Number Series, Coding and DecodingMCQMTP May 19 Series IIQuestion 2179 of 217
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Find odd one out of the series $7, 9, 11, 12, 14, 15$

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

✅ Option d — 7\displaystyle 7

All Options:

  • A$15$
  • B$14$
  • C9\displaystyle 9
  • D7\displaystyle 7

Detailed Solution & Explanation

Let's analyze the differences between consecutive terms in the series: $7, 9, 11, 12, 14, 15.<br>Ifwestarttheseriesat\displaystyle .<br>If we start the series at8insteadof\displaystyle instead of7$, the differences become alternatingly $+1and\displaystyle and+2:<br>−\displaystyle :<br>-9 - 8 = +1\displaystyle <br>- &#36;11 - 9 = +2
- $12 - 11 = +1\displaystyle <br>- &#36;14 - 12 = +2
- $15 - 14 = +1<br><br>Thisalternatingpatternofdifferences(\displaystyle <br><br>This alternating pattern of differences (+1, +2, +1, +2, +1$) is perfectly consistent and establishes $7$ as the odd term (which should be $8$).

Hence, **Option D** 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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