Complete the series 4, 16, , 256, 1024

Option c: 64. Solution: We are given the series: 4, 16, ..., 256, 1024 Let's express the given terms as powers of the base 4 : - 4 = 41 - 16 = 42 - 256 = 44 - 1024 = 45 The series follows the pattern 4n for consecutive integers n = 1, 2, 3, 4, 5 . Therefore, the missing third term must be 43 : 43 = 64 Hence, Option C is the correct answer.

Complete the series $4, 16, \_\_\_\_\_\_, 256, 1024$

The correct answer is Option c: 64. We are given the series: $4, 16, \dots, 256, 1024$ Let's express the given terms as powers of the base $4$: - $4 = 4^1$ - $16 = 4^2$ - $256 = 4^4$ - $1024 = 4^5$ The series follows the pattern $4^n$ for consecutive integers $n = 1, 2, 3, 4, 5$. Therefore, the missing third term must be $4^3$: $$4^3 = 64$$ Hence, **Option C** is the correct answer.

Number Series, Coding and DecodingMCQPYQ Nov 19Question 2013 of 217

All Questions

Complete the series $\displaystyle 4, 16, \_\_\_\_\_\_, 256, 1024$

Options

A32

B48

C64

D46

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Correct Answer

✅ Option c — 64

All Options:

Detailed Solution & Explanation

We are given the series:

\displaystyle 4, 16, \dots, 256, 1024

Let's express the given terms as powers of the base

\displaystyle 4

:
-

\displaystyle 4 = 4^1

\displaystyle 16 = 4^2

\displaystyle 256 = 4^4

\displaystyle 1024 = 4^5

The series follows the pattern

\displaystyle 4^n

for consecutive integers

\displaystyle n = 1, 2, 3, 4, 5

.
Therefore, the missing third term must be

\displaystyle 4^3

4^3 = 64

Hence, **Option C** 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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Complete the series 4,16,______,256,1024\displaystyle 4, 16, \_\_\_\_\_\_, 256, 10244,16,______,256,1024