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Question

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 –

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.

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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