What is the age of each one of them? The manager of the building told me that the building consisted of different kinds of apartments large and small. Altogether the building contained apart- ments. Can you figure out how many apartments are there in eacb type, using round figures? The plate I got had a peculiar number on it. It consisted of 5 different numbers and by mistake when I fixed it upside down the number could be still read, but the value had increased by What was my actual license number?
He bought two lathes to use in his workshop. However, he found out afterwards that they did not serve the purpose for which he had bought them, and so he decided to sell them. He sold them each for Rs. Did he lose or gain in the transaction, and how much did each machine cost him? I curiously noted that she just balanced against sixteen bricks, when these werefixedto the short end of the plank and I also noticed that if she were to fix them to the long end of the plank, she only needed eleven as balance.
I wondered what was the girl's weight. The brick, I could guess weighed equal to a three quarter brick and three quarters of a pound. If you were to close your eyes and pick them at ran- dom, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out Can you find this number?
How long will it taketo saw it into twelve equal pieces? He was fond of both the women and had no special preference for either. One lived near Churchgate and the other in Bandra. He worked near a station midway between Churchgate and Bandra.
After work he generally went to the station, and took whichever train got into the station first—Churchgate or Bandra. He arrived at whichever his destination it wast at random times, but found that be was visiting his Churchgate wife much more often than the other, despite the fact that both the Churchgate and Bandra trains were on schedules which brought him to hiS station equally often. Since the same thing had been happening for a very long time, chance has been ruled out as the reason.
Can you find the reason for the frequency of his Churchgate trips? Our party consisted of 4 different professional groups, namely 25 writers, 20 doctors, 18 dentists and 12 bank employees. We spent altogether Rs. Later it was found that five writers spent as much as four doctors, that twelvedoctors spent as much as nine dentists, and that six dentists spent as much as eight bank employees.
How much did each of the four professional groups spend? When I came put I found that I had just as many paise as I had rupees and half as many rupees as I had paise when I went in. How much money did I have on me when I entered? I spent a few days in a small town, where I stayed as a paying guest with a British landlady. The heaters in the rooming house were all coin operated.
One day my landlady requested my help in sorting out a problem. There were one hundred and twenty coins in her gas- meter and one of them, she knew, was counterfeit. The counterfeit coin was either heavier or lighter than the others.
Now the problem was to isolate this counterfeit coin and find out whether it was lighter or heavier, in five weighings. How can one do it? A certain container contains just one bacteria on the first day and there are twice as many on the next day. In this manner the number of bacteria in the container doubles itself everyday. Assuming that the container would be full of bacteria on the 10th day, on which day would the container be half full.
A man passing through the meadow one day saw Gopal grazing a number of sheep and in the course of a short cpnversation asked him how many of the grazing sheep were his own. Gopal's reply absolutely baffled him, which was as follows: 'If you divide my sheep into two gifferent parts, the difference between the two numbers will be the same as the difference between their squares. Npw figure it out for yourself the number of sheep I own. They had agreed that whenever a player won a game he should double the money of each of the other players, in other words he was to give the players just as much money as they had already in their pockets.
In all they played seven games and, strangely, each won a game in turn in the order in which their names are given. But what was even more strange was that when they had finished the game each of the seven young men had exactly the same amount, Rs.
Can you find out how much money each person had with him before they began the game? So when he went around looking for a job as a farm-hand everyone refused to engage him, except farmer Gulab Singh, who was a very smart person. Gulab Singh engaged the services of Ram Rakhan at a salary of Rs. How- ever, he set a condition that he would forefeit Rs. Ram Rakhan accepted the job. At the end of the month it was found that neither owed the other anything. This tought a lesson to Ram Rakhan.
Can you tell jusf how many days Ram Rakhan worked and how many days he idled? A group of match sticks is placed on the table and then it is reduced in turn by eachplayer by removing from the group at least 1 but not more than 4 match sticks.
