Tower A is neither a building with the Bloomberg logo nor managed by Yale Housing.
No buildings in New Haven are higher than 400 meters.  All buildings managed by Yale Housing are in New Haven.  All buildings in Manhattan are higher than 400 meters.  All buildings owned by Bloomberg are in Manhattan.  All buildings with the Bloomberg logo are buildings owned by Bloomberg.  Tower A is neither in New Haven nor in Manhattan. Tower B is a building with the Bloomberg logo and in Manhattan. 
∀x (NewHaven(x) → ¬High(x)) ∀x (YaleHousing(x) → NewHaven(x)) ∀x (Manhattan(x) → High(x)) ∀x (Bloomberg(x) → Manhattan(x)) ∀x (BloombergLogo(x) → Bloomberg(x)) ¬(NewHaven(towera) ⊕ Manhattan(towera)) BloombergLogo(towerb) ∧ Manhattan(towerb)