SIG 2027 Quant Researcher OA面经分享，求加米！！！

新人求米啊家人们，万分感激！
SIG 2027 OA整体来说题目类型和之前变化不大

• You walk into a barn and see a collection of spiders, chickens, and cows. You notice that there are 520 legs in total. The number of chickens is twice the number of cows and the number of spiders is twice the number of chickens. Compute the number of spiders.
• I need to seat 5 toddlers (Anna, Brian, Charlie, Dixie, Eva) at a round table with these rules: i) Anna won’t sit next to Brian or Eva. ii) Brian won’t sit next to Charlie. iii) Dixie won’t sit next to Eva or Charlie If Dixie is sitting to the left of Anna, who is sitting to the left of Brian?
• 1000 people were surveyed about their preferred method of exercise. The table shows results by age group. If you meet a 33-year-old who took the survey compute the probability she prefers swimming. 18-22 23-27 28-32 33-37 Total Run 54 40 42 66 202 Bike 77 68 90 70 305 Swim 28 43 50 52 173 Other 90 78 71 81 320 Total 249 229 253 269 1000
• Compute the weight of the green triangle in pounds if the following system is balanced and weighs 96 pounds in total.
  [img=335,249.35520361990953][/img]
• On Facebook, 30% of stories are fake news. Fake news stories have an 80% probability of having at least 100 likes. Real news stories have an 8% probability of having at least 100 likes. If a story has at least 100 likes, compute the probability it is fake news.
• Factory A makes 40% red widgets and 60% black widgets. Factory B makes 80% red widgets and 20% black widgets. Two
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  uilding with 1, 2, 3, or 4 floors in each cell such that no two buildings in a row or column have the same number of floors. In addition, the number of visible buildings, as viewed from the direction of each number outside the grid, is equal to the value of that number. Note that taller buildings block shorter buildings located behind them. What is the number of floors in the buildings in the cells labeled A and B? Express your answer as a two-digit integer AB.
  [img=322,291.8379746835443][/img]
• A frog travels from point A (0,0) to point B (7,6) but each step can only be 1 unit up or 1 unit to the right. Additionally, the frog refuses to move three steps in the same direction consecutively. Compute the number of ways the frog can move from A to B.    球球家人们给点米，整理不易，感谢感谢