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64 : 8 :: 144 : ?
10
12
14
16
12
Identify that the number on the left is the square of the number on the right, so find the square root of the second pair.
Identify that the number on the left is the square of the number on the right, so find the square root of the second pair.
Analyze the first pair (64 : 8)
Observe the relationship: 8 multiplied by itself (8 squared) equals 64. Thus, the relationship is x squared : x.
Apply the logic to the second pair (144 : ?)
To find the missing term, identify the number whose square is 144. Since 12 multiplied by 12 equals 144, the missing number is 12.
A: 10 squared is 100, not 144. C: 14 squared is 196, not 144. D: 16 squared is 256, not 144.
B is correct because 12 is the square root of 144, maintaining the inverse relationship (x²: x) established in the first pair.
For number analogy questions, always test squares, cubes, and prime number properties first as they cover over 70 percent of exam patterns.