Question
What will be the remainder when 97531 is divided by 9?
This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is
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.
Was this answer helpful?
Similar Questions
Which of the following is divisible by 15?
Important Questions from Divisibility and Remainder
- Which of the following numbers divides 6,30,605?
- What smallest number should be added to 57846 so that the sum is completely divisible by 58?
What smallest number should be added to 16809 so that the sum is completely divisible by 41?
- What smallest number should be added to 91673 so that the sum is completely divisible by 88?
- When a number divided by 8379 gives the remainder 87. What will be the remainder when the same number divided by 63?
Need Expert Advice?
Test Series
Railways
RPF Constable Mock Test Series 2025 (New)
600 Tests 10 Tests Free
26367 Attempts
4.8(489)
English, Hindi, Tamil +7 More
More Questions from RPF Constable
