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Find the wrong number in the given series
1, 125, 729, 2177
  • a)
    1
  • b)
    125
  • c)
    729
  • d)
    2177
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Find the wrong number in the given series1, 125, 729, 2177a)1b)125c)72...
Given 1, 125, 729, 2177
Let’s assume 1 = 13 , 125 = 53, 729 = 93.
However, the number difference is 40
So, the next number would be 133= 2197
Therefore, 2177 is wrong.
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Community Answer
Find the wrong number in the given series1, 125, 729, 2177a)1b)125c)72...
Understanding the Series
The given series is: 1, 125, 729, 2177. To identify the wrong number, we should look for a pattern among these numbers.
Identifying Patterns
- 1: This is 1^3 (cube of 1).
- 125: This is 5^3 (cube of 5).
- 729: This is 9^3 (cube of 9, which is also 3^2).
The first three numbers all represent cubes of integers.
Checking the Last Number
Now, let’s analyze the last number:
- 2177: This does not appear to follow the same cubic pattern.
To confirm, we can check the nearest cubes:
- 10^3 = 1000
- 11^3 = 1331
- 12^3 = 1728
- 13^3 = 2197
Since 2177 is not a perfect cube of any integer, it stands out from the pattern established by the previous numbers.
Conclusion
Thus, the wrong number in the series is 2177. It breaks the established pattern of perfect cubes, while the other numbers (1, 125, and 729) align perfectly with the cubic sequence.
Therefore, the correct answer is option 'D'.
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