Puzzle:
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.
For Solution SCROLL DOWN...
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.
31 comments:
I guess the code word is 'TIE', since one of the its character could be a PAIR, which indicates TWO, that represents the number of vowels in TIE (I,E)
Out of AIM DUE OAT TIE MOD the secret word is "TIE"
All the five words contain only "A I M D U E O T"
now check serial wise
A-AIM contain 1 and OAT contain 1 vowel.so it is possible that A may be in secret word.
do same for ALL
we can find that possible characters in secret words are"A I U E T etc.
out of them only word TIE is already among the 5.[:)]
TIE is the keyword...
Out of AIM DUE OAT TIE MOD , MOD is the only word which has 1 vowel. All the others have two vowels. so if he tells any letter in MOD (M, O or D) we will be confused whether it is 2vowels or 1vowel. the word which do not have any of these letters is TIE. so if he tells any of T, I or E, he can say there r two vowels in the word.
the correct answer is MOD
its because all other words have 2 vowels. its only MOD which has only 1 vowel.
AIM--- A,I are vowels
DUE--- U,E are vowels
OAT--- O,A are vowels
TIE--- I,E are vowels
but in
MOD only 'O' is the vowel
Susheel, read the question again...and specially the adjectives like "any" :)...
the answer is DUE.because this is the word has the letter U which nonoe of the word contains
The secret answer is "TIE".
srinivas gave the most apt xplanation.
TIE IS MY ANSWER
I DON'T KNOW ANYTHING ABT U GUYS...
I guess 'DUE' is the secret word, if the agent says U, there is only one possible word which has 'U'. i.e., DUE
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I too thought that at first but it is wrong let's see how , if the u is chosen then the word will be due but d of due clashes with mod making us confused whether there is 1 or 2 vowels in the question but if tie is chosen then no such confusion prevails..
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The word MOD has only one vowel whereas all other words in the list:
AIM, DUE, OAT & TIE
has two vowels, so the available options for number of vowels is either 1 or 2.
If you were told any one of the letters in MOD, looking through the list, you cannot be certain for sure whether the number of vowels is 1 or 2 because:
Letter M appears in two words (MOD & AIM)
Letter O appears in two words (MOD & OAT)
Letter D appear in two words (MOD & DUE)
Therefore every word in the list having more than one vowel, but contains any of the letters M, O, or D will cause ambiguity with respect to the number of vowels to provide, since they intersect with the word MOD which has only one vowel.
Thus the only word in the list which does not include any of the letters M, O, or D is TIE
If you were told any one of the letters in TIE, looking through the list,
Letter T appears in two words (TIE & OAT) and they both contain 2 vowels.
Letter I appears in two words (TIE & AIM) and they both contain 2 vowels.
Letter E appears in two words (TIE & DUE) and they both contain 2 vowels.
So there is no ambiguity to the number of vowels to provide if you were told any one letter of the word TIE because the number of vowels is also two.
Hence the secret word must be TIE.
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