Find next term of the series 3, 10, 29, 66, 127, ?

Option d: 218. Solution: We are given the series: 3, 10, 29, 66, 127, ... Let's express each term in relation to perfect cubes: - 3 = 13 + 2 - 10 = 23 + 2 - 29 = 33 + 2 - 66 = 43 + 2 - 127 = 53 + 2 The series is of the form n3 + 2 for consecutive natural numbers n . The next term must be 63 + 2 : 63 + 2 = 216 + 2 = 218 Hence, Option D is the correct answer.

Find next term of the series $3, 10, 29, 66, 127, ?$

The correct answer is Option d: $218$. We are given the series: $3, 10, 29, 66, 127, \dots$ Let's express each term in relation to perfect cubes: - $3 = 1^3 + 2$ - $10 = 2^3 + 2$ - $29 = 3^3 + 2$ - $66 = 4^3 + 2$ - $127 = 5^3 + 2$ The series is of the form $n^3 + 2$ for consecutive natural numbers $n$. The next term must be $6^3 + 2$: $$6^3 + 2 = 216 + 2 = 218$$ Hence, **Option D** is the correct answer.

Number Series, Coding and DecodingMCQMTP Oct 21Question 2056 of 217

All Questions

Find next term of the series $\displaystyle 3, 10, 29, 66, 127, ?$

Options

\displaystyle 164

\displaystyle 187

\displaystyle 216

\displaystyle 218

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Correct Answer

✅ Option d — $\displaystyle 218$

All Options:

A $\displaystyle 164$
B $\displaystyle 187$
C $\displaystyle 216$
D $\displaystyle 218$

Detailed Solution & Explanation

We are given the series:

\displaystyle 3, 10, 29, 66, 127, \dots

Let's express each term in relation to perfect cubes:
-

\displaystyle 3 = 1^3 + 2

\displaystyle 10 = 2^3 + 2

\displaystyle 29 = 3^3 + 2

\displaystyle 66 = 4^3 + 2

\displaystyle 127 = 5^3 + 2

The series is of the form

\displaystyle n^3 + 2

for consecutive natural numbers

\displaystyle n

.
The next term must be

\displaystyle 6^3 + 2

6^3 + 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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Find next term of the series 3,10,29,66,127,?\displaystyle 3, 10, 29, 66, 127, ?3,10,29,66,127,?