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14 : 196 :: 16 : ?
225
256
289
324
256
Identify the relationship as n : n squared. Here, 14 squared equals 196, so 16 squared equals 256.
Identify the relationship as n : n squared. Here, 14 squared equals 196, so 16 squared equals 256.
Analyze the first pair
Observe the relationship between 14 and 196. Since 14 multiplied by 14 equals 196, the pattern is n squared.
Apply the pattern to the second pair
Apply the same n squared logic to the number 16. Calculate 16 multiplied by 16, which results in 256.
A: 225 is 15 squared, which does not follow the n:n squared rule for 16; C: 289 is 17 squared; D: 324 is 18 squared.
B is correct because the logic follows the square of the first number in the pair, and 16 squared equals 256.
For number analogies, always check for squares, cubes, and prime numbers first as they appear in the majority of exam questions.
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