The player who takes the last match stick is the winner. If there is a group of 17 match sticks on the table how would you make your first move, if it was your turn and how would you continue to play to win?
And in 30 years the son will be half as old as his father. Bat they were so small that I made the vendor throw in two extra guavas for the samfe price.
As I began to walk away thevendor mumbled that this transaction had made him lose 10 paise a dozen less the price we had settled. How many guavas did I get for my Rs. I bad Rs. Which 6 coins did I have? Can you find the year of the twentieth century which gives the greatest number of occasions of this kind?
She pushed a large circular table we have at home, into the corner of the room, so that it touched both walls and spilled a spot of ink on the extreme edge, and she said, 'Mummy here is a little puzzle for you. Look at that spot. It is exactly eight inches from one wall and nine inches from the other, Now tell me the diameter of the table without measuring it..
Can you? Remember, no part of the material should be wasted. Can you find the numbers? There are at least two solutions. Finally he decided to propose marriage to his beloved and invited her to travel towards his place and offered to meet her on route and bring her home. The man is able to cover 4 miles per hour to the woman's 3 milesper hour. How far will each have travelled upon meeting? However, in some States the law permits a custo- mer to consume, after the deadline, what has been sold before the curfew.
In a certain bar 2 men ordered sufficient beer to cover their probable requirements in anticipation of the curfew. One man ordered and paid for 5 bottles and the other man ordered and paid for 3 bottles. But as the curfew sounded, an old friend of both the men approached and requested them to share with him the drinks.
The two man agreed and shared the total eight bottles of beer bet- ween them. The friend thanked the two men and put down Rs. How should this money be equitably divided between the two men? If you reverse my own age, the figures repre- sent my husband's age.
He is of course senior to me and thedifference betweenour ages is one-eleventh of their sum. Can you find out the woman's age as well as her hus- band's age? The passenger train takes three times as long to pass the goods—even when they are going in the opposite directions.
If the trains run at uniform speeds, how many times faster than the freight train is the passenger train moving? He had altogether kilos of rice and he wanted to distribute the grain to people in such a manner that each old person received three kilos, each youiig person two and each child half a kilo.
How many old persons, young persons and children were there? SWARM OF BEES Here is another problem from Bhaskaracharya's Lilavati: The square root of half the number of bees in a swarm has flown out upon a jasmine bush; eightninths of the whole swarm has remained behind; one female bee flies about a male that is buzzing within the lotus flower into which he was allured in the night by its sweet odour, but is now inprisoned in it.
Tell me the number of bees? Last time there was load shedding in Calcutta, I was readinga very interesting book and I could not stop. My neighbour Parveen gave me two candles and assured me that I could manage with them. Though the candles were of the same length, Parveen told me that one candle would burn for four hours and the other for five hours.
After I had been reading for some time 1 put the candles out as the lights came on again. And I noticed that what remained of one candle was exactly four times the length of what was left of the other. Can you find out just how long those two candles were burning? Can you find out how many goats did the last man have, if 6 cows eat as much as 4 mules, and 10 goats as much as 3 cows?
And how much did the first and second man each pay? But if there were no stream they could row it in seven minutes less than it takes them to drift down the stream. Can you say how long it would take them to row down with the stream? Can you find the height of a steeple whose shadow at the same hour, is ft. I had two bottles containing 10 ounces of each. I poured just a quarter of an ounce of spirits into the water and shook them up.
You can see clearly that the mixture was forty to one. Now I thought that I should have the same quantity of fluid in both the bottles, and so I poured back a quarter of an ounce of the mixture into the bottle containing water. It travels at the rate of one mile a minute through a tunnel which is also one mile long. Can you say how long it will take for the train to pus completely through the tunnel? He also owns a pasture to graze them all. During a visit I asked two of the men to tell me their ages.
One replied, 'One of our ages subtracted from tke other's equals What were their ages? These are the smallest possible numbers. Can you find the tfumbers? I have two 10 paise coins. A man and a woman always played against a man and a woman. However, no person ever played with or against any other person more than once. They all played together in two courts on three successive days. Can you show how they could have done it? To quote an example three years ago a friend offered me a used typewriter for Rs.
