## Eggs-cellent Riddles & Brain Teasers

You always knew that eggs are full of nutrition but here on QuickerMaths, it will help you strengthen your brain cells too. Here are some riddles & puzzles around eggs for you to solve.

First Egg Riddle

If one and a half hens lay one and a half eggs in one and a half days, how many eggs does one hen lay in one day?

Second Egg Riddle

2 fathers and 2 sons sat on the table to eat eggs for breakfast. They ate exactly three eggs, each person had an egg. Now you need to explain how that’s possible?

Third Egg Riddle

Let say you started selling a basket of eggs.

First customer buys one-half of your eggs plus one-half of an egg. Second customer buys one-half of your eggs plus one-half of an egg.

Third customer buys one-half of your eggs plus one half an egg.

At this point you have sold all of your eggs, and you never broke an egg. How many eggs did you start with?

## Using Arithmetic Signs

One of our regular visitor Aisharya Rana contributed this puzzle, which I found interesting. Hence I’m posting here to be pondered upon by all. Post your answers as comments below –

### Arithmetic Puzzle

In this puzzle you need to insert any arithmetic sign in between the same digit (from 1 to 9) repeated thrice. The final result should be 6 in each case. I’m doing one for illustration –

2      2      2 = 6

can be expressed as –

2 + 2 + 2 = 6

Solve the following yourself –

1      1      1 = 6
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

Remember, each equation can be solved in more than one way. Post your answers in the comment section below.

## Two plus Two Equals Five, is it possible?

Two plus two equals five” (“2 + 2 = 5“) is a famous phrase used in George Orwell’s book Nineteen Eighty-Four; therein, it is used as an example of an obviously false dogma one may be required to believe because of political or religious pressures. Orwell’s protagonist, Winston Smith, uses the phrase to wonder if the State might declare “two plus two equals five” as a fact; he ponders whether, if everybody believes it, does that make it true?

Here in India we’ve a famous movie starring Amitabh Bachchan and Shashi Kapoor in the name “Do Aur Do Paanch”, the literal translation of which is two plus two equals five. So what’s the fallacy behind this simple calculation?

Authorities can make you believe something which may be completely baseless.  However, is it mathematically possible to proof: 2 + 2 = 5

Let us give it a shot.

Required to prove, 2+2 = 5?

We all know, 2+2 = 4

2+2
= 4 – 9/2 + 9/2
= √(4 – 9/2)2 + 9/2
= √(16 – 2*4*9/2 + (9/2)2) + 9/2
= √(16 – 36 + (9/2)2) + 9/2
= √(-20 + (9/2)2) + 9/2
= √(25 – 45 + (9/2)2) + 9/2
= √(52) – 2*5*9/2 + (9/2)2) + 9/2
= √(5 – 9/2)2 + 9/2
= 5 – 9/2 + 9/2
= 5
Therefore, 2+2 = 5 (proved)

Oh boy, how’s that possible? Amusing, isn’t it? Let me know if you like this post. If yes, share it on social media with your friends.

Use your grey cells and find out the fallacy. Where’s the mistake in above proof? Put your answers in the comment below.

## Age of Three Sons – Interesting Induction Puzzle

Today I’m giving you a very interesting induction puzzle. I’m sure you’ll enjoy solving it. Put your answers in the comment below. I don’t have an option to hide the answers given, hence I would request you to avoid checking the answers given by others before trying it yourself. If you like puzzles you would surely like these mathematical puzzles also.

## Induction Puzzle Definition

It might help you to know what’s induction puzzle. I’m giving you the Wikipedia definition here for you –

Induction Puzzles are logic puzzles which are solved via the application of the principle of induction. In most cases, the puzzle’s scenario will involve several participants with reasoning capability and the solution to the puzzle will be based on identifying what would happen in an obvious case, and then repeating the reasoning that: “as soon as one of the participants realises that the obvious case has not happened, they can eliminate it from their reasoning, so creating a new obvious case”.

## Solve this Puzzle – If you can!

A man bumps into his mathematician friend on the street that he hasn’t seen in 5 years. The man asks the mathematician how old his children are. The mathematician, who always replies in riddles said, “I now have three children. The sum of their ages is equal to the number of windows on the building in front of you and the product of their ages equals 36.” The friend then says “I need one more piece of information.” The mathematician then replies “My youngest child has blue eyes.” What are the ages of the mathematicians three children?

## Manholes Cover Puzzle

Why is it better for manhole cover to be round rather than square?

Any problem can be solved in many creative ways. The more street smart you’re, the more logical you’re you can think of many ways of solving a given problem, specially when you get an unusual question to answer. There can be many reasons for the manholes being circular rather than squarish or rectangular. Don your thinking hats and come up with some cool reasons. You can explore many such puzzles at Quickermaths.com

## Strawberries and Blueberries Riddle

Let us keep today’s post a little fun.

