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SQUARE OF ANY TWO DIGIT NUMBER

Explanation By Taking an Example:

672 = [62 ][72 ]+ 20 x 6 x 7 = 3649 + 840 = 4489

Similarly, 252 = [22 ][52 ]+ 20 x 2 x 5 = 425 + 200 = 625

Let us take another example:

962 = [92 ][62 ]+ 20 x 9 x 6 = 8136 + 1080 = 9216

REMAINDER ON DIVIDING THE NUMBER BY 7, 11 AND 13

Explanation By Taking an Example:

Let us consider a number 34568276

Step 1: Make triplets as written below starting from units place 34…….568…….276

Step 2: Sum up the alternate groups = 34+276 = 310 and the other group remains 568

Step 3: Subtract the sum of groups i.e 568 – 310 = 258

Divide it by 7 we get remainder as 6

Divide it by 11 we get remainder as 5

Divide it by 13 we get remainder as11

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