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ujjagrawal's Activity

ujjagrawal added an answer to a question Crunching Gears

ujjagrawal added an answer to a question Who teaches so loudly??
How this answer is absolutely correct... ??? Your clue 2 says... The four teachers are: Lalita, a teacher who teaches in classroom A2
As per above answer... A2 has Sushma... Are you sure of your puzzle... I think its all messed up...

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ujjagrawal added an answer to a question Killville  The ultimate Survivor game

ujjagrawal added an answer to a question An Uncertain Meeting
My workings

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ujjagrawal added an answer to a question An Uncertain Meeting
I had got the same answers as you... but would like to see how you had worked it out...
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ujjagrawal added a question in New Logic/Math Puzzles
An Uncertain MeetingThere are two friends, who decide to meet at a place between 5 PM to 6 PM everyday. What are the chances that, on a given day, they will be able to meet. Provided
Case 1: They agreed whoever comes first, will wait for 15 minutes for another friend to arrive.
Case 2: One friend wait for 10 minutes and other for 20 minutes for another friend to arrive.
And which of the above two cases holds better chances of there meeting ?
 7 replies
 1549 views

ujjagrawal added an answer to a question Elevators problem
Thanks for raising above concerns... I assume, I framed the problem in bit hurry... here are the clarification to your concerns...
AIM is to minimize average waiting time...
Further assume, it's a residential building... all residents mostly travel between their floor and ground floor, so please ignore other inbetween floor travels...
Hope this problem make more sense now...

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ujjagrawal added an answer to a question Elevators problem

ujjagrawal added a question in New Logic/Math Puzzles
Elevators problemMost of the people, I understand, must not be happy with the logic by which the elevators on their building works. This is an opportunity for you to work on a logic that should be efficient, fair and a practical one.
There is a 12 floors building (excluding ground level) with 2 elevators. Can you work out what should be the ideal position for the two elevators (in terms of floor numbers), while they are not in use i.e. idle. Assume equal probability of getting calls from all 12 floors.
 11 replies
 2281 views

ujjagrawal added an answer to a question An unfair coin
Both of you are absolutely correct... Witzar I liked the way with ease you worked it out...

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ujjagrawal added a question in New Logic/Math Puzzles
An unfair coinAn unfair coin has the property that when flipped four times, it has the same probability of turning up 2 heads and 2 tails (in any order) as 3 heads and 1 tail (in any order). What is the probability of getting a head in any one flip?
 3 replies
 842 views

ujjagrawal added a question in New Logic/Math Puzzles
A merciless emperorThere's a merciless emperor who has 500 bottles of very expensive wine in his cellar.
An assassin infiltrates the wine cellar to poison the wine. Fortunately the emperor’s guards catch the plotter after she has poisoned only one bottle. Unfortunately, the guards don’t know which one of the bottles is poisoned.
The poison exhibits no symptoms until death. Death occurs within ten to twenty hours after consuming even the minutest amount of poison.
The emperor decides he will get some of the prisoners in his dungeons to test the wine as he has handful of them about to be executed.
What is the smallest number of prisoners that must have to drink from the bottles to be absolutely sure to find the poisoned bottle within 24 hours?
 12 replies
 2060 views

ujjagrawal added an answer to a question Darts at Morty's
When Davey and Ian playing together:
Combined probability of hitting a bull's eye will be 
90% + 10% x 80% = 98% (If Davey fails to hit, when going first)
or
80% + 20% x 90% = 98% (If Ian fails to hit, when going first)
Clearly, more than 97% probability by Alex, so Alex definitely made a BAD bet.

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ujjagrawal added an answer to a question Classic eggs problem

ujjagrawal added a question in New Logic/Math Puzzles
Classic eggs problemYou have been given three eggs and your job is to figure out how high an egg can fall from a 120 story building before it breaks. The eggs might break from the first floor, or might even survive a drop from the 120th floor, you have no prior information about it. Except all three eggs are know to be of exactly same strength.
What's the most efficient way to drop the eggs i.e. reducing the number of times you need to drop eggs and still able to determine the answer? You are allowed to break all three eggs, as long as you identify the correct floor afterwards.
After you've solved the above problem, generalize. Define the "break floor" as the lowest floor in a building from which an egg would break if dropped. given an n story building and a supply of m eggs, find the strategy which minimizes (in the worst case) the number of experimental drops required to determine the break floor.
 6 replies
 2808 views