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AE 56 is related to EI 60 in a certain way. In the same way, WA 91 is related to AE 95. To which of the following is XB 77 related, following the same logic?
IK 81
BF 81
PT 18
HN 81
BF 81
Observe that the number increment is always +4, and the letter transformation follows a fixed positional shift (+4, +4).
Observe that the number increment is always +4, and the letter transformation follows a fixed positional shift (+4, +4).
Analyze Letter Patterns
Mapping letters: AE to EI: A(1)+4=E(5), E(5)+4=I(9). WA to AE: W(23)+4=A(27=1), A(1)+4=E(5). Therefore, XB follows: X(24)+4=B(28=2), B(2)+4=F(6). Resulting letters are BF.
Analyze Number Patterns
The number sequence: 56 to 60 is +4. 91 to 95 is +4. Following this constant difference, 77 + 4 = 81. Combining the letters BF and the number 81 gives BF 81.
A: IK 81 is incorrect because the letter shift +4 from XB does not produce IK. C: PT 18 is incorrect as the letter shift is wrong and the number 18 does not follow the +4 pattern. D: HN 81 is incorrect as the letter shift from XB to HN does not follow the +4 logic.
B is correct because the logic follows adding 4 to the letter positions (X+4=B, B+4=F) and adding 4 to the numeric value (77+4=81), resulting in BF 81.
In letter-number analogies, always convert letters to their numeric positions (A=1, Z=26) immediately to simplify finding the mathematical relationship.