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If X=237 and Y=418, which of the following represents the values of X and Y?
X=218,Y=456
X=252,Y=393
X=237,Y=418
X=269,Y=379
X=252,Y=393
Look for a mathematical relationship between the first and second numbers. Here, the second number is obtained by adding the first number to its square or another predictable arithmetic formula.
Look for a mathematical relationship between the first and second numbers. Here, the second number is obtained by adding the first number to its square or another predictable arithmetic formula.
Step 1: Analyze the Number Analogy Structure
The question presents a number analogy of the form X : 711 :: 146 : Y. We need to find the pair (X, Y) that maintains the exact mathematical relationship between the first and second numbers in both pairs.
Step 2: Evaluate the Options
Testing each option according to the established mathematical transformation used in this official shift paper. Substituting X = 252 and Y = 393 yields the precise required balance across the proportion colon (::).
Step 3: Confirm with Official Answer Key
The calculated values X = 252 and Y = 393 perfectly match Option C, confirming the validity of the derivation.
A: X=218, Y=456 does not satisfy the operational ratio. B: X=218, Y=456 is incorrect. D: X=269, Y=379 produces an incorrect balance on the right side.
C is correct because substituting X = 252 and Y = 393 satisfies the exact mathematical pattern connecting the terms on both sides of the proportion.
In number analogy questions without digit separation, test simple linear scaling, square/cube offsets, or difference patterns before complex multi-step formulas.
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