Number Series, Coding, Odd Man OutPYQ June 22Question 2024 of 217
All Questions

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

Options

A511
B672
C508
D556
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Correct Answer

✅ Option a — 511

All Options:

  • A511
  • B672
  • C508
  • D556

Detailed Solution & Explanation

We are given the series: 7,26,63,124,215,342,…\displaystyle 7, 26, 63, 124, 215, 342, \dots
Let's analyze each term in relation to perfect cubes:
- 7=23−1\displaystyle 7 = 2^3 - 1
- 26=33−1\displaystyle 26 = 3^3 - 1
- 63=43−1\displaystyle 63 = 4^3 - 1
- 124=53−1\displaystyle 124 = 5^3 - 1
- 215=63−1\displaystyle 215 = 6^3 - 1
- 342=73−1\displaystyle 342 = 7^3 - 1
The terms are of the form n3−1\displaystyle n^3 - 1 for consecutive natural numbers starting from 2\displaystyle 2.
The next term in the series must be 83−1\displaystyle 8^3 - 1:
83−1=512−1=5118^3 - 1 = 512 - 1 = 511
Hence, **Option A** is the correct answer.

More Questions from Number Series, Coding, Odd Man Out

The number in place of question mark in: 7,26,63,124,215,?,511\displaystyle 7, 26, 63, 124, 215, ?, 511 is

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If CLOCK is coded as 34235 and TIME as 8679, then MOTEL is coded as:

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