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Sunday, April 30, 2006

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1. if the date is written as MMDDYYYY, and then 10022001, ie)oct 2 2001 is a palindrome. which is the immediate palindrome before that date.
2. there r 2 trains travelling at 100 MPH each. there is a 200Mile tunnel. the trains travel in opposite directions. when the trains enter, a supersonic bee starts at the tunnel, touches the other train, comes back touches the first train, turns again and touches the other train and so on until the trains collide. Find the distance travelled by the bee.
3. It is 12.00 o clock. Find how often the minute hand meets the hour hand.
4. Find the maximum product using positive integers the sum of which is 100. Dont know if i am sure with this one. sorry. i didnt do this.
5. in a train Art is found dead. hours later 4 people are queried,
Blonde says i am innocent, i didnt speak with Art White says i am innocent, Blonde spoke with Art Old says i am innocent, the brunette killed Art Brunette says i am innocent, one of the men killed Art
The inspector says simple, 4 true statements, 4 false statements. I know the killer, very simple!!! Find out the killer. (only one is involved.)
6. 2 maths geniuses meet after 20 yrs. one says i am married. and have 3 daughters. the product of their ages is 72. the sum is the same as the house no. other says, but I cant find it out. The other says. . simple. ok, my eldest daughter has just started the piano classes. Find their ages. This one is there in previous question papers also.
7. 5 sea pirates have 100 gold coins and want to share it. They propose a plan. The senior most one has to propose an idea, if at least 50 % agree, the coins r shared accordingly. else the senior is killed and the next senior most is asked to present a plan and so on .
note, all the guys r very clever and very greedy and dont want to lose the coins, and dont want to die. Form a way to share the money.
I didnt do this....no time

ANSWERS
1. the answer is 08 31 1380. i worked it out like this.. before 2001, 2000 cannot be taken as MMDD becomes 0002. also anything after 14 century cant be considered as 1401 would mean 1041, there r only a max of 31 days a month. so the century nos must be only 13(reverse for 31)so the yr is 13xx. now 1399to 1391 is not possible as reverse means 99 to 19 but max no of months is 12. so 1390 becomes 09311390... but 9th month has only 30 days(lucky i remembered it).. so 1380 is the most recent palindrome ... which beocomes 08311380.
SOln is 08 31 1380.
2. this one i really screwed up royally. it took me 25 minutes to solve.. i took the average speeds, the distance travelled by the trains and the bee, took ratio of speeds and distance, subtracting it from the tunnels length for every time the bee touched the trains. phew lot of calculation.. and got the ans as 1000.
But when i rechecked it a thought struck me... so silly of me. The trains collide at the middle. ie)after 100 miles. that means after 1 hour. so the bee travels for 1 hour touching each train till they collide. its speed being 1000 mph, it travelled a 1000 miles.. only a simple logic of few seconds... but i was looking for a complex answer and wasted a lot of precious time. my advice is not all puzzles r hard, there r some easy ones too. if we go with the mindset that all r hard, v overlook the easy path. dont do this mistake like me.
3. at 12.00 the minute and hour hand are together. but at 1.00 they are 5 mins apart. so in 60 minutes the gain is 55 mins for the min hand. to be together it has to gain another 5 more mins. so the time taken to gain 5 mins is
60*5/55=5.454 So the time taken to meet again is 65.454 So the hands meet every 65.454 minutes
4. sorry no time to see this and dont remember it correctly.
5. the blonde killed
6. i wrote 6 4 and 3
7. no idea pllls let me know.

A, B, C are three persons. among these 3 persons only one is having a key to open a treasure. Each person always either speaks truth or lies. The three persons made the following statements.
A: I have the key
B: I dont have the key
C: B dont have the key.
Among the three, atleast one always speak truth. Find out who got the key?
(4 Marks)
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A train is travelling from A to B. During its travel it met with an accident after travelling for half an hour. After the accident it travels with 3/5th of its original speed and arrives the destination two hours late. If accident occurs 50 km farther it will arrive the destination by 40 mins late. Then find the distance between A and B?
(6 Marks)
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A starts from x to y at noon. his friend B, starts from y to x at 2 pm and met him at 4:05 pm and then both of them reached their destinations at the same time. Find arrival time.
(8 Marks)
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There are innumerable packets of neggets each of which contain either 3 or 6 or 9 nuggets. You cannot break a packet ( i.e., u can not have 1 or 2 nuggets, they are available only in packets of 3, 6 and 9).
Problem is to find a number N starting from which it is possible to get any number of nuggets without breaking any of the packets.
(12 Marks)
Ans : There is no such number exists. It's not possible to find out. So, answer should be "Infinite".
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An item x is available in 6,9,20 peices of packets. A customer purchased least N peices such that N+1, N+2, N+3.......peices also can be purchased. Find N.
(12 Marks)
Ans : 44

