Number Series, Coding and DecodingMCQPYQ Nov 19Question 2012 of 217
All Questions

Complete the series 4,16,36,64,100,______\displaystyle 4, 16, 36, 64, 100, \_\_\_\_\_\_?

Options

A144
B121
C49
D120
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Correct Answer

Option a144

All Options:

  • A144
  • B121
  • C49
  • D120

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Detailed Solution & Explanation

We are given the series: 4,16,36,64,100,\displaystyle 4, 16, 36, 64, 100, \dots
Let's express each term as a perfect square:
- 4=22\displaystyle 4 = 2^2
- 16=42\displaystyle 16 = 4^2
- 36=62\displaystyle 36 = 6^2
- 64=82\displaystyle 64 = 8^2
- 100=102\displaystyle 100 = 10^2
We observe that the series consists of the squares of consecutive even numbers (2,4,6,8,10,\displaystyle 2, 4, 6, 8, 10, \dots).
The next even number in the sequence is 12\displaystyle 12.
Therefore, the next term is:
122=14412^2 = 144
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 Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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