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Showing posts from April, 2019

Trip Around The Earth

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Professor Fukano plans to circumnavigate the world in his new airplane. But the plane's fuel tank doesn't hold enough for the trip—in fact, it holds only enough for halfthe trip. But with the help of two identical support planes (which can refuel him in mid-air) piloted by his assistants Fugari and Orokana, the professor thinks he can make it in one trip. But since all three planes have the same problem of limited fuel, how can they work together to achieve the professor's goal without anyone running out of fuel?

1. The professor's plane must make a single continuous trip around the world without landing or turning around.

2. Each plane can travel exactly 1 degree of longitude in 1 minute for every kiloliter of fuel. Each can hold a maximum of 180 kiloliters of fuel.

3. Any plane can refuel any of the others in mid-air by meeting at the same point and instantly transferring any amount of fuel.

4.Fugari and Orokana's planes can turn around instantaneously witho…

For The Journey Around The Earth

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First read T&Cs of the journey!

Let's assume that the only airport mentioned is located at the top of the earth. 

Recollect all the data given.
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1. The professor's plane must make a single continuous trip around the world without landing or turning around.

2. Each plane can travel exactly 1 degree of longitude in 1 minute for every kiloliter of fuel. Each can hold a maximum of 180 kiloliters of fuel.

3. Any plane can refuel any of the others in mid-air by meeting at the same point and instantly transferring any amount of fuel.

4. Fugari and Orokana's planes can turn around instantaneously without burning fuel.

5. Only one airport is available for any of the planes to land, take off, or refuel.

6. All three planes must survive the experiment, and none may run of fuel in mid-air.

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As per (2), since each plane travel 1 degree of …

Test if You Are a Genius!

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People’s Daily,China tweeted out this math puzzle in which each picture represents a number.

The question reads,

"Are you a math genius? Test your brain with this Chinese math puzzle. Did you get it right? (HINT: The correct answer is 16)"

Solve if you can!





Did you figure out how correct answer is 16?

Did You Prove Yourself Genius?

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Look at the question first!

Let's take a look at the puzzle again.




First thing, we should observe in such puzzles that how objects in the question equation differs from those in given equations.

Here, pair of the sneakers appears as it is in the question while pair of whistles reduced to 1 whistle in question.

And if we look closely the cat, the whistle around the neck is missing in the question.

Now from equation (1), pair of sneakers = 10.

From equation (2), Cat = 5.

From equation (3), 2 whistles = 4; hence 1 whistle = 2.

Here, we can deduce that cat without whistle in question is CAT - WHISTLE = 5 - 2 = 3.

So the equation in question comes out as, 10 + 3 X 2  = 10 + 6 =16.



The Green-Eyed Logic Puzzle

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In the green-eyed logic puzzle, there is an island of 100 perfectly logical prisoners who have green eyes—but they don't know that. They have been trapped on the island since birth, have never seen a mirror, and have never discussed their eye color.

On the island, green-eyed people are allowed to leave, but only if they go alone, at night, to a guard booth, where the guard will examine eye color and either let the person go (green eyes) or throw them in the volcano (non-green eyes). The people don't know their own eye color; they can never discuss or learn their own eye color; they can only leave at night; and they are given only a single hint when someone from the outside visits the island. That's a tough life!

One day, a visitor comes to the island. The visitor tells the prisoners: "At least one of you has green eyes." 

On the 100th morning after, all the prisoners are gone, all having asked to leave on the night before. 


How did they figure it out?


Here…

The Green-Eyed Puzzle Solution

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Here is that Puzzle!

Nobody is going to dare to go the guard unless he is absolutely sure that he is greeneyed; otherwise it would be suicidal move.

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For a moment, let's assume there are only 2 prisoners named A & B trapped on island.

On first day, A is watchinggreen eyed B & B can seegreen-eyed A. But both are not sure what is color of their own eyes. Instead, A(or B) waited B(or A) to escape from island since he is green-eyed. Rather both are sure that other too doesn't know anything about color of own eyes.

On next morning both see each other still on island. Here is what A thinks.

If I wasnon green-eyed then B would have realized that the person pointed by visitor in his statement ('at least one of you have green eyes') is himself. Hence, B would have realized that he is green-eyed & could have escaped easily. Since B didn't try to escape that means I too must havegreen e…

Crack 'This' Logic!

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IF

1   1   1   1    =  R

2  2   2   2   =  T

3  3   3   3   = E

4  4   4   4   = N

Then

5  5   5   5   =  ?




Skip To The Answer!

Cracked 'THAT' Logic!

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Or look at the question first!


 Let's have a look at the given equations once again.

1   1   1   1    =  R

2  2   2   2   =  T

3  3   3   3   = E

4  4   4   4   = N

If rewritten after adding numbers & addition is spelled then,

1   1   1   1    =  FOUR

2  2   2   2   =  EIGHT

3  3   3   3   = THREE

 4  4   4   4   = SIXTEEN

 Clearly, last letter of spelling is taken.

Hence,


5  5  5  5 = TWENTY

5  5  5  5 = Y  


Correct The Incorrect

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Just move 1 match stick to correct the equation.









Find here how to correct it!

Correcting The Incorrect

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What was the wrong?

All we need to do is move 'this' pointed match stick.



Now it looks like -

This is now correct equation. Isn't it?

Special Squence Of Numbers

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What is special about the following sequence of numbers?

8 5 4 9 1 7 6 10 3 2 0



This is how it's special!

Speciality of Special Sequence

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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.



The Hiker's Dilemma

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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?



This is how he did it!


Hiker Got The Right Direction

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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!

A Fractional Pink Shade

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


Get the answer here!


Author : Ed Southall of Solve My Maths

Area Of A Fractional Pink Shade

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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.



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