Find odd one $41, 43, 47, 53, 61, 71, 83, 95$.
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Number Series, Coding and DecodingMCQPYQ Jun 23Question 2170 of 217
All Questions Correct Answer
✅ Option a — 95
All Options:
- A95
- B83
- C71
- D53
Detailed Solution & Explanation
Let's analyze the numbers in the series:
- The numbers $41, 43, 47, 53, 61, 71, 83\displaystyle are all **prime numbers**.<br>- $95 is a **composite number** ($95 = 5 19\displaystyle ).<br><br>Alternatively, let's examine the differences between consecutive terms:<br>- $43 - 41 = 2
- $47 - 43 = 4\displaystyle <br>- $53 - 47 = 6
- $61 - 53 = 8\displaystyle <br>- $71 - 61 = 10
- $83 - 71 = 12+2, +4, +6, +8, +10, +12, +14\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>83</mn><mo>+</mo><mn>14</mn><mo>=</mo><mn>97</mn></mrow><annotation encoding="application/x-tex">83 + 14 = 97</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">83</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">14</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">97</span></span></span></span></span><br>The term $95 violates both the prime number pattern and the difference progression pattern. Therefore, $95$ is the odd man out.
Hence, **Option A** is the correct answer.
- The numbers $41, 43, 47, 53, 61, 71, 83\displaystyle are all **prime numbers**.<br>- $95 is a **composite number** ($95 = 5 19\displaystyle ).<br><br>Alternatively, let's examine the differences between consecutive terms:<br>- $43 - 41 = 2
- $47 - 43 = 4\displaystyle <br>- $53 - 47 = 6
- $61 - 53 = 8\displaystyle <br>- $71 - 61 = 10
- $83 - 71 = 12+2, +4, +6, +8, +10, +12, +14\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>83</mn><mo>+</mo><mn>14</mn><mo>=</mo><mn>97</mn></mrow><annotation encoding="application/x-tex">83 + 14 = 97</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">83</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">14</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">97</span></span></span></span></span><br>The term $95 violates both the prime number pattern and the difference progression pattern. Therefore, $95$ is the odd man out.
Hence, **Option A** 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 SyllabusExam Strategy Tip
This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.
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