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Find the missing number in the analogy: 12 : 144 :: 15 : ?
225
196
256
210
225
Recognize square number relationships instantly; the second term is always the square of the first term.
Recognize square number relationships instantly; the second term is always the square of the first term.
Analyze First Pair
Observe the relationship between 12 and 144. The number 12 squared (12 x 12) equals 144.
Apply Rule to Second Pair
Apply the exact same squaring rule to 15. Multiplying 15 by itself (15 x 15) gives 225.
B: 196 is the square of 14, C: 256 is the square of 16, D: 210 is the product of consecutive numbers 14 and 15; none of these match the squaring pattern of 15.
A is correct because squaring the number 15 results in 225, matching the square relationship from the first pair.
For number analogies, always check for squares and cubes first before exploring additive or multiplicative multipliers.