At least one of the labels is true and at least one is false. Only one tin contains beans – which one?

They are in here

They’re not in here

They’re not in the middle

At most one of the labels is true. Only one tin contains beans – which one?

They’re not on the left

They’re not in here

They are in here

None of these labels are on the correct boxes. Without looking inside, you may take a single sample from a single box. Would you be able to correctly relabel the boxes?

Nails Nails & Screws Screws

It takes 5 seconds for Big Ben to strike ‘6’.

How long does it take to strike ‘12’?

Three logical men have playing cards stuck to their foreheads without seeing them. They are to raise their hands if they can see a red card. The winner is the first person to correctly deduce what colour his card is.

All three raise their hands. After a pause, one of them says “I know what colour my card is”. What colour is it, and how does he know?

Maths teachers always tell the truth;Politicians always lie. Everybody knows this. At a conference with a delegation of Maths teachers and another of politicians, the signs to the Ladies and Gentleman’s toilets are missing. Everyone at the meeting knows which door is which, but I don’t know who is a teacher and who a politician.

I’m in a hurry, so what single question can I ask someone to find out which to use?

Two trains, 200 km apart, are moving toward each other at the speed of 50 km/hour each. A fly takes off from one train flying straight toward the other at the speed of 75 km/hour. Having reached the other train, the fly bounces off it and flies back to the first train. The fly repeats the trip until the trains collide and the bug is squashed.What distance has the fly traveled until its death?

Time taken for trains to meet:2 hoursSpeed of fly:75km/hDistance travelled by fly:150km

You have two lengths of fuse-wire. Each wire, when lit from one end, will burn for exactly an hour.

How can you use the wires to measure exactly 45 minutes?

Note: The wires will not necessarily burn at a regular rate, so cutting in half won’t give you half an hour’s burn.