'What on earth?? -1?? Sir, what are you talking about? Numbers like that do not exist.' the dwarf told with utter surprise. You told, 'As a matter of fact, they do.' Then the dwarf went to arrange the council of mathematicians. Now, you really wanted to know where you were. Given the behaviour of the dwarf, you must be some important person. Why not play a little longer??

After the council was called, you found yourself amidst several dwarf mathematicians. In the centre, there sat two dwarfs who looked almost alike. Then you told: The number which you all know, the counting numbers, are known as-

Natural numbers

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Whole numbers

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Prime numbers

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Integers

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Solution

The correct option is A
Natural numbers

All the counting numbers starting from 1 are known as Natural numbers.

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The moment you completed your sentence, one of the angry-looking dwarf mathematicians told- 'You think we don't know that?? We discovered natural numbers long ago. Tell us what is -1?? Don't waste our time.' Enough of the super nice welcome huh! Then you asked- Do you know about the whole numbers? One from the dwarfs gave the answer from somewhere in the crowd- I know about the whole numbers. Whole numbers are -

After clearing all the doubts, you asked everyone, 'I know why I am here but I still don't know how I am here. Will anybody tell me?' On this, one of the 2 dwarfs who looked almost alike told: 'You are on the planet of dwarfs. You are 150 light years away from home.' After listening to that, you got so surprised. 'Well, I would like to go back now', you told. But they didn't allow you to leave until you solved their problem. Then he told about his problem: We have built a tunnel and rail tracks. We have stations starting from number 1. Now, to connect the dwarfs from the opposite side, we need to build a new track. We can't use the same station names as it will create confusion. Can we use the concept of integers here? If yes, what can we do?

'...and they lived happily thereafter', you finished the story of the Twin dwarves of Greeza and slept. When you woke up, you were in a room so small that if you stood, you could touch the ceiling by jumping. Suddenly you realised that the room is so small that only a dwarf could fit inside properly. Then, the door opened and a dwarf entered. He bowed and told: 'There is one problem, sir. Our mathematicians are not able to find the answer to the question of Shubhlin.'

Who?? Sir?? What's happening?? Am I dreaming?? All these questions started roaming in your mind. But what about the question asked by Shubhlin?? When you asked the dwarf, he told: 'Shubhlin asked what is 3 - 4?' You replied: It is simple. The answer is-

'Yes, that is right. Who told the answer??' you asked. When the dwarf who answered the question came forward, everybody gasped with surprise except the fellow mathematicians who became even angrier. When you asked his name, he told that his name was Shubhlin. He was the one who asked that question. Then you told, 'I am from India. The digit 0 was invented by the great Aryabhata in my country. Whole numbers are not the only numbers there. The question asked by Shubhlin does make sense. We have already found the answer to those questions.'

Then you continued- There is a set of numbers which contains 0, natural numbers and negatives of natural numbers altogether called __.

Since you were talking about so many concepts, one more point came to your mind. You gathered attention of all curious dwarfs and told, 'Did you all observe this interesting thing?? -1 is at the same distance from 0 as is 1. Same is true for -2, -3 and every other integer. What does it mean??'

One of the council members stood and told, 'They add to become equal to 0.' You smiled and told: Indeed they add to become zero. Such numbers which are negatives of each other are also known as __________ ____________ of each other.

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The correct option is A Natural numbersAll the counting numbers starting from 1 are known as Natural numbers.

The correct option is A
Natural numbers

All the counting numbers starting from 1 are known as Natural numbers.