Work your self and solve this puzzles, if you have any doubt refer this puzzles solutions in next page link.
1.TALL MEN NEXT DOOR
Next door to me live four brothers of different heights. Their average height is 74 inches, and the difference in height among the first three men is two inches,The difference between the third and the fourth man is six inches.
Can you tell how tall is each brother?
2. A MATTER OF TIME
Fifty minutes ago if it was four times as many minutes past three o'clock, how many minutes is it until six o'clock?
3.BROTHERS AND SISTERS
A family I know has several children. Each boy in this family has as many sister as brothers but each of the girls has twice as many brothers as sisters. How many brothers and sisters are there?
4. AROUND THE EQUATOR
Two identical trains, at the equator start travelling round the world in opposite directions. They start to-gether, run at the same speed and are on different tracks.
Which train will wear out its wheel treads first?
5. OVER THE GOLDEN GATE
While in San Francisco some time back, I hired a car to drive over the Golden Gate bridge. 1 started in the afternoon when there was no traffic rush. So I could do 40 miles an hour. While returning, however, I got caught in the traffic rush and I could only manage to drive at a speed of 25 miles an hour.
What was my average speed for the round trip?
6.BICYCLE THIEVES
A friend of mine runs a bicycle shop and he narrated to me this following story:
A man, who looked like a tourist, came to his shop one day and bought a bicycle from him for Rs. 350. The cost price of the bicycle was Rs. 300. So my friend was happy that he had made a profit of Rs. 50 on the sale. However, at the time of settling the bill, the tourist offered to pay in travelers cheques as he had no cash money with him. My friend hesitated. He had no arrangements with the banks to encash travelers cheques. But he remembered that the shopkeeper next door had such a provision, and so he took the cheques to his friend next door and got cash from him.
The travelers cheques were ^11 made out for Rs. 100 each and so he had taken four cheques from the tourist totaling to Rs. 400! On encashing them my friend paid back the tourist the balance of Rs. 50.The tourist happily climbed the bicycle and pedalled away whistling a tune.However, the next morning my friend's neighbour, who had taken the travelers cheques to the bank, called on him and returning the cheques which had proved value-less demanded the refund of his money. My friend quietly refunded the money to his neighbour and tried to trace the tourist who had given him the bad cheques and taken away his bicycle. But the tourist could not be found.
How much did my friend lose altogether in this un-fortunate transaction?
7. THE DIGITS AND SQUARE NUMBERS
All the nine digits are arranged here so as to form four square numbers:
9, 81, 324, 576
How would you put them together so as to form a single smallest possible square number and a single largest possible square number?
8. THE BUS NUMBER
While visiting a small town in the United States, I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number I did remember that the bus number bad a certain peculiarity about it. The number plate showed the bus number as a perfect square and also if the plate was turned upside down.? the number would still be a perfect square of course it was not?
I came to know from the bus company they had only five hundred buses numbered from 1 to 500.
From this I was able to deduce the bus number. Can you tell what was the other number?
9. THE HOUR HAND AND THE MINUTE HAND
We all know that the hour hand and the minute hand on a clock travel at different speeds. However there are certain occasions when the hands are exactly opposite each other. Can you give a simple formula for calculating the times of these occasions?
10. TO CATCH A THIEF
Some time back while in England I watched a case in a criminal court. A man was being accused of having stolen certain valuable jewels and trying to run away with them, when he was caught by a smart police officer who overtook him.
In cross examination the lawyer for accused asked the police officer how he could catch up with the accused who was already seven steps ahead of him, when he started to run after him. 'Yes Sir.' The officer replied. 'He takes eight steps to every five of mine !
'But then officer,' interrogated the lawyer, 'how did you ever catch him. if that was the case?'
'That's easily explained sir,' replied the officer, "I got a longer stride... two of my steps equal in length to his five. So the number of steps 1 required were fewer than his. and this brought me to the spot where I captured him.'
A member of the jury, who was particularly good at quick calculations did some checking and figured out the number of steps the police officer must have taken.
Can you also find out how many steps the officer"needed to catch up with the thief?
11.THE GONG
Supposing a clock takes 7 seconds to strike 7, how long does it take for the same clock to strike 10?
12. SOMETHING FOR THE MARMALADE
A little girl I know sells orange from door to door.
One day while on her rounds she sold i an orange more than half her oranges to the first customer. To the second customer she sold i an orange more than half of the remainder and to the third and the last customer she sold i an orange more than half she now had, leaving her none.
Can you tell the number of oranges she originally had? Oh, by the way, she never had to cut an orange.
13. THE COUNTERFEIT NOTE
While walking down the street, one morning, I found a hundred rupee note on the footpath. I picked it up, noted the number and took it home.
In the afternoon the plumber called on me to collect his bill. As I had no other money at home, I settled his account with the hundred rupee note I had found. Later I came to know that the plumber paid the note to his milkman to settle his monthly account, who paid it to his tailor for the garments he had had made.
The tailor in turn used the money to buy an old sewing machine, from a woman who lives in my neigh-bourhood. This woman incidentally, had borrowed a hundred rupees from me sometime back to buy a pressure cooker. She, remembering that she owed me a hundred rupees, came and paid the debt.
I recognised the note as the one I had found on the footpath, and on careful examination I discovered that the bill was counterfeit.
