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Complete the analogy: 14 : 196 :: 16 : ?
225
256
289
196
256
Recognize the square relationship immediately: if the first number is n, the second number is its square (n squared).
Recognize the square relationship immediately: if the first number is n, the second number is its square (n squared).
Analyze First Pair
Examine the relationship between 14 and 196. Since 14 multiplied by 14 equals 196, the pattern is n to n squared.
Apply Pattern to Second Pair
Apply the same square operation to 16. 16 multiplied by 16 gives 256.
A: 225 is the square of 15, not 16. C: 289 is the square of 17, not 16. D: 196 is the square of 14 which belongs to the first pair.
B is correct because 16 squared equals 256, following the exact same square pattern established by the first pair.
Always check for squares and cubes first in number analogies before testing addition, subtraction, or multiplication rules.