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Find the missing number in the analogy: 14 : 196 :: 18 : ?
324
256
289
361
324
Square the first number in the pair to get the second term (n to n squared).
Square the first number in the pair to get the second term (n to n squared).
Analyze First Pair Relationship
Look at the first pair 14: 196. Notice that 14 squared (14 * 14) equals 196.
Apply Rule to Second Pair
Apply the same squaring rule to the number 18. Calculate 18 squared (18 * 18), which equals 324.
B: 256 is incorrect because it is the square of 16. C: 289 is incorrect because it is the square of 17. D: 361 is incorrect because it is the square of 19.
A is correct because squaring the number 18 yields 324, matching the square pattern established by the first pair.
Memorizing standard squares up to 30 and cubes up to 20 dramatically speeds up calculation-based reasoning questions.