Maths Tricks : Tips and Tricks to Solve Quantitative Aptitude Test Questions on Percentages PART - 8

Let me explain this rule by taking examples
consider number 34568276, we have to calculate the reminder on diving this number by 7 11 and 13 respectively.
make triplets as written below starting from units place


34.........568..........276
now alternate sum = 34+276 = 310 and 568
and difference of these sums = 568-310 = 258


divide it by 7 we get reminder as 6
divide it by 11 we get reminder as 5
divide it by 13 we get reminder as 11 Method:- first calculate the digit sum , then divide it by 3, the reminder in this case will be the required reminder

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example:- 1342568
let the number is as written above
its digit sum = 29 = 11 = 2
so reminder will be 2 Let me explain this trick by taking examples

67^2 = [6^2][7^2]+20*6*7 = 3649+840 = 4489
similarly
25^2 = [2^2][5^2]+20*2*5 = 425+200 = 625
Take one more example
97^2 = [9^2][7^2]+20*9*7 = 8149+1260 = 9409
Here [] is not an operation, it is only a separation between initial 2 and last 2 digits

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