Averages and Ages Level 3

Q: A school maintains a good average in the whole city. Unfortunately in one class alone, 10 students failed the exam from a total of 56 students. The overall average of the class is 40 marks. The people who failed the test got an average mark of one-seventh of the class average. Then what is the average marks of students who passed the exam?
A: 47.45
Q: The ages of A and B are in the ratio of 6:5 and sum of their ages is 44 years. The ratio of their ages after 8 years will be
A: 8:7
Q: In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is nine years younger than her husband and the brother is seven years older than his sister. What is the age of the mother?
A: 60 years
Q: 10 years ago 10 people's age was 33. After 3 years, a person of age 40 dies. After another 3 years, another person of 40 years dies. After another 3 years, another person of 27 years dies. Find the present average age.
A: 44.43
Q: The average salary of Sanjay from January to June is Rs. 12000 and from July to September is Rs. 13000 and for the last 3 months the average salary is Rs. 1500 more than July to September. Find the average annual salary of Sanjay.
A: Rs. 12875
Q: The age of the father is twice the age of the elder son. Ten years later the age of the father will be 3 times that of the younger son. If the difference between the ages of the two sons is 15 years, the age of the father is?
A: 50
Q: The average age of a family of 4 members was 19 years, 4 years back. The birth of a new child kept the average age of the family same even today. How old is the child today?
A: 3 years
Q: The sum of a father’s age and his son’s age is 100 years. Also, one-tenth of the product of their ages, in years, exceeds the father’s age by 180. How old is the son?
A: 40
Q: My father was 30 years of age when my sister was born. My mother was 38 years of age when I was born. My sister was 6 years of age when my brother was born who is 3 years elder than me. What was the age of my father and mother during the birth of my brother?
A: 36, 35
Q: I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. How old am I and how old is my son?
A: 45 years, 15 years
Q: Rohan is as much younger than Ajay as he is older than Meena. The sum of the ages of Ajay and Meena is 108 years. How old is Rohan?
A: 54 years
Q: The average of marks obtained by a class A is 72, by B is 60 and by C is 50. The average of classes A and B is 69 while the ratio of the numbers of students in classes B and C is 6 : 7. Find the combined average of all three classes.
A: 64.7
Q: At Chennai, it rained as much on Tuesday as on all the other days of the week combined. If the average rainfall for the whole week was 3 cm, how much did it rain on Tuesday?
A: 10.5 cm
Q: Three science classes: X,Y and Z, take an organic chemistry test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and average score of class Y and Z is 81. What is the average score of classes X,Y,Z ?
A: 81.5
Q: A shopkeeper has two types of rice, the first type costs Rs.40 per kg and the cost of the second type is not known. To gain 30% on the whole, he mixed 20 kg of first type rice with 40kg of second type rice and sold the mixture at Rs.78 per kg. By what percentage is the cost of second type rice more than the cost of first type rice?
A: 75%
Q: A man’s age is 125 per cent of what it was 10 years ago, but 83 1/3 per cent of what it will be after ten years. What is his present age?
A: 50 years
Q: Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages, he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?
A: None of these
Q: The sum of ages of Jenny Shipley and her mother is 36 years. Also, 6 years ago, the mother's age was 3 times Jenny Shipley's age. Find the present age of Jenny Shipley's mother.
A: 24 years
Q: The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A
A: 12
Q: In a startup on healthcare, there were only 20 employees, out of which the 10 newly joined freshers receive Rs.8LPA (Lakhs Per Annum), 6 Senior associates make Rs.15LPA, and the 4 leadership role people get the highest package which is the same for all four people. While auditing, the startup came to know that the average annual salary paid out to all the employees amounts to Rs.17.5LPA, then what is the annual salary of each highest paid employee (in LPA)?
A: 45
Q: The ratio of the current ages of Ajay and Vijay is 7:4. The ratio between Ajay’s age 6 years ago and Vijay’s age 6 years from now is 1:1. Find the ratio between Ajay’s age 12 years hence and Vijay’s age 12 years ago.
A: 10:1
Q: The average age of 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?
A: 27 years
Q: Namrata’s father is now four times her age. In five years, he will be three times her age. In how many years, will he be twice her age?
A: 20
Q: If the present age of Kavya's mother is 6 years more than four times the present age of Kavya and 6 years hence ratio of ages of Kavya and her mother will be 1:3, then the present age of Kavya is what percent of the present age of her mother?
A: 20%
Q: The average weight of 80 members in a team is decreased by 0.35kg when one of the member whose weight is 90kg is replaced by a new member What is the weight of new member?
A: 62 kg
Q: If Dennis is 1/3rd the age of his father Keith now, and was 1/4th the age of his father 5 years ago, then how old will his father Keith be 5 years from now?
A:  50 years
Q: The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than Ankit's age by 4 years, what is Nikita's age?
A: 12 years
Q: Age of Umesh will be 4 times the age of Reena in 6 years from today. If ages of Umesh and Mahesh are 7 times and 6 times the age of Reena respectively, what is present age of Umesh?
A: 42 years
Q: A batsman makes a score of 77 runs in the 15th inning and thus increases his average by 3. Find his average after the 15th inning.
A: 35
Q: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the first number?
A: 8