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Choose the number that is analogous to the pair: 14 : 196 :: 17 : ?
256
289
324
225
289
Identify the relationship between the first number and its successor: the second number is simply the square of the first number (n: n²).
Identify the relationship between the first number and its successor: the second number is simply the square of the first number (n: n²).
Analyze the given pair
In the pair 14: 196, we observe that 14 squared equals 196 (14 * 14 = 196).
Apply logic to the second pair
Following the same pattern, we must find the square of 17. Calculating 17 * 17 gives us 289.
A: 256 is 16 squared, not 17 squared; C: 324 is 18 squared; D: 225 is 15 squared.
B is correct because the logic establishes that the second term is the square of the first term (17 * 17 = 289).
For number analogies, always check for basic squares, cubes, or prime number sequences before looking for complex arithmetic operations.
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