What will be the remainder when 97531 is divided by 9?
7
7 is correct.
This works because 10 leaves remainder 1 on division by 9, so every power of 10 also leaves remainder 1.
A number leaves the same remainder on division by 9 as the sum of its digits.
Sum of digits \(=9+7+5+3+1=25\).
\(25=2\times 9+7\), so the remainder is 7.
Similar Questions
Which of the following is divisible by 15?
Important Questions from Divisibility and Remainder
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:
How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?
