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      Question

      The total number of students to the total number of

      teachers in Universities A and B is in the ratio 25:4. Additionally, the number of teachers in University A to those in University B is in the ratio 3:1. Given that the total number of students across both universities is 5000, determine the difference in the number of teachers between University A and University B.
      A 650 Correct Answer Incorrect Answer
      B 180 Correct Answer Incorrect Answer
      C 260 Correct Answer Incorrect Answer
      D 400 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Total students : total teachers = 25 : 4

      Total students = 5000

      So total teachers = (4/25) Γ— 5000 = 800

      Ratio of teachers in University A : B = 3 : 1

      Difference = 800 Γ— (3βˆ’1)/(3+1) = 400

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