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Find the missing numbers:
. Given X and Y follow the square relationship.
X=11, Y=225
X=12, Y=225
X=11, Y=255
X=10, Y=225
X=11, Y=225
Quick Trick: Identify the square relationship by recognizing that numbers in the analogy are perfect squares of the preceding or succeeding variables.
Identify the square relationship by recognizing that numbers in the analogy are perfect squares of the preceding or succeeding variables.
Analyze the left side relationship
The ratio X: 121 indicates that X is related to its square 121. Since 11 squared equals 121, X must be 11.
Apply the pattern to the right side
The ratio 15: Y follows the same logic where 15 is the base number. Therefore, Y must be 15 squared, which equals 15 * 15 = 225.
B: 12 squared is 144, not 121; C: 15 squared is 225, not 255; D: 10 squared is 100, not 121.
A is correct because X follows the square of 11 (121) and Y follows the square of 15 (225), satisfying the defined square relationship.
Memorize squares up to 30 and cubes up to 20 to solve numerical analogy and series questions instantly without performing manual multiplication.