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Programming Enigma Puzzles

21 March 2018

Posted by on **From New Scientist #1103, 18th May 1978** [link]

There has been a great craze for football recently on the Island of Imperfection and I have been fortunate enough to get some details of games played there.

There are three tribes on the Island — 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.

Three teams, one from each tribe, have been having a competition, in which eventually they will play each other [once] — or perhaps they have already done this. The secretaries of the three teams have been asked to give details of the number of matches played, won, lost and drawn and they do this in accordance with the rules of their tribe — so that, for example, all the figures given by the secretary of the Wotta-Woppa team will be wrong.

The figures given are as follows (calling the teams

A,BandCin no particular order):(In no instance did a team win by a majority of more than three goals).

Find the tribe to which each of the three teams belong, and the score in each match.

[puzzle52]

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28 February 2018

Posted by on **From New Scientist #1104, 25th May 1978** [link]

In the following addition sum the digits have been replaced by letters. The same letter stands for the same digit wherever it appears and different letters stand for different digits.

Find the digits for which the letters stand.

[puzzle53]

14 February 2018

Posted by on **From New Scientist #1105, 1st June 1978** [link]

Three football teams —

A,BandC— are to play each other once. After some (or perhaps all) of the matches had been played, a table giving some details of the matches played, won, lost etc. looked like this:(Two points are given for a win, and one point to each side in a drawn match).

Find the score in each match.

[puzzle54]

7 February 2018

Posted by on **From New Scientist #1106, 8th June 1978** [link]

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

The correct division comes out exactly. The digits in the

are only 1 out, but all the other digits may be incorrect by any amount.answerFind the correct figures.

[puzzle55]

24 January 2018

Posted by on **From New Scientist #1107, 15th June 1978** [link]

In the addition sum below with letters substituted for digits all is not as it should be. Uncle Bungle has been at it again, and

of the letters is incorrect. (Each letter should stand for the same digit wherever it appears and different letters should stand for different digits, and so they do except for theonewrong letter).oneFind the mistake, and write out the correct addition sum.

[puzzle56]

10 January 2018

Posted by on **From New Scientist #1108, 22nd June 1978** [link]

Four football teams (

A,B,CandD) are to play each other once. After some of the matches had been played a table giving some details of the numbers won, lost, drawn, and so on was drawn up.But unfortunately the digits have been replaced by letters. Each letter stands for the same digit (from 0 to 9) whenever it appears and different letters stand for different digits.

The table looks like this:

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

Find the score in each match.

[puzzle57]

27 December 2017

Posted by on **From New Scientist #1109, 29th June 1978** [link]

In the following division sum each letter stands for a different digit. Rewrite the sum with the letters replaced by digits.

[puzzle58]

13 December 2017

Posted by on **From New Scientist #1110, 6th July 1978** [link]

A,B,CandDare having a cricket competition with each other in which eventually there are all going to play each other once. 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: 0The latest news I have about their points is as follows:

A21;B10;C9;D6.Find the result of each match.

[puzzle59]

29 November 2017

Posted by on **From New Scientist #1111, 13th July 1978** [link]

“If you know what you are adding you should be able to add it”, said Uncle Bungle when I complained to him that though the first two lines of his addition sum were legible, the last line across was not. I can of course see what he means by this but he seems to forget that in his addition sum letters have been substituted for digits. The same letter stands for the same digit whenever it appears and different letters stand for different digits.

In the last line across Uncle went haywire and as four of the letters were illegible I have replaced them by blanks. The sum reads like this:

Find the correct addition sum (from the remark that Uncle made I gathered that in the final sum all 10 digits appear).

[puzzle60]

15 November 2017

Posted by on
1 November 2017

Posted by on **From New Scientist #1113, 27th July 1978** [link]

Across:1a. The digits are all even.

4a. Odd, and even when reversed.

5a. 19 is a factor of this.

Down:1d. A perfect square.

2d. A perfect square when reversed.

3d. Each digit is 1 less than the one before.(There are no 0’s).

[puzzle62]

18 October 2017

Posted by on **From New Scientist #1114, 3rd August 1978** [link]

“Never tell them more than you need”, as Professor Knowall has so often said. “And pay them the compliment, my dear Sergeant Simple, of supposing that they are capable of putting one and one together to make two”.

As my readers will know, the professor, though he does not often have the time to turn his attention to anything other than crime, is very interested in football and likes making up and solving football puzzles. His remarks about putting one and one together to make two seemed rather silly to me at first, but I soon realised what he meant when he showed me the puzzle.

It was about four football teams, and gave some information concerning the number of matches played, won, lost and so on. But of the 24 pieces of information that one might have expected only 12 were given. One did indeed need to put one and one together to make two.

