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cotpi
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Susam Pal
4/29/12
Discontinuing group updates
cotpi updates won't be published to this group any more. You can continue to receive updates
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Discontinuing group updates
cotpi updates won't be published to this group any more. You can continue to receive updates
4/29/12
Susam Pal
4/22/12
Product of factors
Product of factors: http://cotpi/p/48/ Given the number of positive divisors of an unknown positive
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Product of factors
Product of factors: http://cotpi/p/48/ Given the number of positive divisors of an unknown positive
4/22/12
Susam Pal
3/22/12
Five-card magic trick
Two mathematicians perform a trick with a shuffled deck of distinct cards. One mathematician asks a
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Five-card magic trick
Two mathematicians perform a trick with a shuffled deck of distinct cards. One mathematician asks a
3/22/12
Susam Pal
2/22/12
Odd product of tens digits
The product of the tens digits of a few given perfect squares is odd. What is the units digit of the
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Odd product of tens digits
The product of the tens digits of a few given perfect squares is odd. What is the units digit of the
2/22/12
Susam Pal
2/17/12
Equals sums in rows and columns
Each square of a chessboard contains a number. The sum of the two largest numbers in each row is the
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Equals sums in rows and columns
Each square of a chessboard contains a number. The sum of the two largest numbers in each row is the
2/17/12
Susam Pal
2/11/12
Factors of factorials
What is the largest integer n such that n! can not be expressed as the sum of n distinct factors of
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Factors of factorials
What is the largest integer n such that n! can not be expressed as the sum of n distinct factors of
2/11/12
Susam Pal
2/11/12
Sum of differences
For a given even positive integer, we create two lists of integers such that every positive integer
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Sum of differences
For a given even positive integer, we create two lists of integers such that every positive integer
2/11/12
Susam Pal
1/10/12
Dropping marbles
There is a 200-storey building. You are given 5 identical glass marbles. You are allowed to drop any
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Dropping marbles
There is a 200-storey building. You are given 5 identical glass marbles. You are allowed to drop any
1/10/12
Susam Pal
,
Ryan Batterman
3
11/26/11
Real factors
e^(27/e) -Ryan Batterman On Nov 26, 2011 5:56 AM, "Susam Pal" <su...@susam.in> wrote:
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Real factors
e^(27/e) -Ryan Batterman On Nov 26, 2011 5:56 AM, "Susam Pal" <su...@susam.in> wrote:
11/26/11
Susam Pal
11/18/11
Distinct digits in multiples
The ruler of a wealthy kingdom pays his mathematics tutor with gold coins every day. Every evening,
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Distinct digits in multiples
The ruler of a wealthy kingdom pays his mathematics tutor with gold coins every day. Every evening,
11/18/11
Susam Pal
,
Kunal Kishor
4
11/15/11
Bob stumped God and the Devil
On Nov 15, 5:56 pm, Susam Pal <su...@susam.in> wrote: > On Nov 15, 11:20 am, Kunal Kishor
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Bob stumped God and the Devil
On Nov 15, 5:56 pm, Susam Pal <su...@susam.in> wrote: > On Nov 15, 11:20 am, Kunal Kishor
11/15/11
Vikram Agrawal (विक्रम अग्रवाल)
,
Susam Pal
2
10/24/11
Fwd: Puzzle: Color balls
> There are two baskets containing the same number of balls. Each ball is > either red or blue.
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Fwd: Puzzle: Color balls
> There are two baskets containing the same number of balls. Each ball is > either red or blue.
10/24/11
Susam Pal
,
kunal kishor
2
10/18/11
Basket of colourful balls
The first basket has more RED balls, it has 13 at least. With natural numbers, the minimum values
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Basket of colourful balls
The first basket has more RED balls, it has 13 at least. With natural numbers, the minimum values
10/18/11
Susam Pal
,
Vikram Agrawal (विक्रम अग्रवाल)
2
10/12/11
Circles in a circle
If Alan is taking first turn then he can win definetely. He has to put first coin exactly at center.
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Circles in a circle
If Alan is taking first turn then he can win definetely. He has to put first coin exactly at center.
