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Home » By what number should be 1365 be divided to get 31 as quotient and 32 as remainder?
By what number should be 1365 be divided to get 31 as quotient and 32 as remainder?
CBSE | Class 10 | Exercise 1A | Maths | Real Numbers | RS Aggarwal
By what number should be 1365 be divided to get 31 as quotient and 32 as remainder?

Solution:

It is given that,
Dividend =1365, Quotient =31, Remainder
Let the divisor be x
\begin{array}{l}\text { Dividend }=\text { Divisor } \times \text { Quotient }+\text { Remainder } \\ \quad 1365=x \times 31+32 \\ \Rightarrow \quad \quad \quad 1365-32=31 x \\ \Rightarrow \quad \quad 1333=31 x \\ \Rightarrow \quad \quad x=\frac{1333}{31}=43\end{array}

As a result, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.

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