Select the related numbers from the given alternative. 80:730::?: 344

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

Select the related numbers from the given alternative. 80:730::?: 344

A45

B49

C50

D48

Akhilesh ? Mar 31 '25 at 21:57

correct answer is: option b (49)
Explanation: The relationship between the numbers in the given pair is as follows: The second number is derived from the cube of a number close to the square root of the first number. Specifically, \(80 \approx 9^2\) and \(730 \approx 9^3 + 1\). Applying the same logic to find the missing number: \(344 \approx 7^3 + 1\), so the related number should be close to \(7^2 = 49\).

• Option a: 45 doesn't fit the pattern of being the square root of a number that can then be cubed and have 1 added to it to result 344.
• Option b: 49 fits the pattern. \(7^2 = 49\) and \(7^3 + 1 = 344\)
• Option c: 50 doesn't follow the relationship established in the first pair.
• Option d: 48 doesn't follow the relationship established in the first pair.

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correct answer is: option b (49) Explanation: The relationship between the numbers in the given pair is as follows: The second number is derived from the cube of a number close to the square root of the first number. Specifically, \(80 \approx 9^2\) and \(730 \approx 9^3 + 1\). Applying the same logic to find the missing number: \(344 \approx 7^3 + 1\), so the related number should be close to \(7^2 = 49\). Option a: 45 doesn't fit the pattern of being the square root of a number that can then be cubed and have 1 added to it to result 344. Option b: 49 fits the pattern. \(7^2 = 49\) and \(7^3 + 1 = 344\) Option c: 50 doesn't follow the relationship established in the first pair. Option d: 48 doesn't follow the relationship established in the first pair. Akhilesh ? answered Mar 31 '25 at 21:57

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