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Find the missing number in the analogy: 14 : 196 :: 17 : ?
289
256
324
225
289
Identify the relationship as Square Mapping: the second term is the square of the first term (x: x squared).
Identify the relationship as Square Mapping: the second term is the square of the first term (x: x squared).
Analyze the first pair
Observe the relationship between 14 and 196. Calculating the square of 14: 14 multiplied by 14 equals 196. The pattern is Term 1 squared = Term 2.
Apply the logic to the second pair
Apply the same square operation to 17. Calculating 17 squared: 17 multiplied by 17 equals 289.
B: 256 is the square of 16, which does not fit the input 17. C: 324 is the square of 18, which does not fit the input 17. D: 225 is the square of 15, which does not fit the input 17.
A is correct because 17 squared, representing the square of the first number in the analogy, is exactly 289.
For number analogies, always check for squares, cubes, and prime number sequences first, as these are the most common patterns in competitive exams like RRB JE.
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