Puzzle 229
A farmer buys chicken feed for 47c per tonne, pig feed for $1.23 per tonne and cattle feed for $1.44 per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
How much of each would they have if they bought 100 tonnes for $100?
Puzzle Copyright © Kevin Stone
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Hint
One of the answers is 28 tonnes.
Answer
38 tonnes of chicken feed, 34 tonnes of pig feed and 28 tonnes of cattle feed.
Puzzle 230
How many people must be at a party before you are likely to have two having the same birthday (but not necessarily the same year)?
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Answer
23.
Reasoning
By likely, we mean greater than 50% chance.
With one person there is a 0 percent chance that you'll have two people with the same birthday.
With two people the probability that they won't share a birthday is 364 / 365. The probability that they will share a birthday is therefore 1 - (364 / 365).
With three people the probability that they won't share a birthday is the same as for two people, times 363 / 365. So the probability that three people will share a birthday is 1 - (364 / 365) x (363 / 365).
Notice that with each additional person added, the probability that they shares a birthday with one of the previous persons goes up, because there are fewer "free" days remaining.
We keep adding people until the %age is greater than 50%.
When we have 23 people the %age is 50.729%.
Puzzle 231
Start in square 'S' and end in square 'E' moving either horizontally or vertically in each move. Start by moving 2 squares in each of your moves, but when you land on a '*' square, change the number of squares you move from 2 to 3, or vice versa. You can not step on or pass through the black squares and you have only 8 moves in which to complete this task.
Puzzle Copyright © Cihan Altay
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Answer
Puzzle 232
What common animal comes next in this sequence:
eel cat lion ibex panda squirrel {?}
Puzzle Copyright © Kevin Stone
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Hint
Look at the initial letters.
Answer
Elephant.
The initial letters form the word ECLIPSE, so any animal beginning with E will work.
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