Math Olympiad Problems based on Number Theory
Concept Building Math Olympiad Problems from India, US and Russia Math Olympiad and their discussion.
Problems asked in Various Math Olympiads related to Number Theory
Problems related to divisibility by 9
Problems related to divisibility by 11
Problems related to divisibility by 13
Problems for Math Olympiad based on Number Theory
Concept Building techniques to solve problems asked in Math Olympiads
Video Details
Question 1 5.03 Length
N is a 50 digit number in 10 base. All digits except the 26th digit ( reading from left) are 1. Given that N is divisible by 13, find its 26th digit.
Let A and B be two distinct seven digit numbers, each of which contains all the digits from 1 to 7. Prove that A is not divisible by B.
Adjoin to the digits 523... three more digits such that the resulting six digit number is divisible by 7 ,8 and 9.
Determine the number of five digit positive Integer abcde ( a,b,c,d and e) are not necessarily distinct) such that the sum of the three digits abc and the two digit number de is divisible by 11.
A positive Integer is written on each face of a cube. Each vertex is then assigned the product of the numbers on three faces intersecting the vertex. The sum of the numbers assigned to all the vertices is equal to 1001. Find the sum of the numbers written on the faces of the Cube.