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14 : 196 :: 17 : ?
256
289
324
225
289
Recognize standard squares of numbers immediately; the first number squared gives the second term.
Recognize standard squares of numbers immediately; the first number squared gives the second term.
Analyze the First Pair
Examine the relationship between 14 and 196. Since 14 multiplied by 14 equals 196 (14 squared), the pattern is n : n squared.
Apply Pattern to the Second Term
Take the second given number, which is 17, and apply the same rule by squaring it: 17 squared equals 289.
Match with Options
The calculated value is 289, which matches Option B.
A: 256 is incorrect because it is the square of 16, not 17. C: 324 is incorrect because it is the square of 18, not 17. D: 225 is incorrect because it is the square of 15, not 17.
B is correct because 17 squared equals 289, following the exact n to n squared pattern established by the first pair where 14 squared is 196.
Always memorize standard squares up to 30 and cubes up to 15 to instantly spot number analogies and series patterns within seconds.