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Each month, a new set of puzzles will be posted.  Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.

Puzzle One

Each of the four symbols stands for a difference number. In order to satisfy the totals at the end of each row, each column and the diagonal, find the value of the heart, club, diamond & spade symbols.. To do this, you will also need to determine the symbols that are required to replace the three ? symbols.

Puzzle Two

A school security door code is a 5-digit number. The digits are ordered from highest to lowest and their product ls 336. What is the sum of the five digits?

Puzzle Three

In my office desk, the number of pencils and pens was in the ratio 4 to 5 (4 : 5). I t took out a pen and replaced it with a pencil and now the ratio is 7 to 8 (7 : 8). What is the total number of pencils and pens in my desk?

Feedback

There are more than one way of doing these puzzles and may well be more than one answer.  Please let me and others know what alternatives you find by commenting below.  We also welcome general comments on the subject and any feedback you'd like to give.

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Last month's solutions

Click here to download the printable version

Puzzle One

How many ways or routes are there traveling from A to E which do not go through either of points B, C, or D more than once per way/route?


Solution: There are 3 different ways/routes to get from A to B, 6 ways/paths to get from B to D and 3 ways from D to E. So the total number of different ways/routes from A to E is equal to 3 x 6 x 3 = 54 different ways/ routes

Puzzle Two

A professor gives a set of three difficult maths questions to the most brilliant students at his university.  To his surprise, there are different answers by all three of the students. Their answers were as follows:

Student X Student Y Student Z
Q1. Two Q1. Two Q1. One
Q2.  Six Q2. Three Q2. Three
Q3. Two Q3. Infinity Q3. Two

With these answers and knowing that each of the students has given one answer wrong, can you find out the real answers to the three questions?

Solution:

Knowing that each student gave one answer wrong, this means that each one of them gave two answers right.

Let us assume that Student X gave a wrong answer to the first question. This will mean that Student Y also gave a wrong answer for the first. This will conclude that the rest of the two answers given by them are correct. However, the answers are different and thus it is not possible.

Then both Student X and Student Y must be right with the first question and the answer to the first question is two.

If you keep applying the same logic to questions 2 and 3, you will conclude that the following answers are the correct answers:

Q1. Two

Q2. Three

Q3. Two

Puzzle Three

In the 3×3 matrix below and using numbers 1 through 9 (only once), solve the puzzle considering the following clues:

  1. The sum of each of the three rows is the same value.
  2. The sum of each of the three columns is the same value.
  3. The sum of each of the two diagonals is the same value.
A B C
D E F
G H I

Solution: 

8 1 6
3 5 7
4 9 2

Note: This puzzle is one of a group called ‘Magic Squares’ by being able to sum 15 in all directions – rows, columns and diagonals.

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