#241 - Math Logic Riddle

A poor villager grows mango in his land and sells them in the town. The town is 1000 miles away from the village. He has rented a truck for transporting the mangoes to the town. The truck can carry 1000 mangoes at one time and this season, he was able to yield 3000 mangoes.

There is a problem. At each mile till the town, there is a check post at which he must give one mango each while travelling towards the town. However, if he is travelling from the town towards his village, he won’t have to give anything.

Tell a way in which the villager can take highest possible number of mangoes to the town.

Math Logic Riddle
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First of all, he will have to make three trips of 1000 mangoes till 333 miles. After that, he will be left with 2001 mangoes and 667 more miles to go.

Then he must take two trips of 1000 mangoes covering 500 miles more. Doing this, he will be left with 1000 mangoes and 167 remaining miles to reach the town. (He will have to leave a mango behind)

Lastly, he will have to travel the rest of 167 miles with the remaining 1000 mangoes and by the time he reaches town, he will be left with 833 mangoes.

#242 - Who Am I Math Puzzle

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

Who Am I Math Puzzle
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DAVID

Talking in roman numerals,
D = 500
At the center is 5 = V
The first number is I
The first letter of the alphabet is A

Thus they combine to form DAVID.

#243 - Mathematical Rebus Puzzle

what does below mathematical rebus means ?

Mathematical Rebus Puzzle
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glass ceiling

#244 - Hard Number Riddle

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways ?

Hard Number Riddle
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54
7^2 + 2^2 + 1^1
6^2 + 3^2 + 3^2
2^2 + 5^2 + 5^2

#245 - Easy Math Rebus Puzzle

what does the below math rebus puzzle means ?

Easy Math Rebus Puzzle
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ground floor

#246 - Hard Mathematics Expression Puzzle

You are given with six numbers – 1, 2, 3, 4, 5 and 6. You can arrange them in any order and you can use all the four mathematics expression i.e. add, subtract, multiply and divide and also parenthesis. The result must be 278.

There are three other rules
1) You can only use a number once.
2) It is not compulsory to use all the six numbers.
3) You can't join numbers i.e. you can't use 1, 2 and 3 as 123.

Hard Mathematics Expression Puzzle
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(1 + (3 + 4*5)*6)*2

There can be more than one possibilities.

#247 - Solve Mathematical Problem

There are two insects on a tile. Insect X is sitting on one side of the tile (point A) and Insect Y is sitting opposite on the other side of the tile (point B). Now both of them decide to change their position and thus X starts crawling to point B and Y starts crawling to point A. When they meet and pass each other in between, X takes 20 seconds to reach to B and Y takes just 5 seconds to reach A.

Can you calculate the total time each of the insects took to change their positions?

Solve Mathematical Problem
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Assume that P is the speed of Insect X and Q is the speed of Insect Y.
Let T be the number of seconds it takes them to cross paths.
Now Distance = Speed * Time

Thus for Insect X
Distance = P * T before meeting
And Distance = P *20 after meeting

For Insect Y
Distance = Q * T before meeting
And Distance = Q * 5 after meeting

Now the distance travelled by X before meeting is equal to the distance travelled by Y after meeting and vice versa

Thus
P * T = Q * 5
And Q * T = P * 20

Solving both equations, we get T = 10

Thus Insect X requires 10 + 20 = 30 seconds,
Whereas Insect Y requires 10 + 5 = 15 seconds to change the position.

#248 - Rebus Math Riddle

What does this maths rebus means ?

Rebus Math Riddle
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absolutely not

#249 - Famous Trivia Puzzle

Can you tell a 3D object that actually has just two surfaces?

Famous Trivia Puzzle
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Did you think of paper?
Well that will be a wrong answer as a piece of paper has 6 surfaces as the edges are also counted as surfaces only no matter how thin they are.

The correct answer is a cone.

#250 - Horse Wind Puzzle

Emily learnt how to ride a horse recently. Just to test her skills, she rode the horse from her home till a mine which she covered in three minutes and returned back home from the same path only this time she took four minutes. The reason was that while riding away from home, she was supported by wind however while riding back, she was riding against the wind.

How fast do you think she could have rode a mile if there was no wind ?

Horse Wind Puzzle
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3 minutes and 25 5/7 seconds.

The most common way how most of people see this problem is adding 3 and four to obtain 7 and they believe it should give a correct average and thus her time should be taken to 3 and half minutes. But if you do like that, you will get to a wrong answer. This is because, the wind has only helped her for three minutes while it has worked against her for four minutes.
If she could ride a mile in three minutes with the wind, it is evident that she could go a mile and 1/3 of a mile in four minutes. Thus two and 1/3 miles in eight minutes will give her actual speed as the wind has helped her as much as it has worked against her.

Thus her actual time for a single mile without wind will be 3 minutes and 25 5/7 seconds.