Number Series, Coding, Odd Man OutPYQ 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 a — 144

All Options:

  • A144
  • B121
  • C49
  • D120

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.

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