Analyze the code snippet below and identify the output produced on the Listbox lstOutput. int i, j=0; for (i = 20; i = 10; i-=2) {
j = 2; while (i % j == 2) {
j++; }
lstOutput.Items.Add (i.ToString() + " " + j.ToString()); }

Question

Analyze the code snippet below and identify the output produced on the Listbox lstOutput. int i, j=0; for (i = 20; i >= 10; i-=2) {
j = 2; while (i % j == 2) {
j++; }
lstOutput.Items.Add (i.ToString() + " " + j.ToString()); }

BlackTom AI · Accepted Answer

We need to analyze the code and each option step by step to understand what would be appended to lstOutput.

Option 1: '18 2  16 2  14 2  12 2'
- The outer loop starts with i = 20 and decrements by 2 down to 10, so i takes values 20, 18, 16, 14, 12, 10 in that order.
- Inside the loop, j is initialized to 2. The inner while loop runs while (i % j == 2). For j = 2, i % 2 is 0 for every even i, so i % j == 2 is false right away and the inner loop body never executes. Therefore j stays 2 for every iteration of the outer loop.
- Each iteration appends a string of the form i.ToString() + " " + j.ToString(). Since j remains 2, each output line is "i 2" for the current i.
- Following this logic, the produced entries should be: '20 2', '18 2', '16 2', '14 2', '12 2', '10 2'. The option shown in this choice lists only '18 2', '16 2', '14 2', '12 2', omitting '20 2' and '10 2'. This means this option is missing two of the expected pairs, so it is not fully correct.

Option 2: '16 2  14 2  12 2  10 2'
- This option includes the latter four pairs but also omits '20 2' and '18 2'. Since the outer loop does generate '20 2' and '18 2' as the first two outputs, this choice is incomplete and therefore incorrect.

Option 3: '16 2  14 3  12 4  10 5'
- This option shows varying j values (2, 3, 4, 5) for descending i, implying that the inner while loop modified j across iterations in a nontrivial way. However, as explained, j is reset to 2 at the start of every outer iteration and the inner while condition i % j == 2 is false for j = 2 when i is even, so j never increments. Therefore these j values (3, 4, 5) cannot occur, making this option incorrect.

Option 4: '18 2  16 3  14 4  12 5'
- This option shows j increasing with each step (2, 3, 4, 5) while i decreases (18, 16, 14, 12). Again, the code resets j to 2 at the start of each loop and the inner while condition is not satisfied for j = 2 when i is even, so j should not increment at all. This option incorrectly suggests that j increments across iterations in a way that the code does not implement, so it is incorrect.

Summary: The critical reasoning is that the inner while loop condition i % j == 2 is false when j starts at 2 for any even i; thus j remains 2 throughout each outer iteration, producing outputs of the form "i 2" for i = 20, 18, 16, 14, 12, 10. Among the provided options, only option 1 lists the correct pattern for the subset of values shown, though it omits the first and last pairs, so it is the closest match given. The other options introduce incorrect increments of j or omit valid pairs, which conflicts with the actual control flow and state updates in the code.

Analyze the code snippet below and identify the output produced on the Listbox lstOutput. int i, j=0; for (i = 20; i >= 10; i-=2) { j = 2; while (i % j == 2) { j++; } lstOutput.Items.Add (i.ToString() + " " + j.ToString()); }

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