**Ages Related Problem Set 8**

Age Related Problems are important questions for all competitive exams. These questions are asked in sets of 2-3 questions.

Q1. The age of the father 5 years ago was 5 times the age of his son. At present the father’s age is 3 times that of his son. What is the present age of the father ?

(a) 33 years

(b) 30 years

(c) 45 years

(d) Can’t be determined

(e) None of these

Q2. There were 15 students in a class. When the ages of a teacher and anew boy are added, the average age of the class increases by 10 per cent while it remains the same when only the age of a boy is added. If the teacher’s age is eight more than twice the age of the new boy, then find the initial average age of the class.

(a) 15.4 years

(b) 16.5 years

(c) 11.4 years

(d) Can’t be determined

(e) None of these

Q3. The age of a person k years ago was half of what his age would be k years from now. The age of the same person p years from now would be thrice of what his age was p years ago. What is the value of the ratio k : p ?

(a) 3 : 2

(b) 2 : 3

(c) 1 : 4

(d) 4 : 1

(e) None of these

Q4. A father’s age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages. Then the father’s age is :

(a) 30 years

(b) 40 years

(c) 35 years

(d) 45 years

(e) None of these

Q5. The average age of an adult class is 40 years. Twelve new students with an average age of 32 years join the class, thereby decreasing the average age of the class by 4 years. The original strength of the class was :

(a) 10

(b) 11

(c) 12

(d) 15

(e) None of these

Answers:

1-B

2-C

3-B

4-A

5-C