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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
Undergraduate
By
Shiva Kintali
on May 21, 2014 | Updated Jan. 4, 2018
99 fair coins
Person \(A\) flips 99 fair coins and obtains \(a\) heads. Person \(B\) flips 100 fair coins and obtains \(b\) heads. What is the probability that \(a < b\) ?
Mathematics
Probability
conditional probability
interview question
0
High School
By
Shiva Kintali
on Aug. 20, 2013 | Updated Jan. 4, 2018
Bug in a cube
A bug is sitting in one corner of a cube-shaped room. What is the shortest path to go to the extreme opposite corner (i.e., the corner that is farthest) ?
Puzzles
Puzzles
geometry puzzle
interview question
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
Undergraduate
By
Shiva Kintali
on May 31, 2012 | Updated Dec. 6, 2017
Party Problem
Suppose there are six people at a party. Prove that there are always three of them so that every two know each other (or) no two know each other. In other words, let the edges of the complete graph o…
Mathematics
Puzzles
Combinatorics
Graph Theory
Puzzles
counting
extremal graph theory
interview question
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.
Mathematics
Puzzles
Geometry
Puzzles
interview question
math puzzle
0
High School
By
Shiva Kintali
on June 10, 2012 | Updated Dec. 6, 2017
Find the faulty Ball
There are 12 balls. They all look alike but one of them is faulty; it weights differently. It is not known, if this ball is heavier or lighter than the other balls. How do you find the faulty ball by …
Puzzles
Puzzles
counting
interview question
0
Undergraduate
By
Shiva Kintali
on June 17, 2013 | Updated Dec. 6, 2017
Random cars
The probability of observing a car during a 30 minute period on a road is 95%. What is the probability of observing a car in a 10 minute period ?
Mathematics
Puzzles
Probability
Puzzles
interview question
probability
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 June 6, 2013 | Updated Dec. 6, 2017
Two points
Two points are chosen randomly and independently from the interval \([0,1]\) according to uniform distribution. What is the expected distance between the two points ?
Mathematics
Probability
expectation
interview question
1
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