Finding the Divisor
This problem requires finding the divisor using the fundamental relationship between the dividend, divisor, quotient, and remainder in division.
Division Algorithm Formula
The relationship is defined by the division algorithm:
$Dividend = (Divisor × Quotient) + Remainder$
In this problem, we have:
- Dividend = 15,971
- Quotient = 55
- Remainder = 21
- Divisor = Let's denote this as $D$
Applying the Formula to Find Divisor
Substitute the given values into the division algorithm formula:
$15,971 = (D \times 55) + 21$
Solving for the Divisor
To find the divisor $D$, first isolate the term involving $D$ by subtracting the remainder from both sides of the equation:
$15,971 - 21 = D \times 55$
$15,950 = D \times 55$
Next, divide the result by the quotient (55) to determine the value of the divisor $D$:
$D = \frac{15,950}{55}$
Performing the division calculation:
$D = 290$
Thus, the divisor is 290.
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Important Questions from Divisibility and Remainder
If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y), for the maximum value of y?
If all positive divisors of 132 are arranged in descending order, then what digit will be at unit place of first divisor ?
If 3 2019 is divided by 10, then what is the remainder?
The number 3798125P369 is divisible by 7. What is the value of the digit P?
Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.
Which of the following is/are correct?
1. S is always divisible by 74.
2. S is always divisible by 9.
select the correct answer using the code given below:
