If you complete 24 graduate credits and a thesis in our department, you are eligible to receive a master's degree. Roger has completed 24 graduate credits in our department, yet he is not eligible to must not have finished his thesis yet.
What this question is testing
Structure
The argument is a logic puzzle. Rule: credits plus thesis equals master's degree eligibility. Roger has the credits but not the eligibility. So the missing piece must be the thesis.
The Logic
Think of it like a recipe: if you have flour AND eggs, you can make a cake. Roger has flour but no cake. Therefore, Roger must not have eggs. Simple, valid, elegant reasoning by process of elimination.
Goal
Find the answer that follows the same recipe: two ingredients needed for a result, one ingredient confirmed, result absent, therefore the other ingredient must be missing.
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