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Puzzle 257
Which letter completes this sequence:
T A O T B I E S O T R H N E O Q T U T E O S B T E I T O H ?
Reasoning
Starting with the first letter and taking every other letter gives: TO BE OR NOT TO BE TH
Starting with the second letter and taking every other letter gives: AT IS THE QUESTIO
Combining gives: TO BE OR NOT TO BE THAT IS THE QUESTIO – and the last letter of QUESTION is missing.
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Puzzle 258
At my local farmer's merchant, you can buy chicken feed for £4 per tonne, pig feed for £3 per tonne, and cattle feed for 40p per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
Last week I bought some animal feed, and luckily I managed to buy exactly 100 tonnes for exactly £100. How much of each feed did I buy?
Hint
What must the number of tonnes of cattle feed be a multiple of?
Answer
I bought 8 tonnes of chicken feed, 12 tonnes of pig feed, and 80 tonnes of cattle feed.
Reasoning
The number of tonnes of cattle feed must be a multiple of 5, because we need to have a whole number of pounds (5 x 0.40).
If all 100 tonnes was cattle feed, the cost would have been £40, which isn't enough.
If 95 tonnes was cattle feed the cost would have been £38, and the remaining 5 tonnes of (the most expensive) chicken feed at £20, gives a total of £58, which isn't enough.
If 90 tonnes was cattle feed the cost would have been £36, and the remaining 10 tonnes of (the most expensive) chicken feed at £40, gives a total of £76, which isn't enough.
If 85 tonnes was cattle feed the cost would have been £34, and the remaining 15 tonnes of (the most expensive) chicken feed at £60, gives a total of £94, which isn't enough.
If 80 tonnes was cattle feed the cost would have been £32, and the remaining 20 tonnes of (the most expensive) chicken feed at £80, gives a total of £112. So, this might be a possible answer …
We need 20 tonnes of chicken feed and pig feed to equal £68, so let's reduce the chicken feed until it works.
Hint
This question involves the months of the year in some way.
Answer
4 3 1.
Reasoning
This is the sequence of the length of the name of the month, and the number of days in that month.
7 3 1 = January, which has 7 letters, and 31 days.
8 2 8 = February, which has 8 letters, and 28 days.
5 3 1 = March, which has 5 letters, and 31 days.
5 3 0 = April, which has 5 letters, and 30 days.
3 3 1 = May, which has 3 letters, and 31 days.
4 3 0 = June, which has 4 letters, and 30 days.
Which means the next three digits are:
4 3 1 = July, which has 4 letters, and 31 days.
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It is now three years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
