Number Series, Coding and DecodingMCQMTP Dec 2023 Series IIQuestion 2143 of 217
All Questions

Find the missing term 5760, 960, ?, 48, 16, 8

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option c — 192

All Options:

  • A120
  • B160
  • C192
  • D240

Detailed Solution & Explanation

Let's identify the relationship between consecutive terms in the series by working from left to right:
- First term to second term: $5760 ÷\displaystyle \div 6 = 960÷\displaystyle \div 5 …" style="color:#cc0000">\displaystyle <br>- Second term to third term: &#36;960 ÷\displaystyle \div 5 = 192

- Third term to fourth term: $192 ÷\displaystyle \div 4 = 48÷\displaystyle \div 3 =…" style="color:#cc0000">\displaystyle <br>- Fourth term to fifth term: &#36;48 ÷\displaystyle \div 3 = 16
- Fifth term to sixth term: $16 ÷\displaystyle \div 2 = 8\displaystyle <br><br>We can see a clear pattern of dividing each term by a decreasing integer sequence (&#36;6, 5, 4, 3, 2) to obtain the next term.

Thus, the missing term is:
960÷5=192960 ÷\displaystyle \div 5 = 192

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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