Number Series, Coding, Odd Man OutMTP Nov 20Question 2049 of 217
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Find 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\displaystyle 30
B31\displaystyle 31
C32\displaystyle 32
D33\displaystyle 33
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Correct Answer

✅ Option b — 31\displaystyle 31

All Options:

  • A30\displaystyle 30
  • B31\displaystyle 31
  • C32\displaystyle 32
  • D33\displaystyle 33

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 compute the difference between consecutive terms:
- 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
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:
29+2=3129 + 2 = 31
Hence, **Option B** is the correct answer.

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