48, 24, 96, 48, 192, ? — Aptitude Question
48, 24, 96, 48, 192, ?: Find the next term: 48, 24, 96, 48, 192, ? Answer and worked solution on CodeKairo.
- Topic: Number & Letter Series
- Section: Logical Reasoning
- Difficulty: Medium
- Time target: 60 seconds
Question
Find the next term:
48, 24, 96, 48, 192, ?
Options
- 96
- 144
- 384
- 768
Show the answer and the worked solution
Correct answer: A. 96
Worked solution
- 48 ÷ 2 = 24; 24 × 4 = 96; 96 ÷ 2 = 48; 48 × 4 = 192.
- Next = 192 ÷ 2 = 96.
Answer: 96.
The idea
Repeating values in a series are a strong hint of alternating operations. Confirm each step before extending.
Shortcut. The even-position terms 24, 48, ? double each time, so the sixth term is 96 — no need to track the ÷ 2, × 4 alternation.
Common trap. 384 — continuing the odd-position run 48, 96, 192 by doubling 192; the blank sits in an even position, where the run is 24, 48, 96.