When the day before yesterday was referred to as the day after tomorrow, the day that was then called yesterday was as far away from the day we now call tomorrow as yesterday is from the day which we shall now be able to speak of last Monday as a week ago yesterday. What day is it?
There are three houses, and three utilities: gas, electricity and water. Your task is to connect each house to all three utilities. Therefore each house will have three lines and each utility will also have three lines. However, you cannot cross lines. You cannot pass lines through houses or utilities. You cannot share lines. Can you draw the 9 lines required?
During a recent plane and train spotting contest, five eager entrants were lined up ready to be tested on their spotting ability. They had each spotted a number of planes (26, 86, 123, 174, 250) and a number of trains (5, 42, 45, 98, 105). From the clues below, can you determine what colour anorak each was wearing, their position, their age (21, 23, 31, 36, 40) and the number of trains and planes spotted?
1. Simon spotted 44 less trains than planes.
2. Keith was 36 years old.
3. The person on the far right was 8 years younger than Simon, and spotted 174 planes.
4. James was wearing a beige anorak and spotted 37 trains fewer than Simon.
5. The person who was wearing a green anorak, was 19 years younger than the person to his left.
6. Steven spotted 105 trains and 250 planes.
7. The person in the centre was 31 years old, was wearing a blue anorak and spotted 42 trains.
8. Alan, who was on the far left, spotted 26 planes, and spotted 72 trains more than planes.
9. The person who was wearing a red anorak, was 4 years older than Keith and was not next to the person wearing a blue anorak.
10.The person who was next to the 31 year old but not next to the person who spotted 26 planes, was wearing a orange anorak, and spotted 45 trains.
Solution
# Name Anorak Age Planes Trains
1 Alan red 40 26 98
2 Steven green 21 250 105
3 Simon blue 31 86 42
4 Keith orange 36 123 45
5 James beige 23 174 5
You have the misfortune to own an unreliable clock. This one loses exactly 20 minutes every hour. It is now showing 8.00am and you know that is was correct at midnight, when you set it. The clock stopped 10 hours ago, what is the correct time now?
Answere
10:00pm: since the clock is losing 20 minutes every hour, for every real hour that has passed, the clock will only show 40 minutes. Since the clock shows 8:00am, we know that 480 clock minutes have passed. This therefore equals 720 real minutes and hence 12 hours. The clock stopped 10 hours ago and so the time must now be 10.00pm.
100 prisoners are locked up in individual cells, unable to see, speak or communicate in any way with each other. There is a central living room with a single light bulb, the bulb is initially off and no prisoner can see the light bulb from their own cell.
Every day, the warden picks a prisoner at random, and that prisoner goes to the central living room. While there, the prisoner can toggle the bulb if they wish (off to on, or on to off). At any point, any prisoner can claim that all 100 prisoners have been to the living room. If they are wrong then all 100 prisoners will locked up forever! However, if they are correct all of the prisoners are set free.
Before the random picking begins, the prisoners are allowed to discuss a plan. What is their best plan to determine when all 100 prisoners have visited the living room?
Answere
One person is chosen as the Counter. When a prisoner enters the living room, if the light is off they turn it on - but only if they have never switched it on before. When the Counter enters the room, if the light is on, they will turn it off. When the Counter has turned the light off 99 times, they will know that 99 prisoners have turned it on, and therefore every one of them has visited the living room and this will allow them all to be set free. QED.
We have been quite lucky with the weather recently, it has got steadily warmer each day, over the last five days. By this, I mean that the temperature rose by the same amount each day. The average temperature was 2 degrees C and I know it froze on two occasions. I also know the product of the temperatures was over 500 degrees but below 2,000 degrees and each temperature was an integer. What were the last 5 temperatures?
Answere :
The temperatures were -6, -2, 2, 6, 10 degrees C. Each day increased by a steady 4 degrees.
An errand boy was collecting boxes of cakes for the Summer Fair. He collected boxes from various people in his local village and each box was labelled in Roman Numerals with the number of cakes in the box. By the time the errand boy had collected the last box, he was quite hungry, and really needed to eat at least one cake. Luckily the last box was marked with an underlined XI, meaning there were 11 cakes in it. He had the brain wave of turning the box around and underlining the number again to give the impression there were IX, that is 9 cakes. However, after eating the 2 cakes, he was still hungry. How can he change the number shown on the box again and eat more cakes?
Answere:
He could add an S to the IX to give the impression there were supposed to be 6 cakes in the box, so eating 5 cakes in total.
There are 5 houses in 5 different colours. In each house lives a person of a different nationality. The 5 owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet. Using the clues below can you determine who owns the fish?
The Brit lives in a red house.
The Swede keeps dogs as pets.
The Dane drinks tea.
The green house is on the immediate left of the white house.
The green house owner drinks coffee.
The person who smokes Pall Mall rears birds.
The owner of the yellow house smokes Dunhill.
The man living in the house right in the middle drinks milk.
The Norwegian lives in the first house.
The man who smokes Blend lives next door to the one who keeps cats.
The man who keeps horses lives next door to the man who smokes Dunhill.
The owner who smokes Blue Master drinks beer.
The German smokes Prince.
The Norwegian lives next to the blue house.
The man who smokes Blend has a neighbour who drinks water.
Answere:
This puzzle is usually attributed to Einstein, who may or may not have written it. The German owns the fish and the table below details the full answer:
Nationality: Norweg Dane Brit German Swede
Colour : Yellow Blue Red Green White
Beverage : water tea milk coffee beer
Smokes : Dunhill Blend Pall Mall Prince Blue Master
Pet : cats horses birds fish dogs
A long train, half a kilometre long, is about to enter a long tunnel. The tunnel is 10k long. If the speed of the train is 35kph, how long will it take for the entire train to pass through the tunnel - from the front of the train entering to the end of the train leaving the tunnel?
Answere:
The train takes 18 minutes. The front of the train has to initially travel 10k to leave the tunnel, and then a further 0.5k until the rear of the train has left the tunnel - a total of 10.5k. Which takes 60 * (10.5 / 35) = 18 minutes.
Messrs Butcher, Baker, Carpenter and Plumber are currently attending another convention. No-one is currently, nor ever has been in the same profession as their name and no-one has had the same profession twice. Alan is now a butcher, whereas Mr Brian Butcher used to be a baker. The person who is now a carpenter used to be a butcher. Charlie has never been a baker, Mr Darren Carpenter has never been a butcher and Mr Baker is not now a carpenter. Can you determine their full names, along with their current and previous professions?
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Answere
Current Previous
Alan Baker Butcher Carpenter
Brian Butcher Plumber Baker
Charlie Plumber Carpenter Butcher
Darren Carpenter Baker Plumber
Assume for a moment that the earth is a perfectly uniform sphere of radius 6400 km. Suppose a thread equal to the length of the circumference of the earth was placed along the equator, and drawn to a tight fit.
Now suppose that the length of the thread is increased by 12 cm, and that it is pulled away uniformly in all directions.
By how many cm. will the thread be separated from the earth's surface?
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Answer
The cicumference of the earth is
= 2 * PI * r
= 2 * PI * 6400 km
= 2 * PI * 6400 * 1000 m
= 2 * PI * 6400 * 1000 * 100 cm
= 1280000000 * PI cm
where r = radius of the earth, PI = 3.141592654
Hence, the length of the thread is = 1280000000 * PI cm
Now length of the thread is increasd by 12 cm. So the new length is = (1280000000 * PI) + 12 cm
This thread will make one concentric circle with the earth which is slightly away from the earth. The circumfernce of that circle is nothing but (1280000000 * PI) + 12 cm
Assume that radius of the outer circle is R cm
Therefore,
2 * PI * R = (1280000000 * PI) + 12 cm
Solving above equation, R = 640000001.908 cm
Radius of the earth is r = 640000000 cm
Hence, the thread will be separatedfrom the earth by
= R - r cm
= 640000001.908 - 640000000
= 1.908 cm
