Investment Banking & Asset Management interview questions

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“You are in a room with 100 lights, initially all off. If you first toggle every light, then every second, and so forth up to 100, which lights will be on at the end?”

“Calculate e^5 up to two decimal numbers without calculation”

“how many times the hour and minute hands of the clock form right angle during one day?”

Trader at Jane Street

Sep 4, 2011

“Suppose you have n points on a circle distributed such that after connecting all of the points with chords, the number of regions in the circle is maximized. How many regions are there?”

“You flip four coins. At least two are tails. What is the probability that exactly three are tails? Do this in your head, you are not allowed to write anything down for this question.”

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“You are in a room with 3 switches which correspond to 3 bulbs in another room and you don't know which switch corresponds to which bulb. You can only enter the room with the bulbs once. You can NOT...”

“you have five coins. One is double-headed. Pick one coin at random without looking and throw it 5 times. Suppose the outcome are five heads, what is the probability that the coin picked is the...”

Trader at Jane Street

Mar 6, 2012

“A has 5 fair coins and B has 4 fair coins. A wins only if he flips more heads than B does. Probability of A winning?”

“If you roll a fair coin 12 times what is the expected product of number of heads and number of tails? (No papers of course)”

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