1. 

What is the average age of children in the class ?

I. Age of the teacher is as many years as the number of children.

II. Average age increased by 1 year if the teacher's age is also included.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Answer: Option D

Explanation:

Let there be x children.

I gives, age of teacher = x years.

II gives, average age of (x + 1) persons

= (x + 1) years.

Teacher's age :

= (x + 1) (x + 1) - x2 = (x2 + 1 + 2x) - x2 

= (1 + 2x)

Thus, teacher's age cannot be obtained.

Correct answer is (D)