# Puzzles to Puzzle You

# Sequence of numbers

Sequence of numbers 1 11 21 1211 111221 What will be the next one in the above sequence?

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# Calendar Confusion Puzzle

Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?

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# Pigs and Ducks

While driving through the countryside one day I saw a farmer tending his pigs and ducks in his yard. I was curious to know how many of each he had. I stopped the car and inquired. Leaning on the stile jovially, he replied. They have altogether 60 eyes and 86 feet between them. I drove off calculating in my mind exact ducks and pigs he had. What do you think is the answer?

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# Watch the Watch

One day Harry and I set our watches together. None of us was aware that my watch was getting faster by 2 min per hour and Harry's watch was getting slower by 1 min per hour. After some time, we discovered that my watch was 1 hr ahead of Harry's watch. Can you find out after how long we noticed this?

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# Order the Drink - Tea or Coffee

Fodder, Pepsi and Cola often eat dinner out. (i) Each orders either tea or coffee after dinner. (ii) If Fodder orders coffee, then Pepsi orders the drink that Cola orders. (iii) If Pepsi orders coffee, then Fodder orders the drink that Cola doesn't order. (iv) If Cola orders tea, then Fodder orders the drink that Pepsi orders. Who do you know always orders the same drink after dinner?

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# Arrange the Fruits

A shopkeeper arranges his fruits in such a way that putting either 3,or 9,or 7 apples in a row, each time one apple is left out. But when he puts 11 apples in a row, number apple is left. Find the number of apples.

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# Sum of Prime Primes

I take a prime number n. For values 1 to n, i take 1st prime no., 2nd prime no., 3rd prime no., ......., nth prime no. The number i get after addition is again prime. We know that n>5. What is the smallest value of n possible?

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# Nancy's 100th Birthday

Nancy was born in California and is a bit crazy about running. She started running at the age of 4 years, and she is determined to run till she grows 100 years in age. As soon as she grew 4, she started running straight in a direction from the place she was born, but she also wants to celebrate her 100th birthday at her hometown. So, she decides that she will run till a particular point and will return back along the same path. But with age, the speed of Nancy decreases. In fact, it is directly proportional to the number of years left to reach 100 years of age. At the age of 52, she was running at 96km/year. Keeping all these constraints in mind, she wants to run as far as she can. Can you help her in finding out the farthest point she can reach?

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# Pick the Card!

I have a pack of 52 playing cards. I can select two cards from the pack and required to pick a king of heart. However, i have the freedom to pick both cards at a time or pick them one by one. How you will pick the cards so as the probability to pick a king of heart is more?

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# Step Up!

I started going down a staircase. Having gone down 4 steps I saw X coming up. For one step that I take X goes up by two steps. I met X on the way going down. When I still had 7 steps to go down, X had gone up. Find the number of steps in the staircase.

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# Where is the Gold?

There are three boxes in a table. One of the box contains Gold and the other two are empty. A printed message contains in each box. One of the message is true and the other two are lies. The first box says 'The Gold is not here'. The Second box says 'The Gold is not here'. The Third box says 'The Gold is in the Second box'. Which box has the Gold?

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# Who is the robber?

There was a robbery in which a lot of goods were stolen. The robber(s) left in a truck. It is known that : (1) Nobody else could have been involved other than A, B and C. (2) C never commits a crime without A's participation. (3) B does not know how to drive. So, is A innocent or guilty?

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# Who is in the photograph?

Stephen was looking at a photo. Someone asked him, "Whose picture are you looking at?" He replied: "I don't have any brother or sister, but this man's father is my father's son. So, whose picture was Stephen looking at?

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# Handshakes - How many they had?

Jack and his wife went to a party where four other married couples were present. Every person shook hands with everyone he or she was not acquainted with. When the handshaking was over, Jack asked everyone, including his own wife, how many hands they shook. To his surprise, Jack got nine different answers. How many hands did Jack's wife shake?

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# Cubes and Squares

There are two whole numbers, difference of their squares is a cube and the difference of their cubes is a square. These are the smallest possible numbers Can you find the numbers?

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# How much FLY will FLY ?

Two trains, 200 km apart, are moving toward each other at the speed of 50 km/hour each. A fly takes off from one train flying straight toward the other at the speed of 75 km/hour. Having reached the other train, the fly bounces off it and flies back to the first train. The fly repeats the trip until the trains collide and the bug is squashed. What distance has the fly traveled until its death?

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# Across the Equator

The circumference of the Earth is approximately 40,000 km. If we made a circle of wire around the globe, that is only 10 meters (0.01 km) longer than the circumference of the globe, could a flea, a mouse, or even a man creep under it?

