Multiple choice

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Directions: Study the following information carefully and answer the given question. The data below represents the number of people required for various assignments to be completed in various days. Assignment Situation 1 Situation 2 Number of Employees Days Required Number of Employees Days Required X (p + 10) p (p + 20) (p – 6) Y (q + 5) 60 15 (q + 80) Z 125 r 2 20 s 2

In a group, the total number of employees is (0.2r × 0.5s). Then how many days are required by the group to complete assignment Z?

  1. 500

  2. 450

  3. 550

  4. 600

  5. None of these

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A Correct answer
AI explanation

From assignment Z, the total work is calculated by multiplying the employees and days, giving (125 * r^2) = (20 * s^2). Using the assignments X and Y to find the variables, we solve for s from X as s = 10, which makes the total work 20 * 100 = 2000. The group size is given as 0.2r * 0.5s = 0.1rs, and substituting r = 4 and s = 10 gives 4 employees. Finally, dividing the total work of 2000 by 4 employees gives exactly 500 days. 500.