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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4
votes
1answer
77 views

What is my number in circle? [duplicate]

N > 1 people sit in a circle clearly seeing all others. They are going to be blindfolded and, while in this state, hats are put on their heads - one per person, naturally. On each hat there is written ...
16
votes
3answers
454 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. ...
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 ...
5
votes
1answer
170 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 ...
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 ...
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 ...
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 ...
7
votes
1answer
132 views

The strange forest

In the forest of change there are strange creatures: 17 puzzs, 55 lings and 6 stacs. If one species meets the other, then they become the third. For example: If a puzz meets a stac, then they ...
19
votes
17answers
9k views

Number 88 from the digits 2, 0, 1 and 7?

Can you use the digits 2, 0, 1 and 7 each only once to create the number 88?
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. $Relationship$: $(A*BB)*(BC)^2$ = $(EF)^2- B$ ...
6
votes
5answers
742 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 ...
2
votes
2answers
137 views

sum and gcd june19 challenge!

Can anyone please help me out with the https://www.codechef.com/JUNE19B/problems/SUMAGCD question? Chef has a sequence of positive integers $A_1,A_2, \dots, A_N$. He wants to split this sequence ...
12
votes
3answers
564 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
338 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 ...
2
votes
1answer
95 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
221 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 ...
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.
2
votes
1answer
113 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 ...
21
votes
7answers
2k views

How much water do you need to cross the desert?

This question is inspired by Terry Pratchett's "Small Gods," in which an army crosses a vast desert by making multiple trips and caching water along the way. 1. Provide an answer. 2. I doubt I'm the ...
11
votes
1answer
500 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 ...
13
votes
4answers
671 views

A Chwistmas Widdle With a Twist

Chwistmas is the same with or without me, though I do wish you all Mewwy Chwistmas... I wish to be wid of my condition I am named and famed with humiliation A small happy square wheel! ...
4
votes
1answer
2k views

Finding Round Integer

An integer is round if it is greater than $0$ and the sum of its digits in decimal representation is a multiple of $10$. Find an optimal procedure to compute the $N^\text{th}$ smallest round integer. ...
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
1k views

Finding numbers having exactly two distinct digits

We have $10^K$ road signs (numbered 0 through $10^K−1$). For each valid $i$, the sign with number $i$ has the integer $i$ written on one side and $10^K−i−1$ written on the other side. We need to ...
14
votes
3answers
5k views

You surely don't want to score 100/100

The Story: Today, the Maths quizzes are handed out by the teacher. You got 100/100. Everyone got 100/100. But you're not happy with it. Everyone's not happy with it. You want to ...
3
votes
2answers
299 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
90 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
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
117 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 ...
6
votes
2answers
254 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
76 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
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
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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 ...
-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: $Given$: $A$, $C$, $L$, $N$, $O$, $S$, $U$, $...
8
votes
1answer
213 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 ...
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....
81
votes
7answers
17k views

Why does this solution guarantee that the prince knocks on the right door to find the princess?

I found this puzzle online: On the top floor of a castle lives a princess. The floor has 17 bedrooms arranged in a row. Each bedroom has doors connecting to the adjoining bedrooms as well as to the ...
57
votes
10answers
42k views

A camel transporting bananas

A somewhat well-known puzzle is described as such: You have a pile of 3,000 bananas. You wish to transport them to a place 1,000 miles away on the back of a camel; however, the camel can only carry ...
-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....
1
vote
3answers
193 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 ...
1
vote
1answer
157 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 ...
32
votes
6answers
6k views

Why is this Simple Puzzle impossible to solve?

Connect each red circle with each black circle by drawing a line and the lines should not touch. From each red circle, 3 lines must be drawn which connect red circles with black circles, but the lines ...
-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, ...
14
votes
7answers
617 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 ...
1
vote
1answer
179 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 ...
2
votes
2answers
135 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 ...
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: $COCA + COLA = SODA$
11
votes
4answers
3k views

Use 1 9 6 2 in this order to make 75

I'm looking for a solution to make number $75$ with numbers $1$ $9$ $6$ $2$ in that order and the same rules as in Use 2 0 1 and 8 to make 67. Here a copy of those rules: You must use all 4 digits. ...
9
votes
1answer
199 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 ...