Preferably how to work it out and not just answers

]]>How shall Bill put all his coins on the table for greatest earnings?

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XTWUMG YPNGGBNMC DXTAUFFNTMVBBO

Solve it, then unscramble the letters in the resulting sentence (it is now an anagram) to reveal the name of a rock group and the title of one of their songs (six words altogether).

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Pairing triangles that share an edge produces diamond shapes with three distinct orientations, as shown.

Prove that any * n*-diamond tiling of the hexagon will use the three types in equal numbers.

If you cut a pizza using **two **straight vertical cuts, you'll have **four **pieces left (pieces-to-cut ratio = 2, also a whole number).

Cutting the pizza **thrice**, the maximum pieces possible is seven (pieces/cuts = 7/3 = 2.3333..., i.e. there is a **remainder **of 1).

See attached image.

Questions ...

(1) What is the ** maximum number of pieces** that one would get by cutting the pizza

(2) ** How many** cuts should one make to get a maximum of at least

(3) The minimum piece-to-cut ratio with no remainder is exactly 2 as indicate above. What would be the ** next higher number of cuts**, such that the number of resulting pieces divided by the number of cuts has no remainder?

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ABRQQNA WTKQXT EWTUFRUXCJZ GNUZCUWCAS

Solve it, then unscramble the letters in the resulting sentence (it is now an anagram) to reveal the name and surname of a politician and two of his policies (there are four words).

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2. In a training academy, Mark is the 50th fastest and the 50th slowest runner. Assuming no two runners, run at the same speed, how many runners are in Mark’s academy?

3. Benjamin had locked his suitcase with a 3-digit numerical code. He normally forgets his codes, so he wrote some clues indicating the what the code was. Can you crack the code based on the 5 clues written below by Benjamin?

Clue #1: 082 – One number is correct and well placed

Clue #2: 013 – One number is correct but wrongly placed

Clue #3: 260 – Two numbers are correct but both are wrongly placed

Clue #4: 748 – None of the numbers are correct

Clue #5: 786 – One number is correct but wrongly placed

4. My daughter has many sisters.

She has as many sisters as she has brothers.

Each of her brothers has twice as many sisters as brothers.

How many sons and daughters do I have?

5. Pamela is trying to lose some weight.

She wants to do this by climbing stairs.

She starts on the fourth floor, climbs up five stories, down seven, up six, down three, and up four again.

What floor is she on now?

6. Jennifer is packing gifts and wants 200 ribbons of length 110 cm each.

If each tape contains 25m of ribbon, how many tapes will Jennifer need?

7. 3 competitors Frank, Bruce, and Jack go on an expedition in the forest. They find a magic lamp in one of the caves in the forest. As they rub the lamp a genie pops out and grants them 1 wish each.

Frank goes first, “I wish I could be alive forever.”

Bruce goes next, “I wish the word ‘alive’ actually meant ‘dead’”.

Jack goes last, “I wish Bruce and Frank were dead”.

After all, is said and done, who of the three is alive and who is dead?

8. 20 people worked and earned $20 between them.

The workers include men, women, and children.

If each man earns $ 3, each woman $1.50 and each child earns $ 0.50.

How many men, women, and children are there?

9. In an athletic race, the woman who came two places in front of the last woman finished one ahead of the woman who came fifth. How many competitors were running the race?

10. Your friend puts a coin in a wine bottle and then puts in the cork to close it. He now asks you to remove the coin from the bottle, but the conditions are that you cannot; take out the cork or Break the bottle. How would you remove the coin?

11. A man has Ten Horses and nine stables as shown here.

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The man wants to fit Ten Horses into nine stables. How can he fit Ten horses into nine stables?

12. A school orchestra with 10 musicians can play the first section of a symphony in 10 minutes. How long would it take to play if they added 10 more musicians to the orchestra?

13. Mark is throwing his son Stewart a surprise birthday party but he has limited funds.

He spent half of his money plus $2.00 on the cake.

Half of what was left plus $2.00 was spent on balloons and decorations.

Then he spent half of what he had left plus $1.00 on candy.

