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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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 ...
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
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
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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
112 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
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 ...
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....
82
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
43k 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
131 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
199 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
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 ...
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
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, ...
14
votes
7answers
630 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
194 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
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 ...
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
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 ...
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 ...
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 ...
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 ...
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 &...
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 ...
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 ...
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 ...
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 ...
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 &...
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? $19$, $17$, $13$, $?$, $?$, $3$, $2$
3
votes
2answers
304 views

Pan Digital Lucky Seven wants you to figure out all the digits

$Given$: A, B, C, D, P, Q, R, S, T are distinct digits varying from 1 to 9. AB, CD, PQ, RST are all concatenated Numbers. From the given expression , figure out all the digits to make lucky seven. ...
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 ...
1
vote
5answers
375 views

Create Numbers 1 - 100 using 1,9,6,8

Create all numbers 1 - 100 using equations made up of 1,9,6,8. Rules: Use all four digits exactly once Allowed operations: +, -, x, ÷, ! (factorial), exponentiation, square root. Parentheses and ...
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 ...
8
votes
1answer
680 views

I am caught when I was about to steal some candies

I am a eight years old boy, I love candies, but my mom does not want me to eat any more candies because I start to have black teeth :( but I still love candies so... Today when I was about to steal ...
5
votes
3answers
197 views

Find the Missing Members of this Powered Sequence

There are 4 missing members in this small series...labeled ???. Hint 1; Hint 2: Complete the series. $191$, $426$, $931$, $???$, $???$, $646$, $971$, $???$, $???$
6
votes
5answers
356 views

Shortest time to meet

Three runners are located at the corners of an equilateral triangle, 100 meter a side. They run to a point inside the triangle and their goal is to do it as fast as possible. If they run at the same ...
-1
votes
1answer
483 views

Products of three primes that bound RSA numbers [closed]

Let $N$ be some number. Let $R$ and $S$ be semiprimes (ie, each is a product of two prime numbers) such that $R \le N \le S$. For quite a few numbers $N$ we can find $R, S$ such that $S-R$ is small;...
3
votes
2answers
443 views

Let M and N be single-digit integers. If the product 2M5 x 13N is divisible by 36, how many ordered pairs (M,N) are possible? [closed]

Let M and N be single-digit integers. If the product 2M5 x 13N is divisible by 36, how many ordered pairs (M,N) are possible? -- source I tried it by reducing 36 into its positive factors (1,2,3,...
11
votes
2answers
527 views

2019 gold coins to share

You and your friend has found in total 2019 gold coins in a treasure hunt. Since your friend found the place to dig up, he deserves a bit more gold than you so you offer a game to share the coins to ...
5
votes
2answers
155 views

Please figure out this Pan digital Prince

Given: P, R, I, N, C, E, T, O, M are all distinct digits varying from 1 to 9. PCRON, PRINCETOM are two concatenated numbers. PCRON is the highest possible number you can have fulfilling the ...
0
votes
1answer
128 views

Don’t let this daunting equation dissuade you to deduce the desired result

Given: A, B, P are distinct digits. AA, AAA, ABB are concatenated numbers. Relations: $$P=A+A+B$$ $$(AA + ABB)^P-(ABB)^P=(AAA - A) ^P+(B+B^B*B)^P+(B^B)^P$$ Don’t be afraid to make reasonable ...
2
votes
1answer
219 views

Mathematical Sequence Based on Prime Numbers

This sequence is based on prime numbers Hint 1: 16, 17, 11, 16, 10, 8, 13, 7, 14, 8, 11, 7, 5, 10, 4, 11, 5, 10, ?, ?, ? What are the final three numbers?
3
votes
1answer
177 views

A Diophantine rational function [closed]

For how many integers $N$ is the rational function $\frac{N^2-2N-15}{N^2-N-12}$ also an integer?
6
votes
2answers
1k views

What's Bob's age again?

I created this problem myself, but I did have inspiration. Today is a special day, I'm moving out of my parent's house. My father comes to me and says "Wow, you're half my age. On the day we moved ...