How many lines of output will be displayed when the following code is executed?display “Hello”for x = 1 to 4     display “Outer loop”, x     for y = 1 to 6 step 2         if y > x then              display “Inner loop”, y         endif     next ynext xdisplay “end”a.12b.10c.8d.14

Let's analyze the code step by step to determine how many lines of output will be displayed.

1. The first line of the code is:

   display “Hello”
   

   This will display "Hello". So, we have 1 line of output so far.

2. Next, we have a loop:

   for x = 1 to 4
   

   This loop will iterate 4 times (for x = 1, 2, 3, 4).

3. Inside this loop, we have:

   display “Outer loop”, x
   

   This will display "Outer loop" followed by the value of x. Since the outer loop runs 4 times, this line will be executed 4 times. So, we have 4 more lines of output.

4. Inside the outer loop, there is another loop:

   for y = 1 to 6 step 2
   

   This loop will iterate with y taking the values 1, 3, and 5 (since the step is 2).

5. Inside the inner loop, we have a conditional statement:

   if y > x then
       display “Inner loop”, y
   endif
   

   This will display "Inner loop" followed by the value of y only if y is greater than x.

   Let's break down the inner loop for each value of x:

   • When x = 1:
     • y = 1 (1 > 1 is false, no output)
     • y = 3 (3 > 1 is true, output "Inner loop 3")
     • y = 5 (5 > 1 is true, output "Inner loop 5")
     • 2 lines of output
   • When x = 2:
     • y = 1 (1 > 2 is false, no output)
     • y = 3 (3 > 2 is true, output "Inner loop 3")
     • y = 5 (5 > 2 is true, output "Inner loop 5")
     • 2 lines of output
   • When x = 3:
     • y = 1 (1 > 3 is false, no output)
     • y = 3 (3 > 3 is false, no output)
     • y = 5 (5 > 3 is true, output "Inner loop 5")
     • 1 line of output
   • When x = 4:
     • y = 1 (1 > 4 is false, no output)
     • y = 3 (3 > 4 is false, no output)
     • y = 5 (5 > 4 is true, output "Inner loop 5")
     • 1 line of output

   Summarizing the inner loop outputs:

   • For x = 1: 2 lines
   • For x = 2: 2 lines
   • For x = 3: 1 line
   • For x = 4: 1 line
   • Total: 2 + 2 + 1 + 1 = 6 lines of output

6. After the loops, we have:

   display “end”
   

   This will display "end". So, we have 1 more line of output.

Adding all the lines of output:

• "Hello": 1 line
• "Outer loop" lines: 4 lines
• "Inner loop" lines: 6 lines
• "end": 1 line

Total lines of output: 1 + 4 + 6 + 1 = 12 lines

Therefore, the correct answer is: a. 12