Difficulty: Medium

Average Score: 60%

What does the following algorithm determine?
if x < 0
a -1
elseif x == 0
a = 2
else
a = 3

Rationale

Whether x is negative, 0, or positive

This algorithm categorizes the variable x into one of three distinct states: negative, zero, or positive, by evaluating its value and assigning the variable a accordingly.

A (Whether x is negative, 0, or positive) CORRECT

This choice accurately reflects the algorithm's purpose, as it checks the value of x against conditions for being less than, equal to, or greater than zero, thus determining its sign.

B (Whether x is evenly divisible by 2 or 3) YOUR ANSWER

This option is incorrect because the algorithm does not perform any divisibility checks. It solely evaluates the value of x in relation to zero, without examining any arithmetic properties such as divisibility.

C (Whether x is odd) YOUR ANSWER

This choice is incorrect since the algorithm does not assess whether x is odd. It only discriminates based on whether x is less than, equal to, or greater than zero, without considering odd or even characteristics.

D (Whether x is even) YOUR ANSWER

This option is also incorrect, as the algorithm does not evaluate whether x is even. It merely categorizes x into three groups based on its comparison with zero, ignoring whether x itself is even or odd.

Conclusion

The algorithm effectively determines if x is negative, zero, or positive by checking its relationship to zero. The other options mistakenly suggest that the algorithm assesses divisibility or parity, which it does not. Understanding this classification is important for applying algorithms in programming and mathematical contexts.

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