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Find the missing number in the analogy: 14 : 196 :: 16 : ?
225
256
289
196
256
Identify the relationship as n: n², where the second term is simply the square of the first term.
Identify the relationship as n: n², where the second term is simply the square of the first term.
Analyze the given pair
Observe the first pair: 14 and 196. Calculating 14 multiplied by 14 gives 14² = 196.
Apply the rule to the second pair
Apply the same squaring rule to the next number, 16. Calculate 16 squared, which is 16 * 16 = 256.
A: 225 is 15 squared, not 16 squared. C: 289 is 17 squared. D: 196 is 14 squared, which repeats the first term's squared value.
B is correct because the relationship follows the square of the number, and 16 squared is 256.
For number analogies, always check for squares, cubes, and prime number sequences before testing additive or multiplicative logic.
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