# Questions tagged [calculation-puzzle]

A puzzle that involves numerical calculations, such as multiplication and addition.

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### The largest integer made of 1,2,3,4

What is the largest integer $A$ that can be produced from the four digits $1,2,3,4$ subject to the following rules? Each of the digits $1,2,3,4$ is used exactly once. Juxtaposition of digits is ...
104 views

### The master puzzle

Take any angle in a circle Divide that respective angle in equal proportions up to infinity intervals . Then apply a pattern that I had given below . The numbers you obtain after doing so should be ...
9k views

### Using only 1s, make 29 with the minimum number of digits

Use the minimum number of ones to make 29. Here is the list of operations permitted: "Standard" operations, such as: $x+y$, $x-y$, $x\times y$, $x\div y$ Negation: $-x$ Exponentiation of two numbers:...
977 views

### One beer too many

You're standing outside your apartment building after a late night out, with perhaps one beer too many, and you realize you have completely forgotten the code to get in. Luckily, you're a mathematical ...
17k views

### How to prove that this man has a profit of 20 and not 10?

This is not actually a puzzle per se, but I'm asking for an explanation about the puzzle's answer. The puzzle goes like this: A man bought a goat for 60. He then sold it for 70. Later, he bought ...
264 views

### Word Puzzle: Find The Maximum Words (+Mystery Clue)

Similar to the heart of this, but with different rules, I have developed a new word puzzle. Partial answers which answer part of it correctly will be upvoted! Your objective is to find the maximum ...
375 views

### Houses and Telephone #s

There are 16 houses consecutively numbered 1-16. All houses have 7-digit telephone numbers, numbered consecutively, in the same order. For example, if house #3's phone number is 1111111, house #4 will ...
238 views

### systematic number removal [duplicate]

The whole, natural numbers 1 through 50 are written on a board. The following operation is performed 49 times: select any two of the numbers on the board and write the absolute value of their ...
475 views

### Analyzing Single-Elimination Tournaments

I know there are many questions/answers about single elimination tournaments out there, but I wanted to approach this question in a more holistic way. For a single-elimination tournament with N ...
159 views

### What is next in the number sequence?

Two and two is four, But three and three is nine; Four and four is eighty, But five and five is none. What is the next line in the sequence?
306 views

### Is it possible to methodically find the total of ways to read a given phrase making a stack? [closed]

I have been going in circles for a few days now with this word-search puzzle and I still cannot find a clever solution to the problem. Is there a systematic approach that doesn't involve guessing? The ...
396 views

### The Building, the Elevator and the Milkwoman

A building has $10$ stories ($i=1, 2, \ldots, 10$, where $i=0$ is the ground floor). Each of those stories have $4$ apartments. Inside each apartment there is a married couple. The ground floor, $i=0$,...
3k views

### Create all numbers from 1-100 using 1,3,3,6

Create all the numbers from $1$ to $100$ using the numbers $1$,$3$,$3$, and $6$. You can only use each number once, except for the $3$, of which you have two. You can use addition ($x+y$), ...
287 views

### Create all numbers from 1-100 by using 1,3,3,7

Create all the numbers from $1$ to $100$ using the numbers $1,$$3,$$3,$ and $7.$ You can only use each number once, except for the $3,$ of which you have two. You can use addition $(x+y),$ ...
367 views

### A puzzle in kindergarten's book

I found the following puzzle in a kindergarten book: Can anyone give a clear explanation as to what the answer is and why? The first time I tried to solve it I got an answer of 6, by noting that the ...
421 views

### Find the missing number in grid

When I doing the IQ paper last Sunday, I found an interesting question. Using that I made a different puzzle. Hint 01: Hint 02: Hint 03: Hint 04: Text version: 25 13 43 35 66 53 45 -- 63 55 ...
98 views

### Write $\sqrt{5}$ as sums of powers of $1 + \sqrt{2}$? [closed]

The number $A = 1 + \sqrt{2}$ solve the equation $A^2 = 1 + 2 \sqrt{2} + 2 = 1+2A$. We also have that $$0 < \dots < A^{-2} < A^{-1} < 1 < A < A^2 < \dots$$ The powers are in ...
429 views

### What will be the next term in this mathematical sequence?

What will be next in this series? $$0, 6, 24, 60, 120, 210, ...$$ I've tried it and noticed that the numbers are multiples of six. But I couldn't make a relation between them.
540 views

### Who gets more money?

There are two people eating bread. One of them has 5 loaves of bread; the other one has 3. They invited a third person to eat with them. They ate all 8 loaves of bread, and out of appreciation he gave ...
2k views

### Help solving a math puzzle table

I am struggling to find the answer. Here is the source: math logic puzzle phone app.
2k views

