In a division sum, the divisor is 9 times the quotient and 3 times the remainder. If the remainder is 42, what is the dividend?
1806
The remainder is given as 42.
The divisor is 3 times the remainder: \(3 \times 42 = 126\).
The divisor is 9 times the quotient, so the quotient \(= \frac{126}{9} = 14\).
By the division algorithm, dividend \(= \text{divisor} \times \text{quotient} + \text{remainder}\).
So dividend \(= 126 \times 14 + 42 = 1764 + 42 = 1806\).
Hence, the dividend is 1806.
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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:
