31. It is given that integer x = 41 and integer y = 16. What is the value of the expression (x % 8) - y?
Answer: A
-15
To find the value of the expression (x % 8) - y, we first calculate x % 8. Since x is 41, we compute 41 % 8, which equals 1. Then, we subtract y (16) from this result: 1 - 16 equals -15.
A) -15
This option is correct because the calculation of (41 % 8) results in 1, and when subtracting 16 from 1, the final result is -15.
B) -11
This option is incorrect. If we were to reach -11, the calculation would imply that (41 % 8) would need to be 5, leading to 5 - 16 = -11. However, since 41 % 8 equals 1, this scenario does not apply.
C) -8
This option is also incorrect. For the result to be -8, the calculation would require (41 % 8) to equal 8, which is not possible since the maximum remainder when dividing by 8 is 7. Thus, -8 cannot be the outcome of the given expression.
D) 1
This option is incorrect. If the expression were to equal 1, then (41 % 8) would need to equal 17 (1 + 16), which is not valid as we already determined that (41 % 8) equals 1.
Conclusion
The correct answer is -15, as the proper calculation of (41 % 8) results in 1, and subtracting 16 from this value yields -15. All other options fail because they misinterpret the modulo operation or the subsequent subtraction.