Number Series, Coding, Odd Man OutPYQ Dec 21Question 2023 of 217
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The missing term of the series 4,13,______,49,76\displaystyle 4, 13, \_\_\_\_\_\_, 49, 76 is

Options

A26
B28
C30
D32
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Correct Answer

✅ Option b — 28

All Options:

  • A26
  • B28
  • C30
  • D32

Detailed Solution & Explanation

We are given the series: 4,13,…,49,76\displaystyle 4, 13, \dots, 49, 76
Let's find the difference between consecutive terms:
- 13−4=9\displaystyle 13 - 4 = 9
Let the sequence of differences be an arithmetic progression with a common difference of +6\displaystyle +6: 9,15,21,27\displaystyle 9, 15, 21, 27.
Let's test this pattern:
- 4+9=13\displaystyle 4 + 9 = 13
- 13+15=28\displaystyle 13 + 15 = 28
- 28+21=49\displaystyle 28 + 21 = 49
- 49+27=76\displaystyle 49 + 27 = 76
This matches all given terms perfectly! The missing term is:
13+15=2813 + 15 = 28
Hence, **Option B** is the correct answer.

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