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      Question

      An Army of 12000 consists of Europeans and Indians. The

      average height of a European is 5ft 10 inches and that of an Indian is 5ft 9 inches and that of the whole army is 5ft 9(3/4) inches. Then the number of Indians in the army is?
      A 3000 Correct Answer Incorrect Answer
      B 4000 Correct Answer Incorrect Answer
      C 5500 Correct Answer Incorrect Answer
      D 2700 Correct Answer Incorrect Answer

      Solution

      Using Allegation method 5 feet is common so ignore 5. 10 inch 9 inch 9(3/4) 3/4 1/4 Ratio of army of European to that of India = 3/4 : 1/4 = 3 : 1 β‡’ 3 + 1 = 4 unit β‡’ 4 unit = 12000 β‡’ 1 unit = 3000 ∴ Number of Indians in the army is 3000.

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