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General Aptitude

Averages

Master averages via missing-value, weighted-average, and group-average aptitude question patterns.

About Averages

Averages are a simple yet powerful concept in aptitude tests. The average (or arithmetic mean) of a set of numbers is their sum divided by the count. The formula Average = Sum ÷ Count and its reverse Sum = Average × Count are the two tools you need for most problems. Common question types include: finding a missing value when the average and other values are known, calculating new averages when values are added or removed, and weighted averages. Averages frequently appear combined with other topics like age problems, cricket scores, and temperature readings. Below are solved average questions with clear explanations.

Key Takeaways

  • Sum = Average × Count — this is the most useful formula for average problems.
  • When values are added/removed: update the sum first, then recalculate average.
  • Weighted average = (w1×v1 + w2×v2) / (w1 + w2) for different weights.

Frequently Asked Questions

What is the formula for average?

Average = Sum of all values ÷ Number of values. The reverse is equally useful: Sum = Average × Number of values.

How do I find a missing value when average is known?

Missing value = (Average × Total count) - Sum of known values. This single formula solves most average-based problems.

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20 questions ~6 minutes Randomized each time Explanations included

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Q1. Average of 5 numbers is 53. After adding 113, what is the new average?

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Q2. Average of 5 numbers is 44. 4 numbers are 47, 60, 51, 31. Find the missing number.

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Q3. Average of 7 numbers is 39. After adding 95, what is the new average?

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Q4. Average of 5 numbers is 55. 4 numbers are 79, 51, 25, 43. Find the missing number.

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Q5. Average of 6 numbers is 65. After adding 100, what is the new average?

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Q6. Average of 5 numbers is 53. 4 numbers are 88, 27, 72, 44. Find the missing number.

Q7

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Q7. Average of 7 numbers is 46. After adding 86, what is the new average?

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Q8. Class A has 38 students with average marks 68. Class B has 38 students with average 70. Find combined average.

Q9

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Q9. Average of 8 numbers is 65. After adding 74, what is the new average?

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Q10. Class A has 50 students with average marks 72. Class B has 50 students with average 46. Find combined average.

Q11

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Q11. Average of 8 numbers is 67. After adding 40, what is the new average?

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Q12. Average of 5 numbers is 41. 4 numbers are 52, 91, 73, 89. Find the missing number.

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Q13. Average of 7 numbers is 49. After adding 17, what is the new average?

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Q14. Average of 6 numbers is 42. 5 numbers are 68, 84, 57, 47, 26. Find the missing number.

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Q15. Average of 7 numbers is 67. After adding 51, what is the new average?

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Q16. Average of 5 numbers is 63. 4 numbers are 94, 36, 26, 20. Find the missing number.

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Q17. Class A has 42 students with average marks 66. Class B has 42 students with average 52. Find combined average.

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Q18. Average of 7 numbers is 62. 6 numbers are 66, 66, 20, 37, 57, 48. Find the missing number.

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Q19. Average of 6 numbers is 54. 5 numbers are 55, 49, 39, 51, 57. Find the missing number.

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Q20. Average of 8 numbers is 61. 7 numbers are 29, 37, 87, 29, 61, 79, 49. Find the missing number.

Averages Formula, shortcuts & preparation guide

Master averages with regular practice. Key topics include percentage calculations, profit/loss, ratio, and time-work problems. Use shortcut methods for quick calculations and practice 15-20 questions daily to build speed and accuracy. This topic frequently appears in placement aptitude rounds.

Key formulas

  • Regular practice improves accuracy

Averages Practice Questions with Answers

Build speed and accuracy with curated averages practice. Each quiz includes solved explanations, timed mode, and instant correctness feedback.

How to prepare effectively for this topic?

Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.

Are these questions useful for placements and competitive exams?

Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.

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