How much was lost in the whole transaction and by whom?
14. COTTON OR GOLD
Which would you say is heavier, a pound of cotton or a pound of gold?
15. NUTS FOR THE NUTS
Last time I visited a friend's farm near Bangalore he gave me a bag containing 1000 peanuts. From this I took out 230 peanuts for use in my own home and gave away the bag with the remainder of peanuts to three little brothers who live in my neighbourhood and told them to distribute the nuts between themselves in proportion to their ages which together amounted to17 1/2 years.
Tinku, Rinku and Jojo, the three brothers, divided the nuts in the following manner:
As often as Tinku took four Rinku took three and as often as Tinku took six Jojo took seven.
With this data can you find out what were the respective ages of the boys and how many nuts each got?
16. THE WEDDING ANNIVERSARY
Recently I attended the twelfth wedding anniversary celebrations of my good friends Mohini and Jayant. Beaming with pride Jayant looked at his wife and com-mented, 'At the time we were married Mohini was 3/4 of my age, but now she is only 5/6 th.
We began to wonder how old the couple must have been each at the time of their marriage!
Can you figure it out?
17. I'LL GET IT FOR YOU WHOLESALE...
A wholesale merchant came to me one day and posed this problem. Every day in his business he has to weigh amounts from one pound to one hundred and twenty-one pounds, to the nearest pound. To do this, what is the minimum number of weights he needs and how heavy should each weight be?
18. THE BROKEN GLASSES
My friend Asha was throwing a very grand party and wanted to borrow from me 100 wine glasses. I decided to send them through my boy servant Harish.
Just to give an incentive to Harish to deliver the glasses intact I offered him 3 paise for every glass delivered safely and threatened to forefeit 9 paise for every glass he broke.
On settlement Harish received Rs 2.40 from me. How many glasses did Harish break?
19. THE PECULIAR NUMBER
There is a number which is very peculiar. This number is three times the sum of its digits. Can you find the number.
20. MAKE A CENTURY
There are eleven different ways of writing 100 in tha form of mixed numbers using all the nine digits once and only once. Ten-of the ways have two figures in the integ-ral part of the number, but the eleventh expression has only one figure there.
Can you find all the eleven expressions?
21. THE PERPLEXED POSTAL CLERK
My friend Shuba works in a post office and she sells stamps. One day a man walked in and slamming seventy-five paise on the counter requested, 'Please give me some 2 paise stamps, six times as many one paisa stamps, and for the rest of the amount make up some 5 paise stamps.'
The bewildered Shuba thought for a few moments and finally she handed over the exact fulfillment of the order to the man with a smile.
How would you have handled the situation?
22. THE MYSTERY OF THE MISSING PAISA
Two women were selling marbles in the market place one at three for a paise and other at two for a paise. One day both of them were obliged to return home when each had thirty marbles unsold. They put together the two lots of marbles and handing them over to a friend asked her to sell them at five for 2 paise. According to their calculation, after all, 3 for one paise and 2 for one paise was exactly the same as 5 for 2 paise.
But when the takings were handed over to them, they were both most surprised, because the entire lot together had fetched only 24 paisel If however, they had sold their marbles separately they would have fetched 25 paise.
Now where did the one paise go? Can you explain the mystery?
23 WALKING BACK TO HAPPINESS
A man I know, who lives in my neighbourhood, travels to Chinsura every day for his work. His wife drives him over to Howrah Station every morning and in the evening exactly at 6 P.M. she picks him up back at the station and takes him home.
One day he was let off at work an hour earlier, and so he arrived at the Howrah Station at 5 P.M. instead of at 6. He started walking home. However he met his wife enroute to the station and got into the car. They drove home arriving 10 minutes earlier than usual.
How long did the man have to walk, before he was picked up by his wife?
24. ON THE LINE
It is a small town railway station and there are 25 stations on that line. At each of the 25 stations the passengers can get tickets for any of the others 24 stations.
How many different kinds of tickets do you think the booking clerk has to keep?
25.THE LEGACY
When my uncle in Madura died recently, he left a will, instructing his executors to divide his estate of Rs. 1,920,000 in this manner: Every son should receive three times as much as a daughter, and that every daughter should get twice as much as their mother. What is my aunt's share?
26. THE ROUND TABLE
We have a circular dining table made of marble which has come down to us as a family heirloom. We also have some beautiful bone-china saucers that I recently brought from Japan.
Our table top is fifteen times the diameter of our saucers which are also circular. We would like to place the saucers on the table so that they neither over lap each other nor the edge of the table.
How many can we place in this manner?
27. DOWN THE ESCALATOR
Recently, while in London, I decided to walk down the escalator of a tube station. I did some quick calculations in my mind. I found that if I walk down twenty-six steps, I require thirty seconds to reach the bottom. However, if I am able to step down thirty-four stairs I would only require eighteen seconds to get to the bottom.
If the time is measured from the moment the top step begins to descend to the time I step off the last step at the bottom, can you tell the height of the stairway in steps?
28. THE CHESS BOARD
We all know that a chess board has 64 squares. This can be completely covered by 32 cardboard rectangles, each cardboard covering just 2 squares.
Supposing we remove 2 squares of the chess board at diagonally opposite corners, can we cover the modified board with 31 rectangles? If it can be done how can we do it? And if it cannot be done, prove it impossible.
29.THE GAME OF CATS AND MICE
A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice.
How many cats do you think there were?
Ob, by the way let me clarify just two points it is not one cat killed the lot, because I have said 'Cats' and it is not-999919 cats each killed one mouse, because I have used the word 'mice'.
I can give you just one clue each cat killed more mice than there were cats.
30. THE WHEELS
A friend of mine in Bangalore owns a horse-driven carriage. It was found that the fore wheels of the carriage make four more revolutions than the hind wheel in going 96 feet. However, it was also found that if the circumference of the fore wheel were 3/2 as great and of the hind wheel 4/3 as great, then the fore wheel would make only 2 revolutions more than the hind wheel in going the same distance of 96 feet.
Can you find the circumference of each wheel?
31. BLOW HOT BLOW COLD
It is a matter of common knowledge that 0°C is the same as 32°F. It is also a known fact that 100°C equals 212°F. But there is & temperature that gives the same reading on both Centigrade and Fahrenheit scales. Can you find this temperature?
32. THE LLAMA RACE
Recently, while I was in a holiday resort in Peru I watched a very interesting spectacle. Two gentlemen by the name of Sr. Guittierez and Sr. Ibanez decided to have a Llama race over the mile course on the beach sands. They requested me and some of my other friends whom I had met at the resort to act as the judges. We stationed ourselves at different points on the course, which was marked off in quarter miles.
But, the two Llamas, being good friends decided not to part company, and ran together the whole way. How-ever, we the judges, noted with interest the following results:
The Llamas ran the first three quarters in six and three quarters minutes. They took the same time to run the first half mile as the second half. And they ran the third quarter in exactly the same time as the last quarter.
From these results I became very much interested in finding out just how long it took those two Llamas to run the whole mile.
Can you find out the answer?
33. THE SHATTERED CLOCK
A clock with the hours round the face in Roman block numerals, as illustrated in the sketch
fell down, and the dial broke into four parts. The numerals in each part in every case summed to a total of 20.
Can you show how the four parts of the clock face was broken?
34. THE PAINTED WINDOW
My room has a square window of 4 feet across and 4 feet down. I decided to get only half the area of the window painted. Even after the painting I found that the clear part of the window still remained a square and still measured 4 feet from top to bottom and 4 feet from side to side.
How is it possible?
35. ANIMALS ON THE FARM
My friend who owns a farm near Bangalore has five droves of animals on his farm consisting of cows, sheep and pigs with the same number of animals in each drove.
One day he decided to sell them all and sold them to eight dealers.
Each of the eight dealers bought the same number of animals and paid at the rate of Rs. 17 for each cow, Rs. 2 for each sheep and Rs. 2 for each pig.
My friend received from the dealers in total Rs. 301.
How many animals in all did he have and how many of each kind?
36. WHICH IS THE BETTER BARGAIN?
Recently while shopping in New Market in Calcutta, I came across two very nice frocks selling at a discount. I decided to buy one of them for my little girl Mammu. The shopkeeper offered me one of the frocks for Rs. 35 usually selling for 8/7 of that price and the other one for Rs. 30 usually selling for 7/6 of that price.
Of the two frocks which one do you think is a better bargain and by how much per cent?
37. WALKING ALL THE WAY
One day I decided to walk all the way from Bangalore to Tumkur. I started exactly at noon. And someone I know in Tumkur decided to walk all the way to Bangalore from Tumkur and she started exactly at 2 P.M., on the same day.
We met on the Bangalore-Tumkur Road at five past four, and we both reached our destination at exactly the same time.
At what time did we both arrive?
38. , THE TRAIN AND THE CYCLIST
A railway track runs parallel to a road until a bend brings the road to a level crossing. A cyclist rides along to work along the road every day at a constant speed of 12 miles per hour.
He normally meets a train that travels in the same direction at the crossing.
One day he was late by 25 minutes and met the train 6 miles ahead of the level crossing. Can you figure out the speed of the train?
39. SOMETHING FOR PROFIT
A friend of mine bought a used pressure cooker for Rs. 60. She somehow did not find it useful and so when a friend of hers offered her Rs. 70 she sold it to her. However, she felt bad after selling it and decided to buy it back from her friend' by offering her Rs. 80. After having bought it cooker again she felt that she did not really need the cooker. So she sold it at the auction for Rs. 90.
How much profit did she make? Did she at all make any profit?
40. THE DIGITAL GAME
There is a number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digits sum, the quotient would be 7. Can you find the number?
41. THE NUMBER AND THE SQUARE
In the diagram above the numbers from I to 9 are arranged in a square in such a way that the number in the second row is twice that in the first row and the number in the bottom row three times that in the top row.
I am told that there are three other ways of arranging the numbers so as to produce the same result.
Can you find the other three ways?
42. THE FAULTY MACHINE
A factory manufacturing flywheels for racing cars has ten machines to make them. The manufacturer knows the correct weight for a flywheel.
However, one day one of the machines begins to produce faulty parts either overweight or underweight.
How can the manufacturer find the faulty machine in only two weighings?
43. SQUARES AND RIGHT ANGLES
Can you make 2 squares and 4 right angled triangles using only 8 straight lines?
44. THE DISHONEST MERCHANT
An unscrupulous trader decided to make some extra profit onCoffee. He bought one type of coffee powder at Rs. 32 a kilo and mixed some of it with a better quality of coffee powder bought at Rs. 40 a kilo, and he sold the blend at 43 a kilo. That gave him a profit of 25 per cent on the cost.
How many kilos of each kind must he use to make a blend of a hundred kilos weight?
45. FOR THE CHARITIES
One day when I was walking on the road in New Delhi, a group of boys approached me for donation for their poor boys' fund. I gave them a rupee more than half the money I had in my purse. I must have walked a few more yards when a group of women approached me for donations for an orphanage I gave them two rupees more than half the money I had in my purse. Then, after a few yards I was approached by a religious group for a donation to the temple they were building. .1 gave them three rupees more than half of what I had in my purse.
At last when returned to my hotel room, I found that I had only one rupee remaining in my purse.
How much money did I have in my purse when I started?
46. THE NUMBER GAME
The product of three consecutive numbers when divided by each of them in turn, the sum of the three quotients will be 74.
What are the numbers?
47. THE SARI AND THE BLOUSE
I bought ft sari and a blouse for Rs. 110 at the New Market. The sari cost Rs. 100 more than the blouse, how much does the sari cost?
48. WHEN WAS HE BORN?
Some months back, this year, I was walking through the Central Park in New York.
I saw an intelligent looking little boy playing all by himself on the grass. I decided to talk to him and just as an excuse to start the conversation I asked him his age. A mischivious glint flickered in his eyes and he replied, 'Two days back I was ten years old, and next year I shall be thirteen. If you know what's today you'll be able to figure out my birthday and that'll give you my age.' I looked at him bewildered. How old was the boy?
49.THE WEIGHT OF THE BLOCK
A cement block balances evenly in the scales with three quarters of a pound and three quarters of a block. What is the weight of the whole block.
50. LUCRATIVE BUSINESS
Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs 2,000. They were both lucky, their business prospered and they were able to increase (heir capital by 50 per cent every three years.
How much did they have in all at the end of eighteen years.
51. THE OLD SHIP
Some years back I was travelling by a cargo ship from New Zealand to Tahiti. I was curious to look around the ship one day and in the boiler room I asked a man how old the ship was. He smiled and replied me in this way: 'The ship is twice as old as its boiler was when the ship was as old as the boiler is now. And the combined age of the ship and the boiler is thirty years.'
Can you figure out what is the age of the ship and of the boiler?
52- THE THREE CONTAINERS
We have three containers which hold 19, 13 and 7 ounces of liquid respectively. The 19 ounce container is empty but the 13 and 7 ounce containers are full. How can we measure out 10 ounces by using only the three above mentioned containers?
53. ON THE WAY TO MARKET
One morning I was on my way to the market and met a man who had a 4 wives. Each of the wives had 4 bags containing 4 dogs and each dog had 4 puppys.
Taking all things into consideration how many were going to market?
54. A MATTER OF DENOMINATOR
A fraction has the denominator greater than its numerator by 6. But if you add 8 to the denominator, the value of the fraction would then become 1. Can you find this fraction?
55. RIGHT FOOT FORWARD
A short man takes three steps to a tall man's two steps. They both start out on the left foot. How many steps do they have to take before they are both stepping out on the right foot together?
56. A PROBLEM OF SOCKS
Mammu wears socks of two different colours white and brown. She keeps them all in the same drawer in a state of complete disorder.
She has altogether 20 white socks and 20 brown socks in the drawer. Supposing she has to take out the socks in the dark, how many must she take out of the drawer to be sure that she has a matching pair?
57. A FAIR DIVISION
A rich farmer died leaving behind a hundred acres of his farm to be divided among his three daughters Rashmi, Mala and Rekha in the proportion of one-third, one-fourth and one-fifth respectively But Rekha died unexpectedly.
Now how should the executor divide the land between Rashmi and Mala in a fair manner?
58.HEADS I WIN TAILS I LOOSE
Durisg my last visit to Las Vegas in the U.S.A., I met a man who was an inveterate gambler. He took out a coin from his pocket and said to me, 'Heads I win, tails I loose. I'll bet half the money in my pocket.'
He tossed the coin, lost and gave me half the money in his pocket. He repeated the bet again and again each time offering half the money in his pocket.
The game went on for quite some time. I can't re-collect exactly how long the game went on or how many times the coin was tossed, but I do remember that the times he lost was exactly equal to the number of times that he won.
What do you think, did he, on the whole, gain or loose?
59. MATHEMATICS AND LITERATURE
Recently a publishing company which specialises in mathematical books, advertised the job opening of an assistant editor. The response was good. One hundred people applied for the position. The company, however, wanted to make their selection from the applicants who had some training in both mathematics and literature.
Of the one hundred applicants the company found that 10 of them had had no training in mathematics and no training in literature. Seventy of them had had some mathematical training and 82 had had some in literature.
How many applicant shad had training in both mathematics and literature?
60. PROBLEM FROM LILAVATI
Here is an ancient problem from Bhaskaracharya's Lilavati:
Beautiful maiden, with beaming eyes, tell me which is the number that, multiplied by 3, then increased by three-fourths of the product, divided by 7, diminished by one-third of the quotient, multiplied by itself, diminished by 52, the square root found, addition of 8, division by 10 gives the number 2?
Well, it sounds complicated, doesn't it? No, not if you know how to go about it.
61.UP THE LADDER
A man wafts to reach up a window 40 ft. from the ground. The distance from the foot of the ladder to the wall is 9 feet.
How long should the ladder be?
62. 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,'I have alto-gether 60 eyes and 86 feet between them.'
I drove off trying to calculate in my mind the exact number of ducks and pigs he had. What do you think is the answer?
63. THE EGG VENDOR AND HIS EGGS
Rasool, the man who delivers eggs to my home everyday, did not turn up one day. So when he came the next morning I demanded an explanation from him. He told me the following story:
The previous morning when he just came out of the house carrying a basketful of eggs oh his head to start his daily rounds and stepped on to the street, a car going full speed brushed against him and knocked down his basket destroying all the eggs. The driver, however, a thorough gentleman admitted his responsibility and offered to compensate him for'damages. But Rasool could not remember the exact number of eggs he had, but he estimated the number at between 50 and 100. He was also able to tell the gentleman that if the eggs were counted by 2's and 3's at a time, none would be left, but if counted by S's at a time, 3 would remain, and that he sold the eggs at 50 paise a piece.
The gentleman made some quick calculations and paid Rasool adequately.
How much did the gentleman pay Rasool?
64.SOME LUCK!
A society of farmers who own farms in the vicinity of my home town Bangalore, planned on holding a raffle and persuaded me to buy a ticket. The value of the ticket was Rs. 5. As I did not want to pay the entire amount myself, I asked my friend Radha to chip in with me, and offered to share with her in proportion the prize bounty if there was going to be any. She paid Rs. 2 and I paid the rest.
As luck would have it Bingo!... we won the first prize a flock of 50 sheep Good God!... Neither of us knew what to do with the sheep... Where would we take them in the first place? Neither of us had had any training as shepherds! So we decided to sell the sheep back to the farmers.
As per our original understanding 20 of the sheep belonged to Radha and 30 were mine.
However, I decided that we had won the prize because of our combined luck, and so we should divide its value equally.
The sheep 30 of mine and 20 of Radha's were sold, each at the same-price, and I paid her Rs. 150 to make the sum equal.
What was the value per sheep?
65.THE FAULTY WATCH
One day I found a strange thing happening to my watch the minute hand and the hour hand were coming together every sixty-five minutes. I decided to have it seen to.
Was my watch gaining or losing time, and how much per hour?
66. THE TRAINS AND THE FALCON
Two trains start towards each other from two stations 50 miles apart, at the same time and on a single track. Just when the trains' start out, a falcon leaves the first train and flies directly to the other train, and as soon as it reaches the second train, the bird starts back towards the first train. It continues doing so, flying backwards and forwards from one train to the other until the trains meet.
Both the trains travel at a speed of 25 miles per hour, and the bird flies at 100 miles per hour.
How many miles will the falcon have flown before the trains met?
67. WHICH IS MORE LUCRATIVE?
A businessman advertised two job openings for peons in his firm. Two men applied and the businessman decided to engage both or them. He offered them a salary of Rs. 2,000 per year; Rs. 1,000 to be paid every half year, with a promise that their salary would be raised if their work proved satisfactory. They could have a raise of Rs. 300 per year, or if they preferred, Rs. 300 each half year.
The two men thought for a few moments and then one of them expressed his wish to take the raise at Rs 300 per year, while the other man said he would accept the half yearly increase of Rs. 100.
Between the two men, who was the gainer, and by how much?
68. LITTLE MAMMU AND THE MARBLES
Little Mammu was playing marbles with her friend Nawal I heard her say to him, 'if you give me one of your marbles I'll have as many as you.' Nawal replied, 'you give me one of your marbles, and I'll have twice as many as you.'
I wondered how many marbles each had! What do you think?
69.A FAMILY MATTER
Fifteen years back my neighbour Mrs. Sareen had three daughters Sudha, Seema and Reema and their combined ages were half of hers. During the next five years Sonny was born and Mrs. Sareen's age equalled the total of all her children's ages.
After some years Kishu was born and then Sudha was as old as Reema and Sonny together. And now, the combined age of all the children is double Mrs. Sareen's age, which is, as a matter of fact, only equal to that of Sudha and Seema together. Sudha's age is also equal to that of the two sons.
What is the age of each one of them?
70. THE HIGH-RISE.
While in Canada, I visited a beautiful high-rise building in the Metropolitan City of Toronto. The manager of the building told me that the building consisted of different kinds of apartments large and small. Two room apartments were 5% in number, 2 1/2's—7% in number, 3's—15% in number, 3 1/2's—20% in number, 4 1/2—49% in number, 5's—33% in number, 5 1/2—12% in number, 6's—3% in number and in addition several 4 room apartments. Altogether the building contained 437 apartments.
Can you figure out how many apartments are there in each type, using round figures?
71. THE CURIOUS LICENSE PLATE
When I acquired my Mercedes-Benz car in Germany, the first thing I had to do was to get a license plate. 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 78633.
What was my actual license number?
72. LOOSE OR GAIN
A man I know runs a workshop in Calcutta. 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. 600 making a loss of 20% on one of them and a profit of 20% on the other.
