Divisor Calculation Using Algorithm
The relationship between the dividend, divisor, quotient, and remainder is defined by the division algorithm:
$ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} $
Dividing 12401: Given Values
We are provided with the following information:
- Dividend = 12401
- Quotient = 76
- Remainder = 13
Let the unknown divisor be represented by 'D'. Substitute the known values into the division algorithm equation:
$ 12401 = (D \times 76) + 13 $
Quotient and Remainder Calculation
To find the divisor 'D', we first rearrange the equation to isolate the term containing 'D':
$ 12401 - 13 = D \times 76 $
Simplify the left side:
$ 12388 = D \times 76 $
Now, solve for 'D' by dividing 12388 by 76:
$ D = \frac{12388}{76} $
Performing the division calculation:
$ D = 163 $
Remainder Check and Final Divisor
The calculated divisor is 163. This result confirms the value needed when 12401 is divided by 163, yielding a quotient of 76 and a remainder of 13.
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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:
