Civil Service Exam Reviewer · Logical Reasoning · hard

Consider the statements: "If the dam releases water, then the river rises. If the river rises, then the low-lying barangays are flooded." Suppose it is true that the low-lying barangays are not flooded. Which conclusion necessarily follows?

  1. The dam releases water.
  2. The low-lying barangays are flooded.
  3. No definite conclusion can be drawn.
  4. The dam does not release water.

Answer

D. The dam does not release water.

Solution

The chain gives: if the dam releases water, then the low-lying barangays are flooded. Since the low-lying barangays are not flooded, it cannot be that the dam releases water (modus tollens). Therefore, the dam does not release water.

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