Did he lose or gain in the transaction, and how much did each machine cost him?
73.ON THE SEE-SAW
Some days back, walking through the park, I saw a little girl trying play the see-saw all by herself. It take two to see-saw, but here was a girl who was ingenious enough to try and see-saw on her own.
I saw her trying a number of bricks to one end of the plank to balance her weight at the other.
I curiously noted that she just balanced against sixteen bricks, when these were fixed to 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.
Can you figure it out?
74. A PROBLEM OF COMBINATION
A box contains 12 marbles of three different colours green, yellow and blue 4 each.
If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out
75. THE SPECIAL NUMBER
There is a number whose double is greater than its half by 45.
Can you find this number?
76. SAWING THE TREE TRUNK
A heavy tree trunk can be sawed into a piece 12 ft long in one minute. How long will it take to saw it into twelve equal pieces?
77.THE BIGAMIST
A man I know in Bombay committed bigamy, by marrying two women at brief intervals, one without the knowledge of the other. Somehow he was not brought to the notice of the law and though, if expose the axe could fall on him any day, he decided to get the best out of the situation while it lasted.
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?
78. THE SPLIT
Can you split 34. parts into two parts such that 4/7 of one of the parts equals 2/5 of the other?
79. AT THE FETE
A number of us went out together to a charity fete one day. Our party consisted of 4 different professional groups, namely 25 writers, 20 doctors, 18 dentists and 12 bank employees. We spent altogether Rs. 1,330/.
Later it was found that five writers spent as much as four doctors, that twelve doctors 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?
80.AT THE STORE
I entered a store and spent one-half of the money that was in my purse. 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?
81. THE COUNTERFEIT COINS
During my last visit to the U.K. 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?
Can you split 34. parts into two parts such that 4/7 of one of the parts equals 2/5 of the other?
79. AT THE FETE
A number of us went out together to a charity fete one day. Our party consisted of 4 different professional groups, namely 25 writers, 20 doctors, 18 dentists and 12 bank employees. We spent altogether Rs. 1,330/.
Later it was found that five writers spent as much as four doctors, that twelve doctors 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?
80.AT THE STORE
I entered a store and spent one-half of the money that was in my purse. 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?
81. THE COUNTERFEIT COINS
During my last visit to the U.K. 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?
82. MULTIPLYING BACTERIA
Bacteria is known to multiply very rapidly.
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.
83. THE MATHEMATICAL SHEPHERD
Shepherd Gopal had a curious aptitude for mathematics and he was known around where he lived as the 'Counting Shepherd'.
A man passing through the meadow one day saw Gopal grazing a number of sheep and in the course of a short conversation 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 different parts, the difference between the two numbers will be the same as the difference between their squares. Now figure it out for yourself the number of sheep I own.'
Can you say just how many sheep Gopal had?
84.A PUZZLING NUMBER
There is a number which is greater than the aggregate of its third, tenth and the twelfth parts by 58. Can you find the number?
85. WHAT A COINCIDENCE?
A group of seven young men named Arun, Binoy, Chun-der, Dev, Edward, Fakruddin and Govind were recently engaged in a game. 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. 32 in his pocket.
Can you find out how much money each person had with him before they began the game?
Bacteria is known to multiply very rapidly.
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.
83. THE MATHEMATICAL SHEPHERD
Shepherd Gopal had a curious aptitude for mathematics and he was known around where he lived as the 'Counting Shepherd'.
A man passing through the meadow one day saw Gopal grazing a number of sheep and in the course of a short conversation 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 different parts, the difference between the two numbers will be the same as the difference between their squares. Now figure it out for yourself the number of sheep I own.'
Can you say just how many sheep Gopal had?
84.A PUZZLING NUMBER
There is a number which is greater than the aggregate of its third, tenth and the twelfth parts by 58. Can you find the number?
85. WHAT A COINCIDENCE?
A group of seven young men named Arun, Binoy, Chun-der, Dev, Edward, Fakruddin and Govind were recently engaged in a game. 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. 32 in his pocket.
Can you find out how much money each person had with him before they began the game?
86.THE IDLER
Ram Rakhan was well-known all around his neighbor hood for being a very lazy person. 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. 240 a month consisting of 30 days. How-ever, he set a condition that he would forefeit Rs. 10 a day for everyday that he idled. 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 just how many days Ram Rakhan worked and how many days he idled?
87.NUMBERS GAME
During one of my tours to Canada, I came across a very interesting game participated by two players.
A group of match sticks is placed on the table and then it is reduced in turn by each player 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?
88. FATHER AND SON
A father, I know, is 4 times his son's age. And in 30 years the son will be half as old as his father. How old are the father and son each now?
89. A BARGAIN IN GUAVAS
Recently. I bought some guavas at New market for Rs 1.20. Bat they were so small that I made the vendor throw in two extra guavas for the same price.
As I began to walk away the vendor 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. 1.20?
90. THE SIX MATCHES
Shown in the sketch are six matchsticks
91.NO CHANGE PLEASE!
I bad Rs. 1.15 in my purse in 6 coins, but I found that I could not give change for a rupee, nor of a half rupee, quarter rupee, ten paise or five paise. Which 6 coins did I have?