The information was as follows:

“That ought not to be too hard for you, my dear Sergeant”, he said, “but I must add also the information that not more than seven goals were scored in any match”.

I’m afraid it was too much for me, but I hope that the readers will be able to find out the score in each match.

(Each team is eventually going to play each other once).

[puzzle63]

4 October 2017

Posted by on **From New Scientist #1115, 10th August 1978** [link]

Each digit in the addition sum below is wrong. But the same wrong digit stands for the same correct digit wherever it appears, and the same correct digit is always represented by the same wrong digit.

Find the correct addition sum.

[puzzle64]

20 September 2017

Posted by on **From New Scientist #1116, 17th August 1978** [link]

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

The correct division, of course, comes out exactly. All the digits in the

are only 1 out, but all the other digits may be incorrect by any amount.answerFind the correct figures.

[puzzle65]

6 September 2017

Posted by on **From New Scientist #1117, 24th August 1978** [link]

I had been away from the Island of Imperfection for some time and I was amused — and rather distressed — on a recent visit to find that there was now another tribe there.

But I had better explain. In the old carefree days, which I knew so well, there had been three tribes on the island. The Pukkas, who always told the truth, the Wotta-Woppas, who never told the truth, and the Shilla-Shallas, who made statements which were alternately true and false or false and true. I cannot pretend to know how it happened but now there is another tribe who call themselves the Jokers. I am afraid that all I can tell you about them is that in making three statements their truth-telling rules are any rules that are different from those of the other three tribes. Just to be different! That seems to be all they are interested in, and I find it hard to restrain myself from making some acid comments about the modern generation. They don’t seem to be much interested in fun or laughter but in achievement. And it is no doubt because of this that the main currency of the island is called a Success, and it made up of 100 Hopes.

Four men,

A,B,CandD(one from each tribe), make statements as follows:

A: (1)Bmakes more true statements thanDdoes.

A: (2) My income is 7 Successes and 50 Hopes per week more or less thanD‘s income.

A: (3)Cis a Wotta-Woppa.

B: (1)A‘s income is 2 Successes and 50 Hopes per week more or less than mine.

B: (2)D‘s second statement is true.

B: (3)C‘s income is 8 Successes and 50 Hopes per week.

C: (1)Dis a Joker.

C: (2) My income is 10 Successes per week.

C: (3)Bis a Pukka.

D: (1)Bis a Joker.

D: (2) My income is 1 Success per week more or less thanC‘s income.

D: (3)Cis not a Joker.It was rather interesting to notice that the more truthful a man the less was his income. All their incomes were a multiple of 50 Hopes.

Find the tribes to which

A,B,CandDbelong and their weekly incomes.

[puzzle66]

23 August 2017

Posted by on **From New Scientist #1118, 31st August 1978** [link]

It is, I admit, a moot point whether it is better to guess at some of Uncle Bungle’s illegible letters and to hope for the best, or just to leave them out. For some time now I have guessed, but I must admit that my guessing is not what it was, so in this sum anything that is illegible has just been left out. Letters stand for digits, and the same letter stands for the same digit whenever it appears, and different letters stand for different digits. In the final sum all the digits from 0-9 are included.

Write out the correct addition sum.

[puzzle67]

9 August 2017

Posted by on **From New Scientist #1119, 7th September 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. The three teams are eventually going to play each other once — or perhaps they have already done so.

(Two points are given for a win and one 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.

[puzzle68]

19 July 2017

Posted by on **From New Scientist #1120, 14th September 1978** [link]

For some reason Uncle Bungle does not like divisors. This has been left out in the latest division sum which he has produced with letters substituted for digits. Here it is:

Find the divisor and all the digits of the sum.

[puzzle69]

12 July 2017

Posted by on **From New Scientist #1121, 21st September 1978** [link]

The new method of rewarding goals scored in football matches goes from strength to strength. In this method 10 points are given for a win, 5 points for a draw and 1 point for each goal scored. Once can get some idea of the success of the method from the fact that in the latest competition between 5 teams, when some of the matches had been played, each team had scored at least 1 goal in every match. They are eventually going to play each other once.

The points were as follows:

A 11

B 8

C 12

D 5

E 43Not more than 9 goals were scored in any match.

What was the score in each match?

[puzzle70]

21 June 2017

Posted by on **From New Scientist #1122, 28th September 1978** [link]

A couple of one’s, a couple of two’s and a six;

All wrong, all wrong!If only I thought that the puzzle was one I could fix,

I’d sing a song.But as I feel sure that it’s rather too much for me,

My voice is muted.Uncle Bungle’s my name and I fear that you must agree,

I’m rather stupid.So please, I implore,

Continue the fight,

With tooth and with claw,

With main and with might,

To make wrong sums right.The figures given are all incorrect. Write out the whole division sum.

[puzzle71]

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