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# Interesting Math Puzzles #1 - Maths Magic Riddle

Difficulty Popularity

I can prove why 1 = 2

Step1. Lets say y = x
Step2. Multiply through by x xy = x2
Step3. Subtract y2 from each side xy - y2 = x2 - y2
Step4. Factor each side y(x-y) = (x+y)(x-y)
Step5. Divide both sides by (x-y) y = x+y
Step6. Divide both sides by y y/y = x/y + y/y
Step7. And so... 1 = x/y + 1
Step8. Since x=y, x/y = 1 1 = 1 + 1
Step9. And so... 1 = 2

How is this possible ?

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# Interesting Math Puzzles #2 - Live Or Die Probability Puzzle

Difficulty Popularity

Hussey has been caught stealing goats, and is brought into court for justice.

The judge is his ex-wife Amy Hussey, who wants to show him some sympathy, but the law clearly calls for two shots to be taken at Hussey from close range.

To make things a little better for Hussey, Amy Hussey tells him she will place two bullets into a six-chambered revolver in successive order.

She will spin the chamber, close it, and take one shot.

If Hussey is still alive, she will then either take another shot, or spin the chamber again before shooting.

Hussey is a bit incredulous that his own ex-wife would carry out the punishment, and a bit sad that she was always such a rule follower.

He steels himself as Amy Hussey loads the chambers, spins the revolver, and pulls the trigger. Whew! It was blank. Then Amy Hussey asks, 'Do you want me to pull the trigger again, or should I spin the chamber a second time before pulling the trigger?'

What should Hussey choose?

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# Interesting Math Puzzles #3 - Logic Fruits Riddle

Difficulty Popularity

There is a box full of fruits,
all but two are grapes,
all but two are apples,
and all but two are oranges.

How many fruits are in the box ?

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# Interesting Math Puzzles #4 - Math School Riddle

Difficulty Popularity

Insect-A has 8 legs.
Insect-B has 6 legs and 2 pairs of wings.
Insect-C has 6 legs and one pair of wings.

We have got all three kinds of injects and total of 18 insects.
We have a total of 118 legs and 20 pairs of wings.

How many insects do we have of each kind ?

• Views : 30k+
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# Interesting Math Puzzles #5 - Find The Number Problem

Difficulty Popularity

I know a 5 digit number having a property that With a 1 after it, it is three times as large as it would be with a one before it.

Find the number ?

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# Interesting Math Puzzles #6 - Prime Number Riddle

Difficulty Popularity

Can you find four consecutive prime numbers that add up to 220 ?

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# Interesting Math Puzzles #7 - Divide Into Two parts Riddle

Difficulty Popularity

Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?

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# Interesting Math Puzzles #8 - Maths Number Problem

Difficulty Popularity

A number with an interesting property:

When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.

Can you find it?

• Views : 40k+
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# Interesting Math Puzzles #9 - Maths Pipe Time Brain Teaser

Difficulty Popularity

A large petrol tank has two inlet tubes (a large one and a small one) and one outlet tube. It takes 3 hours to fill the tank with the large inlet tube. On the other hand, it takes 6 hours to fill the tank with the small inlet tube. The outlet tube allows the full tank to be emptied in 9 hours.

What fraction of the tank (initially empty) will be filled in 0.64 hours if all three tubes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).

• Views : 30k+
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# Interesting Math Puzzles #10 - Beggars Cant Be Choosers

Difficulty Popularity

As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?

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