Your sock drawer contains ten pairs of white socks and ten pairs of black socks. If you're only allowed to take one sock from the drawer at a time and you can't see what color sock you're taking until you've taken it, how many socks do you have to take before you're guaranteed to have at least one matching pair?
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97 baseball teams participate in an annual state tournament. The champion is chosen for this tournament by the usual elimination scheme. That is, the 97 teams are divided into pairs, and the two teams of each pair play against each other. The loser of each pair is eliminated, and the remaining teams are paired up again, etc. How many games must be played to determine a champion?
Ans 96. All teams but the champion team will lose a game exactly once.
At a family reunion were the following people: one grandfather, one grandmother, two fathers, two mothers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, one father-in-law, one mother-in-law, and one daughter-in-law. But not as many people attended as it sounds. How many were there, and who were they?
Ans There were two little girls and a boy, their parents, and their father's parents, totaling seven people.
Isaac and Albert were excitedly describing the result of the Third Annual International Science Fair Extravaganza in Sweden. There were three contestants, Louis, Rene, and Johannes. Isaac reported that Louis won the fair, while Rene came in second. Albert, on the other hand, reported that Johannes won the fair, while Louis came in second.
In fact, neither Isaac nor Albert had given a correct report of the results of the science fair. Each of them had given one correct statement and one false statement. What was the actual placing of the three contestants?
Ans Johannes won,Rene came in second,Louis in Third
If A= 1999^1999
B = sum of digits of A
C = sum of digits of B
D = sum of digits of C
Find sum of digits of D.
For solution visit the blog tomorrow...................
Place three silver coins and three copper coins in a row like this:
Moving only two adjoining coins at a time can you in three moves, change it to this:
There are 16 matchsticks arranged in 4 rows
---------------1--------------row 1
-------------2 3 4 ----------- row 2
-----------5 6 7 8 9 ----------row 3
-----10 11 12 13 14 15 16 ----row 4
A player can remove as many matchsticks he wants but all from a particular row(he gets to chose any row). The player who removes the last stick wins. If two players play this game alternatively by removing sticks in the way described above what would be the strategy the players should follow to maximize their winning chances (i.e try not to lose, ofcourse one of the players has to lose but it should be decisive, in the sense player 1 wins becouse he starts to play first and follows the strategy all along the game).
Once again, there are three rooms, containing yet again one lady and two tigers. The signs on the doors of the rooms this time are:
Room1:A TIGER IS IN ROOM II
Room2:A TIGER IS IN THIS ROOM
Room3:A TIGER IS IN ROOM I
The sign on the door of the room containing the lady is true, but at least one of the other two signs is false. What should your choice be?
To know the solution view the blog tomorrow . . . . . .
There are now three rooms to choose from. Only one contains a lady while the other two contain tigers. The signs on the doors of the three rooms are as follows:
Room1:A TIGER IS IN THIS ROOM
Room2:A LADY IS IN THIS ROOM
Room3:A TIGER IS IN ROOM II
At most one of the three signs is true. Which room contains the lady?
Solution::
Signs II and III contradict each other, so at least one of them is true. Since at most one of the three signs is true, then the first one must be false, so the lady is in Room I.
You are confronted with three bankers, one from Albania, one from America, and one from Austria. You do not know which is which, but you do know that one always tells the truth, a second always lies, and a third sometimes lies and sometimes tells the truth. How many questions are needed to identify their respective nationalities?
Solution::
Not more than 4 questions will be necessary, but sometimes (in one case out of three) 3 questions will suffice.
1st question (addressed to the 1st banker): "If I asked you whether the 2nd banker is an equivocator (i.e. a person who sometimes tells lies and sometimes tells the truth), would you say yes?" If he answers yes, we know that the 3rd banker cannot possibly be an equivocator and we accordingly address our subsequent questions to him; if the 1st banker answers no, we know that the second banker is not an equivocator and we ask him our subsequent questions.
2nd question (addressed to the 3rd or the 2nd banker depending on whether the answer to the 1st question was yes or no respectively): "If I asked you whether the 1st banker is Albanian, would you answer yes?" If the answer is yes, the 3rd question (asked to the same person as the 2nd question) is: "If I asked you whether the 2nd banker is American, would you say yes?" By elimination, we know the identity of the 3rd banker also.
If, on the other hand, the answer to the 2nd question is no, two further questions will be required (a total of 4). 3rd question: "If I asked you whether the 1st banker is American, would you say yes?" If the answer is yes, we know that the 1st banker is American; if it is no, we know that he is Austrian. In either case we require one further question (the 4th question) to identify the two remaining bankers.
Since the 1st question 'eliminates' the equivocator, we know that the remaining questions are addressed to someone who is consistently honest or consistently dishonest; and the questions are so worded that the answers will be the same whether he is honest or dishonest. The moral is that consistently dishonest people are far more dependable than those who occasionally tell the truth.
In his Last Will and Testament the Sheik says that anything not specifically bequeathed to a member of his family shall go to the Great Mosque. In the clause concerning his camels he makes the following provisions: "My eldest son will get half my camels, my middle son will get one-third, and my youngest son one-ninth."
Since there are seventeen camels, the sons do not know how to divide them without cutting one of the camels into pieces. While they are discussing the difficulty, a wise man (the very same sage from Puzzle #1) appears on a camel. The sons ask him what they should do. "Quite simple," he says. "Let us add my camel to yours. There are then eighteen camels, so the eldest of you will get nine, the second will get six, and the youngest two, which makes a total of seventeen, precisely the number that the Sheik left you." The sons divide the seventeen camels accordingly, and the wise man rides off on his own camel. Is this arrangement satisfactory from everyone's point of view? If not, why not?
