Bill heard that in “The Hall of Operations”, there was another ancient temple, named “The Reciprocus”.

Legend says that when an occupant, say “a”, of the “House of Rational Numbers, Q” enters the temple, it exits the temple as a different occupant, “b”,belonging to the same house. Bill observed that, these occupants “a” and “b”, when they enter the hall of multiplication, they exit the hall as “1”.

Bill realized that the numerical counterparts of a and b (Earth 1) are ___________ of each other.

Additive Inverses

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Multiplicative Inverses

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Reciprocals

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Identities

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Solution

The correct options are
B
Multiplicative Inverses

C
Reciprocals

As a and b when multiplied together give 1, they are multiplicative inverses of each other. They are also called as reciprocals of each other.

Suggest Corrections

Similar questions

Bill met a couple of friends from the “House of Rational Numbers, Q”. They claimed to be unharmed by The Reciprocus. Bill challenged both of them to prove their claim. These occupants went to the temple, entered and exited the temple,with no effect on them! The Reciprocus had no effect on these occupants!

How many occupants could be in that group? (Enter the numerical value)

___

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]

Bill heard that the temple, The Reciprocus, does not allow one occupant of the house to enter. Which occupant is that?

(Enter the numerical value)

___

Bill was walking in the ruins of “The Hall of Operations” where he found another ancient community hall. It was named The Negativus.

The behavior of this hall is similar to that of The Reciprocus in the sense that any occupant of the “House of Rational Numbers, Q” exit The Negativus as a different occupant, belonging to the same House.

Bill immediately came to the conclusion that, just like The Reciprocus did not allow The Oblivion, The Negativus also does not allow The Oblivion. Is Bill’s conclusion True or False?

Bill heard that the two entries of the “Hall of Division” had special names – Numerator and Denominator. A special detector is installed at the entry “Denominator” so that it does not allow one specific occupant (referred to as “The Oblivion”) from the “House of Rational Numbers, Q”. When Bill enquired as to why the entry “Denominator” shows such strict regulations towards this particular occupant, he was told that the presence of The Oblivion at the “Denominator” entry could erase the entire Earth 2 from existence and that life on Earth 2 would become undefined.

Choose the correct inference made by Bill:

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The correct options are B Multiplicative Inverses C Reciprocals As a and b when multiplied together give 1, they are multiplicative inverses of each other. They are also called as reciprocals of each other.

The correct options are
B
Multiplicative Inverses

C
Reciprocals

As a and b when multiplied together give 1, they are multiplicative inverses of each other. They are also called as reciprocals of each other.