Let's Use Logic

August 3, 2015
Topics/Content Areas: 

The following are answer choices to a multiple choice question. If only one of the answers is correct, which letter choice must be the correct answer?

  1. All of the below
  2. None of the below
  3. All of the above
  4. One of the above
  5. None of the above
  6. None of the above

 

When Josh takes a survey of his 28 classmates, he gets the following results:

  • 14 like English class
  • 19 like Science class
  • 16 like Math class
  • 13 like English and Science class
  •   7 like Science and Math class
  •   5 like Math and English class

How many students like all English, Science and Math?

 

If this 4 × 4 grid must be filled with letters A, B, C and D, so that each letter appears once in each row and once in each column, what is the letter that will appear in the square labeled ♦?