Bose Olympiad 2026 Results
Level 3
| Rank | Name | Marks |
|---|---|---|
| 1 | DHATRI DEEPAK | 75 |
| 2 | REYANKSH DEB | 65 |
| 3 | ANIT MAHESHWARI | 63 |
Level 2
| Rank | Name | Marks |
|---|---|---|
| 1 | LALIT PASALA | 89 |
| 2 | SOUMALYA DAS | 83 |
| 3 | SIDDHARTH GOGAD | 81 |
Level 1
| Rank | Name | Marks |
|---|---|---|
| 1 | VASUDEV NAMBULLI | 83 |
| 1 | MYRA SWARNKAR | 83 |
| 2 | VAISHAMPAYAN MITRA | 75 |
| 2 | NAMAN SOMANI | 75 |
| 3 | MEHAR MAKAR | 69 |
Aditya Haladkar (Level 3 - N)
Problem: Given a circle of particular area and radius, and then you are given two other circles with distinct and unique radius r1, ω1 and r2, ω2. How should you fit and pack ω1 and ω2 in the larger circle, in what number of each, such that it covers maximum area within the larger circle with minimum holes? If so, what geometrical 1 properties are involved in this case and what unique properties could we discover with this optimization packing problem? Can we generalize this to n-distinct based circles with radius r1, r2, r3, r4, . . . , rn?
Aaheli Chatterjee (Level 2 - N)
Inspired by the Collatz Conjecture, define a family of functions fk on positive
integers, where k is a fixed positive integer.
For any positive integer n:
• If n is even, divide it by 2
• If n is odd, replace it with 3n + k
This generates the sequence:
n, fk(n), fk(fk(n)), . . .
Investigate the behavior of the sequence and how it depends on both n and k. Is there a value(s) of k for which the behaviour of the sequence is fundamentally different from the case of k = 1, or for which the qualitative behaviour of the sequence changes in a significant way?