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‘AC 2’ is related to ‘DF 8’ in a certain way based on the English alphabetical and numerical order. In the same way, ‘IK 5’ is related to ‘LN 125’. To which of the following is ‘PR 7’ related following the same logic?
RU 343
SU 343
SU 216
TU 216
SU 343
The pattern is: First letter shifts +3, second letter shifts +3, and the middle number is the cube of the original number (1st number is 1, 2nd is 2, 3rd is 5, 4th is 7).
The pattern is: First letter shifts +3, second letter shifts +3, and the middle number is the cube of the original number (1st number is 1, 2nd is 2, 3rd is 5, 4th is 7).
Analyze Letter Transformation
Compare the letters: AC → DF (A+3=D, C+3=F) and IK → LN (I+3=L, K+3=N). Following this pattern, PR → (P+3=S, R+3=U), resulting in SU.
Analyze Number Transformation
The numbers follow a cube pattern based on their position in the sequence: 1 cubed is 1, 2 cubed is 8, 5 cubed is 125. The next in the sequence (7) cubed is 777 = 343.
A: RU 343 has incorrect letters as R+3=U and U+3=X, not R and U. C: SU 216 is wrong because 216 is the cube of 6, not 7. D: TU 216 is incorrect in both letter mapping and numerical cube calculation.
B is correct because the letter pattern requires adding 3 to each position (P+3=S, R+3=U) and the number pattern requires cubing the given term (7 to the power of 3 equals 343).
In alphanumeric analogies, always check if the digits represent simple arithmetic, squares, or cubes, as these are common patterns in SSC and Banking exams.
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