All Questions
10
questions
0
votes
1
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107
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Light and bulb problem from an old maths contest
In a room there is a series of bulbs on a wall and corresponding switches on the opposite wall. If you put on the $n$ -th switch the $n$ -th bulb will light up. There is a group of men who are ...
- 626
0
votes
4
answers
237
views
A candle burns for an hour, and $M$ burnt candles can make a new candle. For how long can $N$ candles keep the room lit?
There is a solution to a puzzle about candles, which I can't follow.
Here is the puzzle:
Imagine there are $N$ candles. Each of the candles takes $1$ hour to burn. Out of burnt $M$ candles you can ...
user1197011
0
votes
0
answers
171
views
Where to find hard logic problems
I was searching for hard logic problems like for example counterfeit coin problem or the problems about merging two sorted sequences of weighted balls. Whenever I was searching for serious logical ...
- 23
2
votes
2
answers
198
views
Shapes made of concave and canvex curves combination problem
I have been working on this particular problem for a considerable amount of time. The problem is as follows:
[[ Image of problem ]]
In the $7$-by-$7$ grid above, one can draw a simple closed curve ...
- 23
1
vote
1
answer
144
views
numbers-based puzzle problem from a Deductive Reasoning section of Intro to Critical Thinking class. What is the optimal way to solve it?
The following puzzle is one of three deductive-reasoning problems (‘brain-teasers’) that were choosable to attempt for an assignment. Although it posits that "only simple arithmetic and logic&...
- 29
1
vote
0
answers
287
views
Rephrase a simple mathy logic problem (yielding solution of an ordered procedure), and its generalized counterpart, into a solvable algorithm.
I'm given a selection of logic puzzles about different entities crossing a river safely (either from the same side to the same other side, or switching sides; utilizing the same boat, with certain ...
- 29
0
votes
1
answer
162
views
Different ways to place the workers on Santorini board game
This combinatorics problem is based on the board game Santorini.
Consider a $5 \times 5$ chess board (but all squares are equal, say they're all white).
Player A places $2$ (equal) white workers in $2$...
- 1,316
8
votes
6
answers
807
views
In a row of $40$ kids, $22$ are sitting next to girls and $30$ are sitting next to boys. How many girls are there?
There are $40$ kids sitting in a row. Number of kids sitting next to girls is 22, Number of kids sitting next to boys is 30. How many girls are sitting in a row?
This is a problem from my brother's ...
- 637
7
votes
1
answer
6k
views
Three Color Triangle Challenge
Problem:
There is an inverted triangle colored dots. The colors are red, blue and yellow. If the two dots above are the same color, then the third dot below matches both. If the two dots above are ...
- 209
5
votes
1
answer
158
views
creating a more complex sudoku (69x6)
I would like to know if its possible to create a "sodoku" with this rule: in a table $69\times 6$ i want to put in the numbers from $1$ to $46$ repeated $9$ times, each numbers HAS to stay in the same ...
- 53