Numbers speak more than words

Hello LLs,
We all are the kind of people, who find a rare kind of interest towards Numbers. We feel like these digits are trying to talk to us. These numbers are trying to speak their sides of stories. That is the power of logic. We try to see what is beyond the mere visibility. For the sake of this interest towards numbers, I am today going to present you a puzzle which has only numbers in it. These numbers are trying to speak their side of story. Just try to listen to their words. I am sure, you will find what you are looking for.
Tip: Don't over-think yourself. The answer is lying in front of you. I can see it right there, staring at you, screaming the logic behind their positions. Try to reach to the answer now.

Puzzle: Use any mathematical sign in between these numbers - to prove these operations mathematically correct.

2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

If you are finding numbers much more interesting and want to try some more puzzles of this kind. Find them here:

Apples Car-Number Bodmas with his students

Fresh and Dry Grapes

Food we eat everyday, contain pulp as a material of different vitamins and there is water in it.
Now, considering watermelon, it contains around 96% of water in itself. So, the remaining 4% is the content. This content percentage keeps changing with the evaporation of water from the fresh fruit. The puzzle we are talking about today is based on this concept only.

Puzzle: Fresh grapes contain 90% water in themselves. The remaining 10% is the content. We need to make dry grapes from these fresh grapes. In dry grapes, the ratio of water to content changes drastically, as water evaporates. Now, consider the percentage of water in dry grapes is only 20. ie, Dry grapes contain 80% content and 20% water.
You are given with 20kg of fresh grapes. You are supposed to make dry grapes from these fresh grapes. How many kg of dry grapes can you make from these fresh grapes?

The puzzle is based on ratio and proportion concepts. Even if, you don't remember these concepts, you can still try to answer them, with mere logic.

If you find this area of puzzles interesting, you can also try these puzzles:
 Heavy or Light

Apples

My favourite puzzle:

An apple a day keeps the doctor away." This was just a fact to start the puzzle with.
Without roaming around the knowledge regarding the facts, I will come directly to the puzzle.

There is a city A, which produces apples in a large quantities. So, they export those apples to city B. Where, there is a huge need of apples. City A has 3000 apples ready to be exported to other cities. Now, there is one truck available at point A. Which has the capacity of 1000 apples. The distance between city A and B is 1000 miles. So, you have a task to use this truck to export these apples to 1000 miles away.

But, the truck driver is addicted to apples and he eats apples if available with him. He consumes one apple every mile he drives. So, how many apples can you manage to transfer from city A to city B? You can stop for any number of times in between.

The answer is completely logical. Correct answer is neither 3000 nor zero. So, think about it logically. You will definitely reach to answer as near as possible. All the best to you all. Solve this puzzle. This puzzle is not an easy one. It is tough but solvable.

3000 is not the solution, as you are not supposed to stop at every 0.99 miles to prevent driver from eating apples. Think logically. Stop at only integer number of miles. And, reach to the answer. (To omit this case only, I had written 3000 is not the answer.)

The different ball in terms of weight

Cricket, Football, Volleyball, Tennis, Baseball and many other games are incomplete without the balls. Now, think that certain number of one of these kind of balls are here with you. All these balls are supposed to have same weight. But, due to malfunction in producing of one ball, its weight is more than all other balls.
You are given 80 seemingly identical tennis balls, but one of them weighs slightly more than the others. You are given with a weight balance and are supposed to have a  number of tries to find the one ball with the heavier weight. You have to use minimum number of attempts to get to this heavy ball. Consider only worst case scenario. Ie, you are not supposed to think that you will find the heavier ball in only one attempt. Consider all the scenarios together. This is the kind of puzzle, which requires a certain amount of hard work to reach to the answer. The number of balls is a big number.

