Question of the week 07-Jan-2018
The remainder after dividing 535353...(20 digits in total) with 101 is
a) 1 b) 0 c) 99 d) None of the above
Answer to the previous week question here. This question is part of my upcoming book and it is solvable in less than 10 seconds. Your answer only with a logical explanation is welcomed in the comments section. Stay tuned for the technique and the answer. I am making sure that my upcoming book is with many such beautiful problems . Reading it will provoke new thoughts and bring out the best in you.
Solution (14-Jan-18)
Every number of the form "abab" is divisible by 101.
This is because abab = 101 * ab. So, in total 20 digits we have 5 such sets of "abab" and hence the entire number should be divisible by 101.
a) 1 b) 0 c) 99 d) None of the above
Sorry for the delay in posting question of the week. It has been a month since i posted my previous question. Due to my other works, i couldn't focus and find the time to post this article.
Answer to the previous week question here. This question is part of my upcoming book and it is solvable in less than 10 seconds. Your answer only with a logical explanation is welcomed in the comments section. Stay tuned for the technique and the answer. I am making sure that my upcoming book is with many such beautiful problems . Reading it will provoke new thoughts and bring out the best in you.
Solution (14-Jan-18)
Every number of the form "abab" is divisible by 101.
This is because abab = 101 * ab. So, in total 20 digits we have 5 such sets of "abab" and hence the entire number should be divisible by 101.
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