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# Consecutive Numbers

A teacher thinks of two consecutive numbers between 1 and 10. The first student knows one number and the second student knows the second number. The following exchange takes place: First: I do not know your number. Second: Neither do I know your number. First: Now I know. What are the 4 solutions of this easy number puzzle?

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# Intelligent Prince

A king wants his daughter to marry the smartest of 3 extremely intelligent young princes, and so the king's wise men devised an intelligence test. The princes are gathered into a room and seated, facing one another, and are shown 2 black hats and 3 white hats. They are blindfolded, and 1 hat is placed on each of their heads, with the remaining hats hidden in a different room. The king tells them that the first prince to deduce the color of his hat without removing it or looking at it will marry his daughter. A wrong guess will mean death. The blindfolds are then removed. You are one of the princes. You see 2 white hats on the other prince's heads. After some time you realize that the other prince's are unable to deduce the color of their hat, or are unwilling to guess. What color is your hat?

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# Guess the next term.

If 5+3+2=151022,9+2+4=183652, 8+6+3=482466, 5+4+5=202541 then 7+2+5= ?

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# Bring the ball Back!

How can you throw a ball as hard as you can and have it come back to you, even if it doesn't bounce off anything? There is nothing attached to it, and no one else catches or throws it back to you.

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# Find the missing Number!

10, 9, 50, 90, 70, __ , 69

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# Can you find it!

I just found a number with an interesting property: When I divide it by 2, the remainder is 1. When I divide it by 3, the remainder is 2. When I divide it by 4, the remainder is 3. When I divide it by 5, the remainder is 4. When I divide it by 6, the remainder is 5. When I divide it by 7, the remainder is 6. When I divide it by 8, the remainder is 7. When I divide it by 9, the remainder is 8. When I divide it by 10, the remainder is 9. It is not a small number, but it is not really big, either. When I looked for a smaller number with this property I could not find one. Can you find it?

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# Wires on Fire

A guy has two wires of varying thickness, which each burns in 60 minutes. He actually wants to measure 45 mins. How can he measure 45 mins using only these two wires. (he can't cut the one wire in half because the wires are non-homogeneous and he can't be sure how long it will burn)

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# Identify this

What occurs once in every minute, twice in every moment, yet never in a thousand years?

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# Soda Bottle

A bottle of soda costs $3. The soda is worth $2 more than the bottle. How much is the bottle worth?

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# Jai Veeru

Jai and Veeru have the same number of marbles when they start playing. Then Jai gains 20 marbles and later he loses 2/3rds of what he had. Now Veeru has 4 times as many marbles as Jai has. Find the initial number of marbles that each of them had?

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# Who is taller and Heavier?

There is a community in which there are 1000 couples. In that 2/3rd of men who are taller are also heavier and 3/4th of the men who are heavier are also taller and there are 120 women who are both heavier and taller than men. So how many men are both taller and heavier than women?

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# Balls - Double or Equal?

Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

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# How many matches?

51 teams are there and they are to play basketball matches. A team is out of the tournament if it looses 2 games. What is the maximum number of games to be played to decide one winner?

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# Zeroes in 100 factorial

How many trailing zeroes are there in 100! (100 factorial) ?

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# Football, Cricket and Table Tennis

One guy has Rs. 100/- in hand. He has to buy 100 balls. One football costs Rs. 15/, one Cricket ball costs Rs. 1/- and one table tennis ball costs Rs. 0.25. He spends the whole amount to buy the balls. How many balls of each type has he bought?

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# Repeat me

There is one four-digit whole number n, such that the last four digits of square of n are in fact the original number n. Find n.

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# Find the Weights

Mr. Smith, a school teacher needs to weigh 5 of his students. In a puzzling mood, he weighted them in couples. The output weights are 114, 116, 118, 120, 121, 122, 123, 124, 125 and 129 pounds. After sometime of mathematical jugglery, he was able to tell individual weights of each of the students. Can you tell what are their individual weights?

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# Do not Cheat

A certain town comprises of 100 married couples. Everyone in the town lives by the following rule: If a husband cheats on his wife, the husband is executed as soon as his wife finds out about him. All the women in the town only gossip about the husbands of other women. No woman ever tells another woman if her husband is cheating on her. So every woman in the town knows about all the cheating husbands in the town except her own. It can also be assumed that a husband remains silent about his infidelity. One day, the mayor of the town announces to the whole town that there is at least 1 cheating husband in the town. What do you think happens?

