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12 : 144 :: 15 : ?
225
196
256
210
225
Identify the relationship as square mapping: n: n². Here, 12 squared is 144, so 15 squared is 225.
Identify the relationship as square mapping: n: n². Here, 12 squared is 144, so 15 squared is 225.
Analyze the first pair
The relationship given is 12: 144. Calculating 12 multiplied by 12 (12²) results in 144.
Apply the pattern to the second pair
To maintain the same logical relationship (n: n²), apply the square operation to the number 15. Therefore, 15 multiplied by 15 (15²) equals 225.
B: 196 is 14², not related to 15. C: 256 is 16², which does not follow the n² pattern for 15. D: 210 is 15 multiplied by 14, which does not match the square relationship.
A is correct because the sequence follows the rule of squaring the first number to obtain the second number (15² = 225).
Always check for basic operations like squares, cubes, or multiplication factors when dealing with simple numerical analogies in railway or SSC exams.
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