Enigmatic Code

Programming Enigma Puzzles

Tag Archives: by: Eric Emmet

Enigma 452: Figure out these letters

From New Scientist #1603, 10th March 1988 [link]

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

Write the sum out with numbers substituted for letters.

[enigma452]

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Puzzle 46: I lose my specs

 From New Scientist #1097, 6th April 1978 [link]

In the division sum below letters stand for different digits. But unfortunately I did not have my specs with me when I copied it out and discovered later that I had made a mistake. One letter was wrong on one of the occasions when it appeared.

Find the incorrect letter, and rewrite the sum with the letters replaced by digits.

[puzzle46]

Puzzle 48: Verse on the island

From New Scientist #1099, 20th April 1978 [link]

We live, we three, on the Imperfect Isle,
Where all is not just what it ought to be.
One is a Wotta-Woppa and he never
Tells what is true, in fact a liar he.

And then there is another one who cannot
Make up his mind. Oh, shall I tell a lie?
He is a Shilli-Shalla, and makes statements,
One true, one false. But which? The constant cry.
The third one is a Pukka and we find
Nothing but truth comes from the third man’s mind.

Single figures all our dwellings,
And each one is different.
Three statements each, so read with care
And use your loaf to find what’s meant.

A:

(1) First let me say no Shilli-Shalla I,
But I’m afraid I cannot tell you why!
(2) Then I point out that where numbers are concerned
The lower the truer; that’s the fact for which you yearned.
(3) Thirdly, no tricks,
My number’s less than six.

B:

(1) and (2) A Pukka, I, and live at number one.
That’s two statements in a single line.
(3) Perfect, you might say, but not as perfect as C‘s square.

C:

(1) A and B live on either side of me.
(2) Who is the Wotta-Woppa? Why it’s B.
(3) And now our verse
Has done its worst.
Just to finish with a wink,
To get this right you’ll have to think.
And with a nod,
A‘s number is not odd.

Where do AB and C live and what are their tribes?

[puzzle48]

Enigma 448: Spoiling the division

From New Scientist #1599, 11th February 1988 [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.

Find the correct sum.

[enigma448]

Puzzle 47: Digits all wrong

From New Scientist #1098, 13th April 1978 [link]

In the following addition 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.

Find the correct addition sum.

[puzzle47]

Puzzle 49: Division

From New Scientist #1100, 27th April 1978 [link]

In the following long division sum, some of the letters are missing and some of them are replaced by letters. The same letter stands for the same digit whenever it appears and different letters stand for different digits:

Write out the complete division sum.

[puzzle49]

Enigma 444: Rows and rows

From New Scientist #1595, 14th January 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.

[enigma444]

Puzzle 50: Football and addition

From New Scientist #1101, 4th May 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 whenever it appears and different letters stand for different digits. The 3 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 score in the football matches and write the addition sum out with numbers substituted for letters.

[puzzle50]

Puzzle 51: A multiplication

From New Scientist #1102, 11th May 1978 [link]

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

You are told that A is not greater than 5.

Find the digits for which the letters stand.

[puzzle51]

Puzzle 52: Football on the Island of Imperfection

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 AB and C in 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]

Enigma 440: Three X

From New Scientist #1590, 10th December 1987 [link]

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

Find the correct sum.

[enigma440]

Puzzle 53: Addition

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]

Enigma 436: Sixes and sevens

From New Scientist #1586, 12th November 1987 [link]

Six football teams — A, B, C, D, E and F — are to play each other once. After some of the matches have been played a table giving some details of the matches played, won, lost, and so on looked like the one shown here.

Enigma 436

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

Find the score in each match.

[enigma436]

Puzzle 54: Football

From New Scientist #1105, 1st June 1978 [link]

Three football teams — AB and C — 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]

Puzzle 55: A division with all figures wrong

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

Find the correct figures.

[puzzle55]

Puzzle 56: Addition

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 one 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 the one wrong letter).

Find the mistake, and write out the correct addition sum.

[puzzle56]

Enigma 431: Error in the code

From New Scientist #1581, 8th October 1987 [link]

In the addition sum below, letters have been substituted for digits. It was Uncle Bungle’s intention, when he made this sum up, that the same letter should stand for the same digit wherever it appeared, and that different letters should stand for different digits. Unfortunately, however, he made a mistake, and one of the letters is incorrect.

Write out the correct sum with digits substituted for letters.

[enigma431]

Puzzle 57: Football letters for digits

From New Scientist #1108, 22nd June 1978 [link]

Four football teams (ABC and D) 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]

Puzzle 58: Letters for digits

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]

Enigma 427: Settle some new scores

From New Scientist #1577, 10th September 1987 [link]

Football teams A, B, C and D are having a competition against each other, under a new method which has recently become popular. Under this method, 10 points are awarded for a win, 5 points for a draw, and 1 point for each goal scored. The situation when all but one of the matches had been played was as follows:

A, 9 points; B, 2 points; C, 24 points; D, 34 points.

Each side scored at least one goal in every match, but not more than seven goals were scored in any match.

Find the score in each game.

[enigma427]