Sven's Official BrainTeaser Thread !! and Sander.

[Mike]

4 and 6 is false.

I'll post the answer tomorrow if no one begs to differ.

[Mike]

No one did beg to differ. Hold on folks, here come the solution:

The different sums:

2=1+1

3=2+1

4=3+1=2+2

5=4+1=3+2

6=5+1=4+2=3+3

7=6+1=5+2=4+3

8=7+1=6+2=5+3=4+4

9=8+1=7+2=6+3=5+4

10=9+1=8+2=7+3=6+4=5+5

11=10+1=9+2=8+3=7+4=6+5

The correspondning products:
1

2

3, 4

4, 6

5, 8, 9

6, 10, 12

7, 12, 15, 16

8, 14, 18, 20

9, 16, 21, 24, 25

10, 18, 24, 28, 30 

The products 1, 2, 3, 5, 7, 14, 15, 20, 21, 25, 28 and 30 can only be achieved in one way, and then matte would know what the numbers are. So these can be taken away. And since Besmira was sure that matte wouldn't know, the sums that belong to these products can be extracted.
Leaving us with:

5=4+1=3+2

7=6+1=5+2=4+3

with corresponding products:

4, 6

6, 10, 12

Since mattes states he knows what the numbers are now, it can't be 6, since it can be achieved in two ways, and then he wouldn't be sure which the numbers are. So it's not 3 + 2, or 6+1.
5 = 4 + 1
7 = 5 + 2, 4 + 3

are the ones left, and since besmira states she knows what the numbers when matte knows, the sum can't be 7, since it can be achieved in two ways.

Numbers must be 4 and 1.

Feel free to question or ask something.

[Mike]

New teaser.

A frying pan can fry 4 eggs at the same time. You fry an egg 1 minute on each side.
In a restaurant 6 eggs are ordered at the same time. The cook fried the 6 eggs in a total time of 3 minutes. How did he fry the eggs?

[SvenF]

New teaser.

A frying pan can fry 4 eggs at the same time. You fry an egg 1 minute on each side.
In a restaurant 6 eggs are ordered at the same time. The cook fried the 6 eggs in a total time of 3 minutes. How did he fry the eggs?

At first I was a little confused lol. I give each egg a number. First egg = egg 1, second egg = egg 2 etc.
1st min: He fries the first side of the eggs 1,2,3,4.
2nd min: He fries the second side of egg 1,2. He begins to fry the first side of the eggs 5,6.
So far: Egg 1,2 are finished. Egg 3,4,5,6 have been cooked on their first side.
3rd min: He fries the second side of the eggs 3,4,5,6. And voilà, here we go.

[KellerFS]

New teaser.

A frying pan can fry 4 eggs at the same time. You fry an egg 1 minute on each side.
In a restaurant 6 eggs are ordered at the same time. The cook fried the 6 eggs in a total time of 3 minutes. How did he fry the eggs?

At first I was a little confused lol. I give each egg a number. First egg = egg 1, second egg = egg 2 etc.
1st min: He fries the first side of the eggs 1,2,3,4.
2nd min: He fries the second side of egg 1,2. He begins to fry the first side of the eggs 5,6.
So far: Egg 1,2 are finished. Egg 3,4,5,6 have been cooked on their first side.
3rd min: He fries the second side of the eggs 3,4,5,6. And voilà, here we go.

true that.

[VG]

OK here's a fun one might be slightly tricky

I have written down three 3-figure numbers which, overall, use no digit more than once. One of the numbers is a perfect square and the two other numbers are primes. Their total is 2009
With a little logic it is possible to calculate the three numbers very quickly, What are they?

[Mike]

By 3-figure number you mean..? and do you mean that the sum of the primes + the perfect square is 2009?

and oh, nice job there, RoySv! :cheers:

[Sander]

i have a question about mike's first riddle with the numbers
you take away numbers that can be achieved with only one product, and then you say:
Leaving us with:

5=4+1=3+2

7=6+1=5+2=4+3

but 24 can also be made with more solutions. so my 4 and 6 is still correct??

[SvenF]

No one did beg to differ. Hold on folks, here come the solution:

The different sums:

2=1+1

3=2+1

4=3+1=2+2

5=4+1=3+2

6=5+1=4+2=3+3

7=6+1=5+2=4+3

8=7+1=6+2=5+3=4+4

9=8+1=7+2=6+3=5+4

10=9+1=8+2=7+3=6+4=5+5

11=10+1=9+2=8+3=7+4=6+5

The correspondning products:
1

2

3, 4

4, 6

5, 8, 9

6, 10, 12

7, 12, 15, 16

8, 14, 18, 20

9, 16, 21, 24, 25

10, 18, 24, 28, 30 

The products 1, 2, 3, 5, 7, 14, 15, 20, 21, 25, 28 and 30 can only be achieved in one way, and then matte would know what the numbers are. So these can be taken away. And since Besmira was sure that matte wouldn't know, the sums that belong to these products can be extracted.
Leaving us with:

5=4+1=3+2

7=6+1=5+2=4+3

with corresponding products:

4, 6

6, 10, 12

Since mattes states he knows what the numbers are now, it can't be 6, since it can be achieved in two ways, and then he wouldn't be sure which the numbers are. So it's not 3 + 2, or 6+1.
5 = 4 + 1
7 = 5 + 2, 4 + 3

are the ones left, and since besmira states she knows what the numbers when matte knows, the sum can't be 7, since it can be achieved in two ways.

Numbers must be 4 and 1.

Feel free to question or ask something.

Actually this was funny, because I would never have got this even if I'd have tried for days. Good one Mike.

[VG]

Yes sum of primes + perfect square is 2009

[Mike]

i have a question about mike's first riddle with the numbers
you take away numbers that can be achieved with only one product, and then you say:
Leaving us with:

5=4+1=3+2

7=6+1=5+2=4+3

but 24 can also be made with more solutions. so my 4 and 6 is still correct??

Besmira knew that matte wouldn't know the numbers. So if she had been told the sum 10 (6+4), then she wouldn't be sure that matte didn't know the numbers. Why?

10=9+1=8+2=7+3=6+4=5+5

The products 21 and 25 are numbers you can only achieve in one way. So if besmira had been told the sum 10, then matte could have been told either one of 9*1, 8*2, 7*3, 6*4, 5*5, making Besmira unable to know if Matte has no clue of the numbers or not.

VG; what's a 3-figure number?

[VG]

a number in the hundreds i.e greater or equal to 100 but lower than 1000 (but it can't be 100 since all the individual numbers themsleves are different )