Number Series, Coding and DecodingMCQMTP Apr 21Question 2053 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 b31\displaystyle 31

All Options:

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

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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:
- 117=4\displaystyle 11 - 7 = 4
- 1311=2\displaystyle 13 - 11 = 2
- 1713=4\displaystyle 17 - 13 = 4
- 1917=2\displaystyle 19 - 17 = 2
- 2319=4\displaystyle 23 - 19 = 4
- 2523=2\displaystyle 25 - 23 = 2
- 2925=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.

About This Chapter: Number Series, Coding and Decoding

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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