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      Question

      What is the smallest number of the six numbers?

      I.The average of six consecutive odd numbers is 8. II. The sum of six consecutive odd numbers is 48. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –
      A If 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 If 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 If the data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
      D If the data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

      Solution

      From Statement I : Let the first number be x [if gte msEquation 12]>x [if !msEquation]-->[endif]-->. x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 8 x 6 ⇒ 6 x + 30 = 48 ⇒ 6 x = 48 – 30 ⇒ 6x [if gte msEquation 12]> x [if !msEquation]-->[endif]--> = 18 [if gte msEquation 12]>∴ [if !msEquation]-->[endif]--> [if gte msEquation 12]>x [if !msEquation]-->[endif]--> x = 3 From Statement II : Let the first number be x [if gte msEquation 12]>x [if !msEquation]-->[endif]-->. x + x [if gte msEquation 12]>x [if !msEquation]-->[endif]--> + 2 + x [if gte msEquation 12]>x [if !msEquation]-->[endif]--> + 4 + x [if gte msEquation 12]>x [if !msEquation]-->[endif]--> + 6 + x [if gte msEquation 12]>x [if !msEquation]-->[endif]--> + 8 + x [if gte msEquation 12]>x [if !msEquation]-->[endif]--> + 10 = 48 ⇒ 6 x + 30 = 48 ⇒ 6 x = 48 – 30 ⇒ 6 x = 18 [if gte msEquation 12]>∴ [if !msEquation]-->[endif]--> x = 3

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