At the optician, I saw several spectacles for sale. The prices of the frames, still without the glasses, showed a very clear pattern.
What is the price of the one labelled with the question marks?
Usually you can find a new braintease here usually on Friday. Solutions are generally provided one week later.
You can check your solution here
Here is another age problem:
On a question about her age, Alice replied:
Me, I’m very old. I’m even older than my sis Barbara and I were together 7 years ago. And though Barbara is just two years younger than I am, she is still very young: she even isnt as old as we were together seven years ago!
What is the age of the girls?
You can check your solution here
There are numerous puzzles about ages, and most of them can be solved with elementary algebra, though the hassle of tracking forward and backward into time can sometimes be confusing.
2) My friend and his granddaughter*
A friend told me: 3 years ago, I was thrice as old as my granddaughter. 8 years before I that, that is, 8 years before I was three times as old, I was four times as old.
How old is my friend?
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Four combinations of a square and a circle have been labelled with a three letter code. What code should the combination in the middle have?
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The Polish mathematician Stefan de Banach could have said: In the year x I was x^2 years old.
What is the next year in which a person can be born and later make this claim?
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There are 5 filled and five empty glasses in a row:
A) Can you move 4 glasses in such a way that full and empty glasses alternate?
B) Can you move just 2 glasses so that full and empty glasses alternate?
I invite you to comment on the puzzle, but please do not give the solution. The solution will be given later.
You can check your solution here
1) Drink**
This weeks puzzle is a cryptarithm, one of the type of a non unique list:
BEER BEER BEER WINE WINE WINE WATER WATER WATER -----+ DRINK
Solve this with A less then B.
It goes without saying that I strongly advice you not to drink any beer or wine when solving this puzzle. And while we’re on the topic: though a glass of wine is reported to be healthy, be aware that any large amount of alcohol destroys a number of braincells, and that brains which are not full grown may suffer more damage from alcohol than full grown brains.
(Solution: 60)
Usually I construct my puzzles in such a way that the puzzles can be made and solved by those who are colour blind. That is alas not the case with this weeks brainteaser, for which I apologize.
The question is: what colour should go into the white square with the question mark?
You can check your solution at here
Substitute digits for the question marks:
149 162 536 496 481 ???
This problem was posed before in the British magazine Games and Puzzles, issue 44, 1976, in a slight variation.
You can check your solution at here
In Mathematics, an isosceles trapezium is a quadrilateral one pair of opposite sides are parallel and the base angles are equal in measure. Alternative definitions are a quadrilateral with an axis of symmetry bisecting one pair of opposite sides, or a trapezoid with diagonals of equal length.
How many isosceles trapeziums do you count in this figure?
Just for the sake of clarity, three triangles in one row would make an isosceles trapezium, as the red one in this example:
You can check your solution at here
Please try to solve the puzzles on your own: your self confidence will grow. You are welcome to remark on the puzzles, and I love it when you comment variations, state wether they are too easy or too difficult, or simply your solution times. Please do not state the soultions – it spoils the fun for others. I usually make the solution available after one or two weeks through a link, which allows readers to check the solution without the temptation to scroll down a few lines before having a go at it themselves.
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