Solution::
No. Though each of the sons gets more than was specified by their father's Will, and though the camels happily escape mutilation, the Will itself has been violated, because it provided that 17/18 of a camel (i.e. 17 minus 17/2 minus 17/3 minus 17/9) was to remain after the divison between the sons. The Great Mosque (the residuary legatee) and anyone who believed that the term of the Sheik's Will should be strictly observed would be dissatisfied with the wise man's arrangement.
On his deathbed the Grand Vizier, who has two sons, announces that his entire fortune will go to the son whose horse loses a race in which the two of them must compete simultaneously. The sons, both keen horsemen, are accustomed to winning races but do not know how to lose them. Since in this case both are determined to lose, they do not see how such a race is possible, but a wise man explains how it can be managed. What simple method does he suggest?
Solution::
Each son rides the other son's horse
If a lady is in Room I, then the sign on the door is true, but if a tiger is in it, the sign is false. In Room II, the situation is the opposite: a lady in the room means the sign on the door is false, and a tiger in the room means the sign is true. Again, it is possible that both rooms contain ladies or both rooms contain tigers, or that one room contains a lady and the other a tiger. The signs on the doors of the rooms are as follows:
Room1:BOTH ROOMS CONTAIN LADIES
Room2:BOTH ROOMS CONTAIN LADIES
Which door should you open (assuming, of course, that you prefer the lady to the tiger)?
Solution:
Since the signs say the same thing, they are both true or both false. Suppose they are true; then both rooms contain ladies. This would mean in particular that Room II contains a lady. But we have been told that if Room II contains a lady, the sign is false. This is a contradiction, so the signs are not true; they are both false. Therefore, Room I contains a tiger and Room II contains a lady, so you should choose Room II.
This is the first of a series of classic "Lady or the Tiger" puzzles. You have to choose between two rooms. Each of them contains either a lady or a tiger, but it could be that there are ladies in both rooms, or tigers in both rooms, or one could contain a lady while the other contained a tiger. There are signs on the doors of the rooms:
Room1::AT LEAST ONE OF THESE ROOMS CONTAINS A LADY .
Room2::A TIGER IS IN THE OTHER ROOM .
Solution::
The statements are either both true or both false. Which room should you pick?
If Sign II is false, then Room I contains a lady; hence at least one room contains a lady, which makes Sign I true. Therefore, it is impossible that both signs are false. This means that both signs are true (since we are given that they are either both true or both false). Therefore, a tiger is in Room I and a lady in Room II, so again you should choose Room II.
This is the first of a series of classic "Lady or the Tiger" puzzles. You have to choose between two rooms. Each of them contains either a lady or a tiger, but it could be that there are ladies in both rooms, or tigers in both rooms, or one could contain a lady while the other contained a tiger. There are signs on the doors of the rooms:
Room 1:IN THIS ROOM THERE IS A LADY, AND IN THE OTHER ROOM THERE IS A TIGER .
Room 2:IN ONE OF THESE ROOMS THERE IS A LADY, AND IN ONE OF THESE ROOMS THERE IS A TIGER .
One of the signs is true, but the other one is false. Which door would you open (assuming, of course, that you preferred the lady to the tiger)?
Solution::We are given that one of the two signs is true and the other false. Could it be that the first is true and the second false? Certainly not, because if the first sign is true, then the second sign must also be true - that is, if there is a lady in Room I and a tiger in Room II, then it is certainly the case that one of the rooms contains a lady and the other a tiger. Since it is not the case that the first sign is true and the second one false, then it must be that the second sign is true and the first one false. Since the second sign is true, then there really is a lady in one room and a tiger in the other. Since the first sign is false, then it must be that the tiger is in Room I and the lady in Room II. So you should choose Room II.
A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there?
To know the solution view the blog tomorrow . . . . . .
9 cards are there. u have to arrange them in a 3*3 matrix.cards are of 4 colors.they are red,yellow,blue,green.conditions for arrangement: one red card must be in first row or second row.2 green cards should be in 3rd column.Yellow cards must be in the 3 corners only. Two blue cards must be in the 2nd row. Atleast one green card in each row.
Solution::
Yello Red Gren
Blu Blu Gren
Yello Gren Yello
There are some chicken in a poultry. They are fed with corn One sack of corn will come for 9 days. The farmer decides to sell some chicken and wanted to hold 12 chicken with him.He cuts the feed by 10% and sack of corn comes for 30 days. So initially how many chicken are there?
Ans::36
There are five thieves, each loot a bakery one after the other such that the first one takes 1/2 of the total no. of the breads plus 1/2 of a bread. Similarly 2nd, 3rd,4thand 5fth also did the same. After the fifth one no. of breads remained are 3. Initially how many breads were there?
ans : 31
There is a 5digit no. 3 pairs of sum is eleven each.
Last digit is 3 times the first one.
3 rd digit is 3 less than the second.
4 th digit is 4 more than the second one.
Find the digit.
ans : 25296
In a soap company a soap is manufactured with 11 parts.For making one soap you will get 1 part as scrap. At the end of the day u have 251 such scraps. From that how many soaps can be manufactured?
ans: 22 + 2+ 1 = 25.
