Select the related numbers from the given alternative. 80:730::?: 344
Select the related numbers from the given alternative. 80:730::?: 344
A45
B49
C50
D48
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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≈92 and 730≈93+1. Applying the same logic to find the missing number: 344≈73+1, so the related number should be close to 72=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. 72=49 and 73+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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