What is the smallest number that has a remainder of 2 when divided by 14, 18 and 32?

You can check your solution here

New puzzles are published at least twice a month on Fridays.

What is the smallest number that has a remainder of 2 when divided by 14, 18 and 32?

You can check your solution here

New puzzles are published at least twice a month on Fridays.

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In issue @@@ of @@@, Sanders published a new type of puzzle, called ‘hidden numbers’.

I must confess that the puzzle was too hard for me, though in the future I may give it a try again.

In this post I present a simplified version.

1. The numbers 1 to n have been hidden in a square grid.

2. Yellow areas give the sum of the hidden numbers in row and column of the yellow square.

From here there are two ways to increase the difficulty of the puzzle (aside from increasing the size):

a) Put more than one hidden number in a row and / or column. This is what Sanders did.

b) Sum only the first number visible in any row or column. Any number, including the numbers in yellow squares, block the line of sight for any numbers behind them.

New puzzles are published twice a month on Fridays. Solutions are published after one or more weeks. You are welcome to discuss difficulty levels, variations and alternate solutions, but plz. don’t publish the solutions.

In this post I’d like to introduce TooTs, a mix between crossword puzzles and numbers. The grid looks just like a crossword puzzle, but instead of words the grid has to be filled with numbers. Vertical numbers must be read top-down. Thus if the digits 3, 9 and 5 are listed from the top down, the number would be 395.

Every clue consists of three numbers. Two of them have to be added together to get the number to be filled into the grid.

Example: the clue is 7, 8 and 13. Then the solution is either 7+8=15, 7+13=20 or 8+13=21. The name TooT is shorthand for Two out of Three.

Horizontal 1) 16, 17, 18 3) 20, 26, 36 4) 142, 139, 145 8) 6819, 20002, 30134 11) 18, 20, 22 12) 11, 24, 36 |
Vertical 2) 17, 19, 23 3) 18, 36, 47 5) 400, 406, 418 6) 18, 106, 256 7) 15, 25, 190 9) 1, 51, 61 10) 11, 12, 13 |

Horizontal 1) 16891 18930 6) 382, 23, 67 8) 25, 8, 17 10) 32, 14, 17 11) 2913476, 173823, 1876543 12) 61, 23, 38 13) 45, 11, 34 14) 865, 249, 444 16) 13947, 1171, 5419 |
Vertical 2) 53, 26, 27 3) 8843269, 332160, 345612 4) 22, 3, 5 5) 12263, 5321, 6942 7) 62652, 23487, 39165 9) 591, 109, 482 10) 374, 25, 98 14) 83, 16, 26 15) 54, 17, 27 |

You can check your solution here and here

Horizontal 1. 108, 132, 146 4. 2, 166, 660 6. 2497, 9892, 12837 9. 0, 7, 24 11. 212, 669, 774 12. 4, 19, 30 13. 18, 27, 27 15. 14, 33, 40 16. 242, 977, 2236 17. 596, 903, 2770 18. 25, 31, 52 20. 4, 11, 22 21. 7, 9, 35 22. 126, 343, 422 24. 3, 10, 13 26. 2918, 74181, 82214 28. 292, 320, 398 29. 66, 191, 228 |
Vertical 1. 38, 96, 224 2. 4, 41, 77 3. 239, 1644, 4146 4. 19, 29, 35 5. 3, 7, 227 7. 20, 36, 38 8. 1, 14, 17 10. 12591, 13966, 31881 12. 706, 10961, 36955 14. 186, 210, 367 15. 102, 153, 279 19. 2287, 3330, 3945 21. 112, 239, 304 22. 19, 26, 45 23. 6, 23, 87 25. 74, 299, 315 26. 33, 49, 52 27. 12, 12, 12 |

You can check your solution here and here

In a subsequent post, probably next month, I hope to publish some variations.

**Ages**^{**/*****}

**Ages**^{**/*****}

A man is 25 years old and his wife 23. He noticed that the sum of their ages (25+23=48) is exactly 4 times the sum of the digits of their ages. (2+5+2+3=12).

When will the sum of their ages be exactly 8 times the sum of the digits of their ages? And when will it be 9 times the sum of the digits?

You can check your solutions here

New puzzles are published at least twice a month on Friday. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars.

Use 3 3’s to make exactly 20.

Hint: USA inhabitants have it easier.

You can check your solutions here

A new puzzle is published every Friday.

This week a colleague brought some cake for his birthday. He didnt want to tell his age, but he did reveal that he and his daughter together were 46 years old, and that in eleven years he would be thrice as old as his daughter.

What are their ages?

You can check your solutions here

The Dutch reformed-christian ‘Reformatorisch Dagblad’ twice a year publishes an extra puzzle issue for its subscribers. This weeks puzzle type is 1-8, invented by Marijke Balmaekers, and published in the childrens section of the ‘Vakantie Doe Boek’ of the reformatorisch Dagblad.

The numbers one to eight have been arranged in a 5×5 grid in such a way that:

- Each of the numbers one to eight is used exactly once
- There are always one or two numbers in every row, column or diagonal
- the sum of the numbers is listed as a clue at the end of the row/column/diagonal

First of all I wish each and everyone of you a happy and healthy 2016!

Having said that, can you tell me what the last two digits are of 2016^2015?

You can check your solution here

This week I’ve got a quickie for you.

Last week I took an online certification exam. It was an open book certifiction, and I was free to consult the website and course map as often and as long as I wanted. Some types of questions scored 3 points, others scored 5 points.

My result was:

You scored 201 points out of 223 total possible points.

You answered 45 out of 51 questions correctly.

How many 5-point questions and how many 3 point questions did I miss?

You can check your solutions here

A new puzzle is posted every friday. You are welcome to comment on the puzzles. Solutions are added at the bottom of a puzzle after one or more weeks.

In 2038 someone has an age which is exactly the sum of the digits of the year in which he was born.

In what year was he born?

You can check your solutions here