Puzzle 577
What are the next two numbers in this sequence:
14 91 62 53 64 96 ? ?
Puzzle Copyright © Kevin Stone
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Hint
Try removing the spaces between the numbers.
Answer
48 and 11.
Reasoning
These are the squares of numbers without the correct spacing.
1 4 9 16 25 36 49 64 81 100
with no spaces becomes:
149162536496481100
broken into blocks of two:
14 91 62 53 64 96 48 11 00
So the next two in the sequence are 48 and 11.
Puzzle 578
Last week I spent half of my money on a new jacket, and then I spent half of that amount on some new trousers.
I was left with £32.94. How much did I spend?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
£98.82.
Reasoning
At the end I was left with £32.94, which was half of my remaining money, so before buying the trousers I must have had £65.88.
Again, this was half of my money, so before buying the jacket I must have had £131.76 at the start.
As I now had £32.94 remaining, I must have spent £98.82.
Double-Checking
I started with £131.76, and I spent £65.88 on a new jacket, and then £32.94 on the trousers, a total spend of £98.82.
Puzzle 579
What comes next in this sequence:
Puzzle Copyright © Kevin Stone
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Answer
Reasoning
Each letter appears as many times as there are straight lines in that letter.
The letter H has three straight lines, so three H's are shown.
Puzzle 580
Which is heaviest …
a pound of feathers
a pound of wood
a pound of steel
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Hint
Imagine a set of scales.
Answer
They are all the same!
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