Number Series, Coding and DecodingMCQMTP Oct 21Question 2056 of 217
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Find next term of the series $3, 10, 29, 66, 127, ?$

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

✅ Option d — $218$

All Options:

  • A$164$
  • B$187$
  • C$216$
  • D$218$

Detailed Solution & Explanation

We are given the series: $3, 10, 29, 66, 127, \dots<br>Let′sexpresseachterminrelationtoperfectcubes:<br>−\displaystyle <br>Let's express each term in relation to perfect cubes:<br>-3 = 1^3 + 2\displaystyle <br>- &#36;10 = 2^3 + 2
- $29 = 3^3 + 2\displaystyle <br>- &#36;66 = 4^3 + 2
- $127 = 5^3 + 2<br>Theseriesisoftheform\displaystyle <br>The series is of the formn^3 + 2$ for consecutive natural numbers $n.<br>Thenexttermmustbe\displaystyle .<br>The next term must be6^3 + 2$:
63+2=216+2=2186^3 + 2 = 216 + 2 = 218
Hence, **Option D** 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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