Brain Teaser

Brain Teaser

It is said that Engineers take <2 minutes to solve this,
Architects 3 hours,
Doctors 6 hours,
Supervisors/Managers 10 hours,
the rest have to ask someone.

Which is the 6th number?
1, 2, 6, 42, 1806, ___???
 

Dave Bilyk

Dave Bilyk
Supporter
3263442 ?
took me 1 min, but then 2min to find calculator to work out the final answer. So I reckon I must be an engineer as I can never find the tool I want!

Try this;
62 - 63 = 1
clearly this is wrong.
Make it right by moving one digit to somewhere else in the equation.

Dave
 

Doc Watson

Lifetime Supporter
yes...

3263442

(n-1) +1 x (n-1) to get n

1, 2, 6, 42, 1806

( 1+1) x 1 = 2
( 2+1) x 2 = 6
( 6+1) x 6 = 42
(42+1) x 42 =1806
(1806+1) x 1806 =3263442

1 minute to work out 5 minutes to write this... ;-)
 
Try this;
62 - 63 = 1
clearly this is wrong.
Make it right by moving one digit to somewhere else in the equation.

AH! I see two possible answers to this one. One involves moving a number and the other a line. clever.
 
3263442 ?
took me 1 min, but then 2min to find calculator to work out the final answer. So I reckon I must be an engineer as I can never find the tool I want!

Try this;
62 - 63 = 1
clearly this is wrong.
Make it right by moving one digit to somewhere else in the equation.

Dave

I got the formula for it in less than a minute, but like you, took a little time to
actually work out the math.

For yours - 6^2 - 63 = 1 (just move the "2" into a superscript, not add the caret).

I guess this is when I pitch that using your fingers, you can count to 1023. Just be
careful when you hit 4.

Ian
 

Dave Bilyk

Dave Bilyk
Supporter
Ian K,
I think your 6^2 was a slip of the keyboard, and you got it right anyway, the answer is 2^6 (two to the power of 6) - 63 = 1

Dave
 
For the first one I must be a natural engineer as I saw it as soon as I looked at it. The math answer took about 30 seconds in my head. Man, you mean I have been in the wrong profession all these years????
The second I have seen before.

Bill
 
Shouldn't you be able to count to 1024 on your hands? 11111 11111 is 1024. It's just kind of hard to distinguish between 2,4,8,16, etc....
 

Dave Bilyk

Dave Bilyk
Supporter
Bill,
if you mean that you can do 1806^2 in your head in a few seconds, I think that's pretty exceptional.:thumbsup:
I could manage the 42^2 in my head, but not the 1806^2:embarassed:

regards
Dave
 
Shouldn't you be able to count to 1024 on your hands? 11111 11111 is 1024. It's just kind of hard to distinguish between 2,4,8,16, etc....

Sorry - I guess I should have correctly explained why:

The first digit is 2^0 in binary (0 or 1), so the correct sequence is 1, 2, 4, 8 ...
or 2^0, 2^1, 2^2, 2^3 ... up to 2^9. So, the total is the last finger (512 or 2^9) plus
all of the rest (511 or (2^9)-1).

Ian
 
Paolo - Se lei guarda i numeri lei vedrà che il prossimo numero è il prodotto del munber precedente ha moltiplicato da solo ed aggiungendo poi sé a quella somma. L'equazione sarebbe come segue:
b= (a X a) + a, c= (b X b) + b...... A.J.
 
Last edited:
Ian - I guess I was using the "digits" of my hand differently. You'd have to completely raise a finger for a 1, and halfway to represent a 0 which is kind of difficult to do.
 
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