Enigmatic Code

Programming Enigma Puzzles

Category Archives: puzzle

Puzzle 68: Football and addition: letters for digits

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]

Puzzle 69: Division: letters for digits

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]

Puzzle 70: Football five teams: new method

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   43

Not more than 9 goals were scored in any match.

What was the score in each match?

[puzzle70]

Puzzle 71: All wrong, all wrong

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.

puzzle-71

The figures given are all incorrect. Write out the whole division sum.

[puzzle71]

Puzzle 72: Addition: letters for digits

From New Scientist #1123, 5th October 1978 [link]

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

Write the sum out with numbers substituted for letters.

[puzzle72]

Puzzle 73: A division sum. Find the missing digits

From New Scientist #1124, 12th October 1978 [link]

puzzle-73

[puzzle73]

Puzzle 74: Football (three teams, old method)

From New Scientist #1125, 19th October 1978 [link]

Three football teams (AB and C) are to play each other once. After some — or perhaps all — the matches had been played, a table giving some details of goals, and so on, looked like this:

puzzle-74

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

Find the score in each match.

[puzzle74]

Puzzle 75: C is silent

From New Scientist #1126, 26th October 1978 [link]

The four tribes seem now, for better or worse, to be firmly established on the Island of Imperfection. They are the Pukkas, who always tell the truth; the Wotta-Woppas, who never tell the truth; the Shilla-Shallas, who make statements which are alternately true and false or false and true; and the Jokers, whose rules for truth-telling in making three statements are any rules that are different from those of any of the other three tribes.

In the story which I have to tell about ABC and D there is one member of each tribe. C, I am afraid, does not actually say anything. Can he just be fed-up? I don’t blame him. The other three speak as follows:

A: B is a Pukka;
B: C is a Shilla-Shalla;
D: A is a Pukka;
D: I am a Shilla-Shalla or a Wotta-Woppa;
D: B is a Joker.

Find the tribes to which ABC and D belong.

[puzzle75]

Puzzle 76: Addition: letters for digits (one letter wrong)

From New Scientist #1127, 2nd November 1978 [link]

Below is an addition sum with letters substituted for digits. The same letter should stand for the same digit wherever it appears, and different letters should stand for different digits. Unfortunately, however, there has been a mistake and in the third line across one of the letters is incorrect. The sum looks like this:

Which letter was wrong? What should it be? Write out the correct addition sum.

[puzzle76]

Puzzle 77: Letters for digits: a multiplication

From New Scientist #1128, 9th November 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.

[puzzle77]

Puzzle 78: Football: new method

From New Scientist #1129, 16th November 1978 [link]

Three teams, AB and C are all to play each other once at football. 10 points are given for a win, 5 points for a draw and 1 point for each goal scored whatever the result of the match. After some, or perhaps all, the matches have been played the points were as follows:

A   21
B   20
C    4

Not more than 6 goals were scored in any match.

What was the score in each match?

[puzzle78]

Puzzle 79: Division: some letters for digits, some digits missing

From New Scientist #1130, 23rd November 1978 [link]

In the following division sum most of the digits are missing, but some are replaced by letters. The same letters stand for the same digit whenever it appears:puzzle-79

Find the correct sum.

[puzzle79]

Puzzle 80: Addition: letters for digits

From New Scientist #1131, 30th November 1978 [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:

puzzle-80

Write the sum out with numbers substituted for letters.

[puzzle80]

Puzzle 81: Uncle Bungle and the vertical tear

From New Scientist #1132, 7th December 1978 [link]

It was, I’m afraid, typical of Uncle Bungle that he should have torn up the sheet of paper which gave particulars of the numbers of matches played, won, lost, drawn and so on of four local football teams who were eventually going to play each other once. Not only had he torn it up, but he had also thrown away more than half of it onto, I suspect, the fire, which seems to burn eternally in Uncle Bungle’s grate. The tear was a vertical one and the only things that were left were the “goals against” and the “points” — or rather most of the points, for those of the fourth team had also been torn off.

What was left was as follows:

puzzle-81

(2 points are given for a win and 1 for a draw).

It will not surprise those who know my uncle to hear that one of the figures was wrong, but fortunately it was only one out (i.e. one more or one less than the correct figure).

Each side played at least one game, and not more than seven goals were scored in any match.

Calling the teams ABC and D in that order, find the score in each match.

[puzzle81]

Puzzle 82: A cross number

From New Scientist #1133, 14th December 1978 [link]

puzzle-82

(There are no 0’s).

Across:

1. Each digit is odd and is greater than the one before.
4. The digits are all different and this is a multiple of the number which is 3 greater than 1 down. Even when reversed.
5. A perfect cube.

Down:

1. 17 goes into this.
2. A multiple of 1 down.
3. Each digit is odd and is less than the one before.

One clue is incorrect. Which one?

With which digit should each square be filled?

[puzzle82]

Puzzle 83: Division: some letters for digits, some missing

From New Scientist #1134, 21st December 1978 [link]

In the following division sum, some of the digits are missing, and some are replaced by letters. The same letter stands for the same digit wherever it appears.

Puzzle 83

Find the correct sum.

[puzzle83]

Puzzle 84: A cross number

From New Scientist #1136, 4th January 1979 [link]

Puzzle 84

Across:

1. The sum of the digits is 10.
3. Digits all even.
4. Digits all odd, and each one is less than one before.

Down:

1. The second digit is greater than either of the other two.
2. A multiple of 3 Down.
3. The second digit is greater than the first one.

(One of these numbers is the same as another one reversed and there are no 0s).

This completes the archive of New Scientist puzzles published in 1979.

[puzzle84]

Puzzle 85: Addition: digits all wrong

From New Scientist #1137, 11th January 1979 [link]

In the following addition sum all the digits are 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.

Puzzle 85

Find the correct addition sum.

This puzzle was republished in New Scientist #1316 (29th July 1982) as Enigma 171.

[puzzle85]

Puzzle 86: The worst was first

From New Scientist #1138, 18th January 1979 [link]

A lot of experts did a great deal of hard thinking to produce a new football method designed to encourage more goals and therefore to produce matches that would be likely to be more attractive to the spectators. Under this method 10 points were awarded for a win, 5 points for a draw and 1 point for each goal scored, whatever the result of the match. But it seems that perhaps there was not enough thinking, for in a recent competition between four teams, A, B, C and D, who all played each other once, the team that came first lost all their matches. The result was as follows:

B – 45 points
D – 43 points
A – 39 points
C – 34 points

In the matches between A, C and D not more than 3 goals were scored in any match, and in the matches which B played neither side scored more than 18 goals. Each match that was won was won by a single goal.

Find the score in each match.

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Puzzle 87: Football: letters for digits

From New Scientist #1139, 25th January 1979 [link]

Three football teams (A, B & C) are to play each other once. After some (or perhaps all) of the games had been played a table giving some details of the matches played, won, lost and so on was drawn up. But unfortunately Uncle Bungle has been at it again and he decided to replace the digits 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 looked like this:

Puzzle 87

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

Find the score in each match.

[puzzle87]