Some Ideas About Data Science, Statistics and Programming

Junior Quantitative Trader interview questions: Recently, I came across these questions for a Junior Trader position. Here I provide what should be my answers for any of those. I hope can be useful for anyone in the recruiting process for a similar position. Question 1:   What has been your biggest achievement so far? please provide any details about it. Question 2:   Compute the sum of numbers between 1 and 100 excluding all the numbers that include the digit 8. To solve this problem we need to compute first the sum of all the numbers from one until 100, this is: $$\sum_{i=1}^{n=100}i=\frac{n(n+1)}{2}=5050$$ Now, we need to subtract to 5050 the numbers: 8, 18, 28, ..., 78, 80, 81, 82, ..., 89, 98. Notice the following pattern for numbers up to 78: $$\sum_{i=1}^{8}\left[ 10(i-1)+8  \right]=(0*10+8)+(1*10+8)+(2*10+8)+...+(7*10+8)$$ This is equal to: $$\sum_{i=1}^{8}\left[ 10(i-1)+8  \right]=\sum_{i=1}^{8} \left[ 10i-10+8  \right] = 10 \sum_{i=1}^{8}i - \sum_{i...