If we divide a positive integer by another positive integer, what is the resulting number?

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It is always a natural number

It is always an integer

It is a rational number

It is an irrational number

answer is C.

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Detailed Solution

Concept- To solve this question, we need to know about the basic facts of division, like,
“On dividing two positive integers we will get a positive number.”
To be more specific, we will consider the different cases for two positive integers and then we divide them. Finally, we will observe the resulting numbers and draw a conclusion which should obtain us our desired answer.
Since, we know that the division of two positive integers will give the positive number.
Now, let us consider '

' and '

' are two positive integers.
In this problem, we will consider two different cases
Case 1: if the integer '

' is exactly divisible by '

' then we can say that

will be a positive integer.
For example: let us take

and

Since, we know that 6 is exactly divisible by 2 , i.e.,

Since, we can say that the resulting number is a positive integer.
Case 2 : if the integer '

' is not exactly divisible by '

' then we can say that

will be positive and rational.
For example: let us take

and

.
Here, we know that 7 is not exactly divisible by 3 , i.e.,

Since, we can say that the resulting number is positive and rational.
From the above cases, we can say that,
If we divide a positive integer with another positive integer,
Then the resulting number will be either positive integer or positive rational number.
Hence, the correct option is 3.

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