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| 01 December 2007
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| Just a survey...
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Now who else wishes that songs should last 60 seconds... maybe 90 seconds... but definitely not more than 2 minutes...
5 minutes is a lot... sometimes enough to bore someone to suicide...
prune the redundant start and the end... and don't repeat the same lines over and over again... if we like what you just said then we'll play it again in our head, we don't want you to play it again and again and irritate everyone else...Labels: comments, songs |
posted by Rohit Agarwal
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| 12 April 2007
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| a-less girls
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Ever wondered how many Indian (non-punjabi) girls' names can you think of which don't end with an 'a'?
aanchal
aditi
anjali
anu
basubi
bhagyashree
bharti
bindu
charu
chhavi
deepti
devi
ginni
himani
jahanavi
jinni
jugnu
juhi
jyothirmayee
jyoti
kajol
kanu
kiran
kirti
kokil
komal
krati
madhu
madhuri
mini
mohini
neeti
nidhi
niki
nupur
pallavi
parul
pinky
preeti
ragini
rajni
rani
rashi
rhythm
rupakshi
sakshi
saloni
saral
saroj
shagun
shashi
shilpi
shiny
shruti
sonali
sonam
stuti
suman
sunidhi
suniti
surbhee
swati
tanu
tanushree
tanvvi
vibhuti
vasu
Post open for comments only if you want to add to the existing list...
Contributed by (in alphabetical order)
Kartik
Shaveta
Shilpi
Stuti
SuneetaLabels: comments, girl names, puzzle, sloth |
| posted by Rohit Agarwal
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| 28 February 2007
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| the surprise that never was
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ANNOUNCEMENT: A teacher announces in the class that she will take a surprise quiz in the next week.
DEFINITIONS:
1) a: exactly one i.e. ((quiz on Xday)AND(quiz on Yday)) = FALSE [for all Xday and Yday]
2) surprise: it can never be determined with 100 % confidence on which day the quiz will be held i.e. (quiz on Xday) != TRUE [for any Xday]
3) in the next week: ((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)OR(quiz on Friday)) = TRUE
CLAIM 1: One of the student gets up and says that the surprise quiz cannot be on Friday, because
CLAIM 1.(i)
If ((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)) = TRUE
Then (quiz on Friday) = FALSE
PROOF 1.(i)
Case I: (quiz on Monday) = TRUE
==> ((quiz on Monday)AND(quiz on Friday)) = FALSE [exactly one quiz]
but since (quiz on Monday) = TRUE
hence, (quiz on Friday) = FALSE
Case II: (quiz on Tuesday) = TRUE
==> ((quiz on Tuesday)AND(quiz on Friday)) = FALSE [exactly one quiz]
but since (quiz on Tuesday) = TRUE
hence, (quiz on Friday) = FALSE
Case III: (quiz on Wednesday) = TRUE
==> ((quiz on Wednesday)AND(quiz on Friday)) = FALSE [exactly one quiz]
but since (quiz on Wednesday) = TRUE
hence, (quiz on Friday) = FALSE
Case IV: (quiz on Thursday) = TRUE
==> ((quiz on Thursday)AND(quiz on Friday)) = FALSE [exactly one quiz]
but since (quiz on Thursday) = TRUE
hence, (quiz on Friday) = FALSE
Case V: ((quiz on Monday = FALSE)AND(quiz on Tuesday = FALSE)AND(quiz on Wednesday = FALSE)AND(quiz on Thursday = FALSE)) = TRUE [for completeness of all the CASES]
Let's take complement of both the sides,
==> ((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)) = FALSE
But it contradicts with our assumption
Hence, Case I to Case IV are complete representation of the given assumption.
In Case I to Case IV, (quiz on Friday) = FALSE
Hence,
If ((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)) = TRUE
Then (quiz on Friday) = FALSE
CLAIM 1.(ii)
((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)) = TRUE always
PROOF 1.(ii)
Let's prove by contradiction.
Let's assume that,
((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)) = FALSE
But,
((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)OR(quiz on Friday)) = TRUE [as per the ANNOUNCEMENT]
Hence,
(quiz on Friday) = TRUE
But, this contradicts with our definition of "surprise"
Hence, this case is not possible
Combining both the claims, we get that (quiz on Friday) = FALSE always
Hence, we can update our definition of "in the next week"
DEFINITIONS(update):
3) in the next week: ((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)) = TRUE
CLAIM 2: Assuming CLAIM 1 to be true (and updated definitions), the quiz cannot be on Thursday
CLAIM 2.(i)
If ((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)) = TRUE
Then (quiz on Thursday) = FALSE
PROOF 2.(i)
[Similar to PROOF 1.(i)]
CLAIM 2.(ii)
((quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)) = TRUE always
PROOF 2.(ii)
[Similar to PROOF 1.(ii)]
Combining both the claims, we get that (quiz on Thursday) = FALSE always
Continuing, we get
(quiz on Wednesday) = FALSE, and
(quiz on Tuesday) = FALSE
But, it was our initial assumption that
(quiz on Monday)OR(quiz on Tuesday)OR(quiz on Wednesday)OR(quiz on Thursday)OR(quiz on Friday) = TRUE
Hence,
(quiz on Monday) = TRUE
But, this contradicts with our definition of "surprise"
Hence, this case is not possible.
Hence, the ANNOUNCEMENT cannot be true.
Hence, no surprise quiz was held in the week :-)
Labels: comments, faith and temperance, intellectual, paradox, question, surprise quiz |
| posted by Rohit Agarwal
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