Math Problem Statement
What will A represent at the end of the execution?
Number of students with highest marks only in Mathematics out of their three subjects' marks
Number of students with highest marks only in Mathematics and lowest marks only in Physics
Number of students with highest marks only in Chemistry out of their three subjects' marks
Number of students with lowest marks only in Physics out of their three subjects' marks
Solution
Let's analyze the code to determine what value will represent at the end of its execution.
The main part of the code iterates through each card (student) in Pile 1. For each student, it calls the procedure isInSeq(X)
and adds its return value to .
The isInSeq(X)
function works as follows:
- It checks if the student's Mathematics mark is greater than their Physics mark.
- If true, it then checks if the student's Physics mark is less than their Chemistry mark.
- If both conditions are true, it returns 1.
- Otherwise, it returns 0.
Thus, is incremented by 1 for each student that satisfies both conditions:
- Mathematics marks are the highest among the three subjects (greater than Physics).
- Physics marks are the lowest among the three subjects (less than Chemistry).
Given these conditions, will represent:
Number of students with highest marks only in Mathematics and lowest marks only in Physics.
Do you want more details or have any questions?
Here are some questions you might consider asking:
- How does the while loop in this code work?
- What happens if no student satisfies the conditions in
isInSeq
? - How would the code change if we wanted to count students with the highest marks in Chemistry?
- Can we modify the code to also output the students that satisfy the conditions?
- How would the logic change if we wanted to check for the lowest marks in Mathematics instead?
Tip: When analyzing code, it can be helpful to break down the logic into smaller parts and understand each part's function before looking at the entire algorithm.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Comparative Analysis
Formulas
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Theorems
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Suitable Grade Level
High School
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