Brain Teasers and Puzzles

Emily Lime likes a regal lager on a hot day. When she's hungry, she calls out "Yo, banana boy!" When she gets a headache, she takes one lonely Tylenol. Tell us more about her. Or just sit quietly, drab as a bard.

On one hand, (notice the very last statement) ... On the other hand, [math]x=\sqrt[5]{2+5\sqrt[5]{2+5\sqrt[5]{2+...}}}[/math] solves that polynomial. What's wrong?

I got this nice little math puzzle elsewhere. I got it with a hint but try without the hint first. Here it goes: P.S. Without a calculator, of course.

Just one Question In a country called Wonderland there are two nearby villages One of them has all Truth Speakers who always tell truth and answer truthfully The other one is just opposite and all residents there only lie about everything and never answer truthfully I have a friend in the Truth Speaking Village and want to visit him The road leading to these villages bifurcates on a junction where I meet a person living in one of the villages and I ask him only one question and thereby from the answer decide which is the road to take to reach my friend What is the Question ?

Billy’s mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was named Lolo. What was the fifth child named?

Here’s a quick brain teaser for you: I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I? Take a moment to think and share your answer! I’d love to see different approaches to solving it.

“Evolution of Chess” Chess is a "mathematical" space game that can be played in various space dimensions. This flexibility suggests that similar chess variations could exist in other civilizations. Overview Theory and concept of evolving chess pieces The concept of evolving chess pieces originates from the idea of evolution itself and the movement of the queen piece, which combines the abilities of both a rook and a bishop. This unique capability has inspired a new way to play: players can combine two simple chess pieces (a rook and a bishop) to create a more complex piece, such as a queen. This process can be reversed, allowing players to convert complex pieces into sim…

This one of those puzzles which some people get straight away but others spend ages over. It's called Mrs Tilly and you have to work out what Mrs Tilly likes and what she dislikes. Ok i'll start.... Mrs Tilly likes to giggle but not to laugh. Mrs Tilly likes to be seen but never heard. Mrs Tilly likes the Moon but not the Sun Mrs Tilly likes darkness but not the light Mrs Tilly likes the unnecessary and hates the ordinary. If you work it out add your own one.

Friends Mathematicians Three Children of Mathematician Two Mathematician Met. They Didn't See Each Other for A Long Time, So one asks the other: - You Probably Got Married and You Have Children, Huh? - Oh yes, I have three children. - At what age? - I Will Tell You This: The Product (multiplication) of My Children's Age is 36. - It's not enough. - Rightly. Turn around and count the windows in this house. - Ok I have already did. - And you have the sum of my children age. - It's not enough. - Right Again. But Take Account that my Oldest Child Has Green Eyes ... - Ah Yes. Thank You, I Already Know How Many Years Your Children Have. How old are children of the mathematician?

Express \(\sqrt 5\) by rational numbers and a number \((\sqrt 5 + \sqrt 7)\) using addition, subtraction, multiplication and division.

... if it's a subgroup of a finite group G and contains exactly half the elements of G?

G is a cyclic group of order n generated by an element g, G = {e, g, g2, ..., gn-1). It can be also generated by its other element h = gk, G = {e, h, h2, ..., hn-1}. How are the k and n related?

Equivalence relation R on set X defines equivalence classes in X. Do they form a partition of X?

H is a finite subset of a group G, and for each h1, h2 in H their combination h1h2 is also in H. Is H a group?

Yesterday was that day that keeps triskaidekaphobes at home, but perhaps a thirteen lurks in every Friday. How? (it also lurks in Bill Oldfield, for a bonus point)

Find a polynomial function, f(n) whose output is a prime number for any input number, n.

That is, 48 + 68 + 98.

It is not a difficult equation. I wonder, how people approach it. Here it is: \[x+\frac{1}{x}=4\frac{1}{4}\] (Please, use spoiler in your response.)

Why the professor says "if"?

The strip shown has two sides : A straight line of 1 Unit Length and an arc from a Circle having a radius of 1 Unit ! The diagram is shown below. Find the Area of the Strip in Square Units of the same Unit !

It was from my mother to him as a Christmas present. It had plastic pieces on a peg board with a hard plastic clear case. Here is that puzzle for you to solve in digital form. Moreover, how many possible solutions are there to this puzzle?

A statistician is carrying out a doorstep survey of the ages of children in families. He rings the door-bell of a maths teacher who says --> "Well let's see: I have three children. The product of their ages is 36, and the sum of their ages is the same as the number of this house". The canvasser frowns and says --> "I still need a hint here". The maths teacher says --> "OK, my eldest kid just started piano lessons" "That's all I needed to know" says the canvasser, and walks away filling out the form. Q1. What were the ages of the children ? Q2. What was the number of the house ? ------------------------------------------------- …

A land owner inherits a Circular Piece of land and shares it with his siblings and children ! He lays out four plots of identical shape having 1/11 (one eleventh) of the total land and four other identical plots each having area of 1/4 Square kilometre each. He retains for himself a Square Plot of 1 Square kilometre ! You are required to show the layout of how he did it specifying the dimensions !

If the egg came first, then it follows that science is correct about one thing; the chicken was born from an egg. The egg could have just evolved into eggdom/ egdarton. If the chicken came first, then religion wins. God made the chicken and gave it the ability to lay eggs, whence other chicken would sprout forth. The real winner however was KFC.