Question

Perform the following steps:
Step 1: Start with x=1, y=2
Step 2: Replace x by x multiplied by y
Step 3: Replace y by y+1
Step 4: If y=5, then go to Step 6, otherwise go to Step 5
Step 5: Go to Step 2
Step 6: Stop What is the value of x?

Answer 1

Correct Answer: 24

To solve the problem and determine the value of x, we will follow the given steps:

Step 1: Start with \( x = 1 \), \( y = 2 \).
Step 2: Replace \( x \) by \( x \times y \).
Step 3: Replace \( y \) by \( y + 1 \).
Step 4: If \( y = 5 \), then go to Step 6; otherwise, go to Step 5.
Step 5: Go to Step 2.
Step 6: Stop.

Now, executing these steps:

1. Start with \( x = 1 \), \( y = 2 \).
2. Step 2: Update \( x \) by \( x \times y = 1 \times 2 = 2 \).
3. Step 3: Update \( y \) by \( y + 1 = 2 + 1 = 3 \).
4. Since \( y \neq 5 \), go back to Step 2.
5. Update \( x \) by \( x \times y = 2 \times 3 = 6 \).
6. Update \( y \) by \( y + 1 = 3 + 1 = 4 \).
7. Since \( y \neq 5 \), go back to Step 2.
8. Update \( x \) by \( x \times y = 6 \times 4 = 24 \).
9. Update \( y \) by \( y + 1 = 4 + 1 = 5 \).
10. Since \( y = 5 \), proceed to Step 6 and stop.

Thus, the final value of \( x \) is 24. This value falls within the provided range of 24 to 24.