Find the odd one out: $1, 5, 14, 30, 49, 55, 91$.
Select Your Answer (Keyboard: A, B, C, D)
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Number Series, Coding and DecodingMCQPYQ Nov. 19Question 2165 of 217
All Questions Correct Answer
✅ Option a — 49
All Options:
- A49
- B30
- C55
- D91
Detailed Solution & Explanation
Let's analyze the difference between consecutive terms in the series:
-
- $14 - 5 = 9 = 3^2\displaystyle <br>- $30 - 14 = 16 = 4^2
- Following the pattern of adding consecutive squares ():
- The next term should be $30 + 5^2 = 30 + 25 = 55\displaystyle .<br> - The term after that should be $55 + 6^2 = 55 + 36 = 91.
The correct series consists of the square pyramidal numbers $1, 5, 14, 30, 55, 91$. The number $49$ does not belong in this series and is the odd man out.
Hence, **Option A** is the correct answer.
-
- $14 - 5 = 9 = 3^2\displaystyle <br>- $30 - 14 = 16 = 4^2
- Following the pattern of adding consecutive squares ():
- The next term should be $30 + 5^2 = 30 + 25 = 55\displaystyle .<br> - The term after that should be $55 + 6^2 = 55 + 36 = 91.
The correct series consists of the square pyramidal numbers $1, 5, 14, 30, 55, 91$. The number $49$ does not belong in this series and 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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