A blind man had only black or white socks. In his drawer he had 4 socks, and he took out 2 at random. The chance that he had a pair of white socks was 1/2. What was the chance that he had drawn a pair of black socks? Give the probability as a number.
At a college, 70% of the students studied Maths, 75% studied English, 85% studied French and 80% studied German. At least what percentage must have studied all 4 subjects? Give the number of percent.
A football club has 17 players in its squad: 9 English players and 8 foreign players. How many different teams can be selected if each team has 5 English players and 6 foreign players?
A has thought of a number between 13 and 1300, and B is trying to guess it. (1) B asks whether the number is below 500; A says "yes". (2) B asks whether it is a perfect square; A says "yes". (3) B asks whether it is a perfect cube; A says "yes". Then A says: "Only two of my answers are correct." A also says: "The number starts with 5, 7 or 9." B now knows the number. What is it?
A cricket team used 16 players during the season. Each player's total score for the season was a palindromic prime number (a prime that reads the same both ways), and no two players had the same total. The average of the 16 totals is a 3-digit number whose three digits are all the same. The lowest total was 11. What was the average total?
A farmer told his labourer to pick 896,809 apples and pack them into as few boxes as possible, each box holding the same number of apples (more than one box, and more than one apple per box). How many boxes did he use?
A correspondent writes 7 letters and addresses 7 envelopes, one for each letter. In how many ways can all of the letters be placed in the wrong envelopes?
Five suspects are questioned; exactly one of them is guilty. Each makes one statement, and exactly three of the five statements are true.
Uncle Jack: Uncle Jim committed the murder.
Aunt Mary: I did not do it.
Cousin Stewart: It was not Cousin Margaret.
Uncle Jim: Uncle Jack is lying when he says I did it.
Cousin Margaret: Aunt Mary is telling the truth.
Who committed the murder?
How many mistakes (spelling, grammar or word usage) can you find in this passage?
In the town their were shops of every descrption, but the biggest shop was stocked with such things as lawn mower's and garden tools. Two shops were managed by Stan and Bert, the son-in-laws of a town counsillor. Stan sold objects d'art, while Bert's shop was stocked with electricle goods. In the High Street their was a seathing mass of people and vehicls. At the end of the street was a monument in commemoration of the local boys who were killed in the the last war.