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Solve quantitative word and algebra problems

BlackEdgeData Scientist · Technical Screen

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This question evaluates quantitative reasoning and arithmetic/algebraic manipulation, covering unit conversion, percentage change, systems of linear equations, time-rate calculations, and series/summation properties.

Answer the following independent quantitative problems:

  1. How many 3-inch segments can a 4.5-yard line be divided into?
  2. Alex buys 100 shares at $100 per share. The price rises by 10% and he sells 50 shares. Then the price drops by 10% and he sells the remaining 50 shares. How much money does he receive for the last 50 shares?
  3. A cash drawer contains 160 bills, all $10s and $50s, totaling $2,760. How many of each denomination are in the drawer?
  4. A teacher has 4 hours to grade papers from 45 students. She finishes the first 5 papers in 30 minutes. What is the average time available per remaining paper?
  5. Let m = 1^2 + 2^2 + ... + 512^2. Compute S = 2^2 + 4^2 + 6^2 + ... + 1024^2 in terms of m.