At a garden shop they’re selling Magic Grass, a patch of sod that doubles in size every day. A man goes to buy some and figures that his garden is big enough that if he buys one patch, it will cover his garden in 14 days, because each day it doubles in size. So he decides to speed up the process, and buys two patches of sods.

How many days will it now take for the Magic Grass to cover his garden?

7 people had the following conversation.

A: The day after tomorrow is Wednesday.
B: No, today is Wednesday.
C: Both of you are wrong, Wednesday is tomorrow.
D: Today is neither Monday, nor Tuesday, nor Wednesday.
E: I am pretty sure that Thursday was yesterday.
F: No, yesterday was Tuesday.
G: All I know, is yesterday wasn’t Saturday.

Only one of them is telling the truth. On which day did the argument took place?

There are 25 horses and you need to figure out the 3 fastest horses by placing them into races. You can race 5 horses at a time. Each horse always finishes the race in the same amount of time and there are no ties. The only information you get from each race is the order that the 5 horses finished in. You will not get any information regarding the time taken for the horses to complete the race.

What is the smallest number of races you need to find the 3 fastest horses in order?