Number Series, Coding, Odd Man OutMTP May 19 Series IIQuestion 2042 of 217
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Find the missing number of the series 48,24,96,48,192,…?\displaystyle 48, 24, 96, 48, 192, \dots ?

Options

A76
B90
C96
D120
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Correct Answer

✅ Option c — 96

All Options:

  • A76
  • B90
  • C96
  • D120

Detailed Solution & Explanation

We are given the series: 48,24,96,48,192,…,?\displaystyle 48, 24, 96, 48, 192, \dots, ?
Let's analyze the operations between consecutive terms:
- 48/2=24\displaystyle 48 / 2 = 24
- 24×4=96\displaystyle 24 \times 4 = 96
- 96/2=48\displaystyle 96 / 2 = 48
- 48×4=192\displaystyle 48 \times 4 = 192
The operations alternate between /2\displaystyle /2 and ×4\displaystyle \times 4. Following this alternating pattern, the next operation must be /2\displaystyle /2:
192/2=96192 / 2 = 96
Alternatively, let's split the series into two alternating sequences:
- **Odd terms:** 48,96,192\displaystyle 48, 96, 192 (doubling each time).
- **Even terms:** 24,48,96\displaystyle 24, 48, 96 (doubling each time).
The missing term is at the 6th position (which is an even position). Thus, its value is 48×2=96\displaystyle 48 \times 2 = 96.
Hence, **Option C** is the correct answer.

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