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SIG interview questions

26 questions researched across 1 SIG seat in Trading. Below are 12 of them.

Seats we researched

  • Quantitative TraderTrading · graduate · 30 min

12 SIG interview questions

  1. You flip a fair coin until you get heads, tails, heads in a row. What is the expected number of flips?

  2. You have 100 dollars and I give you another 100 to play a casino game on flips of a fair coin. It pays 4 to 5 - bet five, win four. You have to bet a total of at least 500 dollars before you can cash out. How do you maximise your expected earnings?

  3. Five rational pirates, ranked 5 down to 1, have 100 gold coins. The top pirate proposes a split; if fewer than half agree, he is killed and the next one proposes. How do the coins end up divided?

  4. I will sell you a bet on the sum of two dice at 8. Do you buy or sell, and at what size?

  5. You draw from a bag with 3 red and 5 blue. Two draws, no replacement. Probability both red?

  6. Multiply 37 by 43 out loud, and tell me how you did it.

  7. I roll a die and pay you whatever shows. After seeing it, you can choose to roll once more, but then you have to take the second number. What would you pay to play this game?

  8. A purple flower will bloom at a uniformly random time in the next 20 days and stay open for 4 days; independently, a red flower blooms at a random time in the same 20 days and stays open for 8. What is the probability they are in bloom at the same time?

  9. Make me a market on the number of dominoes in a standard double-six set. Give me a bid and an offer.

  10. A bag holds one fair coin and one two-headed coin. I pick one at random and flip it three times: three heads. What would you pay for a bet that pays one dollar if it is the two-headed coin?

  11. There is 100 dollars in the pot and your opponent bets 50. What probability of winning do you need to call profitably?

  12. I roll two dice. What is the probability the sum is at least ten? Talk me through it.

What a strong answer does

The questions above fall into 2 kinds. What a strong answer does differs by kind, not by question.

Technical11 of 12 above
State the intuition first; walk through the mechanics; make assumptions explicit; test a risk or edge case; connect the answer to the role.
Case1 of 12 above
Clarify the objective; build a mutually exclusive structure; prioritize the highest-value branch; analyze with evidence; synthesize a recommendation, risks, and next step.

14 more SIG questions

The rest of the bank — 26 in total — is asked by the interviewer during practice, so you meet them the way you would on the day rather than reading them first.

Practise SIG questions

How these questions were researched

Every question carries a provenance grade. Some were reported by candidates who sat the round, some come from the firm’s own published guidance or a source that trains for it, and the rest are written to match how this firm asks. Each seat is studied on its own — the round it actually runs, the order it runs it in, and what it is listening for. A SIG round is not a generic behavioural screen, and practising one as the other is how people walk in unprepared.

Falas is not affiliated with or endorsed by any employer named. Simulations are independent practice based on publicly described recruiting formats.