Puzzles | Math Homework Help

Right Foot Forward

November 20th, 2007 . by Vanaja

A short man takes three steps to a tall man’s two steps. They both start out on the left foot. How many steps do they have to take before they are both are stepping out on the right foot together?

Ans:

Very simple.

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Thirteen teachers are in Paradox, a math conference. When they arrive at the Enigma Hotel to check in, they are told that only 12 rooms are available. Since their school had made reservations for 13 rooms, the teachers are a bit upset that they will have to find another place to stay. As they are preparing to leave and find another hotel, the manager comes out and asks if there is a problem. When she hears of their situation she assures them that the Enigma Hotel has enough space to accommodate each teacher in his or her own room. She takes two of the teachers to room #1 and promises to come back in a few minutes and take one of them to another room. She takes the third teacher to room #2, the fourth teacher to room #3, the fifth teacher to room #4 and so on, taking the twelfth teacher to room #11. She then returns to room #1 and escorts the extra teacher waiting there to room #12. All of the teachers are now happily settled in their own rooms.

Is this possible? Why or why not?

O.K Here is the solution.

Actually, it is not possible. When the manager is putting the 12 th teacher in #11, the 13 th teacher is still waiting there and he or she must go to the #12 room. So, all the rooms are now occupied and in the first room there are two teachers and the teacher waiting there can not go to the #13 room.

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Net Problem

August 29th, 2007 . by Vanaja

The following is the net representation of a cube.

How will you place the letters L, A, F on the figure so that it should spell LEAF around the sides of the cube?

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The Gong

April 11th, 2007 . by Vanaja

If a clock takes 6 seconds to strike 6. How long the same clock take to strike 12.

Can you find the answer?

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Biggest number

March 21st, 2007 . by Vanaja

Can you find the biggest number you can make with three 3s?

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The Chess Board

February 3rd, 2007 . by Vanaja

We all know that a chess board has 64 squares. This can be completely covered by 32 cardboard rectangles, each cardboard covering just 2 squares.

Supposing we remove 2 squares of the chess board at diagonally opposite corners, can we cover the modified board with 31 rectangles? If it can be done, how can we do it? And if it cannot be done, prove it impossible.

Answer

No.It can not be done.

Each rectangle covers one white square and one black square, because on a chess board the white and black squares are always adjacent.

I think now you gor the reason.

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A Puzzling Birthday

January 3rd, 2007 . by Vanaja

I met a girl some days before when I was walking through a park with my children. My children and she became friends and started playing together. I decided to talk to her and during the conversation I asked her age. The smart girl replied, Two days back I was ten years old, and next year I shall be 13. If you know what is taday, you will be able to figure out my age!!!

It took some time for me to calculate her age. What about you?

Solution
The date on which I met the girl was 1st January 2007. The girl’s birthday was on 31st December 1995. So The girl was 11 years old on the date I met her.

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