Number Series, Coding, Odd Man OutMTP Oct 21Question 2057 of 217
All Questions

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

Options

A391\displaystyle 391
B421\displaystyle 421
C481\displaystyle 481
D511\displaystyle 511
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Correct Answer

✅ Option d — 511\displaystyle 511

All Options:

  • A391\displaystyle 391
  • B421\displaystyle 421
  • C481\displaystyle 481
  • D511\displaystyle 511

Detailed Solution & Explanation

To find the next number in the series 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?, let us analyze the relation of each term to perfect cubes:

1st term: 23−1=8−1=7\displaystyle 2^3 - 1 = 8 - 1 = 7
2nd term: 33−1=27−1=26\displaystyle 3^3 - 1 = 27 - 1 = 26
3rd term: 43−1=64−1=63\displaystyle 4^3 - 1 = 64 - 1 = 63
4th term: 53−1=125−1=124\displaystyle 5^3 - 1 = 125 - 1 = 124
5th term: 63−1=216−1=215\displaystyle 6^3 - 1 = 216 - 1 = 215
6th term: 73−1=343−1=342\displaystyle 7^3 - 1 = 343 - 1 = 342

Following this pattern, the next term must be:
7th term: 83−1=512−1=511\displaystyle 8^3 - 1 = 512 - 1 = 511

Hence, **Option D** is the correct answer.

More Questions from Number Series, Coding, Odd Man Out

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