Questions tagged [no-computers]

A puzzle designed to be solved without using calculators, online decoders or computer programming.

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2
votes
2answers
190 views

Coin around shapes: A Geometric paradox?

Here is a circular coin with diameter D Figure A From its starting position the small coin goes completely around a bigger circular body of diameter 4D without slipping, always in contact ...
20
votes
1answer
1k views

Farmer needs to get his word across the river

In the spirit of the classic river-crossing puzzles: ...
8
votes
2answers
291 views

Square Spin #4: Rude Awakening

Square Spin History: #1>#2>#3>#4 New Rule This puzzle introduces a new square type: Lonely squares (Ly) Lonely squares This type of square contains a box and it is ...
4
votes
2answers
168 views

Chess Construction Challenge #1-Read First Please!

I'm starting a new series in which I set a very specific goal with a unique (to be more specifically defined here in a bit) answer in which the solver must construct a chess position, sometimes a game,...
2
votes
1answer
112 views

Oops! Mixed up Multiplication - Needs to be Fixed

$Given$: $U$, $V$, $C$ are distinct digits, varying from 1 to 9. $U$ > $V$ > $C$ $UVC$, $VCU$, $CUV$ are concatenated Numbers $(UVC)*(VCU)*(CUV)$ = $234235286$ The digits on the right hand side ...
1
vote
5answers
230 views

How fast can you “DOCK” the “SHIP”? [closed]

You have to reach DOCK from SHIP in the minimum number of tries with the following rules. You are only allowed to change one letter at a time. You have to keep the word length the same. At each step ...
6
votes
1answer
191 views

Square Spin #3: Hickory Dickory Dock

Square Spin History: #1>#2>#3 Recap of the Rules Basic rules from #1 Ambiguity, Un and Re squares from #2 Problem #3: Hickory Dickory Dock The mouse ran up the clock. ...but ...
2
votes
1answer
105 views

What is the Last Digit in the Result of the given Expression? [closed]

$Given$: $ASC$ is a concatenated number with distinct digits. $S$ is square of $A$, $C$ is cube of $A$ Deduce the last digit of the following Expression through Deductive Reasoning only: $$\begin{...
1
vote
1answer
46 views

Pan Digital Split among Two Powers

$Given$: $AB$, $DBCE$,$AGFPQR$ are three concatenated numbers with all distinct digits varying from zero to nine. $AB^C$ = $DBCE$ $AB^F$ = $AGFPQR$ Deduce all the digits through logical reasoning ...
-5
votes
4answers
151 views

Go for the Gold

You are given a bag containing 1 and 2 ounce gold rounds. You need to draw one coin at a time till they Sum up to ten rounds. How many different ways you can achieve that? What is the quickest path ...
1
vote
1answer
81 views

Express the given Fractions as Continued Fractions

Using only the numbers, $1$, $2$, $12$. No concatenations allowed. Only permitted signs are plus and division. Brackets are not needed. Expressions should be as concise as possible. Typical ...
8
votes
1answer
262 views

3D Chess - Stale NBA (kNight-Bishop Assault)

This is my very first chess puzzle. Any constructive feedback is more than welcome. Thanks! Introducing 3D Chess! To make things simple for the first time, we are using a $3\times3\times3$ ...
3
votes
1answer
167 views

Holy Alphabet Arithmetic

$Given$: $A$+$B$+$C$=3 $B$+$C$+$D$=3 $C$+$D$+$E$=1 $D$+$E$+$F$=1 What is $E$+$F$+$G$=?
2
votes
1answer
158 views

Tricky Tricky!-Can you find the secret?

Here's a selfmate problem that just might be baffle you! Thus, I name it "Tricky Tricky!" It's White to move and selfmate themselves in 8 moves. Can you find the secret? As always, no computers ...
-5
votes
1answer
97 views

Fibonacci again..Distinct Digits..Detail all your Deductive Steps [closed]

$ABB$ $CDE$ $GFB$ $DPGB$ $QPFR$ $RDFD$
-3
votes
2answers
90 views

Mighty Knight Makes only Minimal Moves

Mighty Knight(regular chess moves only) is trapped in corner cell H1. What are the minimum number of moves needed for the Knight to visit each X marked cells? Example: F2..1. D1...2. Etc Final ...
1
vote
1answer
64 views

Figure out this Four digit Palindrome with two distinct digits and

The sum of the digits of the palindrome is Same as the number remaining after last two digits are removed.
7
votes
2answers
180 views

