Graviton Research Capital LLP | Quantitative Analyst (New Grad) | India | May 2025 [Rejected]

📞 Interview Process

Stages:

1. Introductory Call
2. Technical Round 1
3. Technical Round 2
4. Technical Round 3

🔍 Round 1: Problem Solving

• Q1: Find the maximum value of A[i] + A[j] + A[k] in an array such that A[i] < A[j] < A[k] and i < j < k.
• Q2: Leetcode - Domino and Tromino Tiling

💡 Round 2: Project + Logical Thinking

Discussion: Summer Internship Project

• Q1: On a standard chessboard, what is the maximum number of (for each type of piece):

  • Rooks
  • Kings
  • Bishops
  • Queens
  • Pawns
    that can be placed such that none attack each other? Also find the number of distinct ways to place them in such maximum configurations.

• Q2: There are 11 soldiers marching on a field, each one watches only his nearest soldier. Distances between all soldiers are distinct.
  Prove: There is at least one soldier who is not being watched.

🧠 Round 3: Project + Mathematical Puzzles

Discussion: Summer Internship Project

• Q1: Given an array of size 200 with whole numbers (≤ 200, possibly with duplicates),
  Prove: There exists at least one subset whose sum is divisible by 200.

• Q2: A collection initially has numbers from 1 to 50 (1,2,3....,50).
  In each operation, pick any two numbers a and b, remove them, and insert |a - b|.
  This is done 49 times until one number remains.
  Question: What are all possible final states of the collection?

🧾 Outcome

Final Status: Rejected
Despite not clearing the final round, the experience was a valuable opportunity to solve challenging problems and understand Graviton's rigorous selection process.