Given below is a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the 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.
Given below is a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the 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. Correct Answer If the data either in statement I alone or in statement II alone is sufficient to answer the question.
From Statement I : Let the first number be x
∴ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 8 × 6
⇒ 6 x + 30 = 48
⇒ 6 x = 48 – 30
⇒ 6 x = 18
⇒ x = 3
From Statement II : Let the first number be x
∴ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 48
⇒ 6 x + 30 = 48
⇒ 6 x = 48 – 30
⇒ x = 3
∴ The data either in statement I alone or in statement II alone is sufficient to answer the question.