- to expand, or dig in by adding more tags and revising the query.
on Aug. 28, 2013 | Updated Jan. 4, 2018
7 points inside a hexagon
Consider a hexagon \(H\) with side length 1. Given any 7 points inside \(H\), show that at least two points are separated by a distance of at most 1.
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) ?
on May 7, 2014 | Updated Jan. 4, 2018
Quarter past three
How many degrees are there in the angle between the hour and minute of a clock when the time is a quarter past three ?
on June 1, 2013 | Updated Dec. 6, 2017
Connect nine dots
Draw nine dots (in 3 rows and 3 columns, equally spaced) as shown in the figure. Your task is to connect all the dots by four straight lines. The next line has to start where the previous line ended. …
on Sept. 28, 2013 | Updated Jan. 4, 2018
Let \(P\) be a set of \(n\) points in the plane, such that each 4-tuple forms a convex 4-gon. Then \(P\) forms a convex n-gon. Let \(P\) be a set of five points in the plane, with no three points c…
Sign In or Sign Up
Select What You'd Like To Post
POST AN ARTICLE
POST AN OPEN PROBLEM
POST AN EXERCISE
POST A MULTIPLE-CHOICE QUESTION
Terms of Service
IIT JEE Problems
International Mathematical Olympiad
Social learning platform. © 2016 True Group Inc. All Right Reserved