A year later he offered me the same for Rs. But I have decided to buy it when he reduces next time. If he does a consistent reduction, at what price will he offer the typewriter to me next? If I could have bought 4 more pineapples for Rs.
What would be the price of each? I took the sections to a goldsmith and asked him to give me an estimate to join the 5 sections into a one piece necklace. The goldsmith wanted Re. What is the cheapest method and how much should it cost me to get the five pieces joined together into one full necklace? Can you find the exact measurements for the sides of the boards?
Demochares has lived one-fourth of his life as a boy, one-fifth 9s a youth, one-third as a man, and has spent thirteen years in his dotage.
How old is Demochares? How old is Reena? If thecube is cut into 27 cubes of 1"x 1" x 1", how many 1" cubes do have any painted surfaces? How many cigarettes can be made and smoked from 36 butts? One taxi driver I had the occasion to travel with was particularly lacking in courtesy, and so I asked for bis number. The driver gave me a sardonical smile and said, 'Well, if you divide my number by 2, 3, 4, 5 or 6 you will find there is always 1 remaining.
But if you divide it by 11 there is no remainder. Do you want to know something more? There aren't no other cabby in this town with a lower number than—who can say the same,' and he drove off, while 1 stood there completely baffled. What was the man's number? When they finally arrived, I had them cleared through the Customs and engaged three labourers to carry theip to my home 3 miles distant.
As I was going to pay each of them equal amounts, they decided to carry a crate each equal distance. How did they manage to do it? Portchester" in London he was facing a serious problem pouring his wine from one vessel to the other. Portchester had two ten quart containers full of wine.
He also had a five quart and a four quart measure. All he wanted to do was put exactly three quarts into each of the two measures. He was standing there wondering how he is to do itl Now I offered to help and gave him some suggestions.
Can you find out what was my suggestion, and how many manipulations of pouring from one vessel to the other did he require, without waste of any wine, tilting or other tricks.
DOTS AND LINES Nine dots are arranged by 3 rows of 3 in the form of a square as shown in the sketch below: Can you draw four straight lines, the second beginning where the first ends, the third beginning where the second ends, and the fourth beginning where the third ends so that each dot is or at least one line? If one-fifth of a hive of bees flew to the badamba flower, one-third flew to the slandbara, three times the difference of these two numbers flew to an arbour, and one bee continued to fly about, attracted on each side by the fragrant Ketaki and Malati, what was the number of bees?
If a player is eliminated as soon as he loses a match, how many matches are required to determine the winner? On the last day I did 51 miles, increasing my journey 4 miles each day.
How many days did I travel and how far? How can these three, have each his own true Sabbath on the same day? He wanted the picture itself to occupy 72 square inches. What should be the smallest dimensions, the canvas he is going to obtain, should possess?
S« The four sides of the garden are known to be 20, 16, 12 and 10 rods. And it is also known that it has the greatest possible area for those sides. Can you find the area?
The average price of the animals per head worked to Rs. How many animals of each kind did he buy? Before retiring they did some quick counting and found that the fruits were less than a hundred in number. During the night one thief awoke, counted the mangoes and found that he could divide the mangoes into three equal parts if he first took one for himself.
Shortly thereafter another thief awoke, counted the mangoes and he again found that if he took one Cor himself the loot could be divided into three equal parts. He ate up one mango, bagged J of. The third thief also awoke after some time, did the same and went back to sleep. In the morning when they all woke up; and counted their mangoes, they found that the remaining mangoes again totalled 1 more than could be divided into three equal parts.
How many mangoes did the boys steal? We exchanged our phone numbers and decided to meet each other soon. When she rang up and invited me to her house this is how she gave me the number of her hduse: 'I live in a long street. Numbered on my side are the bouses one, two, three and so on. All the numbers on one side of me add up exactly the same as all the numbers on the other side of me.
