Civil Service Exam Reviewer · Logical Reasoning · medium

Consider the statement: "If Mang Jose pays his real property tax early, then Mang Jose receives a discount." Suppose it is true that Mang Jose does not receive a discount. Which conclusion necessarily follows?

  1. Mang Jose does not pay his real property tax early.
  2. Mang Jose pays his real property tax early.
  3. Mang Jose receives a discount.
  4. No definite conclusion can be drawn.

Answer

A. Mang Jose does not pay his real property tax early.

Solution

If Mang Jose pays his real property tax early, then Mang Jose receives a discount would follow. But Mang Jose does not receive a discount, so it cannot be that Mang Jose pays his real property tax early. Therefore, Mang Jose does not pay his real property tax early. (This is modus tollens.)

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