Question

Directions: Below question is followed by two statements labelled I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:

I) There are total 6 numbers in which 3 consecutive even and 3 consecutive odd numbers.

II) Difference between middle term of each odd and even numbers is 7.

Find the average of six number of 6.

1.

Statement I alone is sufficient to answer the question.

2.

Statement II alone is sufficient to answer the question.

3.

Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.

4.

Either Statement I or Statement I 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 5 : Neither Statement I nor Statement II is sufficient to answer the question.

Statement (I):
Let the first even number be 'x'.

And first odd number be 'y'.

So, Even numbers = x, (x + 2), (x + 4)

And odd numbers = y, (y + 2), (y + 4) 

∴ The statement I alone is not sufficient to answer the question

Statement (II):

According to  the question,

(y + 2) - (x + 2) = 7

⇒ y - x = 7

∴ Statement II alone is not sufficient. 

∴ Neither Statement I nor Statement II is sufficient to answer the question.