Now he is out of money, how much did Mark start with?

Spoiler

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2. A beggar's brother died but the man who died had no brother. How could this be?

3. A girl is twice as old as her brother and half as old as her father. In 50 years her brother will be half as old as his father. How old is the daughter now?

4. There were 5 men traveling down a road. It started to rain and 4 men sped up. The 5th did not. They all arrived at the same place at the same time, but all of them were wet besides the 5th. How?

5. Trains travel from one town to another town all day, always on the same track, always going nonstop, and at the same speed. The noon train took 80 minutes to complete the trip but the night train took an hour and 20 minutes. Why?

6. A king decided to let a prisoner try to escape the prison with his life. The king placed 2 marbles in a jar that was glued to a table. One of the marbles was supposed to be black and one was supposed to be blue. If the prisoner could pick the blue marble he would escape the prison with his life. If he picked the black marble he would be executed. However, the king was very mean and he wickedly placed 2 black marbles in the jars and no blue marbles. The prisoner witnessed the king only putting 2 black marbles in the jars. If the jar was not see-through and the jar was glued to the table and the prisoner was mute so he could not say anything, how did he escape with his life?

7. A prisoner is told 'If you tell a lie we will hang you; if you tell the truth we will shoot you.' What can he say to save himself?

8. There is a cat, a dog, and a mouse. You need to get them across the river. You can't leave the cat and the dog alone or the mouse and the cat alone. Your boat can only carry one animal. How do you get them across?

9. There are two bodies on the floor. They are surrounded by water and broken glass. How did they die?

10. An electric train is going south at 98 mph. The wind is blowing northeast. Which direction is the smoke blowing?

11. A night shift guard while on patrol at night, dreams about that the king will die in a plane crash. He tells the king in the morning, but the king tells him not to worry and flies anyway. When he returns from his trip he fires the night shift guard. Why does the king fire the night shift guard?

12. A large truck is crossing a bridge 1 mile long. The bridge can only hold 12000 lbs which are the exact weight of the truck. The truck makes it halfway across the bridge and stops. A bird lands on the truck. Does the bridge collapse? Give a reason.

Spoiler

VIDEO:

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The solution is contained in the video below

]]>Can you arrange the 6 x 6 domino set in order that all columns and rows contains 0 - 6 ?

]]>2. If 4 and 2= 26, 8 and 1 = 79 and 6 and 5 = 111. Then, what is 7and3?

3. What 3 positive numbers give the same result when multiplied and added together?

4. What number do you get when you multiply all of the numbers on a telephone's number pad?

5. Here is a light switch. Note the order of the positions. If the light is now at medium and it is switched 3922 times what will be the position of the switch?

6. Can you arrange four nines to make it equal to 100.

8. If 1/2 of 5 is 3, then what is 1/3 of 10?

9. 100 students entered college. 55 of them chose music. 44 of them chose sports. 20 of them chose both. How many of them chose neither music nor sports?

10. Four friends are going to a concert. When they arrive, there are only five seats together left in the theater. The manager will let all four friends in for free if one of them can tell her how many different seating arrangements are possible for four people with five empty seats.

All four are let in free. Could you have given the correct answer?

12. At six o’clock the wall clock struck 6 times. Checking with my watch, I noticed that the time between the first and last strokes was 30 seconds. How long will the clock take to strike 12 at midnight?

13. There are several books on a bookshelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?

14. John has been hired to paint the numbers 1 through 100 on 100 apartments.

How many times he has to paint 8?

15. You have two books. One of them is upside-down and the other is rotated so the top of the book is facing you.

What is the sum of the first page in each book?

16. There is a certain club which is for men only. There are 600 men who belong to this club and 5% of these men wear one earring. Of the other 95% membership, half wear two earrings and the other half wear none. How many earrings are being worn in this club?

17. Does a pound of gold or a pound of feathers weight more?

18. There is a chain nailed to the wall. The chain is 10 feet long and the center of the chain dips down 5 feet from where each side of the chain is nailed to the wall. How far are the 2 ends of chain from each other?

