Line 2: |
Line 2: |
| | | |
| <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. | |
| </code> | | </code> |
| | | |
Line 259: |
Line 257: |
| <code> | | <code> |
| 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 = 9216 | | Answer = 9216 |
| </code> | | </code> |
Line 280: |
Line 273: |
| <code> | | <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 = 10816 | | Answer = 10816 |
| </code> | | </code> |
Line 302: |
Line 289: |
| <code> | | <code> |
| 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 = 254016 | | Answer = 254016 |
| | | |