No. of animals is 11 more than the no. of birds. If the
ans: birds:11,animals:22
A family I know has several children. Each boy in this
Ans: 4 boys and 3 girls.
9 cards are there. U have to arrange them in a 3*3 matrix.Cards are of 4 colors.They are red,yellow,blue,green.
Conditions for arrangement:
One red card must be in first row or second row.
2 green cards should be in 3rd column.
Yellow cards must be in the 3 corners only.
Two blue cards must be in the 2nd row.
At least one green card in each row.
Solution:
Yellow Red Green
Blue Blue Green
Yellow Green Yellow
A fly sitting on one of the hours around the rim of a 12 hr clock took it into its primitive head ( i.e. decided ) to jump forward the same number of hours as the number of the hour it was first sitting on. It continued in this way with each jump moving the same number of hours until it was back where it had started. What are the chances that it visited all the hours before getting back to where it started ?
Ans: There are 4 chances out of 12 for the fly to sit.They are as follows
1 2 3 4 5 6 7 8 9 10 11 12 1
5 10 3 8 1 6 11 4 9 2 7 12 5
7 2 9 4 11 6 1 8 3 10 5 12 7
11 10 9 8 7 6 5 4 3 2 1 12 11
Two painters are painting plaques for the numbers of the houses of Puzzle Street (which are consecutive starting with one). In the time it takes the younger one to paint 4 digits, the older painter paints 5 digits. The younger begins with the numbers 1, 2, 3.... and the older painter with the last ones. They paint the last house plaque at the same time and each one has painted the same number of plaques. How many houses are there on the street ?
Ans: There are totally 45 houses.
A fly sitting on one of the hours around the rim of a 12 hr clock took it into its primitive head ( i.e. decided ) to jump forward the same number of hours as the number of the hour it was first sitting on. It continued in this way with each jump moving the same number of hours until it was back where it had started. What are the chances that it visited all the hours before getting back to where it started ?
Ans: There are 3 chances out of 12
4,8,4
8,4
12
1. There are 5 houses in five different colors.
2. In each house lives a person with a different nationality.
3. These five owners drink a certain drink, smoke a certain brand of cigar, and keep a certain pet.
4. No owners have the same pet, smoke the same brand of cigar or drink the same drink.
The question is - who owns the fish?
Hints
* the British lives in the red house.
* the Sweden keeps dogs as pets.
* the Denmak drinks tea.
* the green house is on the left of the whitehouse.
* 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 center drinks milk.
* the Norwegian lives in the first house.
* the man who smokes blends lives next to the one who keeps cats.
* the man who keeps horses lives next to the man who smokes Dunhill.
* the owner who smokes bluemaster drinks beer.
* the German smokes prince.
* the Norwegian lives next to the blue house.
* the man who smokes blend has a neighbor who drinks water.
Ans: German
Two painters are painting plaques for the numbers of the houses of Puzzle Street (which are consecutive starting with one). In the time it takes the younger one to paint 4 digits, the older painter paints 5 digits. The younger begins with the numbers 1, 2, 3.... and the older painter with the last ones. They paint the last house plaque at the same time and each one has painted the same number of plaques. How many houses are there on the street ?
Find the next number in the series of 9 numbers 11 ,4, 9, 164
Ans: 25
nth number in the series=
(n) * (The first prime number starting with digit n)
1*11 2*2 3*3 4*41 5*5 ….
Chaitu,Balaji & Dileep sit at a round table. On the table, there are 12 cups full of tea. Every day, at 6 o'clock, each of the table-companions move two places to his right or left (if the place is free) and drinks all the tea at that place, if there is any in his cup. After the place changing, Karthik fills one of the cups. In this way, at least how many cups can Karthik keeps full ?
Ans: Karthik can always keep at least 7 cups filled. He only has to seat the three dinners alternating. Thus 6 cups will be always untouched. And he can always fill 1.
How many pages are there in a book, if there are a total of 100 digits used to number its pages?
Ans: There are a total of 100 digits. Therefore the number of pages is less than 100.now there are only 9 single digit numbers (of course excluding 0).Thus as long as the number of the last page is less than 100.the total will always be an odd number (remember 9).Thus the above question is not possible.
A man lives in his house. He also works out of his house and his job is very important. Everyday the man must sleep with the lights on to avert from tragedy. One night the man gets so sick of the light he turns it out for the night. The next morning he reads the newspaper, takes out a gun, and shoots himself. Where did the man live?
Ans:A light house
The fly alights on one of the hours around the rim of a 12- hr clock. It always jumps forward the same number of hours as the number of the hour it has just alighted on. What are the chances of getting back to where it started?
Ans: There are 3 chances out of 12
4,8,4
8,4
12
I go up and down at the very same time I exist throughout life on only one side I am very old and yet may be new . You might see me but I'll never see you. Who am I?
Ans: The moon
Find the next number in the series 11 12 20 23 33 46
Ans: All the numbers given are the Fibonacci numbers in increasing bases starting 2 .
Therefore, 12 = 5base3, 20=8base4, 23=13base5 etc ... answer = 67 which is 55base8
State the words in the English language which have the same pronunciation but the two words have the exact opposite meaning.
Ans: raise and raze
raise as in to build up, construct and raze as in to demolish, tear down.
Hole and whole are close but not as exact as raise/raze
A man walks into a bar and asks the barman for a glass of water. The barman pulls out a gun and points it at the man. The man says: 'Thank you' and walks out. Why?
Ans: The man had hiccups. The barman recognized this from his speech and drew the gun in order to give him a shock. It worked and cured the hiccups-- so the man no longer needed the water.
