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A3 - digit 5a8 is divisible by 9 .find the value of a​

Answer» <html><body><p>A five digit number is <a href="https://interviewquestions.tuteehub.com/tag/divisible-2588966" style="font-weight:bold;" target="_blank" title="Click to know more about DIVISIBLE">DIVISIBLE</a> by 9. A new number is formed by <a href="https://interviewquestions.tuteehub.com/tag/interchanging-517287" style="font-weight:bold;" target="_blank" title="Click to know more about INTERCHANGING">INTERCHANGING</a> the hundreds and the ones digits. What is the <a href="https://interviewquestions.tuteehub.com/tag/remainder-1184282" style="font-weight:bold;" target="_blank" title="Click to know more about REMAINDER">REMAINDER</a> when this new number is divided by 9?There is a trick for checking whether a number is divisible by nine:Trick: Divisibility by NineAdd up the digits of the <a href="https://interviewquestions.tuteehub.com/tag/numberif-2879859" style="font-weight:bold;" target="_blank" title="Click to know more about NUMBERIF">NUMBERIF</a> the sum is divisible by nine, the original number is divisible by nineLet’s test this on a number that I know is divisible by 9:12345678Add up the digits: 1+2+3+4+5+6+7+8 = 3636 is divisible by 9, so 12345678 is also divisible by 9Now, let’s interchange the hundreds and the units digits:12345876Add up the digits: 1+2+3+4+5+6+7+8 = 36(it’s <a href="https://interviewquestions.tuteehub.com/tag/okay-585274" style="font-weight:bold;" target="_blank" title="Click to know more about OKAY">OKAY</a> to add them out of order)Do you see that if your original number is divisible by 9, so will your rearranged number.So, I ask you this question:A five-digit number is divisible by 9. A new number is formed by interchanging the hundreds and ones digits. What is the remainder when this new number is divided by 9?</p></body></html>


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