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AB 121 is related to CD 144. In the same way, EF 169 is related to GH 196. To which is IJ 225 related?
KL 256
KL 289
LM 256
KL 225
KL 256
Observe the alphabetical sequence for letter pairs and square the result of the consecutive numerical series (11, 12, 13, 14, 15...)
Observe the alphabetical sequence for letter pairs and square the result of the consecutive numerical series (11, 12, 13, 14, 15...)
Analyze Letter Sequence
The letters follow a consecutive pattern: AB → CD (+2), EF → GH (+2), IJ → KL (+2). Each pair of letters moves forward by 2 positions in the English alphabet.
Analyze Numerical Sequence
The numbers correspond to squares of consecutive integers: 121 (11 squared), 144 (12 squared), 169 (13 squared), 196 (14 squared), 225 (15 squared). The next value must be the square of 16, which is 256.
B: 289 is 17 squared, which is incorrect for the next integer. C: LM follows IJ skipping a letter, which breaks the pattern. D: 225 is the current value, not the next progression.
A is correct because the letter pair advances by 2 positions (IJ to KL) and the square number advances from 15 squared (225) to 16 squared (256).
When encountering alphanumeric analogies, always check the letter increment and the number sequence (squares, cubes, or primes) independently before combining them.