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If 12:144 :: 15:X, find the value of X.
180
225
210
195
225
Identify the relationship as square of the first number (x:x²). Here, 12 squared is 144, so 15 squared must be the answer.
Identify the relationship as square of the first number (x:x²). Here, 12 squared is 144, so 15 squared must be the answer.
Analyze the first pair
Observe the relationship between 12 and 144. Calculating the square of 12 gives 12 x 12 = 144.
Apply the rule to the second pair
Apply the same logic (n: n²) to 15. The square of 15 is 15 x 15 = 225.
A: 180 is 12 x 15, which is not the square logic. C: 210 is 14 x 15, which does not follow the squaring pattern. D: 195 is 13 x 15, also irrelevant to the identified n squared pattern.
B is correct because the relationship between the two numbers is defined by the square of the first number, where 15 squared equals 225.
For analogy questions involving numbers, always check squares, cubes, and prime number sequences first before checking arithmetic operations like addition or multiplication.
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