Problem on Ages - Quantitative Aptitude (MCQ) questions for Q. 21104
Q. The average age of 19 boys and the class teacher is 16 years. If the ages of the class teacher and one of the boys are excluded, the average age reduces to 15 years. What is the age of the class teacher ?- Published on 20 Apr 16a. 40 years
b. 36 years
c. 31 years
d. Data Inadequate
ANSWER: Data Inadequate
No. of Persons = 19 boys + 1 class teacher = 20
Average age of 20 people is 16 years.
Therefore, total age of 20 persons = 20 * 16 = 320 years ------ (A)
If the class teacher and one boy are excluded, then the average age is 15 years.
Therefore, total age of 18 boys = 18 * 15 = 270 years ------ (B)
Age of the class teacher and one boy = 320 – 270 = 50 years.
Data is inadequate as the relation between the ages of the boy and the teacher is not provided.
