Tag: math & puzzles

A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ?

The Pink Wooden Block:

The Bird and the Train:

Gold Coins:

Unique Numbers:

Spiders on the Web:

The distance between Station Atena and Station Barcena is 84 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels in the following two cases: a. the bird flies at 80 miles per hour and the speed of the train is 60 miles per hour b. the bird flies at 60 miles per hour and the speed of the train is 80 miles per hour

A block of wood in the form of a cuboid 3" × 9" × 12" has all its six faces painted pink. If the wooden block is cut into 324 cubes of 1" × 1" × 1", how many of these would have pink paint on them?

"Dad, where had you been?" asked Jack. "I had been to the attic, my son," replied Dad. "And do you know what I saw there? There was a big web with 21 spiders and flies on it." "How many spiders were there?" asked the little boy with curiosity. "Well, there were a total of 132 legs on the web," answered Dad with a smile. "Now you can find out how many spiders were there by yourself. Can't you?" Can you help the little boy find out how many spiders were on the web in the attic?

There is a number that is 5 times the sum of its digits. What is this number?