What is the smallest number that must be added to 45873 so that the sum is divisible by 11?
8
Dividing 45873 by 11, we get \(45873 = 11 \times 4170 + 3\), so the remainder is \(3\).
To make the number exactly divisible by 11, we need to add \(11 - 3 = 8\) to it.
Checking: \(45873 + 8 = 45881\), and \(45881 \div 11 = 4171\), which is exact.
Hence, the smallest number to be added is 8.
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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:
