Given: - A table showing the required courses (from Courses 1–9) for four certifications (A, B, C, and D).
- A candidate receives a certification after completing all its required courses. Example: Certification A requires candidates to take Courses 1, 2, 5, 7, and 9.
- If a course is completed once, it does not need to be repeated for another certification.
Marina will:
- First take all and only the courses required for the certification that requires the least number of courses.
- Then take all and only the courses required for the certification that requires the least number of additional courses, and so on.
To Find: For each statement, determine whether it is accurate based on the table.
Solution:Statement 1: Marina will receive Certification A first
Since Marina prioritizes the certification(s) that need the least number of courses, we need to determine total courses required for each certification.
To count required courses for each, count the number of stars in each column.
- Certification A: Total Number of courses required = 5 (Courses 1, 2, 5, 7, 9)
- Certification B: Total Number of courses required = 4 (Courses 1, 2, 4, 6)
- Certification C: Total Number of courses required = 4 (Courses 1, 3, 5, 8)
- Certification D: Total Number of courses required = 3 (Courses 1, 6, 7)
Fewest total courses = 3 (for Certification D). So, Marina receives Certification D first (not A as statement 1 says).
We mark "No"Statement 2: Marina will receive Certification B second.
Again, we will calculate the number of additional courses needed for each certification other than D.
First note that after Certification D, we have 3 completed courses: 1, 6, 7.
So, additional courses required for remaining certifications:
- Certification A: Total Number of additional courses required = 3 (Courses 2, 5, 9)
- Certification B: Total Number of additional courses required= 2 (Courses 2, 4)
- Certification C: Total Number of additional courses required = 3 (Courses 3, 5, 8)
Fewest number of additional courses required = 2 (for Certification B). So, Marina receives Certification B second, just as statement 2 says.
We mark "Yes"Statement 3: Marina will receive Certification C third.
Once more, we will calculate the number of additional courses needed for each certification other than D and B.
Note that after Certifications B and D, we have 5 completed courses: 1, 6, 7, 2, 4
So, additional courses required for remaining certifications:
- Certification A: Total Number of additional courses required = 2 (Courses 5, 9)
- Certification C: Total Number of additional courses required = 3 (Courses 3, 5, 8)
Fewest number of additional courses required = 2 (for Certification A). So, Marina receives Certification A third (not C as statement 3 says).
We mark "No"Correct Answers: No, Yes, NoShweta KoshijaGMAT, GRE, SAT Coach for 10+ years