19.Little Johnny is walking home. He has $300 he has to bring home to his mom. While he is walking a man stops him and gives him a chance to double his money. The man says "I'll give you $600 if you can roll 1 die and get a 4 or above, you can roll 2 dice and get a 5 or 6 on at least one of them, or you can roll 3 dice and get a 6 on at least on die. If you don't I get your $300."

What does Johnny do to have the best chance of getting home with the money?

20. If you have 6 women and 2 friends, how many women do each of your friends get?

I created this video 20 RIDDLES TO TEST YOUR MATH, IQ AND THINKING SKILLS. And I wanted to share it with you, Try to answer all riddles, And let me know your feedback. Thanks, and Good Luck!

]]>How many beers did Bob have by that point? Provide a proof.

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Spoiler

This is base on my posted question : " Anti Square" .About most number of pieces on chess board without forming a square. Yet 34 may not be the maximum.

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On the 2 x 1 grid all 7- segment digits above can be formed one at a time as seen on clocks , calculators and other digital devices. If we are allowed to flip or rotate and overlap segments, how should these digits be configured inside the 3 x 4 grid ,so we can see all of them at the same time?

Spoiler

note: too much overlapping may cause some digits to disappear

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15 students are participating in football team & Volleyball team.

10 Students are participating in football team & Basketball team.

8 Students are participating in Volleyball team & Basketball team.

23 Students not participating at any team, whereas there are students participate at three teams.

How many students participating at three teams?

How many students participating at Football team only?

How many students participating at Volleyball team only?

How many students participating at Basketball team only?

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1) The tent on pitch 2 is owned by the French cacher. The American cacher prefers wherigos.

2) Marie’s tent is immediately to the left of the Chilean cachers. She prefers multi caches and found twice as many as the Spanish cacher, who does not favour letterbox hybrids.

3) Heidi prefers mystery caches. She found more caches than Hugo, who found more than Frank.

4) Brigitte is German. Her tent is two places left of Frank’s, who isn’t at the end of the row, and somewhere right of – but not adjacent to – the UK cacher.

5) The Chilean, who is not next door but one to the Belgian, is further right than Stanley. Pitch one much prefers earth caches.

6) Juan has pitch number 3. Sixteen caches were found by a man whose tent is pitched somewhere left of Frank’s.

7) Heidi is immediately right of the person who has flown over from the States, and who found more caches than the UK cacher. 40 Traditional cache where found by a European cacher, their favourite type.

Cachers Names: Brigitte, Frank, Heidi, Hugo, Juan, Marie, Stanley

Country: Belgium, Chile, France, Germany, Spain, UK, USA

Favourite cache type: Earth, Letterbox, Multi, Mystery, Traditional, Virtual, Wherigo

Number of finds: 2, 4, 5, 8, 10, 16, 40

A man went into a bank with a thousand dollars, all in dollar bills, and ten bags. He said, "Place this money, please, in the bags in such a way that if I call and ask for a certain number of dollars you can hand me over one or more bags, giving me the exact amount called for without opening any of the bags." How was it to be done? We are, of course, only concerned with a single application, but he may ask for any exact number of dollars from one to one thousand.

Imagine you have several distinguishable rows composed of several distinguishable columns

The intersection of the rows and columns either have a 1 or a 0.

Each row sums to the same value and the question is how many of the columns can you eliminate assuming the the 1's in each row are randomly distributed across the columns

Example, there are 30 rows and 20 columns with each row containing 7 randomly dispersed 1's. How many columns can be eliminated reducing the total in each row by no more than 2.

They have two kids, one of them is a girl, what is the probability that the other kid is also a girl.

Assume safely that the porbability of each gender is 1/2.

Ofcourse its not 1/2 else would make it a lousy puzzle...

]]>Ans: 1/3

This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate.

The following are possible combinations of two children that form a sample space in any earthly family:

Girl - Girl

Girl - Boy

Boy - Girl

Boy - Boy

Since we know one of the children is a girl, we will drop the Boy-Boy possibility from the sample space.

This leaves only three possibilities, one of which is two girls. Hence the probability is 1/3