Puzzling Knight has a Message for all- Especially Newcomers

Of all the more than a Trillion messages he can deliver, he has especially selected this message for all. Follow his(normal chess moves for the Knight) path to get the message. His journey starts ...
13
votes
1answer
165 views

No Halves Hath the Heptagram

Here is the heptagram: Rules are the same as for the octagram. However, the heptagram has the very nice property that all words are unique. I.e., as you go around, you will not encounter any ...
2
votes
1answer
112 views

Deduce Distinct Digits of the Given Fibonacci Sequence- Detail all Steps

$DEPUS$ $SRST$ $UDQD$ $CTQU$ $DTPR$ $PQR$ $SDE$ $VRR$ $CVV$ $DUU$ $QP$ $TT$
1
vote
1answer
158 views

Especially Special

Here's a special and interesting chess problem that I came across the other day. It's White to move and checkmate Black in 7 moves. Source: Милошески, Бошко Mihajloski, Zlatko, Novi temi 1975 Comm. ...
3
votes
1answer
157 views

Valiant Knight is back..but he is in grave danger from the Evil Queen

King has placed a bounty on Valiant Knight and enlisted his evil queen’s help. Queen knows knight’s regular stops of his journey and knows he goes through all odd prime cells. She strategically ...
-3
votes
1answer
71 views

Strange? Primes and Palindromes have no business being in this Place?

$1$ $1$,$2$ Good easy start $1$,$2$,$4$ As expected $1$,$2$,$4$,$8$ I know it is going to be easy $1$,$2$,$4$,$8$,$16$ why is he giving this? I got it! $1$,$2$,$4$,$8$,$16$,Prime ...oops!.....
0
votes
1answer
73 views

How do you make Prime “COMPUTERS”?

$Given$: $COMPUTERS$ is the smallest Pan Digital containing all the digits 1 to 9 occurring only once. $COMPUTERSV$ is a Prime only when one of the correct digit ($V$)is added at the end. Also, $...
7
votes
2answers
234 views

Listen to my Story…Let us find the Unique Invisible Pan Digital Pair

I was an avid reader of Popular Science magazine. In the last page or so, they usually had visual clues without words to make useful stuff. I always wanted to create a mathematical puzzle like that ...
7
votes
2answers
232 views

Square Spin #2: Climb the Mountain!

Square Spin History: #1>#2 New Rules This puzzle introduces two new square types: Unmovable squares (Un) Replaceable squares (Re) Plus the concept of ambiguity! ...
2
votes
1answer
98 views

All Aboard..Hop onto the Power Train to reach Destination Unity

Your goal is to reach the destination unity. starting from $3462$ with three intermediate stops. You are allowed to use only 2 mathematical operations..multiplication and Exponentiation. All the ...
9
votes
4answers
517 views

The Football Squad

The sixteen players of a football squad, wearing shirts numbered 1 to 16, have arrived in town for a tournament. At their hotel, they are assigned 16 rooms consecutively numbered. Moreover, each of ...
2
votes
1answer
68 views

Primes from the Pan Digital

Pan Digital Number is the smallest with all the digits 1 to 9 with no repeats. When looking forwards or backwards, eleven Primes can be extracted from that number preserving the same sequence. Among ...
4
votes
1answer
99 views

Kill me or I kill you first!

How many mates are possible under 10 moves? Rule: Mate can go both ways. Under 10 moves. Feel free to let White or Black move first. Board diagram: Apronus PGN Viewer board for white taking the ...
6
votes
1answer
110 views

Down The Board-Selfmate In 10 Moves

Here's a miniature selfmate puzzle that I composed today. I just got an idea and I managed to successfully create it. I got the basic idea down to just 9 pieces, none of which are promoted. It's ...
12
votes
1answer
449 views

Resolve this Fibonacci Relationship

$Given$: $A$, $B$, $C$, $E$, $F$ are distinct digits varying from $1$ to $9$. $A$ is a Fibonacci number. $BB$, $BC$, $EF$ are concatenated Numbers. $Relationship$: $(A*BB)*(BC)^2$ = $(EF)^2- B$ ...
19
votes
2answers
639 views

Step into the Octagram

The diagram below shows a partially-filled "octagram". Step into it, if you dare! At every vertex in a long word. Flowing into every vertex are two short words. Anagrammed together, these two short ...
-6
votes
1answer
72 views

