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      Question

      Find the total number of voters in the city.

      Statement I: A and B contested in an election. 40% votes were invalid. A got 65% of the valid votes and B got 25% of the invalid votes. Statement II: Total votes (valid + invalid) obtained by A is 1035.
      A A Correct Answer Incorrect Answer
      B B Correct Answer Incorrect Answer
      C C Correct Answer Incorrect Answer
      D D Correct Answer Incorrect Answer
      E E Correct Answer Incorrect Answer

      Solution

      ATQ, From Statement I, Let the total number of voters be 100x Invalid votes = 100x Γ— 40/100 = 40x Valid votes = 100x βˆ’ 40x = 60x Valid votes got by A = 60x Γ— 65/100 = 39x Valid votes got by B = 60x βˆ’ 39x = 21x Invalid votes got by B = 40x Γ— 25/100 = 10x Invalid votes got by A = 40x βˆ’ 10x = 30x So, Statement I alone is not sufficient. From Statement II, Total votes got by A is 1035 So, Statement II alone is not sufficient. From Statement I and II, 39x + 30x = 1035 69x = 1035 x = 15 Total number of voters = 100 Γ— 15 = 1500 Both statements are necessary to answer the question.

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