Mavensecurities

Just finished the Maven Securities 2026 Trader Summer Internship (Chicago) online test (OT). The questions were all multiple choice, covering math, probability, and logic. I've compiled a list and am sharing it here in the hopes that it will be helpful. Below are 18 questions I recall. It's set to 188 points to be visible. Please give me some points! The following content requires points higher than 188. You can already browse There are 100 teams playing in a knock-out competition. What is the least number of games to be played to decide the winner assuming no games are drawn? A) 50, B) 98, C) 99, D) 100, E) 101 Suppose we have a circular table, on which 3 legs are placed uniformly at random around the circumference of the tabletop. What is the probability the table can stand? A) 0, B) 1/4, C) 1/3, D) 1/2, E) 1 A 6-sided die is rolled and summed repeatedly until the sum is 100 or more. What is the most likely last roll? A) 1, B) 3, C) 4, D) 5, E) 6 There are three cookie boxes: the first contains 20 chocolate cookies, the second one contains 10 oat cookies, and the third box contains a mix of chocolate, oat, and raspberry cookies, 5 of each. Given we take two cookies from a box at random and both of them are chocolate, what is the probability we took them out of the first box? A) 1/2, B) 2/3, C) 41/46, D) 21/23, E) 10/11 You shuffle a pack of 54 regulation playing cards, including jokers. Turn over the cards one by one, discarding each one as you turn it over. What is the average number of cards required to be turned over to produce the first ace? A) 10, B) 10.5, C) 11, D) 13.5, E) 16 There is a knockout squash tournament in which 8 players enter. The first round matchups are drawn at random. Assuming the best player always beats the next best and so on, what is the probability the second best player makes the final? A) 3/8, B) 1/2, C) 4/7, D) 7/8, E) 1 There are 10 6-sided dices labeled from 1-10, how many different combinations can we get to have their face values sum to 16? A) 3003, B) 5005, C) 8008, D) 8010, E) 11440 A certain disease affects 1% of the population. A medical test is developed to test for the disease, but is imperfect. If a person has the disease, they will test positive 99% of the time. If a person does not have the disease, they will test positive 5% of the time. Given someone tests positive for the disease, what is the approximate probability they actually have the disease? A) 17%, B) 20%, C) 84%, D) 98%, E) 99% How many unique arrangements are there of the letters in the word STATISTICS? A) 50400, B) 201600, C) 604800, D) 1814400, E) 3628800 What is the probability of choosing an arrangement where all the S's appear consecutively? (referring to the word STATISTICS) A) 1/40, B) 1/15, C) 2/15, D) 1/10, E) 1/5 Once upon a time, a knight, a liar, a jester and a child meet. The knight always tells the truth, and the liar always lies. The jester only tells the truth if the person before is lying, and vice versa, and finally the child tells the truth after a truth, and a lie after a lie. The first person says "I am a jester". The second responds: "And I am not a knight". I know is I'm no liar". Determine how many of the four were telling the truth. A) 0, B) 1, C) 2, D) 3, E) 4 Jim flips a fair coin until he obtains two consecutive heads or tails for the first time. What is the probability he flips the coin an even number of times? A) 1/3, B) 1/2, C) 2/3, D) 4/7, E) 3/4 Antony collects toys in cereal boxes. There are 5 toys and each box has an independently random toy inside. If each cereal box costs £4, what is the expected cost to collect all the toys? A) £20, B) £45.68, C) £53.44, D) 58, E) £80 What is the smallest k such that any set of k distinct integers from {1, 2, ..., 100} must contain two numbers where one divides the other? A) 49, B) 50, C) 51, D) 89, E) 100 Suyash rolls three dices. What is the probability he rolled them in a strictly increasing order? A) 9%, B) 56%, C) 33.3%, D) 25%, E) 17% In a tribe language "OMOLON" there are only three syllables O, MO and LON. A word is considered to be any sequence of these syllables (syllables can be repeated, and it is not necessary to use all syllables). How many different words of length 5 are there in the language of this tribe? A) 7, B) 11, C) 12, D) 13, E) 16 We have a bag containing a large number of balls. 1/2 are white, 1/3 are red, and 1/6 are blue. Given the first ball you take out from the box is white, what is the Approximate probability that the next one will also be white? A) 1/12, B) 1/6, C) 1/3, D) 1/2, E) 2/3 Randomly select 3 different integers from 1-30, probability that one number is the average of the other two. A) 1/30, B) 3/58, C) 13/290, D) 12/203, E) 3/116 These are classic questions, many of which are common in Brain Teaser. I wish everyone gets an offer soon and a successful job application!