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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…
Puzzles
Puzzles
interview question
math puzzle
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 …
Puzzles
Puzzles
interview question
math puzzle
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…
Puzzles
Puzzles
math puzzle
pigeonhole principle
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High School
By
True IITJEE
on Jan. 7, 2017 | Updated Jan. 3, 2018
JEE Advanced 2016 Paper 1 Mathematics Question 41
The least value of \(\alpha \in \mathbb{R}\) for which \(4\alpha {x}^2 + \frac{1}{x} \geq 1\), for all \(x > 0\), is
Mathematics
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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.
Mathematics
Puzzles
Geometry
Puzzles
interview question
math puzzle
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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?
Mathematics
Puzzles
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Probability
Puzzles
math puzzle
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…
Puzzles
Puzzles
interview question
math puzzle
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…
Mathematics
Puzzles
Graph Theory
Puzzles
math puzzle
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 …
Puzzles
Puzzles
math puzzle
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…
Puzzles
Puzzles
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