Find missing term 7, 26, 63, 124, 215, 342, ?

Option d: 511. Solution: We are given the series: 7, 26, 63, 124, 215, 342, ... Let's analyze each term in relation to perfect cubes: - 7 = 23 - 1 - 26 = 33 - 1 - 63 = 43 - 1 - 124 = 53 - 1 - 215 = 63 - 1 - 342 = 73 - 1 The terms are of the form n3 - 1 for consecutive natural numbers starting from 2 . The next term in the series must be 83 - 1 : 83 - 1 = 512 - 1 = 511 Hence, Option D is the correct answer.

Find missing term $7, 26, 63, 124, 215, 342, ?$

The correct answer is Option d: $511$. We are given the series: $7, 26, 63, 124, 215, 342, \dots$ Let's analyze each term in relation to perfect cubes: - $7 = 2^3 - 1$ - $26 = 3^3 - 1$ - $63 = 4^3 - 1$ - $124 = 5^3 - 1$ - $215 = 6^3 - 1$ - $342 = 7^3 - 1$ The terms are of the form $n^3 - 1$ for consecutive natural numbers starting from $2$. The next term in the series must be $8^3 - 1$: $$8^3 - 1 = 512 - 1 = 511$$ Hence, **Option D** is the correct answer.

Number Series, Coding and DecodingMCQMTP May 20Question 2047 of 217

All Questions

Find missing term $\displaystyle 7, 26, 63, 124, 215, 342, ?$

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

We are given the series:

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

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

\displaystyle 7 = 2^3 - 1

\displaystyle 26 = 3^3 - 1

\displaystyle 63 = 4^3 - 1

\displaystyle 124 = 5^3 - 1

\displaystyle 215 = 6^3 - 1

\displaystyle 342 = 7^3 - 1

The terms are of the form

\displaystyle n^3 - 1

for consecutive natural numbers starting from

\displaystyle 2

.
The next term in the series must be

\displaystyle 8^3 - 1

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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Find missing term 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?7,26,63,124,215,342,?