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Select the option that is related to the third number in the same way as the second number is related to the first number: 14 : 196 :: 17 : ?
289
324
256
361
289
Identify the relationship as square mapping: the second number is simply the square of the first number.
Identify the relationship as square mapping: the second number is simply the square of the first number.
Analyze the relationship between 14 and 196
Observe that 14 multiplied by 14, or 14 squared, equals 196 (14 * 14 = 196).
Apply the same logic to 17
Follow the same mathematical operation: square the number 17. 17 * 17 = 289.
B: 324 is 18 squared, which does not follow the logic. C: 256 is 16 squared, which does not follow the logic. D: 361 is 19 squared, which does not follow the logic.
A is correct because the logic applied is n squared where n is the first number of the pair, and 17 squared equals 289.
For number analogies, always check for squares, cubes, and prime numbers first as they are the most frequent patterns in SSC and Railway exams.
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