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Which of the following options will bear the same relationship as the numbers given in the first part of the question?
236:1331::342::?
236:1331::342::?
- a)1728
- b)4913
- c)512
- d)729
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following options will bear the same relationship as the ...
236=2+3+6=11
113=1331
113=1331
Similarly,
342 = 3+4+2 = 9342=3+4+2=9
93=729
Therefore, option D is the right answer.
342 = 3+4+2 = 9342=3+4+2=9
93=729
Therefore, option D is the right answer.
Most Upvoted Answer
Which of the following options will bear the same relationship as the ...
Understanding the Relationship
To solve the analogy 236:1331::342:? effectively, we first need to identify the relationship between the numbers 236 and 1331.
Analyzing 236 and 1331
- Cubic Relationship:
- The number 1331 is the cube of 11 (11³ = 1331).
- The number 236 can be expressed as 6 (the sum of its digits: 2 + 3 + 6) raised to the power of 3 (6³ = 216) plus 20 (which does not impact the cube root directly).
Thus, the relationship we see is that 236 transforms into a cubic form leading to 1331.
Applying the Same Relationship to 342
Next, we need to find the equivalent value for 342 using the same transformation:
- Sum of Digits:
- The digits of 342 are 3, 4, and 2. Therefore, the sum is 3 + 4 + 2 = 9.
- Cubing the Sum:
- Now, we cube this result: 9³ = 729.
Conclusion
Based on the established relationship where the sum of the digits is cubed, we conclude:
- 236 relates to 1331 by the cubic of its digit sum, thus:
236:1331::342:729.
Hence, the correct answer is option D) 729.
To solve the analogy 236:1331::342:? effectively, we first need to identify the relationship between the numbers 236 and 1331.
Analyzing 236 and 1331
- Cubic Relationship:
- The number 1331 is the cube of 11 (11³ = 1331).
- The number 236 can be expressed as 6 (the sum of its digits: 2 + 3 + 6) raised to the power of 3 (6³ = 216) plus 20 (which does not impact the cube root directly).
Thus, the relationship we see is that 236 transforms into a cubic form leading to 1331.
Applying the Same Relationship to 342
Next, we need to find the equivalent value for 342 using the same transformation:
- Sum of Digits:
- The digits of 342 are 3, 4, and 2. Therefore, the sum is 3 + 4 + 2 = 9.
- Cubing the Sum:
- Now, we cube this result: 9³ = 729.
Conclusion
Based on the established relationship where the sum of the digits is cubed, we conclude:
- 236 relates to 1331 by the cubic of its digit sum, thus:
236:1331::342:729.
Hence, the correct answer is option D) 729.
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Which of the following options will bear the same relationship as the numbers given in the first part of the question?236:1331::342::?a)1728b)4913c)512d)729Correct answer is option 'D'. Can you explain this answer?
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Which of the following options will bear the same relationship as the numbers given in the first part of the question?236:1331::342::?a)1728b)4913c)512d)729Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Which of the following options will bear the same relationship as the numbers given in the first part of the question?236:1331::342::?a)1728b)4913c)512d)729Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following options will bear the same relationship as the numbers given in the first part of the question?236:1331::342::?a)1728b)4913c)512d)729Correct answer is option 'D'. Can you explain this answer?.
Which of the following options will bear the same relationship as the numbers given in the first part of the question?236:1331::342::?a)1728b)4913c)512d)729Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Which of the following options will bear the same relationship as the numbers given in the first part of the question?236:1331::342::?a)1728b)4913c)512d)729Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following options will bear the same relationship as the numbers given in the first part of the question?236:1331::342::?a)1728b)4913c)512d)729Correct answer is option 'D'. Can you explain this answer?.
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