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Programming Enigma Puzzles

15 April 2019

Posted by on **From New Scientist #1647, 14th January 1989** [link]

Four football teams are to play each other once. After some of the matches had been played a document giving a few details of the matches played, won, lost and so on was found. This time I am glad to say that, although it was rather a mess, all the figures given were correct. Here it is:

(Two points are given for a win and one point to each side in a drawn match).

Find the score in each match.

[enigma495]

10 April 2019

Posted by on **From New Scientist #1076, 3rd November 1977** [link]

I have been trying to persuade my employees at Our Factory of the merits, whatever Shakespeare’s Julius Ceasar may have said, of an honest soul in a slim body; and the connection between weight and truth. Alf, Bert, Charlie and Duggie have become particularly weight conscious and they were making some remarks one day about the latest news the scales had given them.

They spoke as follows:

Alf:Bert is lighter than Duggie.

Bert:Alf is heavier than Charlie.

Charlie:I am heavier than Duggie.

Duggie:Charlie is heavier than Bert.I found it interesting to note that my theory was supported. In fact the only one of these remarks to be true was that made by the lightest of the four men (their weights were all different).

Arrange Alf, Bert, Charlie and Duggie in order of weight.

[puzzle25]

27 March 2019

Posted by on **From New Scientist #1077, 10th November 1977** [link]

There are three tribes on The Island of Imperfection, the Pukkas who always tell the trith, the Wotta-Woppas who never tell the truth, and the Shilli-Shallas who make statements which are alternately true and false or false and true.

This story deals with four men whom we shall call

A,B,C, andDand there is at least one representative of each tribe among them.They make statements in accordance with their tribal characteristics as follows:

A:(1) My age is a multiple of six;

(2) My age is not the same asB‘s age;

(3)Dbelongs to a more truthful tribe than I do.

B:

(1) I am older thanA;

(2) The ages ofAandCare the same;

(3)D‘s age is a multiple of twelve.

C:

(1) I am older thanA;

(2)D‘s age is even;

(3)B‘s second remark is true.

D:

(1)Bis three times as old asC;

(2) My age is twelve more thanA‘s age;

(3)C‘s age is a multiple of thirteen.People tend to live for a long time on this wonderful island, but none of the four with whom this story deals is older than 105.

Find the tribes to which each man belongs, and their ages.

[puzzle26]

18 March 2019

Posted by on **From New Scientist #1643, 17th December 1988** [link]

The table below gives some information about the matches played, won, lost, drawn, goals for and goals against by four teams who are eventually going to play each other once. But the table is not complete. If it were, 24 figures would be given, but only 13 have been remembered. I might have known that there would be something unlucky about this and I would have been right, for one of these figures is incorrect. The table looked like this:

Which figure was wrong? What should it be? Find the correct score in each match.

[enigma492]

13 March 2019

Posted by on **From New Scientist #1078, 17th November 1977** [link]

In the addition sum below, letters have been substituted for digits. The same letter stands for the same digit wherever it appears and different letters stand for different digits.

Write the sum out with numbers substituted for letters.

[puzzle27]

27 February 2019

Posted by on **From New Scientist #1079, 24th November 1977** [link]

Across:1. Three of these digits are those of 6 across, not necessarily in the same order, and the other one is the sum of the digits of 6 across.

5. A multiple of the square root of 7 down.

6. A perfect cube.

8. A multiple of 23.

9. This is a prime number when reversed.

10. Each digit is greater than the one before.

12. The sum of the digits is 12.

Down:1. The sum of the digits of this number is the same as the sum of the digits of 3 down.

2. The same when reversed.

3. See 1 down.

4. Each digit is greater than the one before.

7. A perfect square.

8. A multiple of 19.

11. A prime number.

[puzzle28]

18 February 2019

Posted by on **From New Scientist #1639, 19th November 1988** [link]

In the following division sum each letter stands for a different digit:

Rewrite the sum with the letters replaced by digits.

[enigma488]

13 February 2019

Posted by on **From New Scientist #1080, 1st December 1977** [link]

In the following division sum each letter stands for a different digit:

Rewrite the sum with the letters replaced by digits.

[puzzle29]

30 January 2019

Posted by on **From New Scientist #1081, 8th December 1977** [link]

A new method to encourage goals in football matches has been suggested. In this method 10 points are awarded for a win, five points for a draw and one point for each goal scored whatever the result of a match.

3 teams, A, B and C are all to play each other once. After some, or perhaps all, of the matches have been played the points were as follows:

A 3

B 7

C 21Not more than 7 goals were scored in any match.

What was the score in each match?

[puzzle30]

16 January 2019

Posted by on **From New Scientist #1082, 15th December 1977** [link]

In the following, obviously incorrect, division sum the pattern is correct, but every single figure is wrong.

Find the correct figures. (The correct division comes out exactly. All the digits in the

are only 1 out, but all the other digits may be incorrect my any amount).answer

[puzzle31]

14 January 2019

Posted by on **From New Scientist #1634, 15th October 1988** [link]

Below is an addition sum with letters substituted for digits. The same letter stands for the same digit wherever it appears and different letters stand for different digits.

