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Choose the number that is analogous to the pair: 9 : 81 :: 12 : ?
144
121
169
100
144
Identify the relationship as n : n squared. Apply the same power of 2 operation to the second number in the pair.
Identify the relationship as n : n squared. Apply the same power of 2 operation to the second number in the pair.
Analyze the first pair
The relationship between 9 and 81 is 9 multiplied by itself, or 9 raised to the power of 2 (9 squared = 81).
Apply the pattern to the second pair
Follow the same logic for 12: 12 multiplied by 12, or 12 raised to the power of 2 (12 squared = 144).
B: 121 is 11 squared, which does not follow the pattern. C: 169 is 13 squared, which does not follow the pattern. D: 100 is 10 squared, which does not follow the pattern.
A is correct because the logic follows the square of the given number (n squared), and 12 squared equals 144.
In number analogy questions, always test basic operations like squares and cubes before attempting complex arithmetic, as these are the most common patterns in competitive exams.
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