Questions tagged [calculation-puzzle]

A puzzle that involves numerical calculations, such as multiplication and addition. Use with the [mathematics] tag.

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A Fun Number Puzzle [closed]

If 9 x 17 = 49 13 x 31 = 100 12 x 18 = 81 then 14 x 4 =? 1)100 2)81 3)64 4)121 NOT MY PUZZLE
shreya mulay's user avatar
6 votes
2 answers
972 views

BROWN + YELLOW = PURPLE [closed]

This is a Cryptoarithmatic, where each letter denotes a single digit number. Find values of all the letters. BROWN + YELLOW = PURPLE Please show your method for solving this question.
Anuraj's user avatar
  • 69
4 votes
4 answers
392 views

How to make 2012 by using 2, 0, 1, 2?

How to make $2012$ by using $2, 0, 1, 2$? Allowed Operations: Addition, Subtraction, Multiplication, Division, $!$ (factorial), subfactorial ( $!n$), primorial (product of the first $n$ primes), ...
Thirdy Yabata's user avatar
8 votes
3 answers
1k views

Walking in a random direction

I walk $\pi$ km in one direction followed by $\pi$ km in another direction. In expectation how far am I now from my starting location? Both directions are chosen uniformly at random between $0^{\circ}$...
Dmitry Kamenetsky's user avatar
0 votes
1 answer
64 views

Water and Milk Mixture Problem [closed]

There is a 100 liters of milk in a container. 5 liters of milk removed and replaced with water Once again 5 liters of mixture removed and replaced with water Now how you calculate to find out the ...
Étienne's user avatar
2 votes
1 answer
148 views

Unique day of the year

I made this challenge. Astronomers announced that the sky and the moon will appear violet-velvet next week, and one of their workmates is also celebrating her birthday on the day that the moon will ...
Thirdy Yabata's user avatar
18 votes
4 answers
5k views

Make 27 using 1, 1, 1, 1

Make the number 27 using 4 instances of the digit 1. You must use all 4 digits to make it count. Here are the allowed operators: Addition (+), subtraction (-), multiplication (*), division (/) Square ...
Alejandro Garcia's user avatar
4 votes
2 answers
442 views

Make expressions equal to 6 using exactly four 4s

You must use all four 4s. You may use addition (+). You may use subtraction (-). You may use multiplication, such as with asterisks (*) and/or grouping symbols. You may not use any division. You ...
Olive Stemforn's user avatar
7 votes
1 answer
1k views

When was the power restored?

The power went out last night. The stove clock is flickering and showing 7:54 AM. The cell phone shows 7:07 AM. When was the power restored?
orangeskid's user avatar
1 vote
1 answer
105 views

Happy New Year 2024 free drinks party [closed]

You have many friends and they like to drink*. So you decided to throw a whole-day party and invite them for a party with a free drink every hour. During the first hour one friend comes and you offer ...
Florian F's user avatar
  • 28.4k
3 votes
1 answer
274 views

Return to Montague Island, puzzle 5.2, quiz 5 [closed]

On this quiz, 005227 encodes the name Abby and 716123863 to Taylor. The key has something to do with encoding each letter as base 3 (c=010) and then writing the numbers in a column and reading down. ...
Russell Jernigan's user avatar
43 votes
1 answer
4k views

A strange operator on my new calculator

Yesterday, I bought a new calculator in an antique shop. I wanted to try some basic operations to see if it was working well. Everything felt right, except for the + sign: it seemed like it was ...
Jujustum's user avatar
  • 3,505
3 votes
3 answers
1k views

can you figure out how five plus nine equals six? [closed]

Quick riddle here for you 5 + 9 = 6... how? I look forward to hearing your answers, and I am writing this part in the hope it allows me to submit. (it did!)
Lisa H's user avatar
  • 55
12 votes
1 answer
957 views

Relatively prime numbers

Can you fill in the circles with numbers such that: Each pair of circles connected by one line contains relatively prime numbers Each pair of circles connected by two lines do not contain relatively ...
godlification's user avatar
0 votes
1 answer
177 views

Find the wrong number in the given series

I found this question in an Indian Highschool Reasoning Olympiad. I tried looking for any relation using powers of 2 but failed.
Darshit Sharma's user avatar
2 votes
1 answer
168 views

Kind of a Number Pattern

I found this problem in a highschool Reasoning olympiad in India.
Darshit Sharma's user avatar
5 votes
1 answer
803 views

Minimum number of turns

You have 64 identical-looking boxes numbered from 1 to 64, each weighing a distinct amount. On a turn, you can tell your friend two numbers between 1 and 64, and she will tell you which of the ...
quantrader23's user avatar
4 votes
1 answer
142 views

A Squared Cipher

While looking for squares, I stumbled across these numbers, which seemed to form a message: ...
SquareFinder's user avatar
0 votes
2 answers
408 views

A 4x4 sudoku shouldn't be that hard, right? Right?

