Five consecutive even numbers — Averages Aptitude Question
Five consecutive even numbers: The average of five consecutive even numbers is 24. What is the largest of them? Answer and worked solution on CodeKairo.
- Topic: Averages
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 40 seconds
Question
The average of five consecutive even numbers is 24. What is the largest of them?
Options
- 26
- 28
- 30
- 32
Show the answer and the worked solution
Correct answer: B. 28
Worked solution
- For evenly spaced numbers the average is the middle term, so the middle one is 24.
- The five numbers are 20, 22, 24, 26, 28; the largest is 28.
Answer: 28.
The idea
Evenly spaced sets have average = middle term = (first + last)/2. The largest is the middle term plus (count − 1)/2 steps.
Shortcut. Five evenly spaced evens sit at −4, −2, 0, +2, +4 around the mean, so the largest is 24 + 4 = 28.
Common trap. 26 — the answer for five consecutive integers (22 to 26); even numbers are 2 apart, so the top is two steps of 2 above 24.