifies the values of variables `a`, `b`, and `Z`.

1. Problem Description

We are asked to determine the value of the variable Z after executing the provided pseudo-code. The pseudo-code involves a `Do While` loop that modifies the values of variables `a`, `b`, and `Z`.

2. Solution Steps

The pseudo-code is as follows:

```

Begin

a = 2

b = 3

Do While a <= b

a = a + 1

Z = a + b

End While

Display Z

End

```

Let's trace the values of the variables:

- Initially, $a = 2$ and $b = 3$.

- The `Do While` loop condition is $a <= b$, which is $2 <= 3$, so the loop executes.

- Inside the loop:

- $a = a + 1$, so $a = 2 + 1 = 3$.

- $Z = a + b$, so $Z = 3 + 3 = 6$.

- The loop condition is now $a <= b$, which is $3 <= 3$, so the loop executes again.

- Inside the loop:

- $a = a + 1$, so $a = 3 + 1 = 4$.

- $Z = a + b$, so $Z = 4 + 3 = 7$.

- The loop condition is now $a <= b$, which is $4 <= 3$, so the loop terminates.

- Finally, `Display Z` will output the value of Z.

Therefore, the value of Z is

7.

3. Final Answer

2) 7