Wednesday, June 17, 2015

Square tricks and tips of Natural numbers (51 to 74) for competitive exams

I am going to guide you for faster calculation of square with the help of some tricks. If you have prepared the procedure/ trick for the square of natural numbers from 25 to 50 then this tricky method of calculation of square of other numbers will help you to save your time in calculation of the square of numbers (51 to 74),
but practice is needed and compulsory. Its a expert advice not to avoid it.

In this range we use the trick which uses 25 & 50

Method :-

Step 1st :- Subtract 50 from these numbers & get the difference.

Step 2nd :- Now add the above difference to 25 & get the result.

Step 3rd :- Now follow the above result with the square of the difference of 1st step in 2- digit only

Demonstration of above method:-

512 →   Step 1st    51 – 50 = 01
             Step 2nd   25 + 01 = 26
             Step 3rd   Arrange it like this 26(01)2 → 2601
Get the required answer 512 = 2601

522 →   Step 1st    52 – 50 = 02
             Step 2nd   25 + 02 = 27
             Step 3rd   Arrange it like this 27(02)2 → 2704
Get the required answer 522 = 2704

532 →   Step 1st    53 – 50 = 03
             Step 2nd   25 + 03 = 28
             Step 3rd   Arrange it like this 28(03)2 → 2809
Get the required answer 532 = 2809

542 →   Step 1st    54 – 50 = 04
             Step 2nd   25 + 04 = 29
             Step 3rd   Arrange it like this 29(04)2 → 2916
Get the required answer 542 = 2916

562 →   Step 1st    56 – 50 = 06
             Step 2nd   25 + 06 = 31
             Step 3rd   Arrange it like this 31(06)2 → 3136
Get the required answer 562 = 3136

572 →   Step 1st    57 – 50 = 07
             Step 2nd   25 + 07 = 32
             Step 3rd   Arrange it like this 32(07)2 → 3249
Get the required answer 572 = 3249

582 →   Step 1st    58 – 50 = 08
             Step 2nd   25 +  08 = 33
             Step 3rd   Arrange it like this 33(08)2 → 3364
Get the required answer 582 = 3364

592 →   Step 1st    59 – 50 = 09
             Step 2nd   25 + 09 = 34
             Step 3rd   Arrange it like this 34(09)2 → 3481
Get the required answer 592 = 3481

612 →   Step 1st    61 – 50 = 11
             Step 2nd   25 + 11 = 36
             Step 3rd   Arrange it like this 36(11)2 → 36(121) →     3 (6+1) 21 →3721
Get the required answer 612 = 3721

622 →   Step 1st    62 – 50 = 12
             Step 2nd   25 + 12 = 37
             Step 3rd   Arrange it like this 37(12)2 → 37(144) →     3 (7+1) 44 →3844
Get the required answer 622 = 3844

632 →   Step 1st    63 – 50 = 13
             Step 2nd   25 + 13 = 38
             Step 3rd   Arrange it like this 38(13)2 → 38(169) →     3 (8+1) 69 →3969
Get the required answer 632 = 3969

642 →   Step 1st    64 – 50 = 14
             Step 2nd   25 + 14 = 39
             Step 3rd   Arrange it like this 39(14)2 → 39(196) →   (39+1) 96 →4096
Get the required answer 642 = 4096

To be continued like this upto 51 only (this trick is valid for 51 to 74 only.)

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