1. 

The average age of teacher and students in a class is 3 years more than the average age of students. What is the age of the class teacher ?

I. There are 11 students in the class.

II. The average age of teacher and students is 14 years.

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 E

Explanation:

Average age of 11 students and 1 teacher = 14 years
Total age of (11 students and 1 teacher)
(14 x 12) years = 168 years.

Average age of ( 11 students and 1 teacher)
(Average age of 11 students) + 3
Average age of 11 students = (14 - 3) years = 11 years

Total age of 11 students = (11 x 11) years = 121 years.

Age of the teacher = (168 - 121) years = 47 years.

Thus, both I and II are needed to get the answer.
Correct answer is (E)