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Games, Puzzles and Quizzes

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27 Mar 2008 08:17:54 IST
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smart_boy198062's Avatar

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Joined: 12 Feb 2008
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27 Mar 2008 08:21:25 IST
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Eudid has a number in hand

1-          if the number is a multiple of 3,
it is a number from 50 to 59

2--         if the number is not a multiple of 4,
then it is a number from 60 to 69

3---        if the number is not a multiple of 6,
then it is a number from 70 to 79

WHAT IS THE NUMBER??
smart_boy198062's Avatar

Scorching goIITian

Joined: 12 Feb 2008
Posts: 205
27 Mar 2008 09:02:54 IST
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no one

shridhar ramachandran's Avatar

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Joined: 30 Jan 2008
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27 Mar 2008 16:20:00 IST
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76
smart_boy198062's Avatar

Scorching goIITian

Joined: 12 Feb 2008
Posts: 205
28 Mar 2008 11:24:37 IST
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explanations???
Gaurav |spideyunlimited| Ragtah's Avatar

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Joined: 16 Dec 2006
Posts: 3373
28 Mar 2008 11:53:24 IST
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1- if the number is a multiple of 3,
it is a number from 50 to 59

2-- if the number is not a multiple of 4,
then it is a number from 60 to 69

3--- if the number is not a multiple of 6,
then it is a number from 70 to 79


The number can't be just a multiple of 3 ...and not 4 or 6...cos of statements 1 , 2 and 3.. which will contradict each other..
if the number is neither a multiple of 4 nor 6, then 1 and 2 contradict so it has to be either a multiple of 4 only or 6 only.
it can't be a multiple of 3 only as shown above... so it is either a multiple of 3 and 4 or 3 and 6.
but if it is a multiple of 6 it will be a multiple of 3 also... so we have to forget that! ...so the only way is that it is a multiple of 4.. and not a multiple of 6. (or 3)
and multiple of 4 can only lie in 70 - 79 from the given data
and the number in 70-79 which is only a multiple of 4 and not of 3 or 6 is......
76

Cool goIITian

Joined: 23 Mar 2008
Posts: 69
20 May 2008 22:44:39 IST
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if the no. is a multiple of 3 (and  not 4 or 6) it would cum in da 1st range as well as da 2nd n 3rd. this tautology is removed by a number tht is a multiple of 4 or 6. as a multiple of 6 would also a multiple of 3 the no. would b a multiple of four cumin in da 3rd range. as there r two options 72 or 76, v c tht 72 is a multiple of 3&6 hence, it isnt da desired no. this can also b explained by union of sets. 




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