Arithmetic Operation Practice Questions

The Math.floor(double a) method in Java returns the largest double value that is less than or equal to the argument $a$.
For the input $-7.4$, we evaluate the mathematical floor function $\lfloor x \rfloor$, which finds the largest integer $n$ such that $n \leq x$.
By definition, since $-8 \leq -7.4 < -7$, the largest integer less than or equal to $-7.4$ is $-8$.
Therefore, $\text{Math.floor}(-7.4)$ returns $-8.0$, which is represented as $-8$ in the given options.

The expression $a = (x > y) ? ((x > z) ? x : z) : ((y > z) ? y : z)$ calculates the maximum value among $x$, $y$, and $z$.
For Option A, where $x = 3$, $y = 4$, and $z = 2$:

1. Evaluate the first condition $(x > y) \Rightarrow (3 > 4)$, which is False.
2. Since the condition is false, the expression proceeds to the else part: $((y > z) ? y : z)$.
3. Substitute the values: $(4 > 2) ? 4 : 2$.
4. Since $(4 > 2)$ is True, the expression returns $y$, which is $4$.
   Thus, $a = 4$, confirming Option A is correct.