Number Series, Coding, Odd Man OutPYQ June 22Question 2025 of 217
All Questions

4,6,9,13.5,______,30.375\displaystyle 4, 6, 9, 13.5, \_\_\_\_\_\_, 30.375

Options

A40.50
B20.25
C40.75
D60.25
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Correct Answer

✅ Option b — 20.25

All Options:

  • A40.50
  • B20.25
  • C40.75
  • D60.25

Detailed Solution & Explanation

We are given the series: 4,6,9,13.5,…,30.375\displaystyle 4, 6, 9, 13.5, \dots, 30.375
Let's check the ratio between consecutive terms:
- 64=1.5\displaystyle \frac{6}{4} = 1.5
- 96=1.5\displaystyle \frac{9}{6} = 1.5
- 13.59=1.5\displaystyle \frac{13.5}{9} = 1.5
The series is a Geometric Progression with a common ratio of r=1.5\displaystyle r = 1.5.
The next term is:
13.5×1.5=20.2513.5 \times 1.5 = 20.25
Let's verify the next term in the sequence:
20.25×1.5=30.37520.25 \times 1.5 = 30.375
This matches the final term perfectly.
Hence, **Option B** is the correct answer.

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