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# Cross the Bridge

Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without a torch. The bridge is only strong enough to support two people at a time. Different persons take different times to cross the bridge. Times for each person to cross are: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

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# Everyone wants a boy

In a country where everyone wants a boy, each family continues having babies till they have a boy. Once they have a boy, the family stops going for a child. If this continues, what is the proportion of boys to girls in the country? (Assuming probability of having a boy or a girl is the same)

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# PROBABILITY

The probability of a car passing a certain intersection in a 20 minute windows is 0.9. What is the probability of a car passing the intersection in a 5 minute window? (Assuming a constant probability throughout)

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# Cut the Cake

How would you cut a rectangular cake into two equal pieces when a rectangular piece has already been cut out of it? The cut piece can be of any size and orientation. You are only allowed to make one straight cut.

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# One hundred and Seventy Five

How many times a day do the minute and hour hands of a clock have an angle of 175 degrees between them?

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# Free the Prisoners

100 prisoners are stuck in the prison in solitary cells. The warden of the prison got bored one day and offered them a challenge. He will put one prisoner per day, selected at random (a prisoner can be selected more than once), into a special room with a light bulb and a switch which controls the bulb. No other prisoners can see or control the light bulb. The prisoner in the special room can either turn on the bulb, turn off the bulb or do nothing. On any day, the prisoners can stop this process and say "Every prisoner has been in the special room at least once". If that happens to be true, all the prisoners will be set free. If it is false, then all the prisoners will be executed. The prisoners are given some time to discuss and figure out a solution. How do they ensure they all go free?

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# Ants - do not collide

Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?

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# Gold, Gold, Gold...

You have got someone working for you for seven days and a gold bar to pay them. You must pay the worker for their work at the end of every day. If you are only allowed to make two breaks in the gold bar, how do you pay your worker? (Assuming equal amount of work is done during each day thus requiring equal amount of pay for each day)

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# Defective Balls

You have 10 boxes of balls (each ball weighing exactly10 gm) with one box with defective balls (each one of the defective balls weigh 9 gm). You are given an electronic weighing machine and only one chance at it. How will find out which box has the defective balls?

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# Globe Walk

How many points are there on the globe where, by walking one mile south, then one mile east and then one mile north, you would reach the place where you started?

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# HourRope - Measure the time

You have two sticks and matchbox. Each stick takes exactly an hour to burn from one end to the other. The sticks are not identical and do not burn at a constant rate. As a result, two equal lengths of the stick would not necessarily burn in the same amount of time. How would you measure exactly 45 minutes by burning these sticks?

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# Load the trucks

Given a fleet of 50 trucks, each with a full fuel tank and a range of 100 miles, how far can you deliver a payload? You can transfer the payload from truck to truck, and you can transfer fuel from truck to truck. Assume all the payload can fit in one truck.

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# B for Banana, C for Camel

The owner of a banana plantation has a camel. He wants to transport his 3000 bananas to the market, which is located after the desert. The distance between his banana plantation and the market is about 1000 kilometer. So he decided to take his camel to carry the bananas. The camel can carry at the maximum of 1000 bananas at a time, and it eats one banana for every kilometer it travels. What is the largest number of bananas that can be delivered to the market?

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# Nine IITians and a Professor

The puzzle is that Nine IIT students were sitting in a classroom. Their professor wanted them to test. Next day the professor told all of his 9 students that he has 9 hats, the hats either red or black color. He also added that he has at least one hat with red color and the no. of black hats is greater than the no. of red hats. The professor keeps those hats on their heads and ask them tell me how many red and black hats the professor have? Obviously students can not talk to each other or no written communication, or looking into each other eyes; no such stupid options and no tricks. Professor goes out and comes back after 20 minutes but nobody was able to answer the question. So he gave them 10 more minuets but the result was the same. So he decides to give them final 5 minutes. When he comes everybody was able to answer him correctly. What can be the answer and how did you reach the answer?

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# Break the Chain

A woman wants to buy a painting at an auction where you bid grams of gold instead of money. She owns a gold chain made of 23 interlocking loops, each weighing 1 gram. She wants to go to a jeweler before the auction to cut the minimum number of loops that would allow her to pay any sum from 1 to 23. For example, she could pay a 13 gram price with a 12 link chain and a single link. After much thought, she figures out a way to do it by cutting just 2 of the loops in the chain. How many loops are in the pieces of chains that she has after the 2 cuts?

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# Two Eggs - Hundred Floors

You have two identical eggs. There is a 100 storey building. Among these 100 floors, there is a threshold floor. If you drop an egg from any floor below this threshold floor, the egg will not break. But if an egg is dropped from threshold floor or any other floor above it, the egg will break. What is the minimum number of tries needed to find out the threshold floor?

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