Note: this is not in conjunction with my Minesweeper puzzles Got this idea from one of Cracking the Cryptic's videos, I don't remember which one though. This exact puzzle is still overall unique. ...
CrSb0001's user avatar
  • 1,780
4 votes
13 answers
4k views

Let's make a huge number with only tiny numbers

Using only three 1s and two 2s (i.e. 1,1,1,2,2), can you generate the number 55? You can use all mathematical operators you know, such as floor function, factorial, powers/indices*, etc., but ...
user86497's user avatar
10 votes
2 answers
493 views

Shiny cryptarithm

Here's a little puzzle I made today: $$\sqrt{\text{ILLUMINATE}^{\mathstrut}} = \text{LIGHT}$$ Most usual rules of alphametic puzzles apply here: the same letter always represents the same digit, and ...
Greg Martin's user avatar
  • 1,162
7 votes
1 answer
866 views

Before the Common Era

This is part 39 of the puzzle series Around the World in Many Days. Each part is solvable on its own. Dear Puzzling, The grid on the left-hand side is a KenKen puzzle. Fill the grid so that every row ...
Jafe's user avatar
  • 77.8k
3 votes
1 answer
282 views

Python Conundrum 2: Guess The Place

Python Conundrum: The Series The key: The puzzle: ...
web adventurer's user avatar
18 votes
3 answers
1k views

Sums in a (very small) box

This puzzle is part of the Monthly Topic Challenge #14: Think inside the (very small) box!. Place the digits 1 to 9 in the box below in such a way that in each row, each column and each diagonal, one ...
Florian F's user avatar
  • 28.4k
-1 votes
1 answer
223 views

Figure Out The Language: Min

Imagine there is a programming language in which you can only evaluate expressions. Expressions have operators and constants. There are three types of constants. Numbers - Any number from 0 to ...
The_AH's user avatar
  • 157
2 votes
0 answers
277 views

Find the ciphering method 4

Link to the entire series. The message: ...
web adventurer's user avatar
6 votes
1 answer
391 views

Find the ciphering method 2

Link to the entire series. The message: 3, 53, 48751, 9247757, 294914580539 The answer is a 13 letter word: UNDERSTANDING Hint 1:
web adventurer's user avatar
2 votes
1 answer
285 views

Find the ciphering method using deciphered message

Link to the entire series. Ciphered message: ...
web adventurer's user avatar
-5 votes
1 answer
228 views

Decipher a long sequence of numbers

51699624576811268526783109824167925197245652924177251787241782538786302873119768312852668312686625268245686752824473216878253830287925175273039778250852831287672527245665263006725397251762529312811498 ...
web adventurer's user avatar
0 votes
0 answers
74 views

Find the largest number with unique digits, that is divisible by each of its digits [duplicate]

Find the largest number with unique digits, that is divisible by each of its digits. For example 132 has unique digits and is divisible by 1, 2 and 3. But it is not the largest such number. Can you ...
Teodor Dyakov's user avatar
4 votes
1 answer
537 views

Help a woman from ancient Rome find out how her husband is doing

Let's go back 2000 years. A woman named Valeria received a strange message from her husband Claudius who is a frumentarius. The message: ...
web adventurer's user avatar
15 votes
1 answer
610 views

Operator! Some Product!

Happy Venndredi all, A relatively straightforward one! The three overlapping ellipses form seven curved regions and there are seven tiles. Your task is to place exactly one tile per region so that ...
AlteringIntegral's user avatar
25 votes
3 answers
5k views

Combine 1,3,3,7 to get 10

I tried lots of combinations but could not find a solution. Each number has to be used exactly once, the allowed mathematical operators are Addition: + Subtraction: - Negation: (unary prefix) - ...
Karl Karlsen's user avatar
16 votes
0 answers
2k views

What does this mathematical operator do?