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Three ants are present on the 3 vertices of triangle.They need to change their positions. what is probability of getting their positions changed with the condition that no two ants collide each other while exchanging their positions.
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You need to chose "n" numbers such that their sum is 100 and they give the maximum product when multiplied.
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A business guy got 4 weigths and he can weight up to 40 kgs. What are denominations ?
Ans : 1,3,9,27
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In a game where three dice are thrown, a player guesses a number. If the guessed number appears on only one die, he gets double amount. If the guessed number appears on two dies, he gets thrice the amount. If the guessed number appears on three dies, he quadraples his money. Find the probability to win triple or quadraple amount of the bet.
(8 Marks)
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Tom, Dolly and Mouly are living in a street having door numbers 1-99. But they dont know each others house numbers.
Mouly asked Tom, "is your dno a perfect square?". He replied.
Again she asked, "is it greater than 50?". He replied.
With this information she went to Tom house, but she could not find out his address. Then she realizes that the second answer is only the correct one.
Then dolly, who is unaware of the above conversation, asked Tom, "Is ur dno a perfect cube?". He replied.
Again she asked, "is it greater than 25?". He replied.
With this information she went to Tom house, but she could not find out his address. Then she realizes that the second answer is only the correct one.
If sum of door numbers of the three is equal to a perfect square multiplied with 2. Tom's door number is less than that of Dolly.
Also Tom's door number is less than that of Mouly. Then find out the door numbers of all the three people.
(12 Marks)


How to weigh 1 to 40kg (whole numbers) with only 4 different weighing stones on a simple balance.
What are denominations ?
Ans : 1,3,9,27
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A train travels from A to B .on the way from A to B,after traveling for 1 hr the train has an accident and the rest of the journey it travels with 3/5 of its original speed and reaches 2 hrs late. If the accident has occurred 50 km further it would have reached 40 minutes earlier. What is the distance between A and B ?
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A murder occurred in atrain.The murdered is Mr X. The people investigated gave the following statements.
Old Man : I’m innocent . I saw Blonde woman talking to Mr X
Blonde Woman : I’m innocent . I didn’t talk with Mr X.
Young Man : I’m innocent . The brunette woman killed Mr X.
Brunette Woman : I’m innocent . One of the men is the murderer.
There are 4 true and four false statements .
Who is the murderer?
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Ajay and Vijay divided some apples between themselves.
Vijay says : You have more apples than me .
Then Ajay gives Vijay one apple each for Vijay's age.
Then Vijay says : You have 2 times the apples that I have.
And Ajay replies that : it is fair since my age is twice your age.
When Ajay leaves, Vijay takes as many apples equal to Ajay's age.
Who has more number of apples ?
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3 dice each with a number from 1 to 6 are rolled one after another. A person can bet mony on any one of the numbers If the number turns out on only die then he receives his amount along with the same amount as he invested. If the number turns out on any 2 dice then he gets his money back along with twice the money he had bet. If the number turns out on all 3 dice then he gets his money back along with trice the same money.
What is the probability of tripling and quadrupling his money ?
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X puts some black and white balls in a bag. Y picks a ball from the bag and finds it to be black. He picks out another ball and finds it also to be black. He asks what would be probability of a third black ball for which X replies that it is 9/10 of the probability of the original trail. Y knows that there are atleast 7 balls in the bag originally.
How many balls of each color are there originally ?



