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 -

Natural numbers along with -1.

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Natural numbers along with -2.

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Natural numbers along with 0.

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Natural numbers along with integers.

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Solution

The correct option is C
Natural numbers along with 0.

Whole numbers are all the natural numbers along with zero.

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'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-

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?

'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 __.

Q. You: Do you know what Fred is doing?

Charlie: I don't know what Fred is doing.

This is the conversation between Charlie and You yesterday.

Later that day you tell another friend about what Charlie said.

Change the sentence below in reported speech:

Charlie: I don't know what Fred is doing.

Make a new sentence from the information given in bracket:

(Your friend asked you about Sue's schedule tonight, You want to reply that you don't know.)

I don't know _____.

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The correct option is C Natural numbers along with 0.Whole numbers are all the natural numbers along with zero.

The correct option is C
Natural numbers along with 0.

Whole numbers are all the natural numbers along with zero.