What will be output by the following pseudocode if the number 10 is input as X?

Question

BlackTom AI · Accepted Answer

To solve this, first note the loop condition and the operations inside. The pseudocode initializes X with the input value and then enters a While X <= 10 loop.

Option a. 100: On the first (and only) iteration, X equals 10, so the test X < 10 is false. We take the Else branch, performing Y = X * X, which gives Y = 10 * 10 = 100. Then X is incremented to 11, the loop condition fails, and Y (which is 100) is printed. This makes 100 the output.

Option b. 0: There is no operation that sets Y to 0 in this path. Since X starts at 10 and we compute Y as either X+X or X*X, Y cannot become 0 here.

Option c. 20: The only way to get 20 would be if we took the then-branch with X = 10, yielding Y = X + X = 20. However, the condition X < 10 is false at X = 10, so the then-branch is not executed in this case.

Option d. 10: This would imply Y remains equal to X, or that the loop produced a result equal to the input. But the computation sets Y to either X+X or X*X, not simply X, so 10 cannot be the final output for X = 10.

In summary, the loop runs exactly once with X = 10, takes the else-branch to compute Y = 100, increments X to 11, exits, and prints 100. Therefore, the correct output is 100.

What will be output by the following pseudocode if the number 10 is input as X?

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