Quantitative Researcher - Optiver

D. S. A. Pattern

Fulltime Computer Occupations
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Location
Eindhoven, North Brabant, Netherlands
Posted
May 30, 2026

Job Description

Quantitative Researcher - Optiver

Can you solve this puzzle? 

An ant leaves its anthill in order to forage for food. It moves with the speed of 10cm per second, but it doesn't know where to go, therefore every second it moves randomly 10cm directly north, south, east or west with equal probability.

  • If the food is located on east-west lines 20cm to the north and 20cm to the south, as well as on north-south lines 20cm to the east and 20cm to the west from the anthill, how long will it take the ant to reach it on average?
  • What is the average time the ant will reach food if it is located only on a diagonal line passing through (10cm, 0cm) and (0cm, 10cm) points?
  • Can you write a program that comes up with an estimate of average time to find food for any closed boundary around the anthill? What would be the answer if food is located outside an defined by ( (x – 2.5cm) / 30cm )2 + ( (y – 2.5cm) / 40cm )2 < 1 in coo...

    • Job Details

    • Job Type
      Fulltime
    • Category
      Computer Occupations
    • Date Posted
      May 30, 2026
    • Application Deadline
      July 09, 2026