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Puzzle 741
Can you highlight exactly three numbers that add to 19?
Note: this puzzle is not interactive, and the numbers cannot be clicked.
The puzzle didn't ask for three digits to be highlighted!
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Puzzle 742
In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains ? X. Slightly trickier, this sentence contains ? R's. Even trickier, this sentence contains precisely ? E's. This sentence has exactly ? letters. This sentence, hopefully, contains ? letters, one hyphen, five commas, and four Y's. To finish, if this sentence had a T removed, it would contain ? letters!
Hint
Start by counting the letters you're already given.
Answers This sentence contains one X.Slightly trickier, this sentence contains four R's.Even trickier, this sentence contains precisely ten E's.This sentence has exactly thirty-nine letters.This sentence, hopefully, contains seventy-five letters, one hyphen, five commas, and four Y's.To finish, if this sentence had a T removed, it would contain sixty-two letters!
Reasoning
Each term increases by the number of letters in the previous term (ignoring any hyphens).
1 + length("ONE") = 4
4 + length("FOUR") = 8
8 + length("EIGHT") = 13
13 + length("THIRTEEN") = 21
21 + length("TWENTYONE") = 30
30 + length("THIRTY") = 36
36 + length("THIRTYSIX") = 45
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Puzzle 744
The local CD shop operates an unusual discount policy. The discount on the next purchase is worked out on the current purchase in the following way: for every whole pound spent you get 0.5% discount on the next purchase. For example, if you purchased £8.99 on the first purchase, you would then get a 4% discount on the next purchase and so on. You can make as many purchases as necessary.
You need to buy 7 CDs, costing, £11.50, £12.00, £12.00, £12.50, £13.00, £13.00 and £14.50. What is the cheapest method of buying them?
Answer
Purchase 1: £11.50, £12.00, £12.00, £12.50 = £48.00 (which gives a 24% discount on the next purchase). Purchase 2: £13.00, £13.00, £14.50 = £40.50 minus 24% discount = £30.78. For a total cost of £78.78.