Write the sum out with numbers substituted for letters.

[enigma483]

26 December 2018

Posted by on **From New Scientist #1083, 22nd December 1977** [link]

A,B,CandDare all to play each other once at cricket. After some — or possibly all — the matches have been played,Ahad got 18 points,Bhad got 17 andChad got 21. I’m afraid however, that I was not able to find out how many pointsDhad got.Points are awarded as follows:

To the side that wins — 10

To the side that wins on the first innings in a drawn match — 6

To the side that loses on the first innings in a drawn match — 2

To each side for a tie — 5

To the side that loses — 0.Find the results of all the matches that were played.

[puzzle32]

19 December 2018

Posted by on **From New Scientist #1084, 5th January 1978** [link]

In the following football table and addition sum, letters have been substituted for digits (from 0 to 9). The same letter stands for the same digit wherever it appears, and different letters stand for different digits.

(2 points are given for a win and 1 point to each side in a drawn match).

Find the scores in the football matches, and write out the addition sum with numbers substituted for letters.

This completes the archive of puzzles from 1978. There is now a full archive of puzzles from *New Scientist* from January 1978 to September 1988, and also from May 1999 up to the final *Enigma* puzzle in December 2013. Together with the *Tantalizer* puzzles from Mar 1976 to May 1977, there are a total of more than 1350 puzzles available on the site.

There are 31 puzzles remaining to post from the *Puzzle* series, all from 1977, which fill the gap after the final *Tantalizer* puzzle.

[puzzle33]

10 December 2018

Posted by on **From New Scientist #1629, 8th September 1988** [link]

In both the football league table and addition sum below, letters have been substituted for digits. Each letter stands or should stand for a different digit (from 0 to 9), and different letters should stand for different digits. And so they do except for the fact that one of the letters is incorrect on one of the occasions on which it appears (if indeed it appears more than once).

The three teams are eventually going to play each other once, or perhaps they have already done so.

Which letter was wrong? What should it be?

Find the scores in the football matches and write the addition sum out with numbers substituted for letters.

[enigma478]

5 December 2018

Posted by on **From New Scientist #1085, 12th January 1978** [link]

The jobs of my five employees, Alf, Bert, Charlie, Duggie and Ernie, have been changing rather frequently lately and I am afraid that I have got slightly out of touch. It was rather important for me, however, to find out who does what, as they had recently been having a test designed to find out more about their assorted capabilities and it was clearly important for the Managing Director to know just what had been happening in the past so that he could predict the future.

The information that I managed to get about their jobs and their places in the test (in which there were no ties) was as follows:

1. Bert was as many placed below the Worker as he was above the Door-Knob-Polisher.

2. The Door-Opener was three places above Charlie.

3. Alf’s place was even and the Door-Shutter’s place was odd.

4. The Bottle-Washer was two places above Ernie.

In what order did they come in the test, and what were their jobs?

[puzzle34]

21 November 2018

Posted by on **From New Scientist #1086, 19th January 1978** [link]

In the multiplication sum below the digits have been replaced by letters. The same letter stands for the same digit whenever it appears, and different letters stand for different digits.

Write the sum out with letters replaced by digits.

[puzzle35]

12 November 2018

Posted by on **From New Scientist #1625, 11th August 1988** [link]

In this football league table, the sides are eventually going to play each other once, but, of the figures given, one is incorrect.

(Two points are given for a win and one point to each site in a drawn match).

Which figure is wrong? What should it be? Find the score in each match.

[enigma474]

7 November 2018

Posted by on **From New Scientist #1087, 26th January 1978** [link]

Four football teams —

A,B,CandD— are all to play each other once. After some of the matches have been played a table giving some details of the number of matches played, won, lost etc. looked like this:(2 points are given for a win and 1 point for a draw).

Find the score in each match.

A correction was published with **Puzzle 39**, as follows:

In the solution to

Puzzle 36, the table should have shown that D played one match. The error is regretted.

I have made this change in the table above.

[puzzle36]

24 October 2018

Posted by on ** From New Scientist #1088, 2nd February 1978** [link]

On the Island of Imperfection there are three tribes, the Pukkas who always tell the truth, the Wotta Woppas, who never tell the truth, and the Shilli Shallas who make statements which are alternately true and false, or false and true.

This story deals with three inhabitants of the island, one from each tribe, whom we shall call

A,BandC.AandCeach make a statement, butB, who goes through life in a bumbling and idle sort of way, does not in fact say anything on this occasion, although of course when he does speak he conforms to the strict rules of his tribe.

AandC‘s statements are as following:

A: B is not a Wotta Woppa;

C: If I were to askBwhat tribeAbelonged to, he would, quite rightly, say Shilla Shalla.To which tribes to

A,BandCbelong?

[puzzle37]

10 October 2018

Posted by on ** From New Scientist #1089, 9th February 1978** [link]

A division sum — find the missing digits.

[puzzle38]

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