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Questions tagged [calculation-puzzle]

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

9 votes
1 answer
569 views

When is the next "Factorion" date?

A "Factorion" date is a date such that when written to either one of M!+M!+D!+D!+Y!+Y!+Y!+Y! (MM/DD/YYYY), D!+D!+M!+M!+Y!+Y!+Y!+Y! (DD/MM/YYYY) , or Y!+Y!+Y!+Y!+M!+M!+D!+D! (YYYY/MM/DD) is ...
Thirdy Yabata's user avatar
8 votes
2 answers
475 views

Find a number whose divisors' factorials add up to a given number

This question did never came out in any contest. If $\sum_{d\mid n} d!=$ ...
Thirdy Yabata's user avatar
-4 votes
2 answers
237 views

Make numbers 1-40 using only 2, 0, 2, 6

Try to make all numbers 1-40 using the digits 2, 0, 2, 6. Rules: Use all four digits exactly once. Allowed operations: +,−,×,÷,! (factorial), $x^y$ (exponentiation), √ (square root). Parentheses and ...
astronomiclux's user avatar
7 votes
2 answers
1k views

Why does that person have a phobia on these dates?

Note: I created this puzzle. A person has a phobia on certain dates - January 15 and February 3. While some dates like April 15 and July 24 also appear unlucky, that person is more afraid of those ...
Thirdy Yabata's user avatar
5 votes
0 answers
306 views

An old book with an ancient numeral puzzle: How many coconuts?

I came across the following puzzle in "Puzzles, Patterns, and Pastimes from the World of Mathematics" by Charles F. Linn (https://archive.org/details/puzzlespatternsp00linn/ page 50): For ...
commutatertot's user avatar
12 votes
1 answer
619 views

Pattern of the Chessy Sequence

Find the pattern of the chessy sequence. Kn1 = 43x73x101x137 Kn2 = 25x41x26161 Kn3 = 43232323 Kn4 = 2x16170607 Kn5 = 32x4801369 Kn6 = 23x32x7x59x1087 Kn7 = 32x4801369 Kn8 = 2x16170607 (All of the ...
RDK's user avatar
  • 5,168
7 votes
2 answers
1k views

How much am I? - Four-digit number riddle

I came from any distinct four-digit number. While I was it, I reordered myself, marking my maximum and minimum. I saw a difference between them, then made that difference myself. I repeated this until ...
RDK's user avatar
  • 5,168
7 votes
2 answers
771 views

Find the Hidden Rule!

Handmade Puzzle. Solve the puzzle, and find the hidden rule. (This is not evil.) [Notations / Rules] 0. Latin Square - Each rows and columns should have distinct digits from 1~9. 1a. - Maximum cell: ...
RDK's user avatar
  • 5,168
8 votes
2 answers
835 views

Determine if there exists a future date such that the sum of digits of MM/DD/YYYY is equal to ⌊√yyyy⌋

Note: I created this puzzle. Determine if there exists a future date such that the sum of digits of MM/DD/YYYY is equal to $\lfloor\sqrt{yyyy}\rfloor$, where MM is the month, DD is the day, and YYYY ...
Thirdy Yabata's user avatar
33 votes
2 answers
2k views

2.25³ᐧ³⁷⁵ vs 3.375²ᐧ²⁵

Without using a calculator or a computer can you determine which of these two numbers is bigger: 2.253.375 or 3.3752.25?
Dmitry Kamenetsky's user avatar
5 votes
2 answers
659 views

Does this even have unique solution? - Logic Steps Blocked -

Solve this puzzle.(Handmade) Rules: Every rows and columns should have unique digits(1~9) once. Regions(): Yellow-colored cells should not have same digits. Max(): Bigger than adjacent cells. Min(): ...
RDK's user avatar
  • 5,168
3 votes
3 answers
217 views

With given numbers, make the number 87 [closed]

Try to make the number 87 using 5,5,1,0 Rules: Use all four digits exactly once. All mathematical operations are allowed. Concatenations are not allowed.
garyson's user avatar
  • 31
6 votes
1 answer
512 views

This is not about the last century...

1926 $\longrightarrow$ 19 1927 $\longrightarrow$ 16 1928 $\longrightarrow$ 20 1929 $\longrightarrow$ 19 1930 $\longrightarrow$ 19 1931 $\longrightarrow$ 15 1932 $\longrightarrow$ 18 1933 $\...
JKHA's user avatar
  • 7,958
16 votes
2 answers
792 views

Moving water by repeated equilibration

There are 100 full water tanks and 100 empty ones. You are given a hose that can connect any two of them in order to equilibrate the water level between them. All the tanks are cubical in shape, of ...
Tobias Fritz's user avatar
15 votes
3 answers
1k views

How many measures to know the area?

How many measures are required to figure out the area of the annulus below? (The center of the two circles are equal.) Attribution to my math lecturer. :)
RDK's user avatar
  • 5,168

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