A woman had two sons who were born on the same hour of the same day of the same year. But they were not twins. How could this be so?
Ans: They were two of a set of triplets (or quadruplets etc.)
A man went to a party and drank some of the punch. He then left early.Everyone else at the party who drank the punch subsequently died of poisoning. Why did the man not die?
Ans: The poison in the punch came from the ice cubes. When the man drank the punch, the ice was fully frozen. Gradually it melted, poisoning the punch.
Why is it better to have round manhole covers than square ones?
Ans: A square manhole cover can be turned and dropped down the diagonal of the manhole. A round manhole cannot be dropped down the manhole. So for safety and practicality, all manhole covers should be round.
One day Pradeep celebrated his birthday. Two days later his older twin brother, Prahlad, celebrated his birthday. Why?
Ans: At the time she went into labor, the mother of the twins was travelling by boat. The older twin, Terry, was born first early on March 1st. The boat then crossed a time zone and Kerry, the younger twin, was born on February 28th.Therefore, the younger twin celebrate his birthday two days before his older brother.
A man is wearing all black i.e., black shoes, socks, trousers, jumper , gloves and balaclava. He is walking down a black street with all the street lamps off. A black car is coming towards him with its light off too but some how manages to stop in time. How did the driver see the man?
Ans: It was day time
A man and his son are in a car accident. The father dies on the scene, but the child is rushed to the hospital. When he arrives the surgeon says "I can't operate on this boy, he is my son!" How can this be?
Ans: The surgeon is the boy's mother
Her Majesty's prison at Dungenham is for short-term offenders. They have their exercise day on Friday. The long-term offenders at Cellfield call their governor Dracula. The prison whose governor is nicknamed Attila has 275 inmates. Lockham is the only prison for female offenders and it is visited by a parson called Cringe. The prison with 103 inmates has its exercise day on Wednesday, but the visiting parson's name is not Blather. The prison whose governor is nicknamed Scrooge has its exercise day earlier in the week than the one with 230 inmates. The high-security prison has a governor nicknamed Napoleon. Klink is the prison visited by the parson called Waffle, while parson Lamb is not the one who visits the prison with its exercise day on Tuesday. There are more inmates at Cellfield than at Klink and no one has their exercise day on Thursday.
Given that there are 700 prisoners in all, which prison has the least inmates?
Ans:
Lockham has 92 inmates, the least of the four. The complete solution is
Prison Inmates Governor Exercise Parson Style
Klink 103 Napoleon Wednesday Waffle High Security
Lockham 92 Scrooge Monday Cringe Women's
Dungenham 275 Attila Friday Lamb Short-term
Cellfield 230 Dracula Tuesday Blather Long-term
The Much Waffling Amateur Dramatic Society can never agree on anything. Of the 5 weekday evenings available for rehearsal Seshu prefers Friday, Chaitu can't manage Thursday, and the player whose favorite role is King Lear prefers Wednesday. Chaitu cannot bear to play King Lear or Macbeth. They can't even agree on what to drink in the bar afterwards. Dileep annoys them all by insisting on Champagne while the player whose favorite role is Ophelia is content with Sherry. Whisky is regarded as the only appropriate drink for the Balaji who plays Macbeth. The player who prefers Monday rehearsals drinks Pernod. Karthik's rehearsal preference is one day after Chaitu's.
What is the sex of the Bacardi drinker and whose favourite role is Portia?
Ans: The Bacardi drinker plays King Lear and is therefore male. Portia is Dileep's favourite role (since there are only two women and Ophelia prefers Sherry).
Mary and John throw a small dinner party for two other married couples, Sarah and Paul, and Betty and Mike. Mary decides that it would be nice if husbands all sat opposite their wives on the round, 6-seater table. John insists that men and women should alternate. If Betty sits on the right of Paul, who sits on the left of Sarah?
Ans: Clockwise: John, Betty, Paul, Mary, Mike, Sarah. So John is on the left of Sarah.
Four local teams decided to stage an all-play-all soccer tournament. They chose Green, Red, Blue, and Yellow as their colors. The losers were from Trivandrum and they had 3 players injured in the tournament, 1 fewer than the Green team, though the team from Kashmir had the most injured. The Red team's home ground was Darjeeling and their leading scorer was Dileep who was to become one of their team's 2 injuries. Neighboring teams Kashmir and Bangalore came second and third in the tournament respectively. Manikanth, leading scorer on the Blue team disliked both the Chennai and Bombay grounds where he had to play away fixtures. Karthik, Trivandrum's leading scorer was happiest on his home ground, Bombay. The Red team won.
For which team was Naim the leading scorer?
Ans: Naim was leading scorer for Bangalore, the Green team.
The Rice Girls are a new pop group from the India. Their nicknames are Old Rice (the eldest), Cold Rice (never gives anything away), Gold Rice (all rings and bangles), Bold Rice (the leader), and Told Rice (the youngest, at 18, and always bossed around). Mai Tai comes from China and is not best friends with Free Lee, who is from Taiwan. The girl from Japan is 20, a year older than the girl addicted to jewelry. Bold Rice and Gold Rice are the best of friends. Wee Pee is 3 years older than Yum Yum. Although the girls are all different ages the eldest is still only 22. Wing Ding is younger than Cold Rice. Mai Tai is 2 years older than the leader who is older than girl from Korea.
What is the name of the girl from Java?
