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(#M40009255) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

How can you measure out exactly 4 litres of water from a tap using a 3 litre and a 5 litre bucket?

Flower (13 years ago)
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(#M40009253) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

3 missionaries and 3 obediant but hungry cannibals have to cross a river using a 2-man rowing boat. If on either bank cannibals outnumber missionaries the missionaries will be eaten. How can everyone cross safely?

Flower (13 years ago)
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(#M40009244) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

Pick 3 digits (not zero) and make 6 2-digit numbers from them. Add up all these numbers, add up all the original digits and divide the first total by the second.

Flower (13 years ago)
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(#M40009243) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

f D = the day (1-366) in year Y, then the day of the week can be calculated using

d = D+Y+(Y-1)/4 - (Y-1)/100 + (Y-1)/400 mod7

Flower (13 years ago)
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(#M40009242) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

Apples are packed in boxes of 8 and 15. What is the biggest number of apples that would require loose apples?
A country only has 5p and 7p coins. Make a list of prices that you could give exact money for. What is the highest prices that you couldn't give exact money for?

Flower (13 years ago)
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(#M40009241) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

Starting with 1, place each integer in one of 2 groups so that neither contains a 3 term Arithmetic Progression. How far can you go?

Flower (13 years ago)
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(#M40009235) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

Make fractions (each using all the digits from 1 to 9) with these values 1/2, 1/3....1/9

Flower (13 years ago)
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(#M40009216) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

Real jelly babies have a mass of 10 grams, while imitation jelly babies have a mass of 9 grams.

Spike has 7 cartons of jelly babies, 4 of which contain real jelly babies, the others imitation.

Using a scale only once (and minimum disturbace of the boxes contents!), how can Spike determine which cartons contain real jelly babies?

Flower (13 years ago)
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(#M40009215) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

You have eight bags, each of them containing 48 coins.

Five of these bags contain only true coins, the rest of them contain fake coins.

Fake coins weigh 1 gram less than the real coins. You do not know what bags have fake coins and what bags have real coins. You can use a scale with precision up to 1 gram. Making only one weighing and using the minimum number of coins, how can you find the bags containing the fake coins?

Flower (13 years ago)
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(#M40009213) SELF QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

You have 10 bags full of coins, in each bag are 1,000 coins.

But one bag is full of forgeries, and you can't remember which one.

But you do know that a genuine coins weigh 1 gram, but forgeries weigh 1.1 grams.

To hide the fact that you can't remember which bag contains forgeries, you plan to go just once to the central weighing machine to get ONE ACCURATE weight.

How can you identify the bag with the forgeries with just one weighing?

And what if you didn't know how many bags contain forgeries?

Flower (13 years ago)
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Maths Quotes

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.

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The only world in this universe is 'MATHEMATICS'.

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