All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Logical Equivalence
Suppose A, B, and C are statements such that C is false if exactly one of A or B is true. If C is true, which of the following is also true?
Possible Answers:
Both A and B are both False
A is false, B is true
A is true, B is false
Both A and B are True
Correct answer:
Both A and B are both False
Explanation:
Step 1: Let's break down the logic problem...
C is false if A or B is True.
Example: C-False, A-True, B-False.
Step 2: Try to find what happens if C is true
If C is true, "or" changes to "and", and True becomes false..
So: C-True, A-False, B-False..
A and B must both be false for C to be true..
Answer: Both A and B are False.
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All GRE Subject Test: Math Resources
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