Professor Clark’s Precious Chemical Connections

They are primarily eight precious ones. Fill in the X s with appropriate letters to reveal all the 8 Precious Metals. Each X represents a letter. 1,5,7..vertical. 2,3,4,6,8..horizontal
3
votes
1answer
95 views

Take out one Third..Keep Two Third..To Total Ten

There are total 36 numbers in the grid shown in the picture. Cross out 12 of them and keep 24 of them. Sum of the rest of the numbers should total 10 for each row and column.
0
votes
2answers
82 views

It is not as Simple as it Looks to get the right Alignment

Of these US Coins (Quarter and Dime Combo). Initial arrangement of the coins as shown in the picture is as follows... Q D Q D Q D Q Objective is to attain the final configuration... Q Q Q Q D D D. ...
-6
votes
1answer
69 views

Give these Digits their own Place..Place them Right

In their own Circle. Such that the arrows point to successive numbers . Start with 1 and end with 9. There might be more arrows than necessary. Find the solution with least number of arrows ignored.
11
votes
1answer
499 views

Professor Roman gives unusual math quiz ahead of

His usual Monday Morning 8am class. This is for extra AAA credits. $A$, $B$, $C$ are distinct digits. $AA$, $BA$, $BBAAA$, $CBBBAB$ are distinct numbers. Please deduce these with concise reasoning ...
5
votes
1answer
120 views

Perfect Powered Relations - Please Figure them out

$D$, $E$, $F$, $G$, $H$, $S$, $T$, $U$, $V$ are distinct digits and can vary from 0 to 9. $DE$, $FGH$, $ESDE$, $SS$, $ST$, $SU$ are all concatenated Numbers. From the given Relations below, deduce ...
6
votes
2answers
350 views

Go Get the Six Six-Pack

And fill with right Mathematical operands and enjoy. Six Relations shown in the pictures are missing the right operands. You can only use plus, minus, multiplication, division signs in between the ...
5
votes
1answer
116 views

You versus Computer - Who will be the Winner?

You sit down to play a “new” game of chess. In this game only one Knight is on the regular 8x8 chessboard. Only regular legal moves of Knight are allowed. Game begins with computer going first to ...
4
votes
1answer
50 views

Deduce the Missing Digits from the given Relations

Picture shown below contains 3 horizontal and 3 vertical relations. Digits to be filled vary from 1 to 9. Order of operations is given following the arrows vertically and horizontally.
-4
votes
2answers
122 views

Be Quick and Calculating..Take Four Shots

To Target Sum of 100 Exactly . By shooting the right different numbers in four shots summing upto 100.
5
votes
1answer
108 views

Red and Blue Dividing Line

In the grid shown below, 20 numbers are given in blue and red. Draw a dividing line along the contours of the grid such that A) Blue Numbers Sum to the same on both sides of the line B) Red Numbers ...
4
votes
2answers
347 views

To Win The Right To ****************

I found this nice little problem on Tim Krabbe's website the other day. I found it so unique and beautiful, that I felt compelled to share it here as a puzzle to be solved. Please do not use a ...
2
votes
1answer
125 views

Mystic Island Math - Can you Figure it out?

On Mystic Island math is done via symbols. Distinct symbols represent distinct digits, varying from 0 to 9. From the picture below, figure out the corresponding digits. Please provide your reasoning....
-3
votes
2answers
127 views

How do you Solve an Age-Old Problem? [closed]

Mansion has a son (Mark) and a daughter (Mindy). Mark is older than Mindy. Five years ago, Sum of Mark and Mindy’s ages was twenty two. Five years from now, Mark will be exactly twice as old as Mindy....
2
votes
3answers
137 views

Be a Wordsmith — Assemble enough words to score 50 from the Triangular Settings [closed]

Use this triangular setting of letters to form as many words(minimum length 5) as possible, following the given rules. You can start at any letter, follow the connected lines to pickup additional ...
-5
votes
1answer
86 views

Express 50 to 100 with constituent digits only…my 100th pzl on 50th day

Using the following rules only, Express the numbers from 50 to 100 using only digits in the number. Concise with minimum number of characters is preferred. No concatenation of numbers allowed. Only, ...
2
votes
2answers
134 views

Find the “X “in the Box

Interlocked Rings shown in the picture share a common sum of 28. The numbers to be filled vary from 1 to 12 and do not repeat. Already four numbers..8, 9, 10, 11 are placed. Fill the X s with rest ...