But, if you can not work with this huge number, try to work with smaller number of balls. For example, start solving with 12 balls or 20 balls. And, try to find the logic behind all these kind of riddles. You will surely get the logic which is true for any number of balls given. Find that logic and then you will be able to solve this kind of puzzle with any number given - no matter whether it is too big or too small. You will be able to solve that puzzle. All the best for solving this puzzle. Try hard, harder and hardest. Don't try to surf the answers through Internet, as this kind of puzzle will definitely be available to you with solution on Search Engine. Try to solve this interesting puzzle by yourself.

Numbers Test

We all being Logic Lovers, seem to have some out of the world relation with numbers. We behave as if numbers are talking to us. We feel modifying numbers and twisting numbers - an art as well as an adventure. So, for this kind of interest, I am here with some questions regarding the numbers, which with the help of simple logic, you will be able to answer. The questions, I am going to ask today will surely twist your brain nurves. These questions are mere IQ questions, but some of these questions require extended thinking, which is not so common in general audience. So, not wasting too much time, I directly come to the questions.
-> What are the number of squares present on the chess board? To clarify the question, we see 32 black and 32 white squares on the chess board. But, by combining certain squares, we start getting bigger squares too. ie, squares of 2 X 2, 3 X 3 and so on. So, you are supposed to answer the total number of squares, we can get on the chess board.
-> There is a cuboid given with length l, breadth b and height h. Now, by stratching on these three dimensions, I create another cuboid. I increase the length of cuboid by 10%,, breadth of cuboid by 15% and height of cuboid by 20%. You are supposed to tell me the change in the volume of this cuboid. Now, consider a cube with all three dimensions, L, L and L. Now, if I increase these three dimensions by 10%, 15% and 25%. What is the change in the surface area of this cube?
-> In the world of natural numbers, there are three numbers as such, the addition of these three numbers is equal to the multiplication of these numbers. What are these three numbers?

These three questions can be used to measure your command on the numbers.
ie,
1. If you get all three questions correct, you are thorough with the concepts related to numbers.
2. If you get two out of three questions correct, you are better than 95% of the general audience.
3. If you get one question correct, you are better than 75%  of the general audience.

These percentages are defined with the help of a survay on fifty persons taken of different genre. So, it can be used on a larger scale too.
If you reach to answers, comment those answers below this post. I am eager to know your capabilities. You can also ask these questions to your friends with the help of Sharing options available. All the best to you all. I am looking forrward to your answers.

Answer is not 1 in 2

The probability is considered as a toughest concept of mathematics to understand. As, we can't relate this concept to a real world problems. As, the probability of raining today will be lying between 0 and 1 on any day. So, the probability will be lying between the maximum and minimum value. So, if probability of raining is 0.7, it can mean that there are more chances of raining today. But, this doesn't assure anything whether it will rain today or not. This is the reason of probability being tough concept to understand at a naive man's level. Today, I am here with puzzle of this out of the world concept of mathematics. You are here supposed to use the concept of Probability only. If you don't know about probability, do not worry. Try to solve it with the help of simple logic. Just twist the words given in the puzzle and reach to the answer.
Question:
There is a bag which contains one stone of unknown colour, either black or white. Now, you add a white stone into the bag. Now, shake the bag for a few moments and then take out one stone from the bag. The stone taken out turns out to be a white stone. Now, you are supposed to answer about the chances of the remaining stone being white. You have to answer, the probability of getting the remaining stone - white. If you reach to the answer, or have any problem reaching to the answer, comment onto this post. I will be there to help you with all ways possible. All the best.