92. A DATE TO RECKON WITH
The date 8.8.64, meaning August 8, 1964 is a very interesting date, because the product of the first two numbers equals the third.
Can you find the year of the twentieth century which gives the greatest number of occasions of this kind?
93. GOLD FOR ALL OCCASIONS
Which -is worth more, a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces?
94. THE INK-SPOT
One day, Mammu, home from school set a very interesting problem to me. 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?
95- SPADE FOR A HEART
Here is a spade:
Can you cut the spade into three pieces that will fit together and form a heart?
Remember, no part of the material should be wasted.
96. THE NUMBER PUZZLE
There are two numbers with the difference of 3 between them and the difference of their squares is 51. Can you find the numbers?
97. A PROBLEM OF COINS
Can you place 10 coins in such a way that they lie in 5 straight lines and on each line there are 4 coins. There are at least two solutions.
98. THE SQUIRREL AND THE POST
I saw a squirrel climbing up a cylindrical post spirally, making the circuit in four feet.
Supposing the top of the post is sixteen feet high and three feet in circumference, how many feet does it travel to the top?
99. HEARTS APART
A man I know fell in love with a woman who lived 63 miles away. 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 miles per hour.
How far will each have traveled upon meeting?
100.THE CURFEW
In most States in India the law for the sale of alcoholic beverages provides that beer cannot be sold after a certain hour. However, in some States the law permits a customer 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. 8 in payment for the beer he had consumed, asking them to share the money in proportion to the quantity of beer they have contributed to him.
How should this money be equitably divided between the two men?
101. A PROBLEM OF AGE
Recently I met a woman I hadn't seen in a long time. In the course of conversation she said, 'Do you know some-thing funny? If you reverse my own age, the figures represent my husband's age. He is of course senior to me and the difference between our ages is one-eleventh of their sum.
Can you find out the woman's age as well as her husband's age
102.THE CIRCULAR NUMBERS
Here is a sketch:
103. THE PASSENGER TRAIN AND THE GOODS TRAIN
Two trains, a passenger train and a goods train are running in the same direction on parallel railway tracks. 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?
104. RICE FOR THE FESTIVAL
At a certain festivity a rich man decided to distribute free rice to deserving people. He had altogether 100 kilos of rice and he wanted to distribute the grain to 100 people in such a manner that each old person received three kilos, each young person two and each child half a kilo. How many old persons, young persons and children were there?
105. THREES TO MAKE THIRTY-ONE
Can you write 31 using only the digit 3 five times?
106. 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; eight ninths 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 imprisoned in it. Tell me the number of bees?
167.WHAT WERE YOU DOING WHEN THE LIGHTS WENT OUT ?
Last time there was load shedding in Calcutta, I was reading a 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?
168. THE DOTTED SQUAKE
Twenty-five dot are arranged in a square formation in 5 rows of 5, as shows in the sketch:
Can you connect 12 of these dots with straight fees to form a perfect cross which has five dots inside it and 8 dots outside?
109. STORY OF THE THREE FARMERS
Three farmers paid Rs. 1,000 for a small pasture. One farmer grazed his 9 mules, another his 12 cows for twice the time and the last man put in some goats for 2 1/2 times as the second man's cows and paid half the cost of the pasture.
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?
110. UP THE STREAM DOWN THE STREAM
While up stream, a crew can row a boat in eight and four-sevenths minutes. 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?
111. STAFF AND THE STEEPLE
A five feet long staff casts a shadow 2 feet long. Can you find the height of a steeple whose shadow at the same hour, is 120 ft. long?
112. WINE AND WATER
While I was talking to a chemist one day, he set me this interesting problem:
'I decided to mix some wine spirits and water. 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.'
Can you tell what proportion of spirits to water did the spirits of wine bottle then contain?
113. THE LONG TUNNEL
A train is one mile long. 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?
114. THE HORSE, THE COW AND THE SHEEP
A man owns a horse, a cow and a sheep. He also owns a pasture to graze them all.
If the horse and cow can eat the contents of the pasture in 40 days, while the horse and sheep can do it in 60 days and the cow and the sheep in 90 days, how long should it take all of them eating together?
115. THE TWO MATHEMATICAL MEN
In Bangalore there i* a well known Science Institute. During a visit I asked two of the men to tell me their ages. One replied, 'One of our ages subtracted from the other's equals 30.'
Then the other man spoke, 'Our ages multiplied together equal 1624'. What were their ages?
116. A QUESTION OF MILEAGE
If 5 liters were used on a car which hat traveled 20,000 miles, how many miles did each liter sustain, if all the liters were used equally in sustaining this mileage?
117. A PROBLEM OF DISSECTION
The shape shown in the sketch below, obviously, is that of a square attached to half of another similar square, divided diagonally:
118. THE SIXTEEN FOURS
How can you make a total of 1,000 by using sixteen 4's?
119. THE STRANGE TWO NUMBERS
There are two whole numbers, whose 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?
120. HOW MUCH?
I have two 10 paise coins. If 4/5 of what I have is 8/9 of what you have, how much do you have?
121. THE 'MIXED DOUBLE'
Four married couples played a tennis tournament of 'mixed doubles'. 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?
