Summer of Code/Sanjay Kumar: Difference between revisions

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<code>
<code>
Challenge your friend to answer (999989)
Challenge your friend to answer (999989)^2
2
in 10 seconds ;)
in 10 seconds ;)


Its simply: Question - 11 | 000 | (11)
Its simply: Question - 11 | 000 | (11)^2 = 999978000121.
2 = 999978000121.
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Trick 02 : Square of numbers just below 100
Trick 02 : Square of numbers just below 100
Let us find (x)
Let us find (x)^2. X is just below 100.
2
. X is just below 100.
Step 01: Find the difference between 100 and this number.
Step 01: Find the difference between 100 and this number.
Step 02: Now, Subtract the difference from the number (x).
Step 02: Now, Subtract the difference from the number (x).
Step 03: Find x
Step 03: Find x^2
2
Answer = Step 02 | Step 03
Answer = Step 02 | Step 03
Example:
Example:
Question: (96)​
Question: (96)​^2
2
 
 
Step 01: Difference is 4 (100 - 96 = 4)
Step 01: Difference is 4 (100 - 96 = 4)
Step 02: 96 - 4 = 92 
Step 02: 96 - 4 = 92 
Step 03: (4)
Step 03: (4)^2 = 16 
2 = 16 
Answer = ​92​16 
Answer = ​92​16 
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<code> 
Trick 03 : Square of numbers just above 100
Trick 03 : Square of numbers just above 100
Let us find (Y)
Let us find (Y)^2. Y is just above 100.
2
. Y is just above 100.
Step 01: Find the difference between the number and 100.
Step 01: Find the difference between the number and 100.
Step 02: Now, Add the difference to the number (y).
Step 02: Now, Add the difference to the number (y).
Step 03: Find y
Step 03: Find y^2. Add
2
. Add
Answer = Step 02 | Step 03
Answer = Step 02 | Step 03
Example:
Example:
Question: (104)​
Question: (104)​^2
2
 
 
Step 01: Difference is 4 (104 - 100 = 4)
Step 01: Difference is 4 (104 - 100 = 4)
Step 02: 104 + 4 = 108 
Step 02: 104 + 4 = 108 
Step 03: (4)
Step 03: (4)^2 = 16 
2 = 16 
Answer = ​108​16 
Answer = ​108​16 
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Trick 04 : Square of any three digit ending with zero in between
Trick 04 : Square of any three digit ending with zero in between
Let us find (x0y)
Let us find (x0y)^2. Digits are referred from left to right.
2
Step 01: Square third digit (y)^2
. Digits are referred from left to right.
Step 01: Square third digit (y)
2
Step 02: Multiply x with y and double the answer ( x * y * 2 ). The answer is of two
Step 02: Multiply x with y and double the answer ( x * y * 2 ). The answer is of two
digits. Add zero in front, if it is in single digit.
digits. Add zero in front, if it is in single digit.
Step 03: Square first digit (x)
Step 03: Square first digit (x)^2
2
Answer = Step 03 | Step 02 | Step 01 = (x)^2 | ( x * y * 2 ) | (y)^2
Answer = Step 03 | Step 02 | Step 01 = (x)
2
| ( x * y * 2 ) | (y)
2
Example:
Example:
Question: (504)​
Question: (504)​^2
2
 
 
Step 01: (4)
Step 01: (4)^2 = 16 
2 = 16 
Step 02: 5 * 4 * 2 = 40 
Step 02: 5 * 4 * 2 = 40 
Step 03: (5)
Step 03: (5)^2 = 25 
2 = 25 
Answer = ​25​40​16 
Answer = ​25​40​16