50 + Average Questions and Answers | Quantitative Aptitude

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Average Questions and Answers

Average questions, also known as mean questions, are a fundamental component of competitive exams, especially those emphasizing quantitative aptitude and basic mathematics. These questions gauge a candidate’s proficiency in comprehending the concept of average, assessing their ability to calculate it accurately and apply it across diverse scenarios. In this article, we give students 50 + Average Questions and Answers for preparing the Quantitative Aptitude section of the competitive exams.

What are Average Questions?

Average questions encompass a range of mathematical problems centered on calculating and interpreting averages. Candidates encounter these questions in various formats, each testing a specific aspect of their understanding. The types of average questions include basic average calculations, weighted averages, applications of average in real-world scenarios, and more advanced concepts involving grouped data and problem-solving.

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50 + Average Questions and Answers

  1. What is the average of 12, 18, and 24?

a. 15

b. 18

c. 20

d. 22
Answer: b. 18

  1. If the average of five numbers is 40, and three of the numbers are 30, 40, and 50, what are the remaining two numbers?

a. 45, 55

b. 50, 60

c. 35, 45

d. 40, 50
Answer: a. 45, 55

  1. The average age of a family of four is 30 years. If the father is 40 years old, what is the average age of the remaining three family members?

a. 25

b. 30

c. 35

d. 40
Answer: a. 25

  1. A student scores 60, 70, 80, and 90 on four exams. What is the average score?

a. 75

b. 80

c. 85

d. 90
Answer: a. 75

  1. The average weight of three friends is 70 kg. If two friends weigh 60 kg and 80 kg, what is the weight of the third friend?

a. 60 kg

b. 70 kg

c. 80 kg

d. 90 kg
Answer: d. 90 kg

  1. If the average of six numbers is 25, and five of the numbers are 20, 25, 30, 35, and 40, what is the sixth number?

a. 40

b. 45

c. 50

d. 55
Answer: c. 50

  1. The average salary of five employees is Rs. 50,000. If the salary of one employee is Rs. 60,000, what is the average salary of the remaining four employees?

a. Rs. 45,000

b. Rs. 47,500

c. Rs. 50,000

d. Rs. 52,500
Answer: b. Rs. 47,500

  1. If the average of seven numbers is 50, and four of the numbers are 40, 50, 60, and 70, what is the average of the remaining three numbers?

a. 45

b. 50

c. 55

d. 60
Answer: c. 55

  1. The average of three consecutive numbers is 15. What are the numbers?

a. 13, 14, 15

b. 14, 15, 16

c. 15, 16, 17

d. 16, 17, 18
Answer: b. 14, 15, 16

  1. If the average of two numbers is 25, and one number is 30, what is the other number?

a. 20

b. 25

c. 30

d. 35
Answer: a. 20

  1. The average of six numbers is 40. If one number is 30, what is the average of the remaining five numbers?

a. 35

b. 40

c. 45

d. 50
Answer: c. 45

  1. The average speed of a car for the first 200 km is 60 km/h, and for the next 300 km is 75 km/h. What is the overall average speed?

a. 65 km/h

b. 70 km/h

c. 72.5 km/h

d. 75 km/h
Answer: c. 72.5 km/h

  1. If the average age of a group of friends is 25 years and two friends, aged 30 and 35, join the group, what is the new average age?

a. 27

b. 28

c. 29

d. 30
Answer: b. 28

  1. The average of a set of five numbers is 12. If one number is 8, what is the average of the remaining four numbers?

a. 11

b. 12

c. 13

d. 14
Answer: c. 13

  1. A teacher’s average score in five tests is 80. If the teacher scored 90 in the first four tests, what is the score in the fifth test?

a. 70

b. 75

c. 80

d. 85
Answer: a. 70

  1. The average temperature for three days is 30°C. If the temperatures on the first two days are 25°C and 35°C, what is the temperature on the third day?

