Thursday, February 25, 2010

BRAIN TEASERS QUESTIONS

316: Decipher this sentence (Underscores represent spaces): IHT_OU_D_AEPPPASH

341: What is the next number in the given series? 10^3, 10^9, 10^27, 10^2, 0, 4, 8, 3, ?
Note that 10^3 means 10 raised to the power of 3 i.e. 1000.

383 Consider a state lottery where you get to choose 8 numbers from 1 to 80, no repetiton allowed. The Lottery Commission chooses 11 from those 80 numbers, again no repetition. You win the lottery if atleast 7 of your numbers are there in the 11 chosen by the Lottery Commission. What is the probablity of winning the lottery?

67 Two planes take off at the same exact moment. They are flying across the Atlantic. One leaves New York and is flying to Paris at 500 miles per hour. The other leaves Paris and is flying to New York at only 450 miles per hour ( because of a strong head wind ).
Which one will be closer to Paris when they meet?

77 In another galaxy, a certain nation of creatures speak a language known as Algramara. In this language, "harvec tood zevac" means "my tooth hurts", "lavec lina zevac" means "my delicious food", & "zevac corma lina" means "eating my food". What does "corma harvec zevac tood" mean?

104 A farmer needs 8 gallons of water. He has only three unmared buckets, two 6 gallon and one 11 gallon bucket. How can he collect 8 gallons of water using three unmarked buckets? Provide solution with minimal water wastage.

121 Jack and Jill are playing cards for a stake of $1 a game. At the end of the evening, Jack has won 3 games and Jill has won $3. How many games did they play?

232 There is a one floor house, and everything in it is blue, green or purple. The people are purple, the carpeting is green and the walls are blue. What colour do you suppose the stairs are?

96 If you are on a boat and you throw out a suitcase, will the level of water increase? Please note that the boat is in river and you throw out a suitcase in the river.

382 If two numbers are respectively 20% and 50% of a third number, what % is the first number of the second number?

443 You are given an arbitrarily long string of parentheses i.e. a string comprising of '(' and ')'. Give an efficient way of finding whether a given string contains a balanced parentheses or not. Note that the string can be of any length. A string with balanced parentheses is a string containing same number of left parentheses '(' and right parentheses ')'. Also, they must be in correct order i.e. ( ( ) ( ) ) is balanced whereas ( ) ) ( ( ) is not.

92 Below is a Quiz written by Einstein in the lst century. He said 98% of the people in the world cannot solve the quiz. Are you among the other 2%?
FACTS :

1. There are 5 houses in 5 different colors.
2. In each house lives a person with a different nationality.
3. These 5 owners drink a certain beverage, 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.


HINTS:

1. The Brit lives in a red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The green house is on the immediate left of the white house.
5. The green house owner drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the yellow house smokes Dunhill.
8. The man living in the house right in the center drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes blend lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The owner who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the Blue House.
15. The man who smokes blend has a neighbor who drinks water.
THE QUESTION IS....WHO KEEPS FISH?
There is no trick to this - it needs deductive reasoning and definitely a pen and paper.

111 In a certain year, the number of girls who graduated from City High School was twice the number of boys. If 3/4 of the girls and 5/6 of the boys went to college immediately after graduation, what fraction of the graduates that year went to college immediately after graduation?

182 Subhash is 14 inches taller than Jatin. The difference between Subhash and Sanjeev is two inches less than between Sanjeev and Jatin. Subhash at 6'6" is the tallest. How tall are Sanjeev and Jatin?

258 Three convicts are brought into the warden's office. He says he can parole one of them and to decide which one he will parole he takes out 5 hats (3 red and 2 white). He stands behind them and places a hat on each one of their heads and puts the other two remaining hats in a drawer. He tells the prisioners they can look at the others hats and if they can tell which hat they have on they will be the one who is paroled.
The first man looks at the other two and says, "I don't know."
The second man looks at the others hats and says, "I don't know."
The third man who is blind says, "Even though I have not the gift of sight I can tell by what the others have said that the color of my hat is..."
What color is the blind mans hat and how does he know?

337 What do all of the below capital letters have in common? A, H, I, M, O, T, U, V, W, X, Y

360 Mrs. F has invited several wives of delegates to the United Nations for an informal luncheon. She plans to seat her 9 guests ina row such that each lady will be able to converse with the person directly to her left and right. She has prepared the following list.
Mrs. F speaks English only.
Mrs. G speaks English and French.
Mrs. H speaks English and Russian.
Mrs. J speaks Russian only.
Mrs. K speaks English only.
Mrs. L speaks French only.
Mrs. M speaks French and German.
Mrs. N speaks English and German.
Mrs. O speaks English only. How many distinct seating arrangements are possible? Give all possible seating arrangements. Note that ABCD and DCBA are the same.

373 Aloysius has four different paintings that he wishes to divide among his three children. How many different ways can he do this if every child must get at least one painting and all four paintings are different?

637 There is a cup with water and ice in it. Will the water level change if the ice melts? Justify your answer.

34 My friend collects antique stamps. She purchased two, but found that she needed to raise money urgently. So she sold them for Rs. 8000 each. On one she made 20% and on the other she lost 20%. How much did she gain or lose in the entire transaction?

374 A, B, C and D are related to each other.
• One of the four is the opposite sex from each of the other three.
• D is A's brother or only daughter.
• A or B is C's only son.
• B or C is D's sister. How are they related to each other?

384 I was sitting around with my friend Dave, Marty and James recently. I happened to have two tickets to a new movie in my pocket that I had just purchased. I mentioned that there were two four-digit numbers on the tickets and that the sum of all 8 digits was 25.
Dave asked if any digit appeared more out of the 8, which I answered. Then, Marty asked if the sum of the digits of either ticket was equal to 13, which I answered too. Much to my surprise James immediately told me what the two numbers were! What were they?

385 My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 160 years.
Can you tell me my age in years?

479 You own a race track with 5 lanes. You have 25 horses, of which you wish to find out the fastest 3. In how few races can you do it? In any race, you only get the rankings of the horses and not their timings.


679: Brain Teaser In some code language, the following words have their equivalents next
to them.
ALIVE = A5015E
BLOG = B50OG
LOCK = 50O100K
XML = ?
What would be XML equivalent?

608: Substitute digits for the letters to make the following addition true.
M A I N T A I N
+ I N T E R N E T
-------------------------
F I R E W A L L
Note that the leftmost letter can't be zero in any word. Also, there must be a one-to-one mapping between digits and letters. e.g. if you substitute 3 for the letter F, no other letter can be 3 and all other F in the puzzle must be 3.

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