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      Question

      How many days will it take for 4 boys and 10 girls to

      complete the task? Statement I: A group of 5 boys and 8 girls can finish the task in 12 days. Statement II: A group of 8 boys and 10 girls can finish the same task in 8 days. The questions contain two statements as statement I and statement II. Determine which statement/s is/are necessary to answer the question and give an answer as,
      A The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question Correct Answer Incorrect Answer
      B The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question Correct Answer Incorrect Answer
      C The data either in statement I alone or in statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
      D The data given in both statements I and II together are not sufficient to answer the question Correct Answer Incorrect Answer
      E The data given in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

      Solution

      ATQ, Let Boys and girls taken as 'b' and 'g' respectively,

      (5 b + 8 g) * 12 = (8 b + 10 g) * 8 15 b + 24 g = 16 b + 20 g 4 g = 1 b 5 b + 8 g = 20 g + 8 g = 28 g 4 b + 10 g = 16 g + 10 g = 26 g Girls          days 28                 12 26                   ? Required days = (28 * 12) / 26 = 12 12/13 days Both Statements I and II together are sufficient to answer the question.

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