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Special Squence Of Numbers

What is special about the following sequence of numbers?

8 5 4 9 1 7 6 10 3 2 0

Special Squence Of Numbers


This is how it's special!

Speciality of Special Sequence


Here is that sequence!

Looking at the special sequence once again.

8 5 4 9 1 7 6 10 3 2 0

If they are spelled as in sequence -

Eight   Five   Four   Nine   One   Seven   Six   Ten   Three   Two   Zero 

Yes, you got it right. They are in an alphabetical order.


Speciality of Special Sequence

The Hiker's Dilemma

A hiker comes across an intersection where three roads cross. He looks for the sign indicating the direction to his destination city. He finds that the pole carrying three city names and arrows pointing to them has fallen. He picks it up, considers it, and pops it back into place, pointing out the correct direction for his destination. How did he do it?

The Hiker's Dilemma


This is how he did it!


Hiker Got The Right Direction


What was the dilemma? 

Since he knew very well from which city he came; he just oriented that arrow in right direction. And obviously hence rest of all arrows are pointed in the right directions as well. This is how he found his right way!

Hiker Got The Right Direction

A Fractional Pink Shade

What fraction of this figure is shaded with the pink color?

Find Area Of A Fractional Pink Shade

Get the answer here!


Author : Ed Southall of Solve My Maths

Area Of A Fractional Pink Shade


A look at the question first!

Let's first recall the formula for the calculation of area of a triangle.

Area of triangle =  1/2 x Base x Height

Let's assume the side of the square is 1.

Now the triangle with the pink shade & triangle opposite to it are similar triangles. Similar triangles are triangle whose sides are in proportion with each other.

Since here base of pink triangle is double of un shaded opposite triangle, the height of pink triangle must be double of that smaller triangle.

But together, heights of both triangles must be equal to side of the square i.e. 1.

And hence, height of smaller triangle must be 1/3 & that of pink 2/3. (h + 2h = 3 ; h = 1/3).

So,

Area of Pink Triangle = 1/2 x Base x Height = 1/2 x 1 x 2/3 = 1/3.

So the area of pink shaded part is 1/3rd of total area occupied by square.



 

Tricky Logical Mathematical Puzzle

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