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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Complete the analogy: 8:64 :: 12:?
120
144
169
100
144
Identify the relationship between the first and second term; here, it is a square of the number, so apply the square to the third term to find the fourth.
Identify the relationship between the first and second term; here, it is a square of the number, so apply the square to the third term to find the fourth.
Analyze the first pair
Observe the relationship between 8 and 64. Since 8 multiplied by 8 equals 64, or 8 raised to the power of 2 equals 64, the rule is X: X².
Apply the rule to the second pair
Apply the same logic to 12. Square the number 12, which is 12 multiplied by 12, resulting in 144.
A: 120 is 10*12, which does not follow the squaring rule. C: 169 is 13 squared, not 12 squared. D: 100 is 10 squared, not 12 squared.
B is correct because the analogy follows the rule of squaring the input number, and 12 squared equals 144.
When encountering number analogies, always check for prime squares, squares + n, or squares - n if a direct square is not immediately obvious.
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