Ans: Wee Pee, nicknamed Cold Rice, is the girl from Java.
On a train, Sunil, Balaji, and Chaitu are the fireman, brakeman, and engineer, but not respectively. Also aboard there are three businessmen who have the same names: a Mr. Sunil, a Mr. Balaji, and a Mr. Chaitu.
1) Mr. Balaji lives in Delhi.
2) The brakeman lives exactly halfway between Chennai and Delhi.
3) Mr. Chaitu earns exactly Rs 20,000 per year.
4) The brakeman's nearest neighbor, one of the passengers, earns exactly three times as much as the
Brakeman.
5) Sunil beats the fireman at billiards.
6) The passenger with the same name as the brakeman lives in Chennai.
Who is the Engineer?
Ans: Sunil is the engineer
The brakeman's nearest neighbor can not be Mr. Balaji, since Mr. Balaji lives in Delhi and the brakeman is halfway from there to Chennai. The brakeman's nearest neighbor can not be Mr. Chaitu because 20,000 is not evenly divisible by 3. The brakeman's nearest neighbor is one of those 3 passengers, so he must be Mr. Sunil.The passenger with the same name as the brakeman lives in Chennai, and we know that Mr. Balaji and Mr. Sunil do not live in Chennai,so Mr. Chaitu must live in Chennai, so the brakeman must be Chaitu. So Sunil is either the fireman or the engineer, but since Sunil beats the fireman at billiards, he can not be the fireman, so he must be the engineer.
What is greater than God, More evil than the devil, Poor people have it, Rich people need it And if you eat it, you die?
There are ten rockets. How do you arrange the rockets in five rows of four?
Ans:Arrange the rockets in the shape of a star
To conserve the contents of a 16oz. bottle of tonic, a castaway adopts the following procedure. on the first day he drinks 1 oz of tonic and then refills the bottle with water; on the second day he drinks 2oz. of the mixture and then refills the bottle with water. On the third day he drinks 3oz. of the mixture and then again refills the bottle with water. He continues this procedure until the bottle is empty. How many ounces of water did he drink altogether? He does not drink from the bottle if there is no tonic in it.
Answer:120 ounces
This is a most unusual paragraph. How quickly can you find out what is so unusual about it? It looks so ordinary you'd think nothing was wrong with it---and in fact, nothing is wrong with it. It is unusual though. Why? Study it, think about it, and you may find out. Try to do it without coaching. If you work at it for a bit it will dawn on you. So jump to it and try your skill at figuring it out. Good luck --don't blow your cool.
Answer:
The entire paragraph does not contain the letter "e"!
These guys range in age from 5 to 65 and rank from white to black belt. They all have a favorite martial artist and work a different weapon. They, also, each exhibit a specific talent commonly found in the animal kingdom. To assist in organizing your thoughts the five of them live in a row. Here are the facts.
1. The Bruce Lee fan is a red belt.
2. The person who trains with the dagger has the speed of a snake.
3. The child has a green belt.
4. The person who uses fighting fans lives in the house next to the person who has the balance of a
crane.
5. The white belt throws stars.
6. The mom idolizes Steven Segal.
7. The "Gracies" fan lives in the first house on the left
8. The green belt lives to the immediate right of the orange belt.
9. The person with the strength of a tiger watches a Chuck Norris sitcom.
10. The teenager lives in the middle house.
11. The person with the Jackie Chan movie collection swings nunchukkas.
12. The father carries a staff.
13. The person in the house next to the house where the person who has the grace of a gazelle lives, owns throwing stars.
14. The black belt lives next door to the "Gracies" fan.
Who has the heart of the dragon and, who's the grandpa?
Answer:
Movie Collection has the heart of a dragon
The Grandpa throws stars!
A family of five ( Father, Mother, Lisa, Brad, and Emily) each have a dog of their own. They need to cross the river but have a severe problem. There is a boat which holds a maximum of three living things (people or dogs). The dogs are extremely sensitive and CANNOT be left alone with another family member unless their owner is present. NOT EVEN MOMENTARILY. They can left be alone with each other, however. The crossing would be impossible except for the fact that Lisa's dog is trained to drive the boat. How many trips are necessary to get everyone across the river?
Answer: 11 trips
Ten seniors who share a house, decide to exchange graduation presents. Each of them put their name into a hat, mix the name cards thoroughly & draws a card out at random. What is the probability that none of the 10 people draws his or her own name ?
Ans: (9!/10!)
If a hen and a half lays an egg and a half in a day and a half how many eggs can a hen lay in three days.
How many rectangles are on an 8 by 8 chessboard if the squares count as rectangles?
Ans:1296
A company gets 16 cans of paint each month. The problem is that one of the 16 cans is always contaminated with lead. Fortunately, the company has the capacity to test for lead. However, due to time and money constraints, the results of the tests cannot be made known until after all of the tests have been performed. What is the fewest number of cans that must be tested in order to know for certain which of the 16 cans is contaminated.
Answer: It can be done in a maximum of 4 tests by mixing samples from half of the cans and then testing that mixture. If positive, the other half of the cans are dismissed and ifnegative that set of cans is dismissed. Repeat three times for the remaining cans.
Can you think of two numbers which does not contain zeros at the end but whose product results in 1000000. How many such possible numbers are there?
Ans:15625 and 64 is the only solution
Is there a number which can be expressed as cubes of two numbers in two different ways? i.e. If A^3+B^3=C^3+D^3=X and A,B,C,D are four different numbers.Find X if present.
