Number Series, Coding and DecodingMCQMTP June 22Question 2190 of 217
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Find wrong number of the series $1, 5, 9, 7, 11, 15, 12, 17$

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — $12$

All Options:

  • A$11$
  • B$12$
  • C$17$
  • D$15$

Detailed Solution & Explanation

Let's analyze the structure of the series: $1, 5, 9, 7, 11, 15, 12, 17.<br>Theseriesconsistsofgroupsofthreenumberswhereeachgroupstartsatanoddnumberandhasastepdifferenceof\displaystyle .<br>The series consists of groups of three numbers where each group starts at an odd number and has a step difference of+4\displaystyle :<br>- **Group 1**: &#36;1, 5, 9 (starts at 1\displaystyle 1, common difference +4\displaystyle +4)
- **Group 2**: $7, 11, 15(startsat\displaystyle (starts at7$, common difference $+4\displaystyle )<br>- **Group 3**: &#36;13, 17, 21 (starts at $13$, common difference $+4\displaystyle )<br><br>If we write the full merged series, we get: &#36;1, 5, 9, 7, 11, 15, 13\displaystyle \mathbf{13}, 17, 21.
Comparing this to the given series, the term $12$ is incorrect and should be $13$. Therefore, $12$ is the wrong term.

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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