Bill realizes that the room contained natural numbers and hence the room was named Room N. He infers that in this world, the names of rooms depended on their occupants. As he goes around inspecting the numbers, he hears someone knocking the door and after a little bit of exploring, he finds a door in Room N. On opening the door, he sees a new occupant, ‘0’. When ‘0’ comes inside the Room N, the walls disappeared making the room bigger.The nameplate then read Room W. (Think of the relevance of the “W” in the name of this room)

The occupants of this newly formed room are called __ numbers.

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Solution

Natural numbers along with 0 constitute the Whole numbers. The relevance of the ‘W’ in Room W comes from the fact that Whole numbers are represented by W.

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Similar questions

Bill was curious to find the room into which the previous number went in (which exited the “Hall of Division” when occupants “7” and “8” went in). He came out of the room he was in and was surprised at what he saw!

He noticed that the previous rooms he saw – Room N, Room W and Room I were all inside a huge house whose nameplate read – “House of Rational Numbers, Q”. This house of rational numbers was part of a huge villa – many times larger. Bill couldn’t see the nameplate of this villa.

He realized that the arrangements of the Rooms N, W and I inside “House of Rational Numbers, Q” were in logical accordance with the nature of numbers in Earth 1. What could Bill’s inferences be? Choose ALL the correct inferences Bill should have made.

Bill and “0” were having their introductions when “0” claimed that it could make any number from Room “W” become “0” if “new” numbers (occupants) from a different room could interact with the numbers of “W”. Bill thought of verifying this and opened the door of Room “W”. He was surprised to find a huge set of occupants similar to those in Room “W” but they carried a “negative” sign along with them. The moment these numbers entered “Room W”, the room changed again and the signboard now read “Room I”.

(Integers are represented by the letter I)

Now, amongst the new occupants who came in, which is the greatest?

It’s Earth 2. Everything here is the same as on our planet Earth, but the only difference is that here, the occupants are numbers form our world. Bill is the only human from Earth 1 to travel to Earth 2. As you progress along the chapter, Bill observes the way the occupants (numbers) of Earth 2 behave and would eventually realize that the laws of numbers hold good everywhere in the universe!

So, Bill enters a room, whose nameplate read, Room N. He notices that, inside the room, the occupants were numbers which he used on a daily basis to count stuff around.

If Bill calls the smallest number among them, which number would turn up?

___

Bill noticed a couple of occupants (numbers) of Room W, “7” and “8”, enter the “Hall of Division”. The resultant number that comes out from the hall is an occupant of which of the following rooms?

From inside the Room I, Bill noticed a huge commercial space, “The Hall of Operations”, which contained four halls named Addition, Subtraction, Multiplication and Division. These halls were named according to the operation being carried out. Each of these halls had 2 entries and only 1 exit.

Bill observed that when any two occupants (numbers) entered the room through the entries, the operation specified by the hall happened on the numbers in the order they enter and from the exit, came the result.

Bill noticed occupants from Room I enter “The Hall of Operations” in pairs.

From which of the halls would the occupant coming out from the exit be from Room I? [Select ALL the relevant options]

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