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.

Room N was inside Room W

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Room W was adjacent to Room I

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Room N and W are inside Room I

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Rational numbers are represented by the letter Q

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Solution

The correct options are
A
Room N was inside Room W

C
Room N and W are inside Room I

D
Rational numbers are represented by the letter Q

As Natural numbers along with zero make Whole numbers, so room N would be inside room W. Similarly, as Whole numbers and their negative counterparts make Integers, so room W would be inside room I. As all Integers along with fractions are part of Rational numbers, room I would be inside room Q.

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Similar questions

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.

Having left the “House of Rational Numbers, Q”, Bill wandered off to a playground where a group of occupants (numbers) of Earth 2 were playing. He observed that a team consisted only of the occupants from one room or a house.

The captain of one such team was " $\frac{2}{3}$ " an occupant of “House of Rational Numbers, Q”. He needs to pick players who are part of his house only. Select all the possible players given in the options below that the captain could pick.

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?

Bill understood the meaning of the engravings. He had a better idea of the nature of the occupants of “The House of Rational Numbers, Q”. He saw another stone which had the following message engraved:

"This hall would always be associative for any occupants of the "House of Rational Numbers, Q""

This stone could correspond to which of the four halls?

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?

___

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