The Mother Earth and Steel Band

Imagine the mother Earth as a sphere which is completely made with the help of iron and is having a stainless steel band around the equator line against the surface. Now, you are supposed to cut this steel band and one foot is added to this stainless steel band's length. Then again it is positioned against equator. Now, there will be some distance in between the equator and the band due to increase in length. You keep this band as it can be equidistant from the surface of this surface all the way around. (Still it is at the equator only.)
You just are supposed to answer the question: How much space would be there between this stainless steel band and the surface of the sphere? Will it be enough to slip a kerchief? Or will it be able to pass a pencil from between the surface and band? The question needs logic but also is using some concepts of geometry. You can reach to the answer, if you try to answer it with the help of doing some experiment of same kind on a smaller figure. Then continue this experiment with somewhat bigger figure and trace the correlation behind these two experiments to the sphere of size of the Earth.
You will reach to the answer.
Now, think that the sphere is not of the size of Earth, but it is having the size of the Sun. What will the distance between this stainless steel band and the surface of the Sun?
Some facts, if required:
Radius of Sun: 695800 km
Radius of Earth: 6371 km
All the best to you all for solving this puzzle. Comment here, when you reach to the answer.  Or, comment even when you face some difficulties solving this puzzle. I will be happy to help you in all the ways possible.

Diagonals on Chess board

Today the puzzle is about the famous game of Chess.
Chess is abbreviation given for "CHARIOTS HORSES ELEPHENTS SOLDIERS"
The game was basically invented in India first. Where it was called "Shatranj". This game is all about securing the King of your side and killing the opponent's. This game shows the exact philosophy of life: "Have faith in yourself. Even a mere pawn can be promoted to the Queen. The whole game is dependent on the survival of King. No matter how good your strategy is, if you can not secure your king. You are gone." The other philosophy says: " The more responsibility you have, the less power you achieve. ie, The King here can take steps of only length one."

Now coming to the technicalities of Chess Board, there are total 64 squares on the board. 32 Black and 32 white ones. All the squares are structured in a way that, no two black or no two white squares are side by side.

The puzzle says:
You are supposed to choose four squares. There are many ways possible to choose these squares. But from all those possible scenarios, what is the number of ways in which you can choose four squares such that, they all lie on the same diagonal.
The puzzle is quite famous one. This can be solved with the basics of probability theorems. So, try to solve on your own. There are many chances that you get the solution of this puzzle online. So, for that reason, I recommend you to solve on your own. Solve the puzzle and if you can't reach to answer, comment here. We will discuss the idea behind it. But, do not cheat by checking the solution online.


In how many ways you can select 4 squares on chess board such that all lie on the same diagonal??? Explain with reason.....

Next Letter

There is one more kind of logic puzzles. Which is asked for measuring the Intelligence Quotient. Which is known as IQ. Now, if I have to tell you about IQ, 80% of people on the Earth have an IQ between 60 to 120. 7% of the people have IQ between 120 and 130. While 10% lie below 60. IQ level above 130 is called an extraordinary intelligence. Einstein had an IQ level of 160 plus. Which is known as one of the highest IQ levels all over the world.

To build IQ levels and to test the same, you are supposed to solve as many logic puzzles as you can. I appreciate your interest in these puzzles and I am willing to take as many people as possible above IQ level of 130. If you are ready to increase your intelligence, I am here to help.

For testing your IQ level, I ask you three simple questions. And you are required to answer all these three puzzles with the help of your brain capacity. To maintain the truthfulness of this test, I recommend you to take this test within a time limit of two minutes.

The questions are:

1. What comes next in this sequence shown to you?

Sequence: S S E N T T T T T T T T T T T T T T T T T T T T ?

2. For how many times do the minute hand and hour end meet each other during one day?

3. "CICFIAP" is the word which is jumbled. By, putting all the letters at their correct place, you get a famous name. That name is whether 1) City 2) Ocean 3) Country 4) Animal . Only one option is correct. Try to find the answer.

If you answer all three correctly within two minutes, you have IQ level of above 140.

If you answer two of them correctly, you are sitting with an IQ level of above 120.

If you can answer only one of them correctly, you have an IQ level of above 100.

Solve on your own. And compare your results with your friends. You will be amazed to see their thought processes. I will come with the answers after certain amount of time. Anyways, these questions are quite famous ones. So, if you can not solve them, there are answers available all over the internet. Just google the questions and you will reach to answers.

All the best. I hope to see your IQ levels in near future increased.

