From CSE Blog
June 2, 2011 at 2:39 pm
Problem 1: Each cell in a square table contains a number. The sum of the two greatest numbers in each row is a, and the sum of the two greatest numbers in each column is b. ... (
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From CSE Blog
May 26, 2011 at 7:21 am
Source: http://www.quantnet.com/forum/threads/colored-runs-of-cards.6508/
Problem:
There are 26 black(B) and 26 red(R) cards in a standard deck. A run is a maximum block of consecutive ... (
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From CSE Blog
May 24, 2011 at 2:06 pm
Source: IBM Ponder This - May 2011 Problem
Problem:
A barcode is composed of a series of variable-width white and black bars.
One of the important features of the barcode is ... (
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From CSE Blog
May 23, 2011 at 8:31 am
Source: Very interesting problem taken from Tanya Khovanova’s Math Blog
Problem: I found this cute problem in the Russian book Sharygin Geometry Olympiad by Zaslavsky, Protasov ... (
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From CSE Blog
May 11, 2011 at 11:55 pm
Source: Quantnet Forums
Problem:
You are given a stick of length 1 and a supply of n identical needles of length h. Drop the n needles at random on the stick, subject to the ... (
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From CSE Blog
May 11, 2011 at 11:53 pm
Source: Quantnet Forums
Problem:
You are given a stick of length 1 and a supply of n identical needles of length h. Drop the n needles at random on the stick, subject to the ... (
more)
From CSE Blog
April 11, 2011 at 3:21 am
Problem:
You pick random numbers between 0 and 1 (uniformly at random) x1, x2, x3.. as long as they keep decreasing x1 > x2 > x3 > ...
What is the expected value of ... (
more)
From CSE Blog
March 19, 2011 at 2:43 pm
Problem:
Pick a number from 0 to 100. The winner is the person who chooses the number closest to 2/3rds of the group's average response. What is the rational answer?
Related ... (
more)
From CSE Blog
March 13, 2011 at 7:56 am
Source: Concrete Mathematics, Donald Knuth
Problem:
Let's say we have a plane. Draw N straight lines on the plane, any way you wish. Try to divide the plane into as many different ... (
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From CSE Blog
March 13, 2011 at 6:45 am
Source: Puzzle Corner, Australian Mathematical Society
Problem: The king has 500 barrels of wine, but one of them is poisoned. Anyone drinking the poisoned wine will die within ... (
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From CSE Blog
February 26, 2011 at 1:05 am
In my humble opinion, "Fermat's Room" is perhaps the fourth best movie for mathematicians after A Beautiful Mind, Good Will Hunting and 21
Highlights:
1) Spanish movie ... (
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From CSE Blog
February 25, 2011 at 1:52 am
Source: Mailed to me by Sudeep Kamath (EECS PhD Student, UC Berkeley, EE IITB 2008 Alumnus)
Problem: Three people start with integer amounts a,b and c. In each round, each ... (
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From CSE Blog
February 24, 2011 at 2:48 pm
Source: Interview at one of the quant firms
Problem:
As posted in problems this and this, this is an extension to the derangement problem.
There are n men, n hats, one hat ... (
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From CSE Blog
February 6, 2011 at 4:18 am
Source: Posted by chera (Gaurav Sinha, IITK 1996 Graduate, Indian Revenue Service) in comments on Consecutive Heads Problem
Problem:
Suppose you have a fair coin and you toss ... (
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From CSE Blog
January 31, 2011 at 1:30 pm
Source: Quant interview at Religare Technova
Problem: Write a C program to compare two integers without using relational operators (== != < <= > >=)
... (
more)
From CSE Blog
January 30, 2011 at 2:12 am
Source: Problems on Algorithms (Ian Parberry and William Gasarch)
Problem:
Let f be a function which takes a number x (number with say n digits, digit i represented by ... (
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From CSE Blog
January 27, 2011 at 7:33 am
Source: Mailed to me by Sudeep Kamath (EECS PhD Student, UC Berkeley, EE IITB 2008 Alumnus), Taken from Anand Sarwate (Postdoc at UC San Diego, PhD from UC ... (
more)
From CSE Blog
January 20, 2011 at 12:40 pm
Source: CMU Puzzle Toad
Problem: Farmer Brown is standing in the middle of his perfectly circular field feeling very content. It is midnight and there is no moon and unknown ... (
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From CSE Blog
January 20, 2011 at 12:31 pm
Source: www.quantstudy.com
Problem: Let A and B be two cities, with two different roads connecting them. Suppose that two cars can travel from A to B on different roads, keeping ... (
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From CSE Blog
January 7, 2011 at 12:20 pm
Source: Asked to me by Piyush (Third year Undergraduate Student, CSE, IITD)
Problem: There is a big line of people waiting outside a theatre for buying tickets. The theatre ... (
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From CSE Blog
January 4, 2011 at 4:35 am
Source: http://deltaepsilons.wordpress.com/
Problem: Consider a set of n objects from which m are drawn randomly at a time, with replacement. What is E(n,m), the expected ... (
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From CSE Blog
December 24, 2010 at 3:34 pm
Source: Introduction to Algorithms (by Cormen, Rivest, Leiserson)
Problem:
Suppose that you are given 'n' red and 'n' blue water jugs, all of different shapes and sizes. All ... (
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From CSE Blog
December 18, 2010 at 11:20 pm
Source: Asked to me by Dinesh Dharme (CSE IITB Fifth year student)
Problem:
You have a array of 0's and 1's. e.g. 0001011101001010100101010101100111
Find the maximum contiguous ... (
more)
From CSE Blog
December 8, 2010 at 4:53 am
There is a lock which is an N by N grid of switches. Each switch can be in one of two states (on/off). The lock is unlocked if all the switches are on. The lock is built in such ... (
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From CSE Blog
December 6, 2010 at 2:24 pm
Source: Asked to me by Prateek Srivastava (CSE IITB Alumnus & Yahoo! Software Engineer)
Problem:
I have ten cards, Ace,2,3,4,5,6,7,8,9,10. The value of the Ace is 1.
They’re ... (
more)