1)
There are 20 red balls,18 green,13 pink,12 blue ,19 yellow,13 orange,15 white,(the nos are wrong but it doesnt matter)
how many balls do u have to pick up(minimum number) so that u have two pairs of two balls of the same color(like 2 red,2 yellow).You can even have two pairs of the same color(2 red and 2 red) (5 marks 1 negative)
my answer was 10.pls check
2)
A tricky question on probablity.there are two jars and 10 white and 11 red balls.
how will u place the balls in the jar so that u have maximum probablity of picking up red
and having placed the balls in that manner what is the probablity of drawing a Red.
i didnt know how to do this.....6 marks 1 negative
3)
what is the product of two numbers which when added up gives 100 and their product is maximum......
they want the expression......this is kinda easy i guess......
4)one standard truth -lie puzzle......
5)This is a good one.....
there is a ten digit number....ABCDEFGHIJ
in this A represents the number of zeros,B represents the number of ones,,C the number of twos and so on.......
what is the number,,,,
6)one card puzzle......very tricky one....
7)one age sum.....


1] (7marks 2 -ve)24 cows takes 70 days to graze, 60 cows 30 & 96 takes ? ans:20
2] (7, 2-ve)probability of boys to girls, wher in a cmmunity every family creates a child until they get a boy. once a borns they stops. ans: 1:1
3] (5, 2-ve)in a black box there r balls of 8 colors enough balls of each color.how many balls to pick up so that 2 pairs of same color should be there as either 2 red & 2 blue, 4 yellow etc ans: 8+3=11
4] (5, 2-ve)what is the max product which add up to 100 : ans cant remember 2 rise to 34 etc...
5] (8, 2 -ve)one logical question ( A, B, C, truth, false T/F) there in ans: A was telling lie i suppose(cant remember plz check in test) but it was quite easy, ucan do.
6] (5, 2-ve)the date 10-02-2001 in mm-dd-yyyy format is palindrome. they asked a date before 2nd oct. ans: 08-31-1380
7] (11, 3-ve)logical quest no. of children ans: abe was telling,total no of children are 19.


1. If a date oct,02,2001 is written as 10022001(mmddyy), Then which date before 01,oct,2000 gives the maximum valued palindrome(the digits must be same when reversed) ?
(6 marks, 2 negative) Ans:12311321
2. There are eight differen coloured eggs in a basket, among them 23 are in red, 17 blue, 21 green, 18 yellow, 16 black, 12 white, 25 voilet.What is the probability of getting atleast one pair of the same colour, when you draw a least number?
(7 marks, 2 negative)
Ans:...................
3. What is the number whose positive integer digits when multiplied gives the maximum value and added gives the exact 100.
(5 marks, 2 negative)
Ans:(2+2+........+50 times)=100, i.e 2 power 50.
4. In my garden the gross grows equally in every year. It takes 24 days for the 70 cows to eat and it takes 60 days for the 30 cows to eat. Then how many number of cows can eat in 96 days?
(6 marks, 2 negative)
Ans:17.5 so considered as 18
5. In the investigation regarding one theft among the suspects A,B,C one who is the thief always tells lies, the helper to the thief tells both truth and lies , the other fellow who is innocent always tell the truth. They made the following statements A: I'am a doctor B is a barber and C is the taxi driver. B: I'am an employee of water works dept, A is the taxi driver and C is the doctor. C: I'am a lawyer A is a taxi driver and B is the doctor. Who is the thief?
(7 marks, 2 negative)
Ans:.......................6. In one country they prefer only boys to have. If it is a girl in the first birth then there must be the other child to have, if it is also a girl then they will go for the next birth and stops when they got the boy. Then what is the praportion of girls to boys in that country? (8 marks 2 negative)
Ans: (n+1)/2:1
7. While three friends Abe, Bob, Cort in a restaurent taking thier snax one lady came and she asked them how many children you have. One of them replied "By looking at the total number of children we have you can uniquely identify the no of children I'am having" but she failed to guess then he made the following statements Abe is having atleast one girl and twice as many boys as girls. Bob is having atleast one girl and thice as many boys as girls. Cort is having three more than boys that he have girls.The no of children they have is less than 25.Who has replied to that lady and how many children he have. How many total no of children they have?
(11 marks 2 negative)
Ans: Abe, and is having 3children (1G+2B),total is 12


