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This person is short so he can't reach the 12th floor button. But when it rains, he reaches the button with his umbrella.

This picture shows an original type of desk calendar.
The numbers on the cubes' front sides are used to show the date. On each side of each of the two cubes, there is a number, from 0 to 9. By flipping the two cubes, you can make a combination of numbers to show any date from 01... to 31.
Which numbers are there on the cubes' hidden sides?

0,6,7 8 and 9

I don't think it's quite that simple TLD...

I'm afraid that's not the correct answer. I'd like to point out that you have to point out the hidden numbers on both the white cube and the black cube.

On the black cube, the numbers are 0,3,4,5,6,7,8 and 9. On the white cubes, the numbers are 0,1,2,6,7,8 and 9. EDIT: I think this is the correct one. 6,7,8 and 9.

On the Black cube are the numbers 0, 3 and 9
White has 6, 7 ,8
The Black cube has the numbers typically at the start of a date.

So far, I know for sure that each block has to have a 1 and a 2( for 11 and 22). Only one block needs a 3. Both will need 0(assuming single digit numbers are labeled as 01,02,03,etc.). So now you fill the rest of the numbers in as they don't matter which side they are on. But I made a graph to help out. It looked like this:

White Black
1 1
2 2
0 0
3 6
4 7
5 8

You might be wondering about the 9. The trick is turning the 6 upside down! Eureka! Go ahead and try it. Every date is present.
If you want to know what's missing just take away the numbers that were on the blocks from the list. Missing Black=0,6,7,8. Missing white=1,2,0. I pray to the nine divines that I'm right on this.

Ann, Lisa and George will go swimming.
If Larry went, Lisa can't go (Lisa won't go with Larry), nor can Ann (as then Lisa would go). You can't get three people with Larry.

I think it's George, Lisa and Ann:
1. Only three people can go swimming. - Got three
2. If George goes swimming, then one person cannot go swimming. - Larry
3. If Ann goes swimming, then Lisa will go swimming. - Lisa is swimming
4. If Lisa goes swimming, then Larry will not go swimming. - Larry is not swimming
5. If Larry goes swimming, then George will go swimming. - Larry is not swimming
6. If Ann goes swimming, then one person cannot go swimming. - Larry

It's Nick, Steve and Amanda. Everybody else was standing around arguing about who wouldn't go with who and those three slipped by them all.

You take a fruit from the box marked "Oranges and Pears". Since it is incorrectly marked, whichever fruit you pull out, that is the label that box gets. The other pure fruit labeled box is incorrect as well, so it must be the mixed fruit. You then apply the label from the real mixed box to the box you originally took the first label from.