Ans:(12n)^3+(n)^3=(10n)^3+(9n)^3=1729n^3 for all n>=1
A man decides to buy a nice horse. He pays Rs600 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to Rs700 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay Rs800 to get it back, so he loses Rs100. After another year of owning the horse, he finally decides to sell the horse for Rs900. What is the overall profit the man makes?
Ans:Rs200
In the middle of a round pool lies a beautiful water lily.The water lily doubles in size every day.After exactly 20 days the complete pool will be covered by the lily.After how many days will half of the pool be covered by the water lily?
A problem has been proposed in class. At the end of the lesson it turned out that the number of boys, who had solved the problem, was the same as the number of girls, who had not solved it. Were there more girls in the class than students who had solved the problem?
Ans: The number of all the girls in the class equals to the number of students who solved the problem. Indeed, by the condition, the number of students who solved the problem equals to the sum of the number of girls who solved it and the number of boys, who solved it. But the number of boys who solved the problem is the same as the number of girls who did not solve the problem. So, the number of all the girls in the class equals to the number of students who solved the problem.
Chaitu and Dileep decided to make some jam. So they started to weigh the fruits. It turned out that 1 peach and 6 plums weighted as much as 1 pear. And, 3 peaches and a pear weighed as much as 10 plums. Chaitu started to think: how many plums would weigh as much as 1 pear? Dileep found the answer very quickly. How about you?
Ans:7 plums
1. The first question with B as the correct answer is:
A. 1
B. 4
C. 3
D. 2
2. The answer to Question 4 is:
A. D
B. A
C. B
D. C
3. The answer to Question 1 is:
A. D
B. C
C. B
D. A
4. The number of questions which have D as the correct answer is:
A. 3
B. 2
C. 1
D. 0
5. The number of questions which have B as the correct answer is:
A. 0
B. 2
C. 3
D. 1
What are the answers of the above 5 questions?
Ans:
1. C
2. D
3. B
4. C
5. B
Mary's Father has 4 daughters 1.AABZ 2.AEBY 3.AIBX . . . .
Find out the name of fourth girl. . . . .?
Ans:Mary
There are three Federation Officers assigned to take three hostile aliens to "Peace Talks" on another planet. However, they must follow the following rules:
They have only one small space ship.
Only two individuals can ride in the space ship each time.
All Federation Officers can pilot the space ship, but only one alien can pilot the ship.
If at any time there are both Federation Officers and aliens on a planet, then there must always be more (or the same number of) Federation Officers than aliens on that planet. This is because if there are more aliens than Federation Officers, then the aliens will kill the Federation Officers. Count any individual in the space ship when it is on one planet as being on that planet.
The one space ship is the only means of transportation. There is no other way to get to the "Peace Talks". No one can exit the space ship while it is in flight.
To start off, all the Federation Officers and aliens are on the same planet.
Can all Federation Officers and aliens get to the other planet alive, and if so: how
Solution::
Yes, all individuals can reach the other planet! Consider the following abbreviations for the individuals:
F = Federation Officer
A = alien that can fly the space ship
a = alien that cannot fly the space ship
Then the flight schedule to reach the other planet will be:
planet 1 flight planet 2
F F F A a a
-- A a -->
F F F a A a
<-- A ----
F F F A a A a
-- A a -->
F F F A a a
<-- A ----
F F F A a a
-- F F -->
F A F F a a
<-- F a --
F F A a F a
-- F A -->
F a F F A a
<-- F a --
F F a a F A
-- F F -->
a a F F F A
<-- A ----
A a a F F F
-- A a -->
a F F F A a
<-- A ----
A a F F F a
-- A a -->
F F F A a a
We want to cut the chess-board paper into pieces (over the lines!) such that each piece has twice as much squares of one color than of the other color (i.e. twice as much black squares as white squares or twice as much white squares as black squares). Is this possible?
Ans:No, it is not possible to cut the chess-board paper into pieces such that each piece has twice as much squares of one color than of the other color.
If it would be possible, then every piece would have a number of squares divisible by 3 (because if a piece has n squares of one color and 2×n squares of the other color, it has 3×n squares in total). The total number of squares of all pieces would then also be divisible by 3. This is, however, impossible since the total number of squares on the chess-board is 64, which is not divisible by 3.
A prisoner was given a chance to be blindfolded and pick one ball from two bowls that would contain a total of 50 white and 50 black balls. Choosing white meant freedom, black meant death. He asked if he could divide the balls between the bowls before he was blindfolded and his request was granted. What is the best way to divide the balls between the bowls?
Solution::He asked that all the balls be put in one bowl except one white ball in the other. There was a 1/2 chance of getting the bowl with the white ball, and 100% chance of getting a white ball in that case. Even if he got the other one, he still had a 49/99 chance of life, which is nearly 1/2. Thus the total odds are about 1/2 (if right bowl) + 1/4 (half the time if wrong bowl) = 3/4.
An explorer wishes to cross a barren desert that requires 6 days to cross, but one man can only carry enough food for 4 days. What is the fewest number of other men required to help carry enough food for him to cross?
Solution::
Two other men are required to help the explorer.
The first helper only goes on day into the desert. He feeds the other two men during the first day, so that at the beginning of the second day, he only has one day rations left. So he goes back to camp. On the second day, the second helper feeds himself and the explorer. On the beginning of the third day the helper now has two days rations left so he heads back. The explorer is two days into the journey and still has all four days of his food left, so he continues on alone.
