10ticks Friday Puzzle

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Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!

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This week's Friday Puzzle

What is the four digit number, with no zeros, in which

the second digit is four more than the first and three times the third,

the third is two more than the last and two less than the first

and the first digit is five times the last?

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Friday Puzzle (19/02/2021)

A goat takes 4 minutes to eat a lettuce. A rabbit takes 5 minutes and a mouse takes 8 minutes to eat the same sized lettuce.

If a single lettuce were thrown to all three animals and they ate together (without eating each other), how long would it take between them to eat the lettuce?

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Friday Puzzle (12/02/2021)

1233 = 122 + 332

There is one other 4-digit number that does this.

It also ends in 33.

Find this 4-digit number.

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Friday Puzzle (05/02/2021)

Which numbers, less than 100, are the product of exactly three different prime factors?

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Friday Puzzle (29/01/2021)

I have a tin of beans worth £10 and another tin of beans worth £5.

How much of each would of each would I need to mix a tin of beans worth £8.

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Friday Puzzle (22/01/2021)

Exactly how many minutes is it before six o’clock if, 50 minutes ago, it was four times as many minutes past three o’clock?

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Friday Puzzle (15/01/2021)

Edward and his sister Alex were born on the same date, but in different years.

Edward noticed that two years ago he was three times as old as Alex.

Alex noticed that in two years time she will be half Edwards age.

How old are they now?

When was Alex a fifth of Edwards age?

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Friday Puzzle (08/01/2021)

You have 9 footballs and one weighing balance.

One of the footballs is heavier than the other 8 footballs, which are all equal in weight.

What is the least number of weighings needed, to be certain to find the heaviest football?

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Friday Puzzle (18/12/2020)

In the song, The Twelve Days of Christmas, if the first swan swam 8 km and then each of the swans after swam double the amount of the one before, how far would the swans have swum altogether in metres?

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Friday Puzzle (11/12/2020)

Two cubes of different sizes both have lengths an exact whole number of centimetres.

The total of the two volumes of the cubes is equal to the total of all their edge lengths.

What is the total volume of the two cubes?

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