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Quick Trick: Identify the relationship as square mapping: n: n┬▓. Here, 12 squared is 144, so 15 squared is 225.
Identify the relationship as square mapping: n: n┬▓. 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: n┬▓), 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 n┬▓ 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.