10/12/11
Susam Pal
10/4/11
Thief-turned-teacher
A mathematics teacher narrated the most important story of his life to his students one day, "
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Thief-turned-teacher
A mathematics teacher narrated the most important story of his life to his students one day, "
10/4/11
Vikram Agrawal (विक्रम अग्रवाल)
,
Susam Pal
2
9/25/11
Solution: Cut Cube
On Sep 25, 4:41 pm, Vikram Agrawal (विक्रम अग्रवाल) <vragra...@gmail.com> wrote: > Answer is
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Solution: Cut Cube
On Sep 25, 4:41 pm, Vikram Agrawal (विक्रम अग्रवाल) <vragra...@gmail.com> wrote: > Answer is
9/25/11
Susam Pal
9/25/11
Transporting wax
A skilled artist once made a magnificent wax structure made of two wax cubes stacked on top of each
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Transporting wax
A skilled artist once made a magnificent wax structure made of two wax cubes stacked on top of each
9/25/11
Susam Pal
9/21/11
Sum of twin primes
An easy but an ugly puzzle. There is a list of distinct numbers. There are at least two numbers in
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Sum of twin primes
An easy but an ugly puzzle. There is a list of distinct numbers. There are at least two numbers in
9/21/11
Susam Pal
9/13/11
Empty neighbours
There are 64 pawns placed on a chessboard. Each square contains a pawn. Two squares are neighbours of
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Empty neighbours
There are 64 pawns placed on a chessboard. Each square contains a pawn. Two squares are neighbours of
9/13/11
Susam Pal
9/5/11
Tiling with triominoes
There is a square board made of at least 4 equal-sized squares. The number of squares in the board is
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Tiling with triominoes
There is a square board made of at least 4 equal-sized squares. The number of squares in the board is
9/5/11
Susam Pal
8/27/11
Power of 2
What is the greatest power of 2 that divides 3^(2^1024) - 1? http://cotpi.com/p/19/
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Power of 2
What is the greatest power of 2 that divides 3^(2^1024) - 1? http://cotpi.com/p/19/
8/27/11
Susam Pal
,
kunal kishor
3
8/27/11
Average salary problem
Here is a solution sent to me by Ryan Batterman: Let n be the number of friends in the group. Rip the
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Average salary problem
Here is a solution sent to me by Ryan Batterman: Let n be the number of friends in the group. Rip the
8/27/11
Susam Pal
8/22/11
Product
There is a list of 7 unique positive integers less than 10. One can not deduce whether their sum is a
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Product
There is a list of 7 unique positive integers less than 10. One can not deduce whether their sum is a
8/22/11
Susam Pal
8/16/11
Pawns
http://cotpi.com/p/17/ (I first got this puzzle from Prunthaban.) There are 64 pawns placed on a
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Pawns
http://cotpi.com/p/17/ (I first got this puzzle from Prunthaban.) There are 64 pawns placed on a
8/16/11
Susam Pal
8/8/11
Chessboard of averages
Each square of a chessboard contains a number that is equal to the average of the numbers in the
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Chessboard of averages
Each square of a chessboard contains a number that is equal to the average of the numbers in the
8/8/11
Susam Pal
8/1/11
Hats in a dark room
A puzzle from folklore: http://cotpi/p/15/ Arun, Bob and Charlie know that there are 3 red hats and 2
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Hats in a dark room
A puzzle from folklore: http://cotpi/p/15/ Arun, Bob and Charlie know that there are 3 red hats and 2
8/1/11
Susam Pal
7/25/11
Cut pie
Every Sunday morning, Alice and Beth bake a huge pie together. After it is ready, Alice chooses a
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Cut pie
Every Sunday morning, Alice and Beth bake a huge pie together. After it is ready, Alice chooses a
7/25/11
Susam Pal
7/18/11
Rolling coin
Rolling coin: http://cotpi.com/p/13/ Some perfectly circular coins are placed in a nearly circular
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Rolling coin
Rolling coin: http://cotpi.com/p/13/ Some perfectly circular coins are placed in a nearly circular
7/18/11
Susam Pal
7/10/11
Unique differences
Source: http://cotpi.com/p/12/ Four friends, Alice, Bob, Charlie and Dave, meet one Sunday afternoon
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Unique differences
Source: http://cotpi.com/p/12/ Four friends, Alice, Bob, Charlie and Dave, meet one Sunday afternoon
7/10/11
Susam Pal
7/2/11
God, the Devil and Bob
Puzzle from the last weekend: http://cotpi.com/p/10/ A person dies and meets God, the Devil and Bob
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God, the Devil and Bob
Puzzle from the last weekend: http://cotpi.com/p/10/ A person dies and meets God, the Devil and Bob
7/2/11