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

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

Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — 64

All Options:

  • A32
  • B48
  • C64
  • D46

Detailed Solution & Explanation

We are given the series: $4, 16, \dots, 256, 1024<br>Let′sexpressthegiventermsaspowersofthebase\displaystyle <br>Let's express the given terms as powers of the base4:<br>−\displaystyle :<br>-4 = 4^1\displaystyle <br>- &#36;16 = 4^2
- $256 = 4^4\displaystyle <br>- &#36;1024 = 4^5
The series follows the pattern 4n\displaystyle 4^n for consecutive integers n=1,2,3,4,5\displaystyle n = 1, 2, 3, 4, 5.
Therefore, the missing third term must be 43\displaystyle 4^3:
43=644^3 = 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.

Related Comparison Tables

More Questions from Number Series, Coding and Decoding

Ready to Master Number Series, Coding and Decoding?

Practice all 217 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free