The solution to this puzzle is one I came up with when working on this puzzle: What is the answer of this math puzzle? For two natural numbers a,b, can you figure ...
PattuX's user avatar
  • 552
6 votes
1 answer
1k views

What is the answer of this math puzzle?

One of my friend brought this simple-looking math puzzle to me, but it was harder than it seems. I tried several ideas including simple arithmetic operations, and even considering base-n. ...
SinonOW's user avatar
  • 71
5 votes
1 answer
334 views

Nuts and screws

Imagine that you are given a box with n nuts and n screws. Each screw have different size (diameter) and on each screw there is ...
popcorn's user avatar
  • 263
2 votes
1 answer
365 views

A and B don't know their own values

() isn't used mathematically in this puzzle. () means that whatever is inside should be evaluated in the most suitable and ...
The Amateur Coder's user avatar
2 votes
1 answer
603 views

Is Sumplete always analytically solvable?

I am stuck here at Sumplete. I have tried looking for numbers that must be used/must not be used using https://combinationsumcalculator.com/ and all of them are either not used in all combinations (...
d-b's user avatar
  • 121
14 votes
2 answers
2k views

Three clocks problem

Three clocks which show the times for three different time zones are hanging on a wall. The length of their minute hands is the same - but not the lengths of their hour hands. The lengths of the hour ...
Herbert Kociemba's user avatar
11 votes
2 answers
3k views

Three boats problem

Three boats are sailing on the ocean. The three boats form the corners of an equilateral triangle. Boat 1 heads southwards with a constant speed of 10 kn, boat 2 heads westwards with unknown constant ...
Herbert Kociemba's user avatar
-3 votes
2 answers
300 views

Is there an answer to this 'turning my fan off' puzzle?

I have a ceiling fan with 4 states. The states always go in the order of off, high, medium, low, off. A cord pull will change the state. One pull of a cord to turn the fan to the off state from the ...
Vandalous1's user avatar
5 votes
3 answers
497 views

An animal climbing something (forward/backward slide): is there a generalized solution?

A snail is at the bottom of a 30 foot well. Every hour the snail is able to climb up 3 feet, then immediately slide back down 2 feet. How many hours does it take for the snail to get out of the well? ...
Alexander's user avatar
  • 503
6 votes
1 answer
665 views

Cable with mixed wires

Let's say you have a cable that has n wires. Each wire on the left side corresponds to one wire on the right side. However you cannot distinguish between the wires ...
popcorn's user avatar
  • 263
2 votes
0 answers
182 views

Do puzzles like "write 120 using four 8" have a specific name?

Here on puzzling SE there is the category "calculation puzzle", but it's very broad. I'd like to know if somebody gave a specific name for such puzzles.
mau's user avatar
  • 2,085
9 votes
1 answer
3k views

Answers all, boob, X

A four-letter name is encoded A=0 to Z=25. Find a name that satisfies: The sum of the integers answers all, their product is like a boob, and their range is X. Order the integers by increasing ...
Tom's user avatar
  • 70.5k
5 votes
3 answers
1k views

Fill in the blanks with 1-9: ((.-.)^.)*..+.-.-.-.= 100

This is a math puzzle asked by a teacher of mine that I can't figure out. The puzzle is to fill in all blanks with digits 1-9, using each only once, to equal 100. The equation is as follows: (dots are ...
Calvin Bedell's user avatar
-3 votes
1 answer
98 views

Lengths of sides of a right-angle triangle [closed]

Let's have a right angle triangle. The sides have lengths equal to rational numbers. The area of the triangle is equal to 39, the length of the hypotenuse is 31.3 and the difference of the other two ...
Vassilis Parassidis's user avatar
12 votes
8 answers
3k views

Four ones and four zeros

Which is the smallest natural number that can not be expressed in base 2 with precisely four ones and four zeros using the four basic arithmetic operations, exponentiation, concatenation, brackets, ...
Bernardo Recamán Santos's user avatar
13 votes
1 answer
803 views

Ernie and the Chance to Save a Beautiful Relationship

I should have smelt a rat when Ernie invited me to an event at the local club rooms, because when I asked why his wife was not attending, he replied that she had another engagement for that night. “I ...
Penguino's user avatar
  • 13.8k
10 votes
1 answer
300 views

Equilibrium of differences

There is a subtraction equation written on the board, with three digits minus three digits, and the first digits both fixed. Alice and Bob need to fill in the remaining 4 digits (A~D below) using 4 ...
Pumbaa's user avatar
  • 938

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