Question

Choose two numbers from the box to complete the sentence.



The dividend _______ on dividing by the divisor _______ gives 275 as the quotient.

• A. $5,775$ and $15$
• B. $5,775$ and $21$
• C. $5,775$ and $25$
• D. Cannot be determined

Answer 1

The correct option is B $5,775$ and $21$

Dividend $÷$ Divisisor = Quotient.

Find the quotient for each of the given options through the box method of division.

In the option 1:
Dividend = $5775$
Divisor = $15$

Now, solving the division process using box method,


You got the final quotient as : $385$
As $385\ne 275$, so, first option is incorrect.

In the option 2:
Dividend = $5775$
Divisor = $21$

Now, solving the division process using box method,


You got the final quotient as: $275$
This is equal to the value given in the option 2.

∴ Only option 2 is correct and the quotient will be: $275$.

Now, in the option 3
Dividend = $5775$
Divisor = $25$

Solving the division process using box method,


You got the final quotient as: $231$
As $231\ne 275$, so, option 3 will also not be correct.

∴The correct selection of numbers will be:
Dividend = $5775$
Divisor = $21$.
And the final quotient will be: $5775/div21=275$.

So, option 2 is the correct choice.