Logic states, that if a series of true statements are made, then the resultant conclusion MUST be true.

An example is, if A=b and B=C then it MUST follow that A=C. This is a syllogism.

But, this need not be so.

I give you two examples. Each will give a series of true statements and yet the conclusion is illogical.

Test one

Three men go into a restaurant for a meal. The total bill for their meals is 30. They each place a 10 note and a 1 coin on the plate for their meal and the tip.

The waiter takes the money and places the 3 tip into the tronc box. However, as he goes to the till he realises that he has overcharged them a total of 5 on the meals.

He thinks, "Oh, dear! I can't give them an odd amount of money back. What I'll do is give them each 1 and keep 2 for myself. They'll still be pleased."

So, that is what he does. He gives each diner a 1.

The problem is, that each diner has now paid 9 for his meal, which gives a total of 27. The waiter has 2. Therefore the total cash is 29. But, they gave him 30.

Where is that other 1?

Test two

A shopkeeper has 60 oranges to sell. He decides to sell them at 5 for 60p and get 7.20.

As he is putting the oranges on the counter, he sees that he has 30 large ones, and 30 small ones.

He decides to sell 2 large ones for 30p and 3 small ones for 30p and so keeping the price at 5 for 60p.

When he cashes up, he finds that he has 4.50 for the large ones and 3.00 for the small ones. This gives a total of 7.50.

Thus he has sold his oranges for the same price, 5 for 60p and yet makes 30p more.

How come?

Answers should be written on the back of a 10 note and sent to The Royal British Legion fiddlers!