A garden centre sells patches of super grass that double in size every day.

Geraldine the Gardener calculates that it will take 10 days for the super grass to cover her lawn, but she needs it done faster, so she buys two patches. How many days will it take for two patches to cover the lawn?

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There are three safes with three different quantities of cash inside them, but you have no idea how much any of them are. When you open a safe you either take what is there or pass. If you take it you can’t choose another. If you pass you can’t go back to it. Can you improve your odds of the biggest payout to higher than 1/3?

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Twin brothers are going to their grandmother’s house. Albert runs for half of the distance & walks the rest of the way. Billy runs for half of the time & walks the rest of the way.

If their running & walking paces are the same as each other, who arrives first.

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A bag contains one red ball & nine black balls. Ten people draw one ball at a time, and the one who pulls the red ball gets $1 million. Where are you best off going? (Once removed, balls are not replaced.)

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There is a house where people use the toilet 4 times daily, three times for number ones, and once for number twos. The house rule is you’re meant to leave the toilet seat in the state the next user is most likely to want it. There are five men & two women in the house. Mathematically speaking, should the seat be left up or down?

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If you flip two coins, what is the chance of getting two heads?

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In 1986 a group of 4,000 physicists met stayed at the MGM Grand in Las Vegas for a conference. The hotel asked them not to come back. Why?

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Peter the Piemaker is having people over and knows there will either be 7 or 8 people in attendance.

What is the fewest number of slices he needs to make sure everyone gets an equal amount of pie, regardless of whether there is 7 or 8 people there?

(The slices DON’T need to be the same size, as long as everyone gets the same amount of pie.)

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A newspaper is printed on several sheets of paper and then folded down the middle.  Each sheet of paper therefore contains four pages.

Your newspaper has 28 as the back page, but you notice that a sheet is missing.  One of the missing pages is 8.  What are the other three missing pages?

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