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.

-2

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-99/34

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2.3/4.4

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Solution

The correct options are
A
-2

B
-99/34

C
2.3/4.4

D
0

Rational numbers are numbers which can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.
All the given numbers can be expressed as p/q.
we have, (-2) = $\frac{- 2}{1}$
$\frac{- 99}{34}$
$\frac{2.3}{4.4}$ = $\frac{23}{44}$
0 = $\frac{0}{1}$

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Similar questions

Bill wanted to confirm his observation regarding the physical sizes of occupants of the “House of Rational Numbers, Q”. He observed two such occupants – " $\frac{2}{3}$ " and " $\frac{3}{5}$ "

Bill told himself – " $\frac{3}{5}$ " has physically a larger size. Say whether Bill’s inference is True or False.

Bill took his time to admire the “House of Rational Numbers, Q”. He observed an interesting feature of the occupants on Earth 2.

The physical size of the occupants depends on their numerical value, i.e. if “a” and “b” are two occupants of the house, the sizes of “a” and “b” depend on the numerical values“a” and “b”. If a $>$ b, then “a” would appear larger and if a $<$ b, “a” would appear smaller compared to “b”

Bill noticed TWO occupants of the house which were equal in size. Who could these occupants be? Choose all the correct possible pairs.

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 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?

Bill noticed that it was easy to find occupants of the “House of Rational Numbers, Q” if they “dressed up” in their decimal form. He wanted to understand if he could locate the occupants of the house on Numerus Linum if they were in their “ $\frac{p}{q}$ ” form. Bill remembered interacting once with the occupant “ $\frac{2}{9}$ ” before. He thought of locating this on the line. Bill knew that this occupant lived between occupants “0” and “1” – both of which had markings on the line. To locate “ $\frac{2}{9}$ ”, Bill first mentally divided the part on Numerus Linum between 0 and 1 with required number of markings – which was “x”. Then he navigated to division number “y” after 0 to reach “ $\frac{2}{9}$ ”.

What is the numerical value of (x+y)?

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The correct options are A -2 B -99/34 C 2.3/4.4 D 0 Rational numbers are numbers which can be expressed in the form of p/q, where p and q are integers and q is not equal to zero. All the given numbers can be expressed as p/q. we have, (-2) = −21 −9934 2.34.4 = 2344 0 = 01