Number Series, Coding, Odd Man OutMTP Dec 2023 Series IQuestion 2046 of 217
All Questions

Find the missing term 9,27,31,155,161,1127,?\displaystyle 9, 27, 31, 155, 161, 1127, ?

Options

A316\displaystyle 316
B1135\displaystyle 1135
C1288\displaystyle 1288
D2254\displaystyle 2254
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Correct Answer

✅ Option b — 1135\displaystyle 1135

All Options:

  • A316\displaystyle 316
  • B1135\displaystyle 1135
  • C1288\displaystyle 1288
  • D2254\displaystyle 2254

Detailed Solution & Explanation

We are given the series: 9,27,31,155,161,1127,?\displaystyle 9, 27, 31, 155, 161, 1127, ?
Let's analyze the mathematical operations between consecutive terms:
- 9×3=27\displaystyle 9 \times 3 = 27
- 27+4=31\displaystyle 27 + 4 = 31
- 31×5=155\displaystyle 31 \times 5 = 155
- 155+6=161\displaystyle 155 + 6 = 161
- 161×7=1127\displaystyle 161 \times 7 = 1127
We observe that the operations alternate between multiplication and addition, using consecutive natural numbers starting from 3\displaystyle 3 (×3,+4,×5,+6,×7\displaystyle \times 3, +4, \times 5, +6, \times 7).
Following this pattern, the next operation must be +8\displaystyle +8.
Therefore, the next term is:
1127+8=11351127 + 8 = 1135
Hence, **Option B** is the correct answer.

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