A farmer wants to sell sheep at a fair which lies on the other side of the hill under which he lives. In order to get there in time, he needs to travel at an average speed of 60km/h. The road is 10km up the hill and 10km down the hill. However, his car can […]
Dad wants one-cent, two-cent, three-cent, five-cent, and ten-cent stamps. He said to get four each of two sorts and three each of the others, but I’ve forgotten which. He gave me exactly enough to buy them; just these dimes. How many stamps of each type does Dad want? A dime is worth ten cents. AnswerThe
You have a group of eighty-two men. Some of the men are tall, the number of the medium-height men is double that of the tall men and the number of the short men is triple that of the medium-height men and one man is very tall. You know that all tall men are bald but
A bookworm eats from the first page of encyclopaedia number 1 to the last page of encyclopaedia number 5. The bookworm eats in a straight line. Each encyclopaedia consists of 400 pages. Each leaf is 0.01 inch thick and each cover is 0.25 inch thick. What distance does the bookworm eat through? AnswerThe bookworm nibbles
Peter had 144 books and donated them to four schools. When Peter checked the number of books given to each school, he found out that the difference of the number of books between School A and School B was 4; between School B and School C was 3; between School C and School D was
The Principal of Jimbo’s school interviewed 30% of the 8th graders at recess about the food fight yesterday. The Assistant Principal grabbed 40% of the 8th graders at lunchtime to investigate the disappearance of all of the blackboard erasers. Fortunately for Jimbo, he was in the 50% of the 8th graders that escaped without an
Two cars circumnavigate the world. Time is kept as they pass each other, travelling in opposite directions at the same speed of 70 miles per hour. The only difference is that one car is travelling on the surface of the planet, while the other is on a roadway 15 feet above ground.Assuming the world is
Two years ago, a problem surfaced at the Romankachi Pharmaceuticals Ltd. – one of the many companies belonging to the huge Romankachi conglomerate.We were devising a three digit id (non-zero first digit) for the employees such that no two employees can have id’s that are identical when written in the reverse order. For example, 123
Fred took a ball that has a 13-inch diameter and drilled a circular hole through the centre of it. The hole was 5 inches wide, but how deep is it? Answer12 inches.To solve this one, we can use the work of Pythagoras. If we draw the ball and hole from the side, they look like
A frog fell into a well that was 12 feet deep. It could jump three feet, but every time it did, it would fall back two feet. How many times did the frog have to jump before it got out of the well? Answer10… on the 10th jump it reached 12 feet and was out.
In the legendary country of MADADIA there was an unscrupulous factory owner called “Nastee O’Baskit”. He paid his workers only £2 a day, but would fine them £3 a day if he caught them sitting down. After 30 working days (not including weekends) one of his workers received his wage packet, which was empty. When
A collector of antique lamps bought two lamps, and then, discovering she was short of money, immediately had to sell them again. She sold each lamp for $600. On one of the lamps she made 20% and on the other one she lost 20%. Did she make or lose money on the whole deal? How
In each of the problems below, you need to determine what stamp denominations you need to provide postage from 1 cent up to the given amount, using no more than three stamps per letter.For example: which two different stamps are needed to provide postage from 1 to 7 cents using no more than three stamps
The 10″ pizza sells for $3.99 at my favourite pizza store. The store claims they have a great deal on the large 12″ pizza, which is specially priced at $ 4.31. What is the per cent discount the store is offering? Answer25The small pizza has a diameter of 10″ and therefore, an area proportional to
My bath has two taps and a plug hole. The cold tap on its own fills the bath in 15 minutes, the hot one in 6 minutes. The plug hole can drain the bath in 30 minutes with the taps off. How long will the bath take to fill if I leave both taps on