If U can.....answer this

vssoma

Well-Known Member
Question:The Secret Agent

The secret agent X emailed a code word to his head office. They are "AIM DUE OAT TIE MOD". But four of these five words are fake and only one contains the information. The agent X also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word.


Can you tell which is the code word?
 

MurAtt

Well-Known Member
If one rephrashes this as a delicate previous question:

A weightless and perfectly flexible rope is hung over a weightless, frictionless pulley attached to the roof of a building. At one end is a weight which exactly counterbalances a man and two golden balls.

If the man starts juggling 3 balls, will he rise / fall / stay in the same place?
imo he would keep rising till he reaches the pully.

Logic is that at some point in the juggling, all the 3 balls would be in the air and then the weight becomes heavier and slips down, in effect making the man rise upwards. Then 2 balls in 2 hands will balance and again he will rise in the next juggle ... bringing him right to the top at the pulley.

:)
 
imo he would keep rising till he reaches the pully.

Logic is that at some point in the juggling, all the 3 balls would be in the air and then the weight becomes heavier and slips down, in effect making the man rise upwards. Then 2 balls in 2 hands will balance and again he will rise in the next juggle ... bringing him right to the top at the pulley.

:)
This is precisely why an attempt was made to restate the problem -- the end conclusion is counter-intuitive. In the original problem, it seemed unimportant whether the thief stole 3 or 5 golden balls, so long as he could juggle them to cross the bridge. And if he could juggle them with one hand, the bridge only needed to strong enough to hold his weight plus one ball. In the rope/pulley case, we have a perpetual motion machine -- man juggles the balls to reach the top; catches all three balls to come down; starts juggling to go up again.

So, I guess, it needs to be looked at as dynamic weights but an elegant explanation escapes me.
 
Question:The Secret Agent

The secret agent X emailed a code word to his head office. They are "AIM DUE OAT TIE MOD". But four of these five words are fake and only one contains the information. The agent X also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word.


Can you tell which is the code word?
TIE?

That is the only word where all its character (T, I, E) occur in a word containing two vowels.
 

vssoma

Well-Known Member
Question:The Secret Agent

The secret agent X emailed a code word to his head office. They are "AIM DUE OAT TIE MOD". But four of these five words are fake and only one contains the information. The agent X also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word.


Can you tell which is the code word?

Solution:

The code word is TIE.

If you were told any one character of MOD, then you would not be able to determine whether the number of vowels are one or two. e.g. if you were told M, there are two words with M - AIM with 2 vowels and MOD with 1 vowel. So you would not be able to say the number of vowels. Same arguments can be given for characters O and D. Hence, the word with any one of M, O or D is not a code word i.e. AIM, DUE, OAT and MOD are not the code word. Thus, TIE is the code word.
T : two words - TIE and OAT, both with 2 vowels
I : two words - TIE and AIM, both with 2 vowels
E : two words - TIE and DUE, both with 2 vowels.
 

vssoma

Well-Known Member
Question:The Flowers


In a small town, there are three temples in a row and a well in front of each temple. A pilgrim came to the town with certain number of flowers.

Before entering the first temple, he washed all the flowers he had with the water of well. To his surprise, flowers doubled. He offered few flowers to the God in the first temple and moved to the second temple. Here also, before entering the temple he washed the remaining flowers with the water of well. And again his flowers doubled. He offered few flowers to the God in second temple and moved to the third temple. Here also, his flowers doubled after washing them with water. He offered few flowers to the God in third temple.

There were no flowers left when pilgrim came out of third temple and he offered same number of flowers to the God in all three temples.

What is the minimum number of flowers the pilgrim had initially?

How many flower did he offer to each God?
 
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rajeabc

Well-Known Member
Question:The Flowers


In a small town, there are three temples in a row and a well in front of each temple. A pilgrim came to the town with certain number of flowers.

Before entering the first temple, he washed all the flowers he had with the water of well. To his surprise, flowers doubled. He offered few flowers to the God in the first temple and moved to the second temple. Here also, before entering the temple he washed the remaining flowers with the water of well. And again his flowers doubled. He offered few flowers to the God in second temple and moved to the third temple. Here also, his flowers doubled after washing them with water. He offered few flowers to the God in third temple.

There were no flowers left when pilgrim came out of third temple and he offered same number of flowers to the God in all three temples.

What is the minimum number of flowers the pilgrim had initially?

How many flower did he offer to each God?
could be any number....

Initial flowers = (7/8)* flowers offered ....... flowers offered = 8* m
where m >= 1
= 7 m

minimum would be 7
 
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