Answer

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**Hint**: In this question, we are provided with two numbers. And we have to calculate the remainder by dividing one number with the other. Take the number with whom we are dividing the other number. Let choose the number \[27\] as dividend and \[4\] as divisor and further simplify by using division operation to get the required reminder.

**:**

__Complete step-by-step answer__The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. The division is an operation inverse of multiplication.

In division, we divide a number by any other number to get another number as a result. So, the number which is getting divided here is called the dividend. The number which divides a given number is the divisor. And the number which we get as a result is known as the quotient. The divisor which does not divide a number completely produces a number, which is referred to as remainder.

In the given question, we have to find the remainder on dividing the \[27\] with \[4\].

Here we consider, \[27\] as dividend and \[4\] as divisor.

We can represent the given question in division form as:

\[ \Rightarrow \,\dfrac{{27}}{4}\]

We divide the 27 by 4, in the table of 4 we will not get 27. So, we will consider the near value of 27.

When the number 4 is multiplied 6 times we get 24 which is nearer to the number 27. Now on subtracting 24 from 27 we get reminder 3 and on further dividing we get decimal quotient. So, we will keep reminder as 3

Hence, the remainder of 27 divided by 4 is 3.

**So, the correct answer is “3”.**

**Note**: In this question, \[27\] is the dividend \[4\] is the divisor and dividing these we got \[6\] as quotient and \[3\] is our remainder. We can also check our answer by using the dividend divisor remainder method. Where we can use the formula known as the remainder formula:

Dividend \[ \div \] divisor \[ = \] quotient \[ + \] remainder \[ \div \] divisor

Or can be written as

Dividend \[ = \] Quotient \[ \times \] divisor \[ + \] remainder.

On substituting, we have

\[27 = 6 \times 4 + 3\]

\[27 = 24 + 3\]

On simplification, we get

\[27 = 27\]

Which verified our answer.

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