Puzzles- contd

[GP]

Unlink 4 & 6, link it to 3 & 7,
Unlink 10 & 12, link it to 9 & 13

8 operations

[GP]

Here is one for you:

What is special about the number 81, apart from being the square of 9 ?

Rajraj, seems like your question cannot be answered without Google or Wiki's help... Any clues please? Or else you will get all sorts of imaginative answers :P

Rajraj, seems like your question cannot be answered with Google or Wiki's help... Any clues please? Or else you will get all sorts of imaginative answers :P

[Benny Lava]

Still it can be reduced GP.. our craftsman is a real miser! :P

[rajraj]

OOO OOO OOO OOO OOO

ooo ooo ooo ooo c c c


ooo ooo ooo ooo
---c---c---c

ooooooooooooooo



6 !

[Benny Lava]

OOO OOO OOO OOO OOO

ooo ooo ooo ooo o o o


ooo ooo ooo ooo
---o---o ---o

ooooooooooooooo


6 !

Again, you presented the solution very elegantly Rajraj sir..

P.S: Quote panradhukula count onnu yeriduchu? :P

[rajraj]

Here is one for you:

What is special about the number 81, apart from being the square of 9 ?

Rajraj, seems like your question cannot be answered without Google or Wiki's help... Any clues please? Or else you will get all sorts of imaginative answers :P

Try to express 81, a square, as sum of squares and try to express a few other squares as sum of squares !

[rajraj]

Again, you presented the solution very elegantly Rajraj sir..

Thanks ! Retire aanaal kooda vaathiyaar velai ennai vittu pogalai !

[Benny Lava]

Here is one for you:

What is special about the number 81, apart from being the square of 9 ?

Rajraj, seems like your question cannot be answered without Google or Wiki's help... Any clues please? Or else you will get all sorts of imaginative answers :P

Try to express 81, a square, as sum of squares and try to express a few other squares as sum of squares !

Rajraj, This is what I could randomly identify in the proximity of 9:

13^2 = 12^2 + 5^2
11^2 = 9^2 + 6^2 + 2^2
10^2 = 6^2 + 4^2
9^2 = 6^2 + 5^2 + 4^2 + 2^2
7^2 = 2^2 + 3^2 + 6^2
5^2 = 3^2 + 4^2

I am ignoring repeat square numbers (like 3^2 = 1^2 + 2^2 + 2^2) otherwise I think we can express a lot of other numbers as square of other numbers. But I am not able to see any pattern here

[NM]

My brain can only see this :
81 = the number whereby it is the square of sum of its digits? = (1+8)^2? can't be that simple, right?

[rajraj]

My brain can only see this :
81 = the number whereby it is the square of sum of its digits? = (1+8)^2? can't be that simple, right?

ammaa sonnapadi uLundhu saappittirukkaNum !


It is the only square of a square (4th power) that can be expressed as a sum of squares ! I think that was what the book I browsed said!

3^4 = 8^2 + 4^2 + 1^2


If I run across the book again I will verify !

May be somebody can write a script (program) to verify the assertion!

Benny Lava : Good job! You get an A !