Tag: math & puzzles

A 26" x 26" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 27 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?

Haretown and Tortoiseville are 33 miles apart. A hare travels at 9 miles per hour from Haretown to Tortoiseville, while a tortoise travels at 2 miles per hour from Tortoiseville to Haretown. If both set out at the same time, how many miles will the hare have to travel before meeting the tortoise en route?

Last weekend, I went to play in the nearby park. It was real fun! I rode my new bicycle that Mom had gifted me on my birthday. On reaching the park, I saw that there were a total of 12 bicycles and tricycles. If the total number of wheels was 30, how many tricycles were there?

Dad gives you money every day to put in your new piggy bank. He gives money to you in such a way that the money in the piggy bank doubles with each passing day. If you already have 1 cent in the piggy bank and Dad gives you 1 cent the first day, 2 cents the second day, 4 cents the third day and so on, then your piggy bank gets full on the 13th day. 1. On which day will your piggy bank be half-full? For example, type 6 if your answer is 6th day.

Can you find a quick and elegant way to add the numbers from 1 to 36 ? In other words, what is the sum you obtain in the following case: 1 + 2 + 3 + ....... + 36 =

A snail creeps 6 ft up a wall during the daytime. After all the labor it does throughout the day, it stops to rest a while... but falls asleep!! The next morning it wakes up and discovers that it has slipped down 2 ft while sleeping. If this happens every day, how many days will the snail take to reach the top of a wall 74 ft in height?

Last vacation, my cousin came over to stay at my home. We made the most of her stay at my place... and I even earned a few chocolates. Everyday, we would play a game of chess. Whoever lost the game owed a chocolate to the other. After the last game we played (that was the day she was to leave), we counted the number of games each of us had won and lost. Wow! I had won more than her. So, she handed me 18 chocolates... though she herself was the winner in 9 games. How many days did my cousin spend at my place?

There is a number that is 3 times the sum of its digits. What is this number?