Rangarajan
(CA Student)
(200 Points)
Replied 10 September 2008
Hey that’s a cool trick u got there.
Do anyone know the basis of such a trick.
It is very simple. It is law of Association.
I will illustrate it.
Take for instance this. Pick a number, add 2, multiply by 4, subtract 8, divide by 4. You get the number you started with
Take any number. Say X
Add 2 to it, v get X + 2. Multiply by 4. v get (X+2)*4. the result is 4X+8. now subtract 8. v get 4X. then divide by 4. v get X.
What happens is that, in the above example v perform 2 actions first and the rest 2 actions are performed to nullify the effect of the first 2 actions. First v add 2 and then multiply by 4. It is same as multiply the original number by 4 and adding 8. At the end v subtract 8 to cancel the effect.
The same can be noted with the above mention cell number trick.
The steps can be easily understood
1.Take first 6 numbers of any cell number
2.Multiply with 80
3.Add 1 to it
4.Multiply with 250
5.Add the last 4 digits of ur number
6.Again add the last 4 digits ur number
7.Subtract 250
8.Divide by two
The answer is always ur cell number.
Here, law of association begins in the step 3 and ends in step 7. Say the result of step 2 is X. performing step 3, v get X+1. Performing step 4, v get (X+1)*250, that is (X*250+250). Assuming “y” is to be the last 4 digits. Performing step 5 and 6, v get (x*250+250+2y). now performing step 7, v get (x*250+2y). It is like the step 3 and 7 are nullifying each other.
So, v can safely remove both, step 3 and 7. So v get
1.Take first 6 numbers of any cell number
2.Multiply with 80
3.Multiply with 250
4.Add the last 4 digits of ur number
5.Again add the last 4 digits ur number
6.Divide by two
The result will still be the same.
Now combine step 1 and 2, instead of multiplying with 80 and then by 250, v can directly multiply by 20000.
The net effect is that the six digit number is multiplied by 2 and then moved to the right by 4 digits.
Now v add twice the last 4 digits. Why twice the last 4 digits? It can be only once also, if the 6 digits are multiplied with a net effect of 10000. But it is not so. It is multiplied by twice of 10000. This twice is again removed altogether in step 6.
That is u can safely remove the last step 6. U will get
1.Take first 6 numbers of any cell number
2.Multiply with 10000
3.Add the last 4 digits of ur number
In these three steps, whatever 10 digit number u take, u get the same number. This is the basis of the trick.
It is one of the oldest trick in the oldest book.
Regards
Rangarajan.K
Aspirant
(Audit Assistant)
(56 Points)
Replied 10 September 2008
Hey that’s a cool trick u got there.
Do anyone know the basis of such a trick.
It is very simple. It is law of Association.
I will illustrate it.
Take for instance this. Pick a number, add 2, multiply by 4, subtract 8, divide by 4. You get the number you started with
Take any number. Say X
Add 2 to it, v get X + 2. Multiply by 4. v get (X+2)*4. the result is 4X+8. now subtract 8. v get 4X. then divide by 4. v get X.
What happens is that, in the above example v perform 2 actions first and the rest 2 actions are performed to nullify the effect of the first 2 actions. First v add 2 and then multiply by 4. It is same as multiply the original number by 4 and adding 8. At the end v subtract 8 to cancel the effect.
The same can be noted with the above mention cell number trick.
The steps can be easily understood
1. Take first 6 numbers of any cell number
2. Multiply with 80
3. Add 1 to it
4. Multiply with 250
5. Add the last 4 digits of ur number
6. Again add the last 4 digits ur number
7. Subtract 250
8. Divide by two
The answer is always ur cell number.
Here, law of association begins in the step 3 and ends in step 7. Say the result of step 2 is X. performing step 3, v get X+1. Performing step 4, v get (X+1)*250, that is (X*250+250). Assuming “y” is to be the last 4 digits. Performing step 5 and 6, v get (x*250+250+2y). now performing step 7, v get (x*250+2y). It is like the step 3 and 7 are nullifying each other.
So, v can safely remove both, step 3 and 7. So v get
1. Take first 6 numbers of any cell number
2. Multiply with 80
3. Multiply with 250
4. Add the last 4 digits of ur number
5. Again add the last 4 digits ur number
6. Divide by two
The result will still be the same.
Now combine step 1 and 2, instead of multiplying with 80 and then by 250, v can directly multiply by 20000.
The net effect is that the six digit number is multiplied by 2 and then moved to the right by 4 digits.
Now v add twice the last 4 digits. Why twice the last 4 digits? It can be only once also, if the 6 digits are multiplied with a net effect of 10000. But it is not so. It is multiplied by twice of 10000. This twice is again removed altogether in step 6.
That is u can safely remove the last step 6. U will get
1. Take first 6 numbers of any cell number
2. Multiply with 10000
3. Add the last 4 digits of ur number
In these three steps, whatever 10 digit number u take, u get the same number. This is the basis of the trick.
It is one of the oldest trick in the oldest book.
Regards
Rangarajan.K
"
mahesh
(Tax Consultant)
(78 Points)
Replied 10 September 2008