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Select the number that is related to the third number in the same way as the second number is related to the first:
324
288
342
306
324
Identify the relationship as square of the first number: n: n squared.
Identify the relationship as square of the first number: n: n squared.
Analyze the first pair
The relationship given is 14: 196. Here, 14 squared equals 14 multiplied by 14, which is 196.
Apply the pattern to the second pair
Following the same logic for the second pair, we need to find the square of 18. 18 multiplied by 18 equals 324.
B: 288 is incorrect because it is 18 multiplied by 16, not the square of 18. C: 342 is incorrect because it is 18 multiplied by 19, which follows a different logic. D: 306 is incorrect because it is 18 multiplied by 17, which does not match the square pattern.
A is correct because the relationship between the first and second numbers is a direct square of the first number, and 18 squared is 324.
Always check for squares, cubes, or prime number sequences first in numerical analogy questions, as these are the most common patterns.