In a division sum, the quotient, dividend and remainder are $15$, $940$ and $25$ respectively. The divisor is

### Concept & Formula The core principle relies on the standard Division Algorithm, which establishes the fundamental relationship between the four components of any division operation. $$ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} $$ ### Step-by-Step Solution * **Given:** * Quotient = $15$ * Dividend = $940$ * Remainder = $25$ * **Calculation:** * Substitute the known values into the division formula: * $940 = (\text{Divisor} \times 15) + 25$ * Isolate the term with the Divisor by subtracting the Remainder from both sides: * $940 - 25 = \text{Divisor} \times 15$ * $915 = \text{Divisor} \times 15$ * Divide by the Quotient to find the Divisor: * $\text{Divisor} = 915 / 15$ * $\text{Divisor} = 61$ ### Exam Strategy & Shortcut Instead of fully dividing $915$ by $15$, use the unit digit method to quickly verify the options. We need a number (Divisor) that, when multiplied by $15$, gives a product ending in $5$ (from $915$). Looking at the options, only $61$ ends in $1$. $1 \times 5 = 5$. Thus, Option (d) is the only logical choice. ### Common Pitfall Students often confuse the placement of the dividend and divisor in the formula, mistakenly trying to divide the dividend by the remainder or setting up the equation backwards. Always remember that the Dividend is the largest total block being broken down. ### Final Answer Therefore, the correct answer is **61**.