If it is a holiday, then the office is closed. The office is open. What can we c

Practice Questions

Q1
If it is a holiday, then the office is closed. The office is open. What can we conclude?
  1. It is a holiday
  2. It is not a holiday
  3. The office is never closed
  4. The office is always open

Questions & Step-by-Step Solutions

If it is a holiday, then the office is closed. The office is open. What can we conclude?
  • Step 1: Understand the first statement: 'If it is a holiday, then the office is closed.' This means that holidays lead to the office being closed.
  • Step 2: Understand the second statement: 'The office is open.' This means that the office is not closed.
  • Step 3: Combine the two statements: Since the office is open, it cannot be a holiday because if it were a holiday, the office would have to be closed.
  • Step 4: Conclude: Therefore, we can conclude that it is not a holiday.
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