122.THE BARGAIN
Sometimes one is mystified at the startling reductions some people make in their prices and wonders on what principle the reductions are based. To quote an example three years ago a friend offered me a used typewriter for Rs. 1024. A year later he offered me the same for Rs. 640 and last year he wanted Rs. 400 and now he is willing to sell it to me for Rs. 250. 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?
123. AT THE FAIR
At the fair I bought 6 pineapples and two jack fruits for Rs. 15. If I could have bought 4 more pineapples for Rs. 14 than jack fruits for Rs. 9. What would be the price of each?
124. SECTIONS OF A NECKLACE
i have five sections of a necklace each section consisting of four links. 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.l to cut open a link and Re. 1 to solder it together again.
What is the cheapest method and how much should it cost me to get the five pieces joined together into one full necklace?
125. THE PROBLEM OF SQUARE BOARDS
I have three square boards, the surface of the first containing five square feet more than the second, and the second containing five square feet more than the third.
Can you find the exact measurements for the sides of the boards?
126. AGE OF DEMOCHARES
This is an ancient problem dating back to about 310 A.D.
Demochares has lived one-fourth of his life as a boy, one-fifth as a youth, one-third as a man, and has spent thirteen years in his dotage. How old is Demochares?
127. THE AGE OLD PROBLEM
The combined ages of Reena and Seena are 44 years and Reena is twice as old as Seena was when Reena was half as old as Seena will be when Seena is three times as old as Reena was when Reena was three times as old as Seena.
How old is Reena?
128. THE PAINTED CUBE
A cubes object 3"x3"x3" is painted blue on all the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1" x 1" x 1", how many 1" cubes do have any painted surfaces?
129. SMOKING NOT PROHIBITED
A standard-sized cigarette can be rolled out of 6 standard-sized cigarette butts. How many cigarettes can be made and smoked from 36 butts?
130. MATHEMATICAL TAXI DRIVER
Some times small town taxi drivers can be very rude. 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?
131. DIVIDING THE LOAD EQUALLY
On my return to India, after an extensive tour of America, I waited for the two crates I had sent by ship as unaccompanied baggage.
When they finally arrived, I had them cleared through the Customs and engaged three labourers to carry them to my home 3 miles distant. I was going to pay them Rs. 8 each for this task.
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 ?
132. MR. PORTCHESTER'S PROBLEM
Last time I saw Mr. Portchester" in London he was facing a serious problem pouring his wine from one vessel to the other.
Mr. 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 it!
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.
133. 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?
134. LONGFELLOW AND HIS BEES
Here is a simple arithmetical puzzle set by Long-fellow in his own flowery, poetical language.
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?
135. THE TENNIS TOURNAMENT
A singles tennis tournament is held in which 30 men participate. If a player is eliminated as soon as he loses a match, how many matches are required to determine the winner?
136.THE TRIANGLES
How many triangles, of any size, are there in this star:
137. DRIVING THROUGH THE COUNTRY
I decided to drive through the country leisurely, and on the first day I did only 7 miles. On the last day I did 51 miles, increasing my journey 4 miles each day. How many days did I travel and how far?
138. THE SABBATH DAY
Christians hold the first day of the week as Sabbath, the Jews the seventh, and the Turks the sixth.
How can these three, have each his own true Sabbath on the same day ?
139. THE PUZZLED ARTIST
An artist wanted to paint a picture on a canvas which would allow for a margin of 4 inches on top and on bottom and two inches on each side. 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?
140. THE MYSTERY OF NUMBER ELEVEN
Can you find the largest possible number containing any 9 of the 10 digits, considering O also as a number, that is divisible by 1, without a remainder?
141. THE ROSE GARDEN
In my bungalow in Bangalore I have a beautiful rose garden.
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?
142. SQUARES WITHIN SQUARE
In the illustrations below, how many squares are there?
143. THE FARMER AND THE ANIMALS
farmer Thimmayya bought some mules at Rs. 50 each, sheep at Rs. 40 each, goats at Rs. 25 each, and pigs at Rs. 10 each. The average price of the animals per head worked to Rs. 30.
How many animals of each kind did he buy?
144. THE MANGO THIEVES
One night three naughty boys stole a basketful of mangoes from a garden, hid the loot and went to sleep. 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. He then took one mango, ate it up, and took 1/3 of the rest, hid them separately and went back to sleep.
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 1/3 of. the remainder, hid them separately and went back to sleep. 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 totaled 1 more than could be divided into three equal parts.
How many mangoes did the boys steal?
145. THE HOUSE WHERE SHE LIVES
It was at a cocktail party in New York that I met Stephanie. 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 house:
'I live in a long street. Numbered on my side are the houses 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 many as five hundred.
Can you find Stephaine's house number?
146. A MATTER OF RUPEES AND PAISES
I have a money pouch containing Rs. 700. There are an equal number of 25 paise coins, 50 paise coins and one rupee coins.
How many of each are there?
147. SAWING THE CUBE
We have a wooden cube of 3" on a side and we have a buzz-saw. 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 ?
148. THE TWO TRAINS
Two trains start at the same time, one from Bangalore to Mysore and the other from Mysore to Bangalore. 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?
149.THE SQUARES
Can you find four numbers such that the sum of every two and the sum of all four may be perfect squares?
150. THE ARITHMETICAL LANDLADY
While house hunting in London, I came across a very good base hold property. 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 go!
How many years of unexpired lease did the property have?
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