Colour of the Bear I see

A quite interesting puzzle I came across recently. This puzzle is only about logic. The puzzle is one of the shortest ones, I had come across recently. This puzzle is all about thinking out of the box. Some people argue on this area, that there need not be any box, then how can one think outside the box. This simply is a philosophical idea that, all normal people are able to think only what the question draws them to. But logic is all about seeing what normal people are unable to see. Logic is about seeing what is invisible. Try to see through the objects given in the question. Try to see beyond them. Because, if the answer was directly given in the question, then everyone could have solved it. Then there wouldn't have been much value given to that puzzle.

Enough of this theory, now coming back to the puzzle, we are going to see here is containing only two sentences given as premises. And, one question is asked. This question can be said, an Inference question. The premises are there. You just need to twist them more, to get to the answer. I have enough faith in you people that you will definitely reach to the answer, All the best.

The puzzle says:
Premises: I am in a room which has all its views in south. There is a bear I can see from my window.
Question: What is the colour of that Bear?

Simple question it is. No vague ideas are attached to it. The more you will twist the premises. The more logic you will find. Try to solve this puzzle on your own. Because there are enough chances that this puzzle is available on other websites too. So, just by looking for the same question somewhere and reaching to answer will not help you in a long term. Answer the question on your own. All the Best. 

Average Speed of Ali's trip

An easy puzzle to start your day with:

There was a salesman named, Ali. Who had to drive to city B to sell his products. Ali is currently at location A. He can drive at different speeds throughout the journey.

For, the first half of the distance of his journey, he decided to travel it with an average speed of 80 km/h. (km/h means kilometres per hour). In this half of the journey, he doesn't change his speed in between. Rather, the speed stays the same throughout the first half, which is equal to 80 km/h.

After, finishing the first half of the journey, he travels the next half of the trip with a constant speed of 120 km/h. Now, we have to find, the average speed of Ali, for the whole journey?

Now, if we also include the return journey from City B to City A. Where, Ali travels at the speed of 80 km/h throughout the journey. What can be said about his round trip average speed? Can we know exact round trip average speed of Ali or we need the distance parameter specified in the question to find the average speed?

All the discussion of this puzzle, I leave it to your brain. Make cells of your brain fight for the answer. I have faith in you all LLs. You will surely get to the answer. See you all. All the best to solve the puzzle. I will be there, after sometime with another interesting puzzle. Till then, good bye.

An Easy One:
A salesman drives from A to B. The first half of the distance of his journey, he drives at constant speed of 80 km/h and the second half of his journey, he drives at a constant speed of 120 km/h. What is the salesman's average speed for the complete journey?

Bodmas and his students

Mr. Bodmas is the known maths wizard who was able to solve any number mysteries within a fraction of time. He was mainly known for his invention about the rules of calculation patterns. The rule itself is known as BODMAS rule. The full form of it is: BRACKETS OF DIVISION MULTIPLICATION ADDITION SUBTRACTION. The rule says that when we found all these things into a formula, from where to start the calculation. ie, we first solve the equation within the brackets. So, Brackets have the highest priority. Then in the descending order of priority comes, Division, Multiplication, Addition and Subtraction.

This wizard had three of his students who were grasping each and every concepts of numbers easily. He wanted to test their abilities. So, he handed each of them a sealed envelope with a number written inside. He told all of them that they each have a positive integer written inside the envelope.  And, the sum of all the integers is 14.

They each opened the envelope and inspected their numbers. The task for them was to find the numbers written on others' envelopes. To reach a conclusion these three students say:

The names of these three students are: Amit, Shashi and Rahul.

Amit says(after seeing his envelope) : "I know that Shashi and Rahul each have a different number."
Shashi says: "I already knew that all three of our numbers were different."

After listening to these two speak,
Instantly, Rahul says: "Now I know what all three of our numbers are."

How can Rahul know what the numbers of others are? And what are those numbers?

By that, I leave this puzzle in your brain muscles to be solved. I will wait for your answer. The puzzle needs some deep thinking, but this puzzle doesn't require any complex concepts of numbers. So, give yourself a try and solve it.