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Results tagged with logical-deduction
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user 80061
A puzzle that requires formal logical deduction to arrive at the solution. This suggests more than merely reasoning through clues to find an answer (you might want [situation] for that).
5
votes
2
answers
267
views
What is the symbol on the face opposite ● (solid black circle)?
MAIN QUESTION:
Three different views of the same cube are shown. What is the symbol on the face opposite ● (solid black circle)?
BONUS QUESTION:
Would the answer to the Main Question be unique if y …
- 13.2k
15
votes
4
answers
937
views
Fill the grid subject to product, sum and knight move constraints
Using the numbers 2, 3, 4, ... 19 each exactly once, fill some of the empty squares in the grid with a number so that the product of the numbers in each row is as shown, as is the sum of the numbers i …
- 5,162
6
votes
1
answer
723
views
Fill the 4x4 grid with numbers to make eight arithmetic progressions
In the 4x4 grid below, fill each empty square with a number such that the numbers in each row form an arithmetic progression when read from left to right. Similarly, the numbers in each column form an …
- 3,527
17
votes
2
answers
758
views
Can you find a grand tour of the rooms in this 12x12 grid?
Puzzle maven Nob Yoshigahara offered this puzzle in the September-October 2000 issue of MIT Technology Review, attributing it to a Professor Kotani. In the 4x4 complex of rooms above, two of the room …
- 8,480
17
votes
2
answers
3k
views
Can you arrange ABCD...Z into a straight line so that consecutive letters of the alphabet ha...
Can you arrange the 26 letters of the English alphabet (ABCD...Z) into a straight line so that consecutive letters of the alphabet have an odd number of letters between them? You must use each letter …
- 1
3
votes
1
answer
224
views
Determine what numbers must be filled into the shaded squares to make the grid (now with ten...
A 5x5 Latin Square is a 5x5 grid of squares in which each square contains one of the numbers 1 through 5 such that every number appears exactly once in each row and column. A partially completed grid …
- 1,081
6
votes
1
answer
171
views
Determine the minimum number of numeric clues to make these mini-Sudoku puzzles have a uniqu...
Below are three grid layouts for mini-Sudoku puzzles.
For each type (Square, L and T), determine the minimum number of numeric clues you (as puzzle composer) would have to place in the grid so that th …
- 21.3k
7
votes
1
answer
586
views
Fill this Sudoku variant so that the sums of numbers in the outlined regions are all different
Place numbers in the grid so that each row and each column contain all the numbers {1,2,3,4,5} (each exactly once) and the sums of numbers in the outlined regions are all different.
Attribution: mom …
- 17k
15
votes
9
answers
4k
views
Starting with 2014 "+" signs and 2015 "−" signs, you delete signs until one remains. What’s ...
To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you! …
2
votes
1
answer
184
views
When Mo and Bo met Jo, Mo asked, “Are Bo and I both negative?” What can be deduced about Mo ...
Beginner puzzle (suitable for people who are new to puzzle solving).
A certain city has two types of people: the ‘positives’, who only ask questions for which the correct answer is “yes” and the ‘neg …
- 521
11
votes
4
answers
3k
views
What is the least number of colours Peter could use to color the 3x3 square?
Beginner puzzle (suitable for people who are new to puzzle solving).
Peter wants to colour the nine cells of a 3 by 3 square (see below) in such a way that each of the rows, each of the columns and b …
- 642
8
votes
3
answers
802
views
Fill the grid with numbers to make all four equations true
Using all the numbers {1,2,3,4,5,6,7,8}, each exactly once, fill each empty white square with a number so that all the horizontal and vertical equations are true. The grey squares are not used.
Att …
- 1
4
votes
4
answers
854
views
Fill a grid with numbers so that each row/column calculation yields the same number
Using all the integers 1 through 9, each exactly once, put a number into each square in the grid below so that the result of each row and column calculation is 5.
All operations are performed "left to …
- 10.6k
0
votes
1
answer
196
views
Identify the truth teller, the liar and the spy
Beginner puzzle
This puzzle is intended to be suitable for people who are new to puzzle solving.
Clarification: Both experienced solvers and new solvers are welcome to post solutions to this puzzle.
…
32
votes
2
answers
2k
views
What is the color of the final disc(s)?
A bag contains 7 red discs, 8 blue discs and 9 yellow discs. Two discs are drawn at random from the bag. If the discs are the same colour then they are put back into the bag. However, if the discs are …
- 5,899