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High School
By
Shiva Kintali
on Jan. 5, 2018
Evaluate Riemann Zeta function at all positive even integers
Reimann zeta function is the following \(\zeta(s) = \displaystyle\sum_{n=1}^{\infty}{\frac{1}{n^s}}\) Euler proved the following …
Mathematics
Mathematical Analysis
infinite series
riemann zeta function
0
High School
By
Shiva Kintali
on June 1, 2013 | Updated Dec. 6, 2017
The Sixth Sense
In the following, you are allowed to put any mathematical symbols on the left-hand side of the \("="\) sign to make the left-hand side evaluate to \(6\). For example, \(2+2+2=6\). Do this for all the …
Puzzles
Puzzles
math puzzle
0
High School
By
shitikanth
on June 21, 2012 | Updated Dec. 6, 2017
A well known triangle
Let \(ABC\) be an acute-angled triangle. Find points \(X, Y, Z\) on sides \(BC, CA\) and \(AB\) such that the perimeter of the triangle \(XYZ\) is minimized.
Mathematics
Geometry
optimization
0
High School
By
Shiva Kintali
on Aug. 4, 2012 | Updated Dec. 6, 2017
Olympic Number Puzzle
The Olympic emblem consists of five overlapping circles containing nine regions. Place numbers 1 to 9 in each of the 9 closed regions of olympic emblem such that the total inside each ring is the …
Puzzles
Puzzles
math puzzle
0
High School
By
Shiva Kintali
on July 18, 2012 | Updated Dec. 6, 2017
Red Blue Hats
There are 10 people and 10 hats. Each person is assigned a random hat, colored either RED or BLUE, but the number of each colored hat is not known to them. They will be lined up such that each person …
Puzzles
Puzzles
logic puzzle
0
High School
By
Shiva Kintali
on June 27, 2012 | Updated Dec. 6, 2017
Row of Coins
There are 50 coins arranged in a line on a tabletop. The coins are of various denominations. You choose a coin from one of the ends and put it in your pocket. Your opponent then chooses a coin from on…
Puzzles
Puzzles
game puzzle
interview question
0
High School
By
Shiva Kintali
on June 21, 2012 | Updated Dec. 6, 2017
Togglers and Truthtellers
There are five people. Four of them are togglers, and the fifth person is a truthteller. A toggler tells either the truth or lie when you ask him a question. The second time you ask him a question…
Puzzles
Puzzles
logic puzzle
0
High School
By
Shiva Kintali
on June 20, 2012 | Updated Dec. 6, 2017
Truthteller and Liar
You played a long role-playing treasure-hunting game for several hours and finally reached end of the last level of the game. You see two doors (\(A\) and \(B\)), and your treasure is behind one of tw…
Puzzles
Puzzles
logic puzzle
0
High School
By
Shiva Kintali
on Sept. 27, 2013 | Updated Jan. 4, 2018
Token game and Invariant
Consider the following game. Initially, there are two tokens in a row; the left one is blue and the right one is red. You can change the configuration by performing a number of moves. In ea…
Puzzles
Puzzles
invariant
0
High School
By
Shiva Kintali
on May 7, 2014 | Updated Jan. 4, 2018
Adding the Numbers 1 to 100
What is the sum of the integers from 1 to 100 ? Origin : See this anecdote.
Puzzles
Puzzles
math puzzle
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