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3.A friend of mme asked me to write down any multidigit number. But, he put a condition, the number should not end with a zero.I put down the number 96452Then he asked me to add up the five digits and subtract the total from the original number. I did and here is what I got: 96452 - 26 = 96426
He then asked me to cross out anyone of the five digits and tell him the remaining numbers. I crossed out the 2 and told him the rest of the digits. I neither told him the original number nor what I had done with it. Yet 'pop' he told me the exact number I had crossed out.
How do you explain it?
Ans) evry time if we add the no's remaining after striking off one among 5 digits the sum will that number less than a multiple of 9.
In this case after striking 2 remaining digits are =9646
If we add them 9+6+4+6=25
the nearest multiple of nine to 25 is = 27
Hence 25 is 2 less than 27
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