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      Question

      If x runs are second by Rohit, y runs by Shreyas and z

      runs by Virat, then x : y = y : z = 6:5. If total number of runs scored by Rohit, Shreyas and Virat is 637, the find the number of runs scored by Shreyas?  
      A 216 Correct Answer Incorrect Answer
      B 204 Correct Answer Incorrect Answer
      C 240 Correct Answer Incorrect Answer
      D 210 Correct Answer Incorrect Answer

      Solution

      ⇒ x : y = 6:5 = 36 : 30 ⇒ y : z = 6 : 5 = 30 : 25 ⇒ x : y : z = 36 : 30 : 25 Since total runs scored by Rohit, Shreyas and Virat = 637 ⇒ 36a + 30a + 25a = 637 ⇒ 91a = 637 ⇒ a = 637/91 = 7 Hence, Runs scored by Shreyas = 30 × 7 = 210

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