Find the odd man out of the series 16, 25, 36, 72, 144, 196, 225

Option b: 72. Solution: Let's check the perfect square property for each number in the series: - 16 = 42 - 25 = 52 - 36 = 62 - 144 = 122 - 196 = 142 - 225 = 152 - 72 is not a perfect square ( 82 = 64 and 92 = 81 ). Since 72 is the only number in the series that is not a perfect square, it is the odd man out. Hence, Option B is the correct answer.

Find the odd man out of the series $16, 25, 36, 72, 144, 196, 225$

The correct answer is Option b: $72$. Let's check the perfect square property for each number in the series: - $16 = 4^2$ - $25 = 5^2$ - $36 = 6^2$ - $144 = 12^2$ - $196 = 14^2$ - $225 = 15^2$ - $72$ is not a perfect square ($8^2 = 64$ and $9^2 = 81$). Since $72$ is the only number in the series that is not a perfect square, it is the odd man out. Hence, **Option B** is the correct answer.

Number Series, Coding and DecodingMCQMTP May 18Question 2176 of 217

All Questions

Find the odd man out of the series $\displaystyle 16, 25, 36, 72, 144, 196, 225$

Options

\displaystyle 36

\displaystyle 72

\displaystyle 196

\displaystyle 225

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Correct Answer

✅ Option b — $\displaystyle 72$

All Options:

A $\displaystyle 36$
B $\displaystyle 72$
C $\displaystyle 196$
D $\displaystyle 225$

Detailed Solution & Explanation

Let's check the perfect square property for each number in the series:
-

\displaystyle 16 = 4^2

\displaystyle 25 = 5^2

\displaystyle 36 = 6^2

\displaystyle 144 = 12^2

\displaystyle 196 = 14^2

\displaystyle 225 = 15^2

\displaystyle 72

is not a perfect square (

\displaystyle 8^2 = 64

and

\displaystyle 9^2 = 81

).

Since

\displaystyle 72

is the only number in the series that is not a perfect square, it is the odd man out.

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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Find the odd man out of the series 16,25,36,72,144,196,225\displaystyle 16, 25, 36, 72, 144, 196, 22516,25,36,72,144,196,225