Quantitative Aptitude | Questions
Averages questions with solutions
Averages is a Quantitative Aptitude topic for competitive exams. It appears across bank and railway exams. This page has 8 solved averages questions written to the official pattern, with a worked solution under each.
- Question 1Easy
The average of five consecutive whole numbers is 20. What is the largest of the five numbers?
- A.22Correct
- B.21
- C.24
- D.20
Show solution
For consecutive numbers the average is the middle number, so the middle one is 20 and the numbers are 18, 19, 20, 21, 22. The largest is 20 + 2 = 22.
- Question 2Easy
The average age of 5 members of a club is 30 years. A new member aged 42 years joins. What is the new average age?
- A.30
- B.31
- C.32Correct
- D.33
- E.34
Show solution
The five members total 5 x 30 = 150 years. Adding the new member gives 150 + 42 = 192 across 6 people, so the average is 192 / 6 = 32. Working with the total rather than the average makes the join a single addition.
- Question 3Easy
The average of five numbers is 27. When one number is removed, the average of the remaining four becomes 25. What is the number that was removed?
- A.30
- B.32
- C.35Correct
- D.37
- E.40
Show solution
The total of the five numbers is 5 x 27 = 135. The total of the remaining four is 4 x 25 = 100. The removed number is 135 - 100 = 35. Thinking in totals rather than averages makes this a two-step subtraction, which is the general approach for every add-or-remove average question.
- Question 4Easy
The average of 12, 18 and 24 is:
- A.18Correct
- B.16
- C.20
- D.15
- E.22
Show solution
The average is the sum divided by the count: (12 + 18 + 24) / 3 = 54 / 3 = 18.
- Question 5Easy
The average of five numbers is 46. When a sixth number is included, the average becomes 49. What is the sixth number?
- A.56
- B.60
- C.62
- D.64Correct
- E.68
Show solution
Convert both averages to totals. The five numbers sum to 46 x 5 = 230, and the six numbers sum to 49 x 6 = 294, so the new number is 294 - 230 = 64. There is a faster route worth knowing: the new number must cover its own share of the new average, 49, plus the 3 by which each of the five earlier numbers was lifted, giving 49 + 5 x 3 = 64. Answering 49 or 55 means confusing the new number with the new average or with the rise in the total.
- Question 6Easy
What is the average of the first ten natural numbers (1 to 10)?
- A.5
- B.5.5Correct
- C.6
- D.6.5
Show solution
The average of the first n natural numbers is (n + 1)/2. For n = 10 that is 11/2 = 5.5. Equivalently, the sum 55 divided by 10 is 5.5.
- Question 7Easy
The average of 10, 20, 30, 40 and 50 is:
- A.30Correct
- B.25
- C.35
- D.28
- E.32
Show solution
Add the numbers to get 150 and divide by 5 to get the average, which is 30.
- Question 8Moderate
The average of five consecutive even numbers is 30. What is the largest of these numbers?
- A.34Correct
- B.36
- C.32
- D.38
- E.30
Show solution
Five consecutive even numbers are symmetric about their average, so they are 26, 28, 30, 32, 34. The largest is the average plus 4, that is 30 + 4 = 34.
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Frequently asked questions
How many Averages questions are here?
This page shows 8 worked averages questions from a bank of 8, spanning 7 easy, 1 moderate and 0 hard. The full set is available to attempt in the timed-free practice drills and the mock tests.
Which exams ask Averages questions?
Averages is a standard Quantitative Aptitude topic across bank and railway recruitment exams.
Are these Averages questions free, and are the answers reliable?
Yes. Every question is free, written in-house to the exam pattern rather than copied from a real paper, and the numeric answer keys are recomputed independently at build time — a wrong key fails the build rather than reaching you.