Number Series, Coding, Odd Man OutPYQ Nov 18Question 2010 of 217
All Questions

Find out the next number in the following series 7,11,13,17,19,23,25,29\displaystyle 7, 11, 13, 17, 19, 23, 25, 29?

Options

A30
B31
C32
D33
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Correct Answer

✅ Option b — 31

All Options:

  • A30
  • B31
  • C32
  • D33

Detailed Solution & Explanation

We are given the series: 7,11,13,17,19,23,25,29,…\displaystyle 7, 11, 13, 17, 19, 23, 25, 29, \dots
Let's find the difference between consecutive terms in the series:
- 11−7=4\displaystyle 11 - 7 = 4
- 13−11=2\displaystyle 13 - 11 = 2
- 17−13=4\displaystyle 17 - 13 = 4
- 19−17=2\displaystyle 19 - 17 = 2
- 23−19=4\displaystyle 23 - 19 = 4
- 25−23=2\displaystyle 25 - 23 = 2
- 29−25=4\displaystyle 29 - 25 = 4
We observe that the differences alternate between +4\displaystyle +4 and +2\displaystyle +2.
Following this alternating pattern, the next difference must be +2\displaystyle +2.
Therefore, the next term is calculated as:
29+2=3129 + 2 = 31
Hence, **Option B** is the correct answer.

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