A man needed to pay his rent and was out of money, but found that his rent was worth about one gold link on his chain per day. What is the fewest number of cuts he can make in his 23-link chain to pay the rent daily for up to 23 days?
Ans:It requires only two links to be cut. Cut link number 4 and link number 11 counting from the same beginning link. He then has 2 pieces of length 1 (the cut links), and one of 3, 6, and 12. He can then pay the rent as follows. One each of the first two days he can give a cut link. On the third day he gives the chain of 3 and gets his two cut links back. He uses them on days 4 and 5, and then trades all given so far and gives the 6-link chain on day 6. He then again repeats the first steps for days 7-11. On day 12 he gets all those links back and gives the 12-link chain. The then repeats the actions of the first 11 days to go all the way though day 23
While a red mark was placed on the forehead of each of three blindfolded women seated facing each other in a circle, they were told that the mark might be either red or white. Upon removal of the blindfolds, each was to raise her hand if she saw at least one red mark, and then to take it down if she could logically deduce the color of her own mark. All three hands were quickly raised, but then one of them lowered her hand. How did she know?
Solution::This is a variation of the above problem, but very hard for some people to solve. Everyone can see that each woman could be thinking that her own forehead might be red or white because the other two women could be raising their hands because of each other. Again, this is the point where most people stop, and indeed, where the women stopped while all three hands were up. The trick to solving this problem is to REALLY put yourself into the smart woman's shoes. If you REALLY were she, you'd say, either I have a white spot or a red. Suppose you had a white spot. Then the other two women would be looking at one white spot and one red. They would each quickly figure out that that only reason the others hand was up was because of their own red spot. The fact that neither of them figured it out was the tip off to the first that she must also have a red spot. Most people put themselves in the place of the first person, but to solve this one, you must then also put yourself in the place of a second woman.
Potatoes are made up of 99% water and 1% "potato matter." Chaitu bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh?
Ans:If 100 pounds of potatoes is 1% potato matter, then that means there is one pound of potato matter. After the potatoes dehydrated somewhat, this one pound accounted for 2% of the total mass (with the remaining 98% being water). One pound is 2% of 50 pounds, so the total mass of the potatoes after sitting out in the sun is 50 pounds.
Two boys sell apples. Each sells thirty apples a day. The first boy sells his apples at two for five rupees (and therefore earns Rs 75 per day). The second boy sells his apples at three for five rupees (and therefore earns Rs 50 per day). The total received by both boys each day is therefore Rs 125.
One day, the first boy is sick, and the second boy takes over his apple selling duties. To accommodate the differing rates, the boy sells the sixty apples at five for Rs 10. But selling sixty apples at five for Rs 10 yields only Rs 120 earnings at the end of the day. What happened to the other 5 rupees?
Ans: After ten sales of five apples, all the three-for-Rs 5 apples are sold; the remainder is still sold at five for Rs 10 when they should be sold at two for Rs 5.
If a boy and a half can eat a hot dog and a half in a minute and a half, how many hot dogs can six boys eat in six minutes?
Ans:24
We know that a boy and a half can eat a hot dog and a half in a minute and a half. So how many hot dogs could six boys eat in a minute and a half? We have the same amount of time, but four times as many boys, so the answer is four times as many hot dogs -- six, to be precise.
But now let's consider what six boys could eat in six minutes. We now have four times as much time, so the answer is four times as many hot dogs -- specifically, 24.
You're a cook in a restaurant in a quaint country where clocks are outlawed. You have a four minute hourglass, a seven minute hourglass, and a pot of boiling water. A regular customer orders a nine-minute egg, and you know this person to be extremely picky and will not like it if you overcook or under cook the egg, even by a few seconds. What is the least amount of time it will take to prepare the egg, and how will you do it?
Ans:It should only take nine minutes to cook the egg. If you want to try to figure out how it is done in this short amount of time before seeing the answer, stop reading now. To start, flip both hourglasses over and put the egg in the water. When the four minute hourglass runs out, flip it back over immediately. When the seven minute hourglass runs out, flip that back over immediately too. One minute later, the four minute hourglass will run out again. At this point, flip the seven minute hourglass back over. The seven minute hourglass had only been running for a minute, so when it is flipped over again it will only run for a minute more before running out. When it does, exactly nine minutes will have passed, and the egg is done.
A box contains two rupee coins. One is a double-headed coin, and the other is an ordinary coin, heads on one side, and tails on the other. You draw one of the coins from a box and look at one of the sides. Assuming it is heads, what is the probability that the other side shows heads also?
Ans:
When the coin is drawn, there are four possibilities, each of which is equally likely:
| Coin Drawn | Side Shown | Other Side |
| Double-Headed Coin | Heads | Heads |
| Double-Headed Coin | Heads (the other heads) | Heads |
| Ordinary Coin | Heads | Tails |
| Ordinary Coin | Tails | Heads |
The problem tells us that the last possibility did not occur. Therefore, there are three remaining possibilities, each of which is equally likely. Of the three, two of the possibilities will show heads on the other side; only one will show tails on the other side. So the probability that the other side of the coin is heads is two thirds.
Rama and
Ans:The speed of the train turned out to be four times that of the bike's speed. The bike's speed turned out to be two times faster than walking speed. Who got to the hotel first?
If the biking is twice as fast as walking, the time it takes to bike the whole way is equal to the time it takes to walk half the way. So if the train's speed is anything shy of infinite, biking will still be faster.
On a man's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the man live to be?
