Question

Unit 4 Progress Check: MCQ

Start Date3/31/2021Due5/15/2021Performance16/18
Q5 calculate total equivalent for loops
Skill 4.C
1/1 MC point
Consider the following code segment.
int total = 0;

for (int k = 0; k <= 100; k += 2)
{
total += k;
}
Which of the following for loops could be used to replace the for loop in the original code segment so that the original and the revised code segments store the same value in total?
A
for (int k = 0; k < 100; k += 2)
{
total += k + 1;
}
B
for (int k = 1; k < 101; k += 2)
{
total += k - 1;
}
C
for (int k = 0; k <= 101; k += 2)
{
total += k + 1;
}
D
for (int k = 1; k <= 101; k += 2)
{
total += k + 1;
}
E
for (int k = 1; k <= 101; k += 2)
{
total += k - 1;
}

Answer 1

Option D correctly maintains the original loop's even increments (k += 2) and adjusts for the starting value, ensuring accurate accumulation of values in the 'total' variable. So, the correct option is D for
`(int k = 1; k < = 101; k += 2){total += k + 1;}`.

Step-by-step explanation:

The correct option is D for
`(int k = 1; k < = 101; k += 2){total += k + 1;}`. In the given code segment, the original for loop initializes an integer variable 'total' to zero and iterates through even values of 'k' up to 100 (k += 2), accumulating them in the 'total' variable. To replace this loop while maintaining the same result, we need to consider the adjustments made to the loop variable and the values added to 'total' in each iteration.

Option D, for
`(int k = 1; k < = 101; k += 2)`
`{ total += k + 1; }`, is the correct choice. It starts 'k' from 1 to ensure the loop begins with an odd value, aligning with the original loop's even increments. The addition of (k + 1) compensates for the even increments, ensuring the correct summation of even numbers in 'total.' Other options either introduce off-by-one errors in the starting or ending values of 'k' or incorrectly modify the values added to 'total,' resulting in a deviation from the original summation.

Understanding the nuances of loop control variables is fundamental in programming, especially in scenarios where code efficiency and correctness are paramount. Properly adjusting loop parameters is crucial for maintaining the desired behavior and achieving accurate results in computational tasks.