Quantitative Associate Interview Questions

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Take an integer, sum the square of its digits, repeat on the result. Some numbers will converge on 1, others will converge on 89. Write an algorithm to give the count of numbers from 1 to 1000000 that converge on 89.
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Quantitative Software Engineer

Interviewed at Jump Trading

4.2
Nov 9, 2016

Take an integer, sum the square of its digits, repeat on the result. Some numbers will converge on 1, others will converge on 89. Write an algorithm to give the count of numbers from 1 to 1000000 that converge on 89.

If it is a good day (G) there are 60% chances tomorrow will be G and 40% chances tomorrow will be bad (B). If it is a B day, there 30% chances tomorrow will be G and 70% chances tomorrow will be B. If today is B, what is the expected number of days before seeing another B?
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Quantitative Trader

Interviewed at Susquehanna International Group

3.8
Nov 2, 2020

If it is a good day (G) there are 60% chances tomorrow will be G and 40% chances tomorrow will be bad (B). If it is a B day, there 30% chances tomorrow will be G and 70% chances tomorrow will be B. If today is B, what is the expected number of days before seeing another B?

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