# Questions tagged [mathematics]

A puzzle strongly related to mathematical facts and objects, or whose solution needs serious mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.

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### 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. $Relationship$: $(A*BB)*(BC)^2$ = $(EF)^2- B$ ...
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### sorting 4 numbers using Min - Max boxes

Min-Max is a box that is capable of determining which of the two numbers is the higher (Max) and which is lower (Min). I need to use minimum amount of boxes in order to sort 4 different numbers (any ...
458 views

### Tiling a square with rectangles

Tile completely this 47 x 47 square with 52 rectangles. Each rectangle must contain precisely one numbered cell, and that number must be the area or perimeter of the rectangle it finds itself in. ...
98 views

### Resolve these Highly Narcissistic Relations

$U$, $V$, $C$ , $D$ , $E$, $F$, $G$, $H$, are distinct digits, varying from 1 to 9. $UVCD$, $EFGHD$, $EHHEV$ are concatenated numbers. Please deduce these with concise reasoning from the given ...
224 views

### What percentage of blue? [closed]

Lines are drawn parallel to the base of the triangle, dividing the other sides into 10 equal parts. Every second strip is painted blue. Question What is the percentage of blue color in the ...
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### Help the IT guy heal one of his hard drives [duplicate]

There are $64$ hard drives each with one extra bit ("flag"), the value of which you don't know (it can be '$0$' or '$1$'). One hard drive is infected with virus that you need to heal. You have two ...
765 views

### The Starks, Parks, Clarks and their kids

Inspired by Martin Gardner's puzzle from his book John,a new student at the Math Department of the College, was invited to a get-together at one of the Professor's house. Professor Stark welcomed ...
97 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.
600 views

### The Puzzling Reverse and Add Sequence

The sequence of numbers 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 11, 22,... (A056964 in the OEIS), in which the nth term equals n+reversal of digits of n, poses a number of intriguing puzzles. Here just ...
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### 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 ...
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### 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 ...
343 views

### How many codes are possible?

The line - codes we are looking at consist of black and red lines. These lines can have width 1 or 2. Black and red lines are taking turns, black line, red line, black line, ... The code ends and ...
315 views

### 5 cars in a roundabout traffic

Five cars are driving in a roundabout traffic at the same moment. Each comes from an other direction, and drives less than one full round. Also each car leave the roundabout traffic in an other ...
91 views

### Numbers 1 to 10 in the circles

The objective is to enter the numbers 1,2,3,4,5,6,7,8,9,10 in the blue circles. Doing this, the sum of the numbers has to be equal in the three connected rectangles (a rectangle consists of 4 ...
353 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 ...
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### 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 ...
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### A Prime Length Rope into Prime length ropes

We have a rope with a prime unit length, and we need to divide this rope into $9$ ropes by cutting it with prime and/or 1 unit lengths. After cutting the rope, you are supposed to find any kind of ...
52 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.
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### 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.
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### 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 ...
128 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....
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### 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....
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### Jack and Jill went up the Hill to play

A Simple Card Game. This deck of cards has only four cards simply labeled 1, 2, 3, 4. They are placed face down. Jack and Jill take turns to draw a card. You sum up the numbers drawn so far after ...
218 views

### A Magical Compass

On a walk through the Aelordern forest, a young man found a small brass compass on the ground next to the overgrown forest trail he was strolling on. He opened it eagerly and admired the elaborate ...
708 views

### Use 0 1 2 3 4 to form 9 3-digit numbers

Use $0, 1, 2, 3, 4$ to make the any of these numbers: $$331, 333, 435, 452, 455, 458, 461, 469, 470$$ You must use all $5$ digits $0, 1, 2, 3, 4$ each exactly once. You can make multi-digit ...
257 views

### Savage Road Signs (Part 3)

You only need to have read Part 1 to understand this question, reading Part 2 will only help understanding the epic storyline. Your daughter refuses to talk to you even though you have (once more) ...
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### 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, ...
139 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 ...
197 views

### Magical Knight Moves with Effortless Ease in his Magical Kingdom

Magical Knight knows every Square of his Magical Kingdom. In many respects, he is like any other knight...Literary,Prime, Normal(makes same allowed chess moves). He is people Knight . As he traverses ...
178 views

### color coded puzzle

Help me solve this problem. As this site appreciates a little effort from the person who posted it. Here's my thought process: 1) The matrix starts with 0 ( gr, gr, gr). It has three places which can ...
4k views

### Too early in the morning to have SODA?

Each letter shown represent distinct digit...can vary from zero to nine. $COCA$, $COLA$, $SODA$ are three concatenated numbers. Figure these out from the following relation: $COCA + COLA = SODA$
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### Fibonacci Cycles Back…Figure out the Fibonacci Number FBN

$Given$: $F$, $B$, $N$, $U$, $V$ are all digits that can vary from 0 to 9..but not necessarily distinct. $FBN$, $NBF$, $UV$, $VU$ are all concatenated numbers. From information given below, what is ...
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### Normal Knight sees the Big Picture during his Countrywide Travels [duplicate]

Normal Knight is savvy, energy saving as he travels through Regular Country... Ride along and Document Details of his Journey As this Knight (only chess move allowed) journeys through , he takes ...
202 views

### One to Eleven Sum to Twenty Five

From the picture shown below, deduce the missing numbers (one to eleven)... none of them repeating. Four Numbers surrounding the Five diamonds A, B, C, D, E, as well as the five numbers in the outer ...
187 views

### What is the missing number in set B?

A {6, 2, 2, 2, 16, 2} B {37, 37, 3, 3, 3, ?} The numbers in set A relate to one another through a numerical or abstract pattern. Set B has a similar or a somewhat contrasting pattern .The task in ...
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### An Arithmetic loving Ant crawls to one Hundred

This ant can do arithmetic but can crawl only horizontally or vertically, never diagonally. It starts from one of the cells shown in the picture below. It’s path covers thirteen different numbers ...
2k views

### Catching a robber on one line

At x = 0, a thief robbed a bank. The thief ran one of two known directions at a constant speed, towards x < 0 or towards x > 0. The cop arrives at the crime scene some unknown time after the ...
62 views

### Distinct SemiPrimes with Close Factors

I'm in the midst of developing a game for several friends as a friendly competition. It begins with generating the largest distinct semiprime feasible with factors that closely related in length ...