1] if we express 2nd october of 2001 like 10022001 ...we will get an palindrome. What will be the nearest date, previous to the above given, that will make a palindom.4
2]Avg velocity in taking a lap=150. in covering 2/5th is 123, in covering next 2/5th is 164....what is the avg. velocity of the runner in covering last 1/5th of the lap?6
3]there r 97 teams.tournament follows elimination method. gow many games??6
4] A starts walking towards B at noon. B starts towards A at 2 oclock. they both meet at 5 past 4 and cover the remaining distance in same time. At what time A reach B?? 8
5]white and black parrot r sitting in a telephone wire.At least one from white and one from black.Color must repeat after every 4 and 7 birds..What is the max no of arrangement( i could do this)8
6]Russians girls foretells about their marriage by playing a game.they take 8 grass blades hold by the girl whose faith gonna decided. One girl ties at one end, each blade with onther.Onother girl do the same at the other end.If the grass form a ring without any break the girl will marry a handsome guy very soon.!! calculate the chances of her marriage.12
7]Ashley,jim,joe,and X says something. one statement is wrong(i dont remember the statements)Fing the thief.....Ash;ley 6 marks


1. if the date is written as MMDDYYYY, and then 10022001, ie)oct 2 2001 is a palindrome. which is the immediate palindrome before that date.
2. there r 2 trains travelling at 100 MPH each. there is a 200Mile tunnel. the trains travel in opposite directions. when the trains enter, a supersonic bee starts at the tunnel, touches the other train, comes back touches the first train, turns again and touches the other train and so on until the trains collide. Find the distance travelled by the bee.
3. It is 12.00 o clock. Find how often the minute hand meets the hour hand.
4. Find the maximum product using positive integers the sum of which is 100. Dont know if i am sure with this one. sorry. i didnt do this.
5. in a train Art is found dead. hours later 4 people are queried,
Blonde says i am innocent, i didnt speak with ArtWhite says i am innocent, Blonde spoke with ArtOld says i am innocent, the brunette killed ArtBrunette says i am innocent, one of the men killed Art
The inspector says simple, 4 true statements, 4 false statements.I know the killer, very simple!!!Find out the killer. (only one is involved.)
6. 2 maths geniuses meet after 20 yrs.one says i am married. and have 3 daughters. the product of their ages is 72. the sum is the same as the house no. other says, but I cant find it out. The other says. . simple. ok, my eldest daughter has just started the piano classes.Find their ages.This one is there in previous question papers also.
7. 5 sea pirates have 100 gold coins and want to share it. They propose a plan. The senior most one has to propose an idea, if at least 50 % agree, the coins r shared accordingly. else the senior is killed and the next senior most is asked to present a plan and so on . note, all the guys r very clever and very greedy and dont want to lose the coins, and dont want to die. Form a way to share the money.I didnt do this....no time
ANSWERS
1. the answer is 08 31 1380.i worked it out like this.. before 2001, 2000 cannot be taken as MMDD becomes 0002.also anything after 14 century cant be considered as 1401 would mean 1041, there r only a max of 31 days a month. so the century nos must be only 13(reverse for 31)so the yr is 13xx. now 1399to 1391 is not possible as reverse means 99 to 19 but max no of months is 12. so 1390 becomes 09311390... but 9th month has only 30 days(lucky i remembered it).. so 1380 is the most recent palindrome ... which beocomes 08311380.SOln is 08 31 1380.
2. this one i really screwed up royally. it took me 25 minutes to solve.. i took the average speeds, the distance travelled by the trains and the bee, took ratio of speeds and distance, subtracting it from the tunnels length for every time the bee touched the trains. phew lot of calculation.. and got the ans as 1000.
But when i rechecked it a thought struck me... so silly of me. The trains collide at the middle. ie)after 100 miles. that means after 1 hour. so the bee travels for 1 hour touching each train till they collide. its speed being 1000 mph, it travelled a 1000 miles.. only a simple logic of few seconds... but i was looking for a complex answer and wasted a lot of precious time. my advice is not all puzzles r hard, there r some easy ones too. if we go with the mindset that all r hard, v overlook the easy path. dont do this mistake like me.
3. at 12.00 the minute and hour hand are together. but at 1.00 they are 5 mins apart. so in 60 minutes the gain is 55 mins for the min hand. to be together it has to gain another 5 more mins. so the time taken to gain 5 mins is
60*5/55==5.454So the time taken to meet again is 65.454So the hands meet every 65.454 minutes
4. sorry no time to see this and dont remember it correctly.
5. the blonde killed
6. i wrote 6 4 and 3
7. no idea pllls let me know.

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