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Logic Puzzles

Bars n Dots

Your task is to draw a continuous line through the image shown following a few basic rules:

You must turn east 4 times and turn west 5 times during your route to the finish.
You cannot cross a bar between any circle
Start at point A and end at point A.
When your route is complete, you must have all the orange circles surrounded by your line
You can cross the corridors as often as needed but you are not allowed to travel along them.

Odd One Out

Figure out which is the odd one out.

Marbles

Here we have 6 containers, half of which are holding a number of marbles. You need to arrange them so that the empty containers alternate with the ones holding marbles. Can you do it moving just one container?

Circles and Squares

Sharpen your logical senses by getting your head around this simple little problem. See if you can decide on which of the five states shown (A to E), at the bottom is the correct final state missing at the end of the sequence above.

7 Stars

Here is a grid containing 7 stars of varying colours. The rows are indicated by numbers and the columns by letters.

Your task is to place more stars into the grid in such a way that every row and every column has one of each coloured star. Also, the outlined compartments must contain one of each star too.
See if you can complete the grid.

Logical Steps

Terry, Ron, Giles; and the ladies, Gwen, Ruby and Tina. All of them avid dancers and indeed, they were all good enough for the national championships. They were perfecting their dance routines for the event and they all worked hard.

Terry worked very hard, Giles knew this, in fact Terry would train ten hours more than he did, but he didn’t think he needed it – his speciality was the Tango; he loved it and Terry didn’t. Gwen and Ron perfected their Waltz, while Tina and her partner practiced their discipline, no one was exactly sure what that was, but it wasn’t the Cha-cha.

We know one partnership trained for 10hrs, another for 15hrs and the last for 20hrs. We also know that the dance styles covered by them are the Tango, Waltz and Cha-cha.

So can you tell us three things:

1. Who partnered who?
2. How many hours a week did each partnership train?
3. What were their dance styles?

Switches

Here’s a chance for you to play with the lights!

When the switches are thrown in sequence, D,C,A and B, the result is that Fig.1 turns into Fig.2, so one of the switches is not working at all. Determine which swicth is faulty.
Then, having determined which switch doesn’t work, what sequence of switches will you use to get the lights back to their original state? (All the working switches must be used at least once).

Switch A turns lights 1 and 2 on/off or off/on
Switch B turns lights 2 and 4 on/off or off/on
Switch C turns lights 1 and 3 on/off or off/on
Switch D turns lights 3 and 4 on/off or off/on

Tile Fit

Your task here is pretty straightforward. You need to place 24 tiles into the grid provided so they all fit snugly within the boundaries. The two blue fixer tiles cannot be moved or rotated.

Six of each of the coloured tiles shown below the grid must be placed in such a way that no tile of the same colour is adjacent to it, even diagonally. The only exemption is around a fixer tile.

You may notice that each fixer tile has a different colour on every side, you cannot place a tile against the side of a fixer tile with the same colour, but it is okay for an adjacent fixer side to be of the same colour. So for example, you can place a red tile against the blue side of a fixer, even though the red side of the tile is adjacent to it.