Questions tagged [palindrome]

A palindrome is a word, phrase, number, or other sequence of characters which reads the same backwards and forwards.

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Largest 5-digit palindrome in base 16, where each digit appears at most twice

What is the largest number $ x $ such that $ x_{16}, $ i.e. $ x $ in base 16, is a 5-digit long palindrome, where each digit appears at most twice? A palindrome is a number that reads the same forward ...
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1answer
130 views

Add or subtract 212 in octal to get a palindrome

The puzzle is as follows: Suppose you have a three-digit number in the octal system. If you add or subtract 212 (also in the octal system) from that initial number, you get a three-digit palindromic ...
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2answers
175 views

Smallest four-digit palindromic numbers

What is the smallest four-digit palindrome that is the sum of two different three-digit palindromic numbers? There are different answers.
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1answer
474 views

A lad named E. Mandala

In a follow up from yesterday, I was sent another email from the same source. The tile of the message was, "A lad named E. Mandala" which I've set the title of this puzzle to. Can you help ...
3
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1answer
133 views

Determine all possible positive palindrome(s) numbers [closed]

Determine all possible positive palindrome(s) N numbers, such that the decimal representation of 2 x N^2 has no leading zeroes and contains each of the digits from 0 to 9 exactly once.
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3answers
589 views

Multiply 2 palindromic alphametics to make a pandigital number

There are some different definitions of pandigital numbers, so to avoid misinterpretation, lets use this definition: Pandigital numbers (pandigit) are numbers containing the digits 0-9, where each ...
8
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1answer
584 views

Palindrome in a cesarian code

Here's some album art from my favorite album "Trinity" by "Sons of Perdition": I've learned from reliable sources that the coordinates on this map are actually a cesarean cipher with a shift of , ...
17
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1answer
4k views

The same forwards and backwards, What am I?

Read forwards or backwards I'm the same Remove my last two letters I sound like a single letter Without my first two letters I'm trivial and sound like I'm an animal Leave only my second and fourth ...
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1answer
217 views

Longest Palindrome [closed]

What is the longest palindrome created? For those who don't know A palindrome is a word or series of words that read the same forwards as backwards. For example: hannah A man a plan a canal Panama ...
5
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1answer
124 views

Recreating palindromes

In this puzzle, I am offering you the paraphases of English palindromic phrases. That is, I take a phrase: replace each fragment of the phrase with synonymous expressions: My god, a low voice is ...
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2answers
1k views

What is the largest 12 digit palindrome number divisible by 7?

A palindrome number is a number that is the same forwards as backwards. Some examples are 3443, 12321, and 59095. Here's my question: What is the largest 12 digit palindrome that is evenly divisible ...
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1answer
454 views

The Palindrome Grid

There is a 7-by-7 square grid containing an "A" and "B" in each square, in a checkerboard pattern. You must get the board to have no palindromes in it, going horizontally or vertically, in a full row ...
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2answers
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Where did Billy go to?

There are lots of happy animals living with me in my house. Yesterday I wanted to enjoy an animal-free afternoon: I looked at Skippy and said "Go to festival". And off he hopped. Then I sent Cookie ...
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3answers
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Who wins the AI-game?

Anna and Isadora play a game by writing letters on the blackboard. In the first round, Anna starts by writing down the letter $A$ or the letter $I$. In the $n$-th round with $2\le n\le 999$, Anna ...