'...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-

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Solution

The correct option is C
-1

If you take a number line, 3 - 4 means moving 4 units to the left of 3 on the number line. After the 1^st step, you will reach 2. After the 2^nd step, you will reach 1 and so on. If you keep on going like this, you will reach -1 after the 4^th step.

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Now, everybody seemed to be happy with your proposed solution except one dwarf. He stood and then asked, 'I have understood everything but why have you given '0' a different colour?' You were about to answer to his question when Shubhlin stopped you and told: I will answer your question sir. '0' is coloured differently because it 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 __.

'Any more doubts anybody?' you asked everybody there. After that, the council concluded that this design was good and they were all so happy after getting the knowledge of negative numbers and integers. They allowed you to leave to Earth. Everybody thanked you. At the time you were leaving, it was 2:00 pm. You asked Shubhlin that where you actually were. Then he assured that you will know shortly. When you came out of the tunnel, it was very chilling. You asked about the temperature to Shubhlin, he told it is 6 degrees below 0.

At this, you told Shubhlin to use integers and tell the temperature once again. This time Shubhlin understood the question and answered correctly. What was the answer given by Shubhlin?

'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-

'Yes, that makes perfect sense. I understood the concept of negative numbers', said Shubhlin as other mathematicians nodded in agreement. Then you asked one more question, 'If you have understood the concepts, tell me if you have -5 gold coins and you earn 15 more gold coins. How many gold coins you have now, mathematically?

At this Shubhlin started thinking and told: I will have-

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The correct option is C -1If you take a number line, 3 - 4 means moving 4 units to the left of 3 on the number line. After the 1st step, you will reach 2. After the 2nd step, you will reach 1 and so on. If you keep on going like this, you will reach -1 after the 4th step.

The correct option is C
-1

If you take a number line, 3 - 4 means moving 4 units to the left of 3 on the number line. After the 1^st step, you will reach 2. After the 2^nd step, you will reach 1 and so on. If you keep on going like this, you will reach -1 after the 4^th step.