a. 25°C

b. 30°C

c. 35°C

d. 40°C
Answer: b. 30°C

  1. If the average of four numbers is 50, and three of the numbers are 40, 60, and 80, what is the fourth number?

a. 40

b. 50

c. 60

d. 70
Answer: a. 40

  1. The average height of five students is 160 cm. If four students have heights of 150 cm, 160 cm, 170 cm, and 180 cm, what is the height of the fifth student?

a. 160 cm

b. 165 cm

c. 170 cm

d. 175 cm
Answer: b. 165 cm

  1. The average of six numbers is 50. If two numbers are 40 and 60, what is the average of the remaining four numbers?

a. 45

b. 50

c. 55

d. 60
Answer: a. 45

  1. A cricket player has scores of 30, 40, 50, and 60 in four innings. What is the average score?

a. 40

b. 45

c. 50

d. 55
Answer: b. 45

  1. The average age of a group of people is 30 years. If a new member, aged 40, joins the group, what is the new average age?

a. 32

b. 33

c. 34

d. 35
Answer: b. 33

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Advance Level Average Questions and Answers

1. What is the value of 5² – 3³ + 8 ÷ 2? 

a) 0 

b) 2 

c) 10 

d) 12 

Answer: a) 0

2. If the perimeter of a rectangle is 30 cm and its length is 8 cm, what is its width? 

a) 4 cm 

b) 7 cm 

c) 5 cm 

d) 6 cm 

Answer: a) 4 cm

3. If a car travels at a speed of 60 km/h, how far will it travel in 3 hours? 

a) 120 km 

b) 180 km 

c) 200 km 

d) 160 km 

Answer: b) 180 km

4. What is the average of the first 20 natural numbers? 

a) 10 

b) 11 

c) 12 

d) 15.5 

Answer: a) 10

5. If x = 4 and y = 2, what is the value of x² + y²? 

a) 16 

b) 20 

c) 18 

d) 12 

Answer: a) 16

6. If a shirt is discounted by 25% from its original price of $40, what is the discounted price? 

a) $30 

b) $32 

c) $35 

d) $38 

Answer: b) $32

7. What is the product of the first 5 prime numbers?

 a) 210 

b) 240 

c) 300 

d) 330 

Answer: a) 210

8. If 3x – 5 = 16, what is the value of x? 

a) 7 

b) 6 

c) 8 

d) 9 

Answer: a) 7

9. The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there? 

a) 12 

b) 15 

c) 18 

d) 21 

Answer: a) 12

10. If the sum of three consecutive integers is 72, what are the integers? 

a) 23, 24, 25 

b) 22, 23, 24 

c) 20, 21, 22 

d) 25, 26, 27 

Answer: b) 22, 23, 24

11. What is the area of a triangle with base 10 cm and height 8 cm? 

a) 40 cm² 

b) 45 cm² 

c) 50 cm² 

d) 55 cm² 

Answer: a) 40 cm²

12. If a circle has a radius of 6 cm, what is its circumference? 

a) 12π cm 

b) 18π cm 

c) 24π cm 

d) 36π cm 

Answer: b) 18π cm

13. If 20% of a number is Rs. 50, what is the number? 

a) Rs. 200 

b) Rs. 250 

c) Rs. 300 

d) Rs. 150 

Answer: a) Rs. 200

14. A shopkeeper gives a discount of 15% on a shirt priced at Rs. 800. What is the discounted price? 

a) Rs. 680 

b) Rs. 720 

c) Rs. 680 

d) Rs. 740 

Answer: b) Rs. 680

15. If the cost of 5 pens is Rs. 75, what is the cost of each pen? 

a) Rs. 10 

b) Rs. 12 

c) Rs. 15 

d) Rs. 8 

Answer: c) Rs. 15

16. The profit earned on selling a book for Rs. 450 is Rs. 90. What is the cost price of the book? 

a) Rs. 360 

b) Rs. 400 

c) Rs. 350 

d) Rs. 410 

Answer: a) Rs. 360

17. If 2 kg of rice costs Rs. 40, what is the cost of 5 kg of rice? 

a) Rs. 80 

b) Rs. 100 

c) Rs. 120 

d) Rs. 90 

Answer: b) Rs. 100

