Question

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

Find the average of 5 consecutive odd numbers.

Statement I. The sum of the second number and the third number is 184

Statement II. The difference between the third and second number is 2

1.

The statement I alone is sufficient to answer the question but, statement II alone is not sufficient.

2.

The statement II alone is sufficient to answer the question but, statement I alone is not sufficient.

3.

Both the statements I and II together are needed to answer the question.

4.

Either statement I alone or statement II alone is sufficient to answer the question.

5.

Neither statement I nor statement II is sufficient to answer the question.

Answer 1

Correct Answer - Option 1 :

The statement I alone is sufficient to answer the question but, statement II alone is not sufficient.

Concept:

Average = sum of the numbers/5

Statement I.

Let, Consecutive odd numbers will be of the form

x – 4, x – 2, x, x + 2, x + 4

Sum of second and third number is given

(x - 2) + x = 184

x = 93

By solving it we will get the numbers.

Average = sum of the numbers/5

Average = {(x – 4) + (x + 4) + (x – 2) + (x + 2) + x}/5

Average = x = 93

So, Statement I alone is sufficient to answer the question

Statement II.

Difference of third and second number is given.

(x – 2) – x = 2

Here variable is cancelled out so, we didn’t find value of x or average.

So, statement II is not sufficient

∴ The statement I alone is sufficient to answer the question but, statement II alone is not sufficient.