It is given that integer x = 41 and integer y = 16. What is the value of the expression (x % 8) - y?

Rationale

-15

To solve the expression (x % 8) - y, we first calculate x % 8. Given x = 41, we find that 41 % 8 equals 1. Subtracting y, which is 16, from 1 gives us -15.

A (-15) CORRECT

This is the correct answer. The calculation shows that (41 % 8) - 16 equals 1 - 16, which simplifies to -15.

B (-11) YOUR ANSWER

This choice results from an incorrect calculation of the expression. If one mistakenly calculated (41 % 8) as 5 instead of 1, they would arrive at -11 by subtracting 16 from 5. However, the correct modulus operation reveals that the result is not 5.

C (-8) YOUR ANSWER

This option suggests that the result of (x % 8) - y is -8. This could occur if one miscalculated the modulus or the subtraction. The accurate computation shows that the modulus yields 1, not a higher value, leading to the conclusion that -8 is not a valid outcome.

D (1) YOUR ANSWER

Choosing 1 indicates a misunderstanding of the subtraction part of the expression. While (x % 8) equals 1, subtracting 16 from this result does not yield 1. Thus, this answer does not represent the correct outcome of the expression.

Conclusion

In this problem, we accurately calculated the expression (x % 8) - y by first determining the modulus of x and then performing the subtraction with y. The result of -15 confirms the correctness of the operation, while the other options stem from either miscalculations or misunderstandings of the modulus and subtraction processes involved.

It is given that integer x = 41 and integer y = 16. What is the value of the expression (x % 8) - y?

-15

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