# Averages

### A family has two children along with their parents

A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?

1. 48 kg
2. 50 kg
3. 52 kg
4. 54 kg

### The average marks of 100 students are given to be 40

The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are

1. 39
2. 39.7
3. 40
4. 40.3

### In a garrison, there was food for 1000 soldiers for one month

In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food?

1. 10 days
2. 25 days
3. 20 days
4. 15 days

### In a class of 45 students, a boy is ranked 20th

In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?

1. 25th
2. 26th
3. 28th
4. 27th

### A student on her first 3 tests receive an average score of N points

A student on her first 3 tests receive an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests?

1. N + 10
2. N + 4
3. N + 5
4. N + 20

### A CAT aspirant appears for a certain number of tests

A CAT aspirant appears for a certain number of tests. His average score increases by 1 if the first 10 tests are not considered, and decreases by 1 if the last 10 tests are not considered. If his average scores for the first 10 and the last 10 tests are 20 and 30, respectively, then the total number of tests taken by him is

### In an apartment complex, the number of people aged 51 years

In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people whose ages are below 51 years. The average age of all the people in the apartment complex is 38 years. What is the largest possible average age, in years, of the people whose ages are below 51 years?

1. 27
2. 28
3. 26
4. 25

### A car owner buys petrol at Rs. 7.50, Rs. 8 and Rs. 8.50 per litre

A car owner buys petrol at Rs. 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

1. Rs. 8.50
2. Rs. 9
3. Rs. 8
4. Rs. 7.98

### A grocer has a sale of Rs.6435, Rs.6927, Rs.6855, Rs.7230 and Rs.6562 for 5 consecutive months

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

1. Rs. 4991
2. Rs. 5991
3. Rs. 6001
4. Rs. 6991

### A library has an average of 510 visitors on Sundays and 240 on other days

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is

1. 250
2. 276
3. 280
4. 285

### A student took five papers in an examination, where the full marks were the same

A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is

1. 2
2. 3
3. 4
4. 5

### The average marks of a student in 10 papers are 80. If the highest

The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.

1. 55
2. 60
3. 62
4. 64

### The average monthly income of P and Q is Rs. 5050. The average monthly income

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is

1. 3500
2. 4000
3. 4050
4. 5000

### The captain of a cricket team of 11 members is 26 years old and the wicket keeper

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

1. 22 years
2. 23 years
3. 24 years
4. 25 years

### In the first 10 overs of a cricket game, the run rate was only 3.2

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

1. 6.25
2. 6.5
3. 6.75
4. 7

### Ten years ago, the ages of the members of a joint family of eight people added up to 231 years

Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to

1. 21 years
2. 22 years
3. 23 years
4. 24 years

### The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

1. Rs. 19
2. Rs. 19.50
3. Rs. 18
4. Rs. 18.50

### The average weight of 10 apples is 0.4 kg

The average weight of 10 apples is 0.4 kg. If the heaviest and lightest apples are taken out, the average is 0.41 kg. If the lightest apple weights 0.2 kg, what is the weight of heaviest apple?

### In a class of 60, along with English as a common subject

In a class of 60, along with English as a common subject, students can opt to major in Mathematics, Physics, Biology or a combination of any two. 6 students major in both Mathematics and Physics, 15 major in both Physics and Biology, but no one majors in both Mathematics and Biology. In an English test, the average mark scored by students majoring in Mathematics is 45 and that of students majoring in Biology is 60. However, the combined average mark in English, of students of these two majors, is 50. What is the maximum possible number of students who major ONLY in Physics?

1. 30
2. 25
3. 20
4. 15
5. None of the above

### The average height of 22 toddlers increases by 2 inches

The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is

1. 30
2. 28
3. 32
4. 26