Which number should come next 7, 26, 63, 124, 215, 342, ?

Option d: 511. Solution: To find the next number in the series 7, 26, 63, 124, 215, 342, ? , let us analyze the relation of each term to perfect cubes: 1st term: 23 - 1 = 8 - 1 = 7 2nd term: 33 - 1 = 27 - 1 = 26 3rd term: 43 - 1 = 64 - 1 = 63 4th term: 53 - 1 = 125 - 1 = 124 5th term: 63 - 1 = 216 - 1 = 215 6th term: 73 - 1 = 343 - 1 = 342 Following this pattern, the next term must be: 7th term: 83 - 1 = 512 - 1 = 511 Hence, Option D is the correct answer.

Which number should come next $7, 26, 63, 124, 215, 342, ?$

The correct answer is Option d: $511$. To find the next number in the series $7, 26, 63, 124, 215, 342, ?$, let us analyze the relation of each term to perfect cubes: 1st term: $2^3 - 1 = 8 - 1 = 7$ 2nd term: $3^3 - 1 = 27 - 1 = 26$ 3rd term: $4^3 - 1 = 64 - 1 = 63$ 4th term: $5^3 - 1 = 125 - 1 = 124$ 5th term: $6^3 - 1 = 216 - 1 = 215$ 6th term: $7^3 - 1 = 343 - 1 = 342$ Following this pattern, the next term must be: 7th term: $8^3 - 1 = 512 - 1 = 511$ Hence, **Option D** is the correct answer.

Number Series, Coding and DecodingMCQMTP Oct 21Question 2057 of 217

All Questions

Which number should come next $\displaystyle 7, 26, 63, 124, 215, 342, ?$

Options

\displaystyle 391

\displaystyle 421

\displaystyle 481

\displaystyle 511

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — $\displaystyle 511$

All Options:

A $\displaystyle 391$
B $\displaystyle 421$
C $\displaystyle 481$
D $\displaystyle 511$

Detailed Solution & Explanation

To find the next number in the series

\displaystyle 7, 26, 63, 124, 215, 342, ?

, let us analyze the relation of each term to perfect cubes:

1st term:

\displaystyle 2^3 - 1 = 8 - 1 = 7

2nd term:

\displaystyle 3^3 - 1 = 27 - 1 = 26

3rd term:

\displaystyle 4^3 - 1 = 64 - 1 = 63

4th term:

\displaystyle 5^3 - 1 = 125 - 1 = 124

5th term:

\displaystyle 6^3 - 1 = 216 - 1 = 215

6th term:

\displaystyle 7^3 - 1 = 343 - 1 = 342

Following this pattern, the next term must be:
7th term:

\displaystyle 8^3 - 1 = 512 - 1 = 511

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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Which number should come next 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?7,26,63,124,215,342,?