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Complete the analogy: 121 : 11 :: 169 : ?
12
13
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15
13
Identify the square root relationship: the second term is the square root of the first term (x²: x).
Identify the square root relationship: the second term is the square root of the first term (x²: x).
Analyze the first pair (121 : 11)
Identify the relationship between 121 and 11. Since 11 multiplied by 11 equals 121, the logic is that the second number is the square root of the first number (11² = 121).
Apply the logic to the second pair (169 : ?)
Apply the same square root operation to 169. Since 13 multiplied by 13 equals 169, the square root of 169 is 13.
A: 12 is incorrect as 12 squared is 144, not 169. C: 14 is incorrect as 14 squared is 196, not 169. D: 15 is incorrect as 15 squared is 225, not 169.
B is correct because the second term is the square root of the first term, and 13 is the square root of 169.
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