Question

in a big hostel there are 1000 rooms in that hostel the natural number from 1 to 1000 are used to represent the room no. one fine morning the warden calls out all the residents and tele them to go back to their rooms as well as multiples of their room no. when a student visits a room and finds the door open he close it if the door closed he opens it all the thousand students do this all the doors are closed initially

Q(1)-the last room that is closed is room no.?

Q(2)-the 38th room that is open is room no.?

Answer 1

Answer:

1000,1000-38=962. hope it helps