Averages : Arithmetic Mean, Median, Mode Quant Notes | EduRev

Quantitative Aptitude for SSC CGL

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Quant : Averages : Arithmetic Mean, Median, Mode Quant Notes | EduRev

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Que 1: The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?

1. Rs. 570

2. Rs. 420

3. Rs. 690

4. Rs. 640

5. Rs. 610

Ans: Choice (2)

Salary of the new manager is 420


Que 2: The average wage of a worker during a fortnight comprising 15 consecutive working days was Rs. 90 per day. During the first 7 days, his average wage was Rs. 87/day and the average wage during the last 7 days was Rs. 92/day. What was his wage on the 8th day?

1. Rs. 83

2. Rs. 92

3. Rs. 90

4. Rs. 97

5. Rs. 96

Ans: Choice (4)

His wage on the 8th day was 97


Que 3: The average of 5 quantities is 6. The average of 3 of those 5 quantities is 8. What is the average of the remaining two quantities?

1. 6.5

2. 4

3. 3

4. 3.5

5. 4.2

Ans: Choice (3)

3 is the average of the remaining two quantities


Que 4: The average temperature on Wednesday, Thursday and Friday was 25°. The average temperature on Thursday, Friday and Saturday was 24°. If the temperature on Saturday was 27°, what was the temperature on Wednesday?

1. 24°

2. 21°

3. 27°

4. 30°

Ans: Choice (4)

The temperature on Wednesday was 30o


Que 5: The average age of a group of 12 students is 20 years. If 4 more students join the group, the average age increases by 1 year. The average age of the new students is ____

1. 24

2. 26

3. 28

4. 22

Ans: Choice (1)

The average age of the new students is 24 years.


Que 6: When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?

1. 57 kg

2. 56.8 kg

3. 58.2 kg

4. 52.2 kg

Ans: Choice (1)

The average weight of the remaining 59 students is 57 kg


Que 7: Three math classes: X, Y, and Z, take an algebra test.

The average score in class X is 83.

The average score in class Y is 76.

The average score in class Z is 85.

The average score of all students in classes X and Y together is 79.

The average score of all students in classes Y and Z together is 81.

What is the average score for all the three classes, taken together?

1. 81

2. 81.5

3. 82

4. 84.5

Concept: Weighted Average

Ans: Choice (2)

The average score for all the three classes taken together is 81.5.


Que 8: The average weight of a class of 24 students is 36 kg. When the weight of the teacher is also included, the average weight increases by 1 kg. What is the weight of the teacher?

1. 60 kg

2. 61 kg

3. 37 kg

4. None of the above

Ans: Choice (2)

The weight of the teacher is 61 kg.


Que 9: The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2?

1. 11

2. 12

3. 11.5

4. 12.5

Ans: Choice (3)

The average of the remaining 2 quantities is 11.5.


Que 10: The average age of a family of 5 members is 20 years. If the age of the youngest member is 10 years, what was the average age of the family just a day before the birth of the youngest member?

1. 13.5

2. 14

3. 15

4. 12.5

5. 10

Ans: Choice (4)

The average age of the family just a day before the birth of the youngest member is 12.5 years.


Que 11: A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the student interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What is the difference between the two digits a and b?

1. 8

2. 6

3. 2

4. 4

5. 18

Concept: Finding digits of a 2-digit number

Ans: Choice (3)

The difference between the digits of the two-digit number is 2.


Que 12: Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. What is the total cost of 24 apples and 24 mangoes?

1. Rs. 1044

2. Rs. 2088

3. Rs. 720

4. Rs. 324

Concept: Linear equations in averages

Ans: Choice (2)

The cost of 24 apples and 24 mangoes is Rs. 2088.


Que 13: Average weight of 25 boys in a class is 48 kg. The average weight of class of 40 students is 45 kg. What is the average weight of the 15 girls in the class?

1. 44 kg

2. 42 kg

3. 40 kg

4. 39 kg

5. 42.5 kg

Concept: Finding average of a subset

Ans: Choice (3)

The average weight of the 15 girls is 40 kg.


Que 14: Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?

1. 9

2. 10

3. 11

4. 12

5. None of the above

Concept: Mean, Mode and Median

Ans: Choice (A)

The sum of the highest and lowest salaries is Rs. 9 lakhs.


Que 15: A class had 9 students. In one test, the class average was 61. One student's paper was scored incorrectly, and the resulting score was raised 18 points. What is the corrected class average?

1. 70

2. 63

3. 72

4. 78

5. 74

Ans: Choice (2)

The corrected average is 63.

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