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
E If the data given in both statements I and II together is not sufficient to answer the question. Correct Answer Incorrect Answer

Solution

From Statement I : Let the first number be x.
x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 8 × 6
⇒ 6x + 30 = 48
⇒ 6x= 48 – 30
⇒ 6x = 18
=> x = 3
From Statement II : Let the first number be x .
x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 48
⇒ 6x+ 30 = 48
⇒ 6x = 48 – 30
⇒ 6x = 18
=> x = 3

Relevant for Exams:

×