To determine how many times the statement lines 50 and 60 will be repeated in the provided BASIC program, we need to analyze the FOR loop defined in line 40. Let's break it down step-by-step.
Step-by-Step Explanation
- Understanding the FOR Loop:
- The FOR loop in line 40 is defined as
FOR J = K TO STEP 2. However, this syntax is slightly incorrect. The correct syntax should be FOR J = K TO L STEP 2, where K is the starting value, L is the ending value, and STEP defines the increment.
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In this case,
K is initialized to 2 (line 10) and L is initialized to 9 (line 20). Therefore, the loop should be interpreted as FOR J = 2 TO 9 STEP 2.
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Calculating the Values of J:
- The loop starts at
J = 2 and increments by 2 each time until it reaches or exceeds L (which is 9).
- The values of
J during each iteration will be:
- 1st iteration: J = 2
- 2nd iteration: J = 4
- 3rd iteration: J = 6
- 4th iteration: J = 8
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After this, the next increment would make
J = 10, which exceeds L = 9, and thus the loop will terminate.
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Counting the Iterations:
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From the above calculations, we see that the values of
J are 2, 4, 6, and 8. This means the loop executes a total of 4 times.
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Execution of Lines 50 and 60:
- Since lines 50 and 60 are inside the FOR loop, they will be executed once for each value of
J. Therefore, they will also be executed 4 times.
Conclusion
The correct answer to the question "How many times will the statement lines 50 and 60 be repeated?" is
C. 4.
Explanation of Other Options
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Option A (2): This option is incorrect because it underestimates the number of iterations. The loop runs for values 2, 4, 6, and 8, which totals 4 iterations, not 2.
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Option B (3): This option is also incorrect. It suggests that the loop would only run for three values, which is not the case. The loop runs for four values as explained above.
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Option D (5): This option is incorrect as well. The loop does not reach a fifth iteration because the next value after 8 would be 10, which exceeds the upper limit of 9.
Revision Summary
- The FOR loop starts at
K = 2 and ends at L = 9, incrementing by 2.
- The values of
J during the loop are 2, 4, 6, and 8.
- The loop executes a total of 4 times, meaning lines 50 and 60 are executed 4 times.
- The correct answer is C. 4.