Based on the information above, which of these statements CANNOT be true?

A. Some people on Ted's team do not work on the third floor.
B. Some people who work on the third floor are on Ted's team.
C. Some people on Ted's team do not work on Project A.
D. Some people on Ted's team work on the third floor.
E. Nobody who works on the third floor is on Ted's team.

Answer :

The statement that cannot be true is 'Nobody who works on the third floor is on Ted's team' because it contradicts the fact that some employees on Project A, which is located on the third floor, are part of Ted's team.Therefore, the correct answer is option E. Nobody who works on the third floor is on Ted's team.

Based on the provided information, we need to determine which statement cannot be true. Let's analyze each option:

  • Some people on Ted's team do not work on the third floor: This could be true since not all of Ted's team members have to work on Project A.
  • Some people who work on the third floor are on Ted's team: This could be true because some employees who work on Project A (which is on the third floor) are on Ted's team.
  • Some people on Ted's team do not work on Project A: This could be true, as only some (not necessarily all) team members work on Project A.
  • Some people on Ted's team work on the third floor: This must be true since some people on Project A are on Ted's team and all who work on Project A are on the third floor.
  • Nobody who works on the third floor is on Ted's team: This cannot be true because it contradicts the statement that some employees who work on Project A are on Ted's team, and all Project A workers are on the third floor.

Therefore, the statement that cannot be true is E. Nobody who works on the third floor is on Ted's team because it directly contradicts the given facts.