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Directions (Q.21-25): In the following number series only one number is wrong. Find out wrong number.
1,       4,       25,       256,       3125,       46656,       823543
  • a)
    3125
  • b)
    823543
  • c)
    46653
  • d)
    25
  • e)
    256
Correct answer is option 'D'. Can you explain this answer?
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Directions (Q.21-25): In the following number series only one number i...
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Directions (Q.21-25): In the following number series only one number i...
Understanding the Series
The given number series is:
1, 4, 25, 256, 3125, 46656, 823543
To find the wrong number, we need to identify the pattern in the series.
Identifying the Pattern
- Observe the numbers closely:
- 1 = 1^1
- 4 = 2^2
- 25 = 5^2
- 256 = 4^4
- 3125 = 5^5
- 46656 = 6^6
- 823543 = 7^7
- The pattern suggests a consistent progression with a relationship to powers of integers:
- 1 = 1^1
- 4 = 2^2
- 25 = 5^2
- 256 = 4^4
- 3125 = 5^5
- 46656 = 6^6
- 823543 = 7^7
Spotting the Inconsistency
- From the analysis, we see that the numbers represent a sequence of powers, but 25 (5^2) does not adhere to the established progression of perfect powers, as others do.
- Specifically, the correct sequence should maintain a consistent base and exponent pattern linked to increasing integers.
Conclusion
- Therefore, the wrong number in the series is 25.
- The other numbers fit the pattern of n^n (where n increases sequentially) much more appropriately.
Final Answer
- The correct answer is option 'D' - 25.
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Directions (Q.21-25): In the following number series only one number is wrong. Find out wrong number.1, 4, 25, 256, 3125, 46656, 823543a)3125b)823543c)46653d)25e)256Correct answer is option 'D'. Can you explain this answer?
Question Description
Directions (Q.21-25): In the following number series only one number is wrong. Find out wrong number.1, 4, 25, 256, 3125, 46656, 823543a)3125b)823543c)46653d)25e)256Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Directions (Q.21-25): In the following number series only one number is wrong. Find out wrong number.1, 4, 25, 256, 3125, 46656, 823543a)3125b)823543c)46653d)25e)256Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions (Q.21-25): In the following number series only one number is wrong. Find out wrong number.1, 4, 25, 256, 3125, 46656, 823543a)3125b)823543c)46653d)25e)256Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions (Q.21-25): In the following number series only one number is wrong. Find out wrong number.1, 4, 25, 256, 3125, 46656, 823543a)3125b)823543c)46653d)25e)256Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
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