So I have this little riddle for you all.

There are three fruit boxes. One has strawberries, one has blueberries and the other has strawberries and blueberries both. The boxes are labeled wrong so that no label is correct. Aditi opens just one box, and without looking in the box, takes out one piece of fruit. She looks at the fruit and immediately labels all the boxes correctly. Which box did she open and how did she know?

Come on let’s hear from you all. Post your solution in the comments box. Keep the answers coming.

You can also post any interesting riddle that you have on www.quickermaths.com/questions and have a time solving it together.

## Mathematical Puzzles to Puzzle You

Our body needs regular exercise to stay fit and in shape. Similarly, our brain needs regular exercise to stay fit. Riddles, conundrums, crosswords and puzzles with some logic and maths problems thrown in, are guaranteed to exercise your head and add fibre to your life. In the previous post we have explored how to develop effective thinking through puzzles

## Puzzle 1: Clock Puzzle

A patient was waiting for her turn from quite some time. Sitting uncomfortably in the doctor’s waiting room, she stared at the clock on the wall. She got bored of waiting for what seem to be a very long time.

To divert her mind from the reason for which she is visiting the doctor, she started to invent little puzzles to solve.

Estimating the length of the minute hand of the clock to be 4 inches, she calculated the distance the hand had travelled around the clock since she had first arrived to be 15 inches.

How long had she been waiting? How did she manage to calculate this distance?

Once she solved this, her attention got diverted to some books lying in the book shelf. She came up with book worm puzzle – click here to read further

## Puzzle 2: Speed and Distance Puzzle

Raja’s office is 9 km from his home. One day, he decides to jog to work in order to increase his fitness. He estimates the journey time to be little over 1 hour 45 minutes.

After jogging for some distance his energy begins to fade and he realizes that he will not be able to run the whole distance. Raja sees a passing taxi and he thanks god that now he can reach office in time. Raja hails the cab and completes his journey, arriving at work one hour 10 minutes earlier than he had anticipated.

Assuming Raja could run at 1/6 the speed of the cab, how far did he run before he hailed the taxi?

Many a times we are amazed by some number tricks displayed by our friends or teachers.  It seems that they can enter our mind and guess accurately what we were thinking. We always wanted to have such tricks up our sleeves, where it appears that we can read the mind of our audience.  Today I’m presenting couple of such tricks here along with the explanation on how these tricks actually work. You can explore hundreds of interesting puzzles and riddles on QuickerMaths.

## Magic Number

This simple calculation is sometimes used as a demonstration of prescience, or even occult powers. Write down your year of birth. Add the year you started your first job. Add your present age. Add the number of years you have spent, since you started that first job, at work, in further education, unemployed, in retirement or whatever. Now check your answer. Is it something like 4028?

### Explanation of the Trick

The sum of number specified will always total twice the year in which the calculation is done – 4028 for 2014. 4030 for 2015, and so forth. A little logical thinking reveals why this is so.

## Pocket Change

Here is a simple but nonetheless baffling formula for a proving to anyone that you can figure out his or her age and also how much loose change (less than Rs.100) he has in his pocket. Have him do the calculations in private without telling you anything but his final result. It works like this:

His age                                                  28

Double it:                                            56

Multiply by 50:                               3050

Subtract 365:                                      2685

Now you ask for the final figure and add 115 to it. The result in this instance is 2887: The two figure beings the person’s age, the last two his amount of loose change. The formula works every time.

### Explanation of the Trick

Observation reveals the simple mathematics on which this trick is based. When you double the age and letter multiply by 50, you are doing nothing more than multiplying it by 100 – that is, adding 2 zeroes at the end of the number. The addition of 5,  multiplied by 50, is a smokescreen. It amounts to 250 – which is then cancelled out by the hocus-pocus of subtracting 365 and ultimately adding 115.

If you know any mind reading number guessing trick like this you can share it with everyone by posting it here as comment. If it’s a puzzle and you want it to be answered you can post it on QuickerMaths’s Question Answer Forum.

## How to Develop Effective Thinking through Puzzles

While going through an online course on EDX (Massive Open Online Courses) named Effective Thinking through Mathematics with Professor Michael Starbird, I came across couple of interesting puzzles. This course basically talks about how one can improve his thinking and make it very effective using mathematical reasoning in decision making. I am sharing those with you here in this post.

## Puzzle 1: Gem in the Stone

Here are nine identical-looking stones. One can’t differentiate any one from the others. Eight of the stones weigh the same, but one of the stone containing the jewel weighs slightly more than the others

For your help you have got 2 balance scales. You may use each of the two balance scales exactly once. Is it possible for you to select the slightly heavier stone containing the gem (jewel) from among the nine identical-looking stones? Explain why or why not.