I know there are more than fifty houses on that side of the street, but not so manyas five hundred. Can you find Stephaine's house number?
There are an equal number of 25 paise coins, 50 paise coins and one rupee coins. How many of each are there? The cube can be cut into 27 one inch cubes by the buzz-saw.
Only 6 cuts of saw are necessary to do this, while keeping the pieces together. Now, can you reduce the number of cuts by rearranging the pieces after each cut? If you can, how is it done? If you can't, why can't it be done? If they arrive at their destinations one hour and four hours respectively after passing one another, how much faster is one train running than the other?
Discussing the lease the land- lady told me: 'The property was originally on a 99 years lease and two-thirds of the time past is equal to four-fifths of the time to come. Now work it out for yourself and see how many years are there to gol How many years of unexpired lease did the property have? Solutions The first brother is 70 inches tall, the second 72 the third 74 and the fourth brother 80 inches tall. Twenty-six minutes.
Since the boys have as many brothers as sisters, there must be 1 boy more than the number of girls. If we try 2 and 1, 3 and 2, and 4 and 3, we will find that 4 boys and 3 girls is the solution to fulfil the requirement that each girl has twice as many brothers as sisters.
Naturally, the train travelling against the spin of the earth. This train will wear its wheels out more quickly, because the centrifugal force is less on this train. However, this represents the average of the 2 speeds and not the average speed for the whole trip. One'can think of different answers for this question, but yet thecorrect answer is very simple.
All we have to consider is that the shopowner could not have possibly lost more than the tourist actually stole. The tourist got away with the bicycle which cost the shopowner Rs. And this is the exact amount of the shopkeeper's loss.
The lowest square number I can think of, contain- ing all the nine digits once and only once, is , the square of , and the highest square number under the.
By experiment'we find that the only numbers that can be turned upside down and still read as a number are 0, 1, 6, 8 and 9. The numbers 0, 1 and 8 remain 0, 1 and 8 when turned over, but 6 becomes 9 and 9 becomes 6. Therefore the possible numbers on the bus were 9, 16, 81, , or However, the number isthe only number which becomes a perfect square when turned over because is the perfect square of Therefore is the correct answer.
Here is the formula that gives the minutes past twelve to which the hour hand points when the minute hand is exactly thirty minutes ahead. The Police Officer took thirty steps. In the same time'the thief took forty-eight, which added to his start of twenty-seven, carried fiim seventy-five steps.
This distance would be exactly equal to thirty steps of the Police Officer. While striking 7 the clock strikes its first gong at 7 o'clock and it strikes 6 more at regular intervals. These 6 intervals take 7 seconds so that the inter- vals between gongs isiT seconds. In order that the little girl should have disposed of the oranges she had remaining after her second 97 Therefore, if 1 orange represents half of the remaining after the second sale, then she must have sold two oranges in her second sale, leaving the 3 oranges after the first sale.
All the transactions carried out through the counterfeit note are invalid, and therefore every- body stands in relation to his debtor just where he was before I picked up the note. A pound of cotton is heavier than a pound of gold because cotton is weighed by the avoirdupois pound, which consists of 16 ounces, whereas gold, being a precious metal is weighed by the troy pound which contains 12 ounces grams.
When Tinku takes 12, Rinku and Jojo will take 9 and 14 respectively—and then they would have taken altogether thirty-five nuts. Thirty-five is contained in twenty-two times which means all one has to do now is merely multiply 12, 9 and 14 by 22 to find that Tinku's share was , Rinku's and Jojo's Now as the total of their ages is 17i years or half Jayant was 24 and Mohini The minimum number of weights required is five and these should weight 1, 3, 9, 27 and 81 pounds.
Let's assume G is the number of glasses delivered intact. Let's assume B is the number of glasses broken. I don't know about you, but I would have handed over 5 two paise stamps, 30 one paise stamps and 7-fivepaise stamps.
