# How Logical are You?

Logic. What is it? Philosophy? Mathematics? Or something else? Do not confuse reasons which sound good with good, sound reasons. Can you tell those apart?

When presented with a Rubik's Cube, would you be able to solve it? Can you see faults in philosophical reasoning? Never mind all that. The question is: are you logical?

Created by: Zao
1. In a competition, all entrants may pick any number between 1 and 100: the entry that is closest to two thirds of the mean shall win. Which of the following would you pick?
2. On a desk are the cards: A, J, 3 and 8, with either a number or letter on the reverse side. You are given the rule: 'If a cards has a vowel on one side, then it has an even number on the other side.' To judge the correctness of the rule, which of the above cards would you turn over?
3. Which two of the following statements are logically equivalent? i)If A and B are both true, then C is true. ii)If A or B is false, then C is true. iii)If C is false, then A and B are both false. iv)If A and B are both false, then C is true.
4. Which of the following negates this statement:'All horses are fast'?
5. Is the following a statement? This statement is false.
6. There are three statements, A, B and C. What is equivalent to A implies (B implies C), otherwise written as A=> (B=>C)?
7. Which is the odd one out?
8. Prime Minister John Major famously said that: 'If it isn't hurting, it isn't working'. What is wrong with this statement logically?
9. Aaron and Bert have quarrelled, and decided to settle their differences by a duel to the death, using bazookas.At the beginning, they are 600m apart, and walk towards each other at the same speed. One hit is sufficient to kill, and that the chances of hitting increases linearly as the distance decreases. Each bazook is armed only with one round. Aaron know that Bert is 100% more accurate than he is - when should he open fire?
10. A card game is played only with the cards J, Q, and K. You have only one opponent, and the higher card wins. You are dealt a Q, and are to act first; your opponent has already automatically put £1 into the pool. You should:
11. A certain gameshow consists of a contestant picking randomly one out of three mystery boxes, with two being empty and one having £200 inside. The host then takes away a box with no prize in it, then the contestant has the chance to switch or keep the box he already has. If he switches and wins, he would have to pay a £50 fee, which goes to charity. Should he switch or not?

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Quiz topic: How Logical am I?