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(2nd round) Alper is the owner of Cube-XYZ, a perfect cube-shaped planet, and builds a mansion on one vertex of the cube, and distinct houses on the seven other vertices. houses are considered next door if they are connected by an edge of the cube. He is to host an intergalactic tea party for his friends: Wes, Ethan, Henry, Alan, James, Vincent, and Tom. They are able to be accommodated in separate houses. As host, Alper has conditions on how the guests must be placed on his planet: i) His best friend Ethan must live next door to him. ii) Henry and James must not live next door to each other. iii) Alan and Vincent must live next door to each other iv) Wes should be as many edges away from Alper as possible v) Alper lives in the Mansion vi) Tom lives (strictly) closer in distance to Wes than Alper. iii. Given the conditions in part ii are met (i.e. look at my previous question), what is the probability that Ethan and Wes live next door?
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Graduate Trader

Interviewed at Maven Securities

4.3★
Nov 24, 2020

(2nd round) Alper is the owner of Cube-XYZ, a perfect cube-shaped planet, and builds a mansion on one vertex of the cube, and distinct houses on the seven other vertices. houses are considered next door if they are connected by an edge of the cube. He is to host an intergalactic tea party for his friends: Wes, Ethan, Henry, Alan, James, Vincent, and Tom. They are able to be accommodated in separate houses. As host, Alper has conditions on how the guests must be placed on his planet: i) His best friend Ethan must live next door to him. ii) Henry and James must not live next door to each other. iii) Alan and Vincent must live next door to each other iv) Wes should be as many edges away from Alper as possible v) Alper lives in the Mansion vi) Tom lives (strictly) closer in distance to Wes than Alper. iii. Given the conditions in part ii are met (i.e. look at my previous question), what is the probability that Ethan and Wes live next door?

(2nd round) Andy and Marjorie are playing tennis. The points system is as follows: there are two conditions for a player to win a game: 1) A player must reach four points in that game before their opponent. So for example, if Andy wins four out of the first five points, then he wins 4-1. 2) A player must have at least two more points in that game than their opponent. So for example, if the score is 3-3 and then Andy wins a point, then the score is 4-3 to Andy but the game isn't over. If Andy wins the next point, then he wins the game 5-3; otherwise, the score is 4-4, and again a player must win two points in a row to win the game. When the score in a game is tied at 3-3 (or 4-4, or 5-5, and so on), it is called 'deuce'. To win a set, a player must win six games before their opponent and as with games, this must be by a difference of two. So for example if Marjorie wins 6 out of the first 8 games, she wins the set 6-2. Unlike games, however, sets do not go on indefinitely. You may assume for now that once the set reaches 6-6, it ends in a tie (so no 'tiebreaker'). ii. Suppose that Andy has a 25% chance of winning any given point, and Marjorie has a 75% of winning any given point. From deuce, what is the probability that Marjorie wins the game?
avatar

Graduate Trader

Interviewed at Maven Securities

4.3★
Nov 24, 2020

(2nd round) Andy and Marjorie are playing tennis. The points system is as follows: there are two conditions for a player to win a game: 1) A player must reach four points in that game before their opponent. So for example, if Andy wins four out of the first five points, then he wins 4-1. 2) A player must have at least two more points in that game than their opponent. So for example, if the score is 3-3 and then Andy wins a point, then the score is 4-3 to Andy but the game isn't over. If Andy wins the next point, then he wins the game 5-3; otherwise, the score is 4-4, and again a player must win two points in a row to win the game. When the score in a game is tied at 3-3 (or 4-4, or 5-5, and so on), it is called 'deuce'. To win a set, a player must win six games before their opponent and as with games, this must be by a difference of two. So for example if Marjorie wins 6 out of the first 8 games, she wins the set 6-2. Unlike games, however, sets do not go on indefinitely. You may assume for now that once the set reaches 6-6, it ends in a tie (so no 'tiebreaker'). ii. Suppose that Andy has a 25% chance of winning any given point, and Marjorie has a 75% of winning any given point. From deuce, what is the probability that Marjorie wins the game?

There are multiple panels to save the time. I was interviewed by two members one of them was trader in their company and other was from management. Before the interview began they handed out forms to fill in HR question like your greatest strength, your biggest achievement etc. They started with a HR questions and later asked math stuff. These are the asked to me 1) If there are 10 lakh people in a city how many fridges would be there in that city 2)Estimate the population of your city 3)Math calculations like square of 87 and gave a 10 seconds time to answer it 4) They wrote some currency conversion rates on a paper and gave me 15 seconds time to remember it and asked questions on it After this round another 3 rounds took place which are memory game, stress interview and HR
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Junior Trader

Interviewed at Futures First

4.3★
Nov 11, 2018

There are multiple panels to save the time. I was interviewed by two members one of them was trader in their company and other was from management. Before the interview began they handed out forms to fill in HR question like your greatest strength, your biggest achievement etc. They started with a HR questions and later asked math stuff. These are the asked to me 1) If there are 10 lakh people in a city how many fridges would be there in that city 2)Estimate the population of your city 3)Math calculations like square of 87 and gave a 10 seconds time to answer it 4) They wrote some currency conversion rates on a paper and gave me 15 seconds time to remember it and asked questions on it After this round another 3 rounds took place which are memory game, stress interview and HR

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