100, 50, 52, 26, 28, ? — Aptitude Question
100, 50, 52, 26, 28, ?: Find the next term: 100, 50, 52, 26, 28, ? Answer and worked solution on CodeKairo.
- Topic: Number & Letter Series
- Section: Logical Reasoning
- Difficulty: Medium
- Time target: 60 seconds
Question
Find the next term:
100, 50, 52, 26, 28, ?
Options
- 12
- 14
- 16
- 30
Show the answer and the worked solution
Correct answer: B. 14
Worked solution
- 100 ÷ 2 = 50; 50 + 2 = 52; 52 ÷ 2 = 26; 26 + 2 = 28.
- Next = 28 ÷ 2 = 14.
Answer: 14.
The idea
Track which operation comes next by counting the steps taken. Here the sixth term follows an addition, so it must be a division.
Shortcut. Every even-position term is half the one before it (50 = 100 ÷ 2, 26 = 52 ÷ 2), and the blank is sixth, so it is 28 ÷ 2 = 14.
Common trap. 30 — adding 2 again (28 + 2); the + 2 was just used to reach 28, so the halving is due.