There isn't really any mystery, because the ex- planation is simple. While the two ways of selling are only identical, when the number of marbles sold at three for a paise and two for a paise is in the proportion of three to two. There- fore when the first woman handed over 36 marbles and the second woman 24, they would have fetched 24 paise, immaterial of sold separately or at five for 2 paise. But if they each held the same number of marbles there would be a loss when sold together of 1 paise in every 60 marbles.
So, if they had 60 each, there would be a loss of 2 paise and if there were 90 each altogether they would lose 3 paise and so on. In the case of 60, the missing 1 paise arises from the fact that the 3 a paise woman gains 2 paise and the 2 a paise woman loses 3 paise. The couple arrived home 10 minutes earlier than ubual. Therefore the point at which they met Thus the wife should have been at that point at five minutes to six.
Since the man started to walk at five o'clock, he must have been walking for 55 minutes when hi met his wife. My aunt's share was Rs. We can build concentric hexagons' containing 1, 6, 12, 18, 24, 30, 36 and 42 circles.
When R '— becomes sufficiently large there will be room for extra circles. If I walk 26 steps I require 30 seconds. If I walk 34 steps I require only 18 seconds. Multiplying the 30 by 34 and 26 by 18 we get and The difference between and is When we divide this number by the difference between 30 and , i.
It cannot be done. Each rectangle covers 1 white square and one black square, because on a chess board the white and black squares are always adjacent. The two squares which we remove from the chess board are of the samecolour, and so the remaining board has two more boxes of one colour than the other. And after the rectangles have covered 60 boxes, there will be left two squares of the same colour.
Obviously the remaining rectangle cannot cover these two squares. Just one look at the Dumber and we know that it cannot be a prime number. And if the problem has to have only one answer, this number can have only two factors. The factors are and , both of which are primes. We know that each cat killed more mice than there were cats, and therefore the correct answer, clearly, is that cats killed mice. This puzzle is so popular, the brand behind it has already sold over two million units.
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IE 11 is not supported. For an optimal experience visit our site on another browser. Share this —. Follow today. More Brands. Bestselling puzzles for adults Jigsaw puzzles for adults Location-specific jigsaw puzzles Other puzzle games for adults Bestselling puzzles for adults 1. Space Puzzle 1, Piece Jigsaw Puzzle. The Original Puzzle. Gray Malin. Puzzles to Puzzle You. Figuring the Joy of Numbers. The Great Book of Puzzles and Teasers.
Add 3 Items to Cart. Rate Product. I have bought this book very long ago, but spent time reading it recently.
This is a very good book. I expect puzzles to be twisting and giving food for thought but not too assuming.
Almost all the questions are very good except few which might have multiple solutions and some questions pose to give insufficient data to solve the problem. In such cases assumption is required at higher levels and can be solved by hit and trial methods. Few questions in this book can be solved by direct frami Though some of the puzzles are mainstream, but the context in which they are laid out is commendable. Then there are the puzzles for which you really bought this book which just sets your brain in super mode and involves a great level of mathematical thinking to be able to solve such problems.
It also contains a fair amount of conceptual problems with no or little solving part as such which I th Varun Nagpal Certified Buyer , Guwahati. Recieved item in good condition. Excellent speedy delivery.
I read this book and print is also good. It is a good item to buy in flip kart. Siva koti reddy Certified Buyer , Vijayawada. Krishna Chaitanya Varma Buddaraju. Its a small book and you can carry it anywhere. Better to solve these types of book then doing timepass in buses or trains Its a mindblowing book Good things puzzles are not nonsensical and are not made to deceive.
I handle the book with care but in this book some pages are coming out, If u r a puzzle lover I bet that there will be less question which would be new to u. If u have read some foreign author's book u may get the same question in the same word and in the same unit.
Sriram Kannan Certified Buyer , Chennai. If you are searching for a book that will really exercise your brain and you would be able to spend time with it, you are then browsing the correct page! In my opinion This book has a perfect balance of wide range of questions.
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