Answer:
the third option : to look into
What story are you talking about?
The third option is correct: "Art and math are courses architecture students must have on their schedules."
The other two uses the word "their" when referring to a single thing/person. The correct word should be: "Each architecture student must plan his/her high school and college courses carefully." and "Every school of architecture sets its own specific requirements."
Answer:
On your way out" means "as you go out/leave the room, or the building". Most often this would mean that you should lock the door after you have gone out of the building and shut the door behind you. So "lock the door on your way out" really means "Lock the door immediately after you have left the room/building". Which means that it can definitely be considered as giving an order.
There was war, so the plane got shot down?