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High School
By Shiva Kintali on June 24, 2012 | Updated Dec. 6, 2017

Toggling 100 doors

There are 100 doors numbered 1 to 100 in a row. There are 100 people. The first person opens all the doors. The second person closes all the even-numbered doors. The third person changes the state of…
0
High School
By Shiva Kintali on April 1, 2014 | Updated Dec. 6, 2017

Designing two dice

You are given two blank dice i.e., all the sides of the dice are blank. You are allowed to write any integers on the sides of the dice. Only one integer on each side. Write the integers such that …
0
High School
By Shiva Kintali on May 7, 2014 | Updated Jan. 4, 2018

Sock Drawer puzzle

There are 10 socks of each of the following colors in a drawer: red blue green black white i.e., there are 50 socks. The socks are arbitrarily distributed in the drawer. You are blind-f…
0
High School
By Shiva Kintali on June 28, 2012 | Updated Dec. 6, 2017

Integral Rectangles

A large rectangle is partitioned into smaller rectangles, each of which has either integer height or integer width or both. Prove that the large rectangle also has this property.
0
Undergraduate
By Shiva Kintali on June 10, 2012 | Updated Dec. 6, 2017

Stick triangle

A stick is broken at random into three pieces. What is the probability that the pieces can form a triangle?
0
Undergraduate
By Shiva Kintali on Sept. 3, 2013 | Updated Jan. 4, 2018

Parliament Pacification

In a parliament, each member has at most three enemies. (We assume that enmity is always mutual). Is the following statement TRUE (or) FALSE ? One can always divide the parliament into two chambe…
0
High School
By Shiva Kintali on June 2, 2013 | Updated Dec. 6, 2017

Die Hard Water Puzzle

You have a 3 litre jug and a 5 litre jug. Each jug has no markings on them. You have a running tap (i.e., infinite supply of water). You must use the jugs and the tap in such away as to exactly measur…
0
High School
By Shiva Kintali on Aug. 1, 2012 | Updated Dec. 6, 2017

Two Secret Integers

I am thinking of two integers, each of them is more than 1 and their sum is less than 100. I tell my friend A the sum of these two numbers, and another friend B, product of these two numbers. Then the…
0
High School
By Shiva Kintali on Aug. 15, 2012 | Updated Dec. 6, 2017

Two Eggs Puzzle

You have two eggs, and access to a 100 story building. There is some floor on the building below which the eggs will not break, if dropped. What is the worst upper case bound on the number of drops …
0
High School
By Shiva Kintali on May 5, 2014 | Updated Jan. 4, 2018

Wine and water mixing problem

In the wine and water mixing problem, one starts with two barrels, one holding wine and the other an equal volume of water. A cup of wine is taken from the wine barrel and added to the water. A cup of…
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