### The Pie-Maker's Son

Preface: There's a lot of background story here. Most of it is just for fun but there are definitely clues sprinkled throughout. If you want the strict puzzle, skip on down to the bottom. For many ...
424 views

### 5 Digit Code Puzzle

We have a 5 digit code, any place can take 1 2 or 3. How do I find where the 2 is placed (if placed) knowing this criteria? 1) If the 1st digit is not a 3 then the 2nd is. 2) If the 1st ...
115 views

### How many possibilities are there for the buried treasure?

You have discovered a map to some buried treasure on an island the shape of a circle. The map has 9 markers which represent posts situated on the edges of the island. The 9 posts are located; North, ...
1k views

### 9sums - a logical deduction puzzle

Each set of minuses contains an integer in the range [1,5]. The given numbers are the sum of the surrounding 4 numbers. --- --- --- --- 13 14 11 --- --- --- --- 11 ...
124 views

### Simple and intriguing

Five friends are sharing information about the marbles they have attempting to derive the total amount of marbles they own without disclosing to others the amount each own. They decide to do it by ...
649 views

### What is the next number in the given series?

I know that next number questions are not popular here, but this one is tough and I couldn't figure out the pattern. To give an idea one of the questions had a pattern of Prime(Fib(n)). So this is ...
99 views

### 14sums - the diamond standard

My initial question had lots of answers, and my second had too many constraints. So, I have removed some constraints and added another. Same rules as before, but we are now using $[0,6]\cap\mathbb{Z}$....
4k views

### Doubling/tripling puzzle: make 1 from 1536 in as few steps as possible

You start with the number 1536. Your mission is to get to 1 in as few steps as possible. At each step, you may either multiply or divide the number you have, by either 2 or 3; but, only if the result ...
804 views

### How do I make 76 using only the numbers 2,0,1,9? [closed]

I must use each number 2,0,1,9 (only once) to come up with an answer of 76
43 views

### Sequence puzzle in rows [duplicate]

The below is a number puzzle. It should be read left to right, top to bottom. Question 1: What is the next two rows of numbers? Question 2: How was this reached?
2k views

### Through which number we can remove the question mark?

I'm trying to solve this puzzle but so much confused and can't understand even.Please help me to solve this puzzle and also explain briefly.
131 views

### 21sums - more constraints

My initial question had lots of answers, as we can practically choose the middle square to be anything we want, and work outwards to the exterior edges, with the corners providing the flexibility ...
2k views

### Which two numbers replaces the question mark?

I was solving some number puzzles. I am finding difficulty in solving this puzzle: which two numbers will replace the question marks? I need answer with explanation.
4k views

### A Set of Water Jug Challenges

You've probably heard about challenges with water jugs, so why not try a few? Use 3- and 5- liter jugs to get 4 liters. Use 5- and 7- liter jugs to get 4 liters. This one's different. How many ...
384 views

### Fuzzy the Fuzzball

Fuzzy the fuzzball was very sad. He had lost his fuzz. Everyone knew if you lost your Fuzz you could no longer be a fuzzball. Fuzzy went to this friend Frizzy and shared his dilemma. "Don't worry, ...
959 views

### What date can it be?

To save money, a meticulous person had a oddly unique way of splurging money. Each day the person would splurge an amount equal to the month-digits + day dollars. So for the first of April it would ...
668 views

### Finding the Dr. Bronowski's number

All credit for this problem goes to Dr. J. Bronowski. Find the least positive integer such that moving the leading digit to the end produces a new integer one and a half times the original.
24k views

### Find out the correct number

Find out the correct number to replace the question mark. Source: Beijing Aidi International School summer test (2018-08-21). Author: 坦途国际教育
565 views

### Rolling a dice - Expectation Question [closed]

I heard / read / acquired this puzzle from somewhere: Roll a die, win $2\times$ the value of the face if it is an even number, or win $1\times$ the value of the face if it is an odd number. How ...
516 views

### Simple Math Problem #3

Previous Puzzles(Not linked to this one): Simple Math Problem #1 and Simple Math Problem #2 Prove the equation: $-6439832+ = 9$ $-$ and $+$ are there just to tell that you can use only these two ...
706 views

### Pizzle - Will you ever show up, Rick?

NB: Pizzle = Puzzle + Riddle Chapter 1: Let's start (solved in comments) You can see me, but you can not catch me I'm lightweight, but I could lift you up easily Chapter 2: The First Piece (...
440 views

3k views

### N pirates steal their share of bananas to the benefit of a monkey

The following is a type of logic / math puzzle I've yet to see on this site. I feel it belongs because the kernel of this problem can be reworked into other puzzles. $N$ pirates find themselves ...