DRW Quantitative Researcher OA 30min

申请职位为 Quantitative Researcher, 申请后过一天收到OA。
30分钟四道题，均为数学，与地里能够搜到的题目基本相同，就是修改了一些数字或条件。

1. Find the number of pairs (m,n) of non-negative integers such that 4m+7n = 1000

2. Given real numbers A and B, a mapping M of the plane to itself is defined by M: (x,y)-->(Ax + By, Bx + Ay). Aussme A >=0 an

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="font-size:11pt">4. Mark each vertex of a cube either red or blue. How many ways are there to make such a marking so that each of the 6 faces of the cube has an even number of blue vertices?

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