Ans:84 years
You've been asked to buy 100 squeegies, using 100 dollars to do so. You may buy no more or less than 100 squeegies, and the total price must be exactly 100 dollars. There is no sales tax. Red squeegies cost $6.00. Yellow squeegies cost $3.00. Blue squeegies cost $0.10. How many of each must you buy?
Ans::
one red squeegie must be bought for $6, 29 yellow squeegies must be bought for $87, and 70 blue squeegies must be bought for $7.
Grass grows in a field at some rate r, where r is the units of grass grown per day. It is known that if 10 sheep are turned out in the field, the grass will be gone in 20 days. On the other hand, if 15 sheep are turned out in the field, the grass will be gone in 10 days. If 25 sheep are turned out in the field, when will the grass be gone?
Ans:: 25 sheep would consume all the grass in the field in 5 days
A clock is observed. The hour hand is exactly at the minute mark, and the minute hand is six minutes ahead of it. Later, the clock is observed again. This time, the hour hand is exactly on a different minute mark, and the minute hand is seven minutes ahead of it. How much time elapsed between the first and second observations?
Ans:The hour hand is exactly on a minute mark five times per hour -- on the hour, twelve minutes past the hour, twenty four minutes past, thirty six minutes past, and forty eight minutes past.
Let X be the number of hours, and Y be the number of minutes past the hour. When the hour hand is on a minute mark, the position of the hour hand is 5X + Y/12, and the position of the minute hand is Y. On the first occasion, Y = 5X + Y/12 + 6. This is equivalent to 60X = 11Y - 72. Since Y can only take one of the values in the set { 0, 12, 24, 36, 48 }, it can be determined that the only legal values for the equation are X = 1 and Y = 12. So the time is 1:12.
Similarly, the second occasion's equation is 60X = 11Y - 84. The only legal values here are X = 3 and Y = 24. So the time is 3:24.
Between 1:12 and 3:24, two hours and twelve minutes have elapsed.
Two trains travel toward each other on the same track, beginning 100 miles apart. One train travels at 40 miles per hour; the other travels at 60 miles an hour. A bird starts flight at the same location as the faster train, flying at a speed of 90 miles per hour. When it reaches the slower train, it turns around, flying the other direction at the same speed. When it reaches the faster train again, it turns around -- and so on. When the trains collide, how far will the bird have flown?
Ans:Since the trains are 100 miles apart, and the trains are traveling toward each other at 40 and 60 mph, the trains will collide in one hour. The bird will have been flying for an hour at 90 miles per hour at that point, so the bird will have traveled 90 miles.
A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:
There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?
Ans:The only lockers that remain open are perfect squares (1, 4, 9, 16, etc) because they are the only numbers divisible by an odd number of whole numbers; every factor other than the number's square root is paired up with another. Thus, these lockers will be "changed" an odd number of times, which means they will be left open. All the other numbers are divisible by an even number of factors and will consequently end up closed.
So the number of open lockers is the number of perfect squares less than or equal to one thousand. These numbers are one squared, two squared, three squared, four squared, and so on, up to thirty one squared. (Thirty two squared is greater than one thousand, and therefore out of range.) So the answer is thirty one.
Of three men, one always tells the truth, one always tells lies, and one answers "yes" or "no" randomly. Each man knows which one each of the others are. You may ask three yes/no questions, each of which may only be answered by one of the three men, after which you must be able to identify which man is which. How can you do it?
Ans: There are six possible scenarios. Let's call the first man A, the second man B, and the third man C. The six scenarios, then, are:
Scenario A B C
I Truthteller Liar Random Man
II Truthteller Random Man Liar
III Liar Truthteller Random Man
IV Liar Random Man Truthteller
V Random Man Truthteller Liar
VI Random Man Liar Truthteller
Follow these steps to determine which possibility listed above is correct:
1. Ask A, "Is B more likely to tell the truth than C?"
o If yes, go to step 2.
o If no, go to step 5.
2. Ask C, "Are you the random man?"
o If yes, go to step 3.
o If no, go to step 4.
3. Ask C, "Is A the truthteller?"
o If yes, then scenario V is the case.
o If no, then scenario II is the case.
4. Ask C, "Is A the liar?"
o If yes, then scenario IV is the case.
o If no, then scenario VI is the case.
5. Ask B, "Are you the random man?"
o If yes, go to step 6.
o If no, go to step 7.
6. Ask B, "Is A the truthteller?"
o If yes, then scenario VI is the case.
o If no, then scenario I is the case.
7. Ask B, "Is A the liar?"
o If yes, then scenario III is the case.
o If no, then scenario V is the case.
By following the steps above, you will only ever ask three questions in all, and the answers will determine the identities of the three men
Four switches can be turned on or off. One is the light switch for the incandescent overhead light in the next room, which is initially off, but you don't know which. The other three switches do nothing. From the room with the switches in it, you can't see whether the light in the next room is turned on or off. You may flip the switches as often and as many times as you like, but once you enter the next room to check on the light, you must be able to say which switch controls the light without flipping the switches any further. (And you can't open the door without entering, either!) How can you determine which switch controls the light?
Ans: Turn on switches 3 and 4 and wait fifteen minutes or so. Then turn switch 3 off, turn switch 2 on, and enter the room. If the bulb is dark and cool, switch 1 controls it. If the bulb is bright and cool, switch 2 controls it. If the bulb is dark and warm, switch 3 controls it. If the bulb is bright and warm, switch 4 controls it.