18. The sum of three consecutive even numbers is Rs. 234. What are the numbers? 

a) Rs. 76, Rs. 78, Rs. 80 

b) Rs. 72, Rs. 74, Rs. 76 

c) Rs. 80, Rs. 82, Rs. 84 

d) Rs. 68, Rs. 70, Rs. 72 

Answer: b) Rs. 72, Rs. 74, Rs. 76

19. If the simple interest on a sum of Rs. 5000 for 2 years is Rs. 800, what is the rate of interest? 

a) 8% 

b) 10% 

c) 12% 

d) 15% 

Answer: a) 8%

20. The area of a square is 121 sq. cm. What is the length of each side? 

a) 10 cm 

b) 11 cm 

c) 12 cm 

d) 13 cm 

Answer: b) 11 cm

21. If the selling price of an article is Rs. 450 and the profit percentage is 20%, what is the cost price? 

a) Rs. 360 

b) Rs. 375 

c) Rs. 400 

d) Rs. 420 

Answer: c) Rs. 400

22. The difference between two numbers is Rs. 1200. If one number is Rs. 3000, what is the other number? 

a) Rs. 1800 

b) Rs. 2200 

c) Rs. 2400 

d) Rs. 2600 

Answer: c) Rs. 2400

23. A sum of money doubles in 5 years at a certain rate of interest. What is the rate of interest? 

a) 10% 

b) 12% 

c) 14% 

d) 15% 

Answer: b) 12%

24. If the perimeter of a rectangle is 40 cm and its length is 12 cm, what is its width? 

a) 8 cm 

b) 10 cm 

c) 16 cm 

d) 14 cm 

Answer: a) 8 cm

25. The average of five numbers is Rs. 48. If four of the numbers are Rs. 40, Rs. 50, Rs. 60, and Rs. 70, what is the fifth number? 

a) Rs. 48 

b) Rs. 52 

c) Rs. 54 

d) Rs. 58 

Answer: b) Rs. 52

26. If the radius of a circle is 7 cm, what is its area? 

a) 154 cm²

b) 176 cm² 

c) 198 cm² 

d) 154π cm² 

Answer: d) 154π cm²

27. The sum of the angles in a quadrilateral is 360 degrees. If three angles are 90°, 85°, and 95°, what is the measure of the fourth angle? 

a) 80° 

b) 90° 

c) 100° 

d) 110° 

Answer: a) 80°

28. If the ratio of the side lengths of two similar triangles is 2:3 and the area of the larger triangle is 72 cm², what is the area of the smaller triangle? 

a) 32 cm²

b) 48 cm² 

c) 18 cm² 

d) 24 cm² 

Answer: a) 32 cm²

29. If the sum of the interior angles of a polygon is 540 degrees, how many sides does the polygon have? 

a) 5 

b) 6 

c) 7 

d) 8 

Answer: b) 6

30. If the cost of 8 books is Rs. 320, what is the cost of 12 books? 

a) Rs. 420 

b) Rs. 480 

c) Rs. 360 

d) Rs. 520 

Answer: b) Rs. 480

Tips to Solve Average Questions

  1. Ensure a clear understanding of the average formula: sum of values divided by the number of values.
  2. Regularly practice calculating averages for sets of numbers to strengthen foundational skills.
  3. Familiarize yourself with calculating averages when weights or factors are assigned to different numbers.
  4. Practice applying average concepts to practical scenarios, such as scores, speeds, and ages.

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FAQs

What is the basic formula for calculating average?

The average is calculated by dividing the sum of values the number of values.

How does one calculate a weighted average?

In a weighted average, multiply each number by its weight, sum these products, and divide by the total weight.

Why is practicing average questions important for competitive exams?

Mastering average questions is crucial as they assess foundational math skills, appear frequently in exams, and demand time-efficient and accurate calculations.

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