Number Series, Coding and DecodingMCQMTP Oct. 21Question 2189 of 217
All Questions

Find out the wrong number $10, 14, 28, 32, 64, 68, 132$

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

✅ Option d — $132$

All Options:

  • A$28$
  • B$32$
  • C$64$
  • D$132$

Detailed Solution & Explanation

Let's analyze the sequence of operations between consecutive terms:
- $10 \xrightarrow{+4} 14\displaystyle <br>- &#36;14 \xrightarrow{×\displaystyle \times 2} 28
- $28 \xrightarrow{+4} 32\displaystyle <br>- &#36;32 \xrightarrow{×\displaystyle \times 2} 64
- $64 \xrightarrow{+4} 68<br>−Followingthealternatingpatternof\displaystyle <br>- Following the alternating pattern of+4, ×\displaystyle \times 2, +4, ×\displaystyle \times 2, +4, ×\displaystyle \times 2\displaystyle , the next term should be:<br><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mn>68</mn><mo>×</mo><mn>2</mn><mo>=</mo><mn>136</mn></mrow><annotation encoding="application/x-tex">68 ×\displaystyle \times 2 = 136</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7278em;vertical-align:-0.0833em;"></span><span class="mord">68</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">×</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">2</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">136</span></span></span></span></span><br>The series lists &#36;132 instead of $136$. Therefore, $132$ is the wrong term in the series.

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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