Virtu Financial interview questions

Showing 1–13 of 13 results

• Approximate a Binomial Upper Tail with a Normal DistributionHard

  This question tests the application of the Normal approximation to the Binomial distribution, the use of continuity correction, and the ability to evaluate the error bounds of this approximation.

  Virtu FinancialQuantitative ResearcherStatistics & MathOnsite
• Approximate a Rare-Event Binomial ProbabilityHard

  This problem tests the application of the Poisson approximation to binomial distributions for rare events and the evaluation of the error bounds associated with this approximation.

  Virtu FinancialQuantitative ResearcherStatistics & MathOnsite
• Birthday Collisions and the Closest Pair of BirthdaysHard

  This problem tests your understanding of probability theory, specifically the generalized birthday paradox, and your ability to analyze spacing distributions of random variables.

  Virtu FinancialQuantitative ResearcherStatistics & MathOnsite
• Compare Two Strategies for Getting Ten Consecutive HeadsHard

  This problem tests your ability to model probability through recursion and expectation, specifically comparing the efficiency of two distinct strategies for achieving a target streak of coin tosses.

  Virtu FinancialQuantitative ResearcherStatistics & MathOnsite
• Compute probability in urn with green returnsMedium

  Compute probability in urn with green returns evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Virtu FinancialData ScientistStatistics & MathTechnical Screen
• Compute probability with colored balls drawsMedium

  This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Compute probability with colored balls draws states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Virtu FinancialData ScientistStatistics & MathTechnical Screen
• Implement Connect Four Winner DetectionMedium

  This question evaluates the ability to design and implement game-state logic for a Connect Four-style board, covering board data structures, coordinate and boundary handling, gravity-based token placement, and efficient pattern detection for consecutive tokens in the Coding & Algorithms domain.

  Virtu FinancialData ScientistCoding & AlgorithmsTechnical Screen
• Maximize Points by Buying Cost-Multiplier CardsMedium

  This problem tests your ability to determine an optimal ordering strategy and apply dynamic programming to maximize a cumulative score subject to specific operations.

  Virtu FinancialData ScientistCoding & AlgorithmsTechnical Screen
• Maximum Edges in a Triangle-Free GraphHard

  Determine the maximum number of edges an undirected, simple graph on n vertices can have without containing any triangle (K3), and construct one such extremal graph.

  Virtu FinancialQuantitative ResearcherCoding & AlgorithmsOnsite
• Maximum Total Height of Mountain-Shaped Towers Under Per-Plot Height CapsHard

  Each plot in a row has a maximum allowed tower height. Choose tower heights that rise to a single peak and then fall, never exceeding any cap, so that the total height is as large as possible. Tests reasoning about the peak position, per-position caps, and 64-bit sums.

  Virtu FinancialQuantitative ResearcherCoding & AlgorithmsOnline Assessment
• Minimum Number of Transfers to Settle All Debts in a GroupHard

  Given a list of past loans between people, compute the minimum number of new money transfers needed so that everyone's net balance returns to zero. Tests reducing a transaction log to net balances and searching for the fewest settling transfers under small input bounds.

  Virtu FinancialQuantitative ResearcherCoding & AlgorithmsOnline Assessment
• Reach a Target Pair by Repeatedly Adding One Coordinate to the OtherHard

  Starting from a pair of positive integers, each move adds one coordinate to the other. Decide whether an exact target pair can be reached. Tests reasoning about reachability when values go up to one billion and simulating every forward move is far too slow.

  Virtu FinancialQuantitative ResearcherCoding & AlgorithmsOnline Assessment
• Solve Four Online Assessment Coding TasksMedium

  Determine the maximum number of contiguous, non-empty subarrays an array can be partitioned into such that each subarray has the same sum.

  Virtu FinancialSoftware EngineerCoding & AlgorithmsOnline Assessment