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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12
votes
1answer
450 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. $Relationship$: $(A*BB)*(BC)^2$ = $(EF)^2- B$ ...
10
votes
2answers
1k views

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 ...
16
votes
3answers
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. ...
2
votes
1answer
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 ...
7
votes
1answer
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 ...
2
votes
1answer
118 views

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 ...
6
votes
5answers
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 ...
3
votes
1answer
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.
12
votes
2answers
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 ...
11
votes
1answer
509 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 ...
2
votes
2answers
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 ...
3
votes
2answers
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 ...
4
votes
1answer
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 ...
6
votes
2answers
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 ...
5
votes
1answer
121 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 ...
5
votes
1answer
82 views

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 ...
4
votes
1answer
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.
-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
111 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 ...
2
votes
1answer
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....
-3
votes
2answers
129 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....
1
vote
3answers
197 views

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 ...
8
votes
1answer
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 ...
12
votes
6answers
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 ...
6
votes
2answers
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) ...
-5
votes
1answer
88 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
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 ...
2
votes
2answers
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 ...
1
vote
1answer
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 ...
9
votes
3answers
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: $COCA + COLA = SODA$
2
votes
1answer
74 views

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 ...
3
votes
1answer
163 views

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 ...
9
votes
1answer
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 ...
1
vote
1answer
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 ...
6
votes
2answers
171 views

Take Twelve to Total Twenty Two

Without repeating the numbers 1 to 12, Fill the grid below to total 22 in both directions. $$\def\X{\smash{\rlap{\Space{7pt}{0px}{0px}\llap{\Huge{\times}}}}} \Large\begin{array}{|c|c|c|c|}\hline &...
5
votes
1answer
182 views

Answered it badly…on purpose?

Teacher: You got a 0. Miles Morales: Is that...failed? Teacher: Listen. If you answer all questions on a multiple choice test randomly, you would get a 25%. This means the only way for you to ...
3
votes
1answer
105 views

A Lollipop with Roots

$Given$: $S$, $T$, $U$, $V$. are distinct digits which can vary from zero to nine, with $V>U$. $ST$, $STT$ are concatenated Numbers. Deduce S, T, U, V from the following relationship. $$ST=\...
4
votes
1answer
83 views

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 ...
12
votes
3answers
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 ...
0
votes
0answers
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 ...
-1
votes
1answer
121 views

SOLV for Narcissistic UVC

This puzzle highlights some cyclic power Relations. Please provide detailed reasoning of derivation of digits from various power relations given below: $Given$: $A$, $C$, $L$, $N$, $O$, $S$, $U$, $...
14
votes
7answers
629 views

10 coins, 3 of them are fake

Inspired by some great weighing puzzles here (This being one of my favorites), I just made another weighing puzzle - I'm not quite sure how difficult or easy this one is. You are given 10 coins, 7 of ...
5
votes
1answer
126 views

Any Volunteers for Card Counting?

You are given 2 matching card decks with Aces, Kings, Queens, Jacks removed. Now each deck has 36 cards. One deck is shuffled and placed on top of the other deck. Starting from the top card, you ...
12
votes
3answers
581 views

How many possible starting positions are uniquely solvable for a nonogram puzzle?

This type of puzzle goes by many names: Nonogram, Picross, and Griddlers are all mentioned on the Wikipedia page, Simon Tatham calls it Pattern, I was introduced to it as Descartes Rainbow, ... The ...
2
votes
2answers
77 views

All the Signs point to the Second Prime…Figure out the Missing Digits

$Given$ The six Interrelated Equations A, B, C, D, E, F All equal to 3. Allowed Digits.. 1 to 9. All the missing 9 are distinct...9?s...9 Different Digits Fillin all the digits that satisfy all ...
-4
votes
1answer
111 views

Prime Sequence…a little bit Unusual about the Missing Members

What are the Missing Members in this Prime Series? what is the Significance of this Sequence? $19$, $17$, $13$, $?$, $?$, $3$, $2$
6
votes
1answer
118 views

All Raised to the Power of U

$Given$: C, I, L, U, V are all distinct digits and can vary from 0 to 9. $LIV$, $UVC$ are concatenated Numbers. $U^U$ + $V^U$ + $C^U$ = $UVC$ $L^U$ + $I^U$ + $V^U$ = $LIV$ Solve for all the ...
4
votes
1answer
147 views

Fill.in the two missing terms in this Simple Sequence

What are the two missing numbers in the sequence shown below: $$\def\S{\phantom{XX}} \large\begin{array}{|c|c|c|c|c|c|}\hline \S&\S&\S&\S&\S&\S\\[-10px] 4 & 5 & 6 & 7 &...
7
votes
4answers
286 views

Savage Road Signs (Part 2)

Please read part 1 or this might be confusing Since part 1, you have replaced the stolen stickers and your daughter has forgiven you. The highway ended up being a full 700km long, so you are happy ...