EASY
CAT
IMPORTANT
Earn 100

The average age of all the 100 employees in an office is 29 years, where \( \frac{2}{5}th \) employees are females and the ratio of the average age of males to females is 5 : 7. The average age (in years) of females employees is -

50% studentsanswered this correctly

Important Questions on Averages

HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 15
The average of 26, 29, n, 35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers, then find the value of n. 
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 19
A number is such that when it is multiplied by 8, it gives another number which is as much above from 270, as the original number is below 270. Find the average of the original number and 270.
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 21
The average age of all the 20 students of a class is 24 years. The minimum age of a student is 18 years and the maximum age of another student in the same class is 30 years. When the two students, whose average age was 26 years, were restricted from the class but later on one of the restricted students was readmitted, then, find the new average age of the class.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 22
In a set of prime and composite numbers, the composite numbers are twice the number of prime numbers and the average of all the numbers of the set is 9. If the number of prime numbers and composite numbers are exchanged, then the average of the set of numbers is increased by 2. If during the exchange of the numbers, the average of the prime numbers and composite numbers individually remained constant, then, find the ratio of the initial average of composite numbers to the initial average of prime numbers.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 23
The total age of all the guests at a party was 540 years. If a South Indian couple (guests) left the party, then the average of the remaining guests still remained unchanged, where the age of both the husband and wife (the South Indian couple) was the same. What can be the possible average age of this couple and the total number of guests at the party?
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 24
In the command hospital, Lucknow, the sum of the ages of all the 29 people, which are the physicians, surgeons, and nurses, is 696 years. If the age of each physician, each surgeon, and each nurse was 1 year, 6 years, and 3 years more respectively, then, the average age of the whole staff would have been 3 years more. If the number of surgeons is a square root of a two-digit number which is also a perfect cube, then find the number of nurses in the hospital.
EASY
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 26

The average marks of Avi decreased by one, when he replaced the subject in which he has scored 40 marks by the other two subjects in which he has scored 23 and 25 marks respectively. Later he has also included 57 marks of Maths, then the average marks increased by two. How many subjects were there initially?

HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 27
In a family, the average age of 4 males and 7 females is 42 years and 20 years respectively. If two persons, whose average age is 13 years, left the family and the other three people joined the family, whose respective ages are 11, 15 and 28 years, then, find the increase in average age of the family.