pieni älykkyystesti - a small intelligence test

[kalmisto]

Kirjoita 13 niin,että siinä on 4 ykköstä !

kirjoittaa = to write
niin,että = in such a way that
siinä on = in it there is/are
ykkönen = number 1

[Rob A.]

Kirjoita 13 niin,että siinä on 4 ykköstä !

kirjoittaa = to write
niin,että = in such a way that
siinä on = in it there is/are
ykkönen = number 1

Hmmmm...at first I thought it was a trick question ... But the closest I could come was "1101", but there is still a "0" there. Then there is "XIII" , but four "1's"....I don't know , I can't think of any other numbering conventions..

[AldenG]

Hmmmm...at first I thought it was a trick question ... But the closest I could come was "1101", but there is still a "0" there. Then there is "XIII" , but four "1's"....I don't know , I can't think of any other numbering conventions..

Well, binary is about special knowledge rather than intelligence. But you didn't exhaust your options:

1010 + 0011

or

1010
0011

These things usually turn on invalid assumptions, such as the idea that you can't use a + sign.

[Rob A.]

....or simply 11 +1 +1...but that seems too obvious to be an "intelligence test"....

[jahasjahas]

If you're allowed to rotate your ones:

Code: Select all

|   \  
|    \
|  ---
|    /
|   /

[Rob A.]

If you're allowed to rotate your ones:

Code: Select all

|   \  
|    \
|  ---
|    /
|   /

Now that definitely shows intelligence....thinking outside the box.... I thought Finns weren't allowed to do that... a cultural prohibition, so to speak....

[AldenG]

....or simply 11 +1 +1...but that seems too obvious to be an "intelligence test"....

Then again, it's more in the usual spirit of these riddles because anybody can do it.

Funny I thought of the binary but not the ordinary.

I'm guessing you found the intended answer.

[kalmisto]

....or simply 11 +1 +1...but that seems too obvious to be an "intelligence test"....

That was the correct answer. Congratulations !

[kalmisto]

....or simply 11 +1 +1...but that seems too obvious to be an "intelligence test"....

If you think that it was a little too easy here is something more difficult :

Etsi luku,joka on 11 kertaa niin suuri kuin saman luvun numeroiden summa !
( Find a number that is 11 times as big as the sum of its digits ! )

[jahasjahas]

Etsi luku,joka on 11 kertaa niin suuri kuin saman luvun numeroiden summa !
( Find a number that is 11 times as big as the sum of its digits ! )

Spoiler:
10x+y = 11(x+y)
Now you take it home, solve it, plot it, see the only non-negative values of x and y, throw it in a pot, add some broth, a potato. Baby, you've got a stew going.

[Rob A.]

....or simply 11 +1 +1...but that seems too obvious to be an "intelligence test"....

If you think that it was a little too easy here is something more difficult :

Etsi luku,joka on 11 kertaa niin suuri kuin saman luvun numeroiden summa !
( Find a number that is 11 times as big as the sum of its digits ! )

Well....I can't see it. I don't seem to have the kind of mind that looks for obvious solutions...I'm thinking about quadratic equations.....

[AldenG]

....or simply 11 +1 +1...but that seems too obvious to be an "intelligence test"....

If you think that it was a little too easy here is something more difficult :

Etsi luku,joka on 11 kertaa niin suuri kuin saman luvun numeroiden summa !
( Find a number that is 11 times as big as the sum of its digits ! )

Well....I can't see it. I don't seem to have the kind of mind that looks for obvious solutions...I'm thinking about quadratic equations.....

That one wasn't too hard because there aren't that many numbers divisible by 11. Plus intuition tells you it has to be within a certain range because of how sums and products grow differently. And as you look at likely options there's a quick convergence toward the solution.

I'd say be less formal and try accessing the non-scientist within you.

[AldenG]

I do begin to wonder, though, could there actually be more than one solution? Mine is the lowest possible solution.

On EDIT:

Wait, duh! Mine is the SECOND lowest possible solution.

Great little equation from jahasjahas, though. It didn't jump out at me that the problem was amenable to algebraic solution because I didn't consider splitting out the digits in that fashion.

[jahasjahas]

I never knew algebra and equations could be so useful in a language school!

[AldenG]

